Abstract group data - 387072.a

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• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '3.1', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 252, 'aut_gen_orders': [12, 4], 'aut_gens': [[5286518490718657, 4137126760131137], [6388418649727024, 5632388213731896], [3014256869192886, 4879188247472663]], 'aut_group': '387072.a', 'aut_hash': 854758701050314474, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 387072, 'aut_permdeg': 1344, 'aut_perms': [43226770010471514494491157291713725391628114413378783008548639615304887121839232438196779032693239405241045771190465996042599106697070181600785146036469508758650108170852799521718699524263425832021515270486322890009225670039723500443365447173025832886856319958174676907656059215038306798917711271382109002256475381223222097580638403523532966286995455195420825635460004368859846768403602089314755176650043313403006125674809804262221144768916025376940736271522064003322552201701598393812057556609446304389537315983522520817945616481464444509880613842522662426740809313331248799196534753739113057997751427834384639488025113753452646856886344920906940139072601472217108830086550821222499606219407953401873715062742601495960964737363111349490399112826924146364936610743737361821683500721079101025516122108265417009718607477018757439828808838854969977196153452036161777090593199350515519880676960957587469333809115487437882089055776232334180303241931170194367094274971877471848757800728102580580030031398622387837422524356820801215267580129208951446113681213128494624010910778953213678350982852343664406404037830678958027445288373913280292601025308548116392218892085359016201935698033220901882918273069336527509557340894679675514953496051996585274151312112659537314032847058105816695375300427658620091282773427195585146180560482656606549933251747945778329373543277160561370572671320083256723164339288814515854725124645503902174256884138039491130518179006790897671056044661441710176710606442958528749940577093076596808297361822504852130360906858290482231110718778630772216224156633684572125711489713150160388513181931449701262760117779213846916428392237897989050638525065347844792734820396416537979732875729287992900389368926411641228165071485609007999312471886434876481943909998696454182239950644346050187910241958859304457480801379687133715403959434925740858063300346606455013547364852765045914526696135860055177272434175893048169904599519255694159290387236661887532986792801789506872740526184638905559614167466884601357843058670281867399451602599732359875024845612860763212644328195180258265726517794536631422584772149132450821429335519154113294271100870094478134240083750287038548772670407846699099392764450041214932106112993186549173811795785103557885308793125140417877300319656810954771963096210856206344937434086656014399858994700747223366812621221267605384338196237695831541763281858309456953218342445912100249047978592881948101774645713411245448090636811508622790094334859188844930991438658407392753734942275436527144569148806721132501603133200069235117765486001020070748853963899954404186563589912368779003997901372588987141318684413046817123481705644060801770567505510575751667389221629703690086907280518007271078484367039144515043193557864300522440380269960960963722923978416264305222922087528937706729208998154607522124268518880986593890978664799643036424760262248203450112796380115699989635922001887870915648232954954022187270478088101980680602256303828287069762382790386367675860424860512206792846761140103353940433288582982877077931397086238806429400724693527802349692146688791930052524228098712795140128347922122808465868779775382885660326176373889873639035335272053527955181445532995158037638134376982059455561627432985686750170394039808537733143296723166888048059910664561932377896383971832748709541640166898025368791610100850965143390668097081578644337159505856961936866995808460759755003595155038019122901309128140553076032991843156637955492950624701543934092793178909525474130159292849411934748613398971091587939595333267009118194212132422087028381900296776419254304580427583941630708939448670853558480003348, 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'aut_phi_ratio': 3.5, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 36, 1, 1], [2, 84, 1, 1], [2, 126, 1, 1], [2, 1008, 1, 1], [3, 1344, 1, 2], [3, 3584, 1, 1], [4, 1008, 1, 1], [4, 4032, 1, 2], [4, 6048, 1, 1], [6, 1344, 1, 2], [6, 2688, 1, 2], [6, 4032, 1, 4], [6, 8064, 1, 2], [6, 10752, 1, 1], [6, 16128, 1, 2], [7, 13824, 1, 1], [9, 43008, 1, 3], [12, 16128, 1, 6], [14, 13824, 1, 3]], 'aut_supersolvable': False, 'aut_tex': 'C_2^8:{}^2G(2,3)', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 252, 'autcentquo_group': '387072.a', 'autcentquo_hash': 854758701050314474, 'autcentquo_nilpotent': False, 'autcentquo_order': 387072, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2^8:{}^2G(2,3)', 'cc_stats': [[1, 1, 1], [2, 9, 1], [2, 36, 1], [2, 84, 1], [2, 126, 1], [2, 1008, 1], [3, 1344, 2], [3, 3584, 1], [4, 1008, 1], [4, 4032, 2], [4, 6048, 1], [6, 1344, 2], [6, 2688, 2], [6, 4032, 4], [6, 8064, 2], [6, 10752, 1], [6, 16128, 2], [7, 13824, 1], [9, 43008, 3], [12, 16128, 6], [14, 13824, 3]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '387072.a', 'commutator_count': 1, 'commutator_label': '129024.a', 'complements_known': True, 'complete': True, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '504.156'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 1, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 9, 1, 1], [2, 36, 1, 1], [2, 84, 1, 1], [2, 126, 1, 1], [2, 1008, 1, 1], [3, 1344, 2, 1], [3, 3584, 1, 1], [4, 1008, 1, 1], [4, 4032, 1, 2], [4, 6048, 1, 1], [6, 1344, 2, 1], [6, 2688, 2, 1], [6, 4032, 2, 2], [6, 8064, 2, 1], [6, 10752, 1, 1], [6, 16128, 2, 1], [7, 13824, 1, 1], [9, 43008, 1, 1], [9, 43008, 2, 1], [12, 16128, 2, 3], [14, 13824, 1, 1], [14, 13824, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 289680, 'exponent': 252, 'exponents_of_order': [11, 3, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [[9, 0, 2], [9, 1, 1], [27, 0, 2], [36, 0, 4], [36, 1, 2], [63, 0, 2], [63, 1, 1], [84, 0, 4], [84, 1, 2], [126, 0, 2], [126, 1, 1], [168, 0, 2], [168, 1, 1], [216, 1, 1], [378, 1, 1]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '387072.a', 'hash': 854758701050314474, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 252, 'inner_gen_orders': [12, 4], 'inner_gens': [[5286518490718657, 5640770564795094], [3773002893787440, 4137126760131137]], 'inner_hash': 854758701050314474, 'inner_nilpotent': False, 'inner_order': 387072, 'inner_split': True, 'inner_tex': 'C_2^8:{}^2G(2,3)', 'inner_used': [1, 2], 'irrC_degree': 9, 'irrQ_degree': 9, 'irrQ_dim': 9, 'irrR_degree': 9, 'irrep_stats': [[1, 3], [7, 3], [8, 3], [9, 3], [21, 1], [27, 3], [36, 6], [63, 3], [84, 6], [126, 3], [168, 3], [216, 1], [378, 1]], 'label': '387072.a', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C2^8:2G(2,3)', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 39, 'number_characteristic_subgroups': 4, 'number_conjugacy_classes': 39, 'number_divisions': 27, 'number_normal_subgroups': 4, 'number_subgroup_autclasses': 1548, 'number_subgroup_classes': 1548, 'number_subgroups': 2264956, 'old_label': None, 'order': 387072, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 1263], [3, 6272], [4, 15120], [6, 83328], [7, 13824], [9, 129024], [12, 96768], [14, 41472]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': True, 'outer_exponent': 1, 'outer_gen_orders': [], 'outer_gen_pows': [], 'outer_gens': [], 'outer_group': '1.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 1, 'outer_permdeg': 1, 'outer_perms': [], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_1', 'pc_rank': None, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 1], [2, 1], [7, 1], [8, 1], [9, 1], [14, 1], [16, 1], [18, 1], [21, 1], [27, 1], [36, 2], [54, 1], [63, 1], [72, 2], [84, 2], [126, 2], [168, 3], [216, 1], [252, 1], [336, 1], [378, 1]], 'representations': {'Perm': {'d': 18, 'gens': [4137126760131137, 5286518490718657]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [3], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^8:{}^2G(2,3)', 'transitive_degree': 18, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 110068054
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1, 'group_order': 387072, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 110068065
    {'aut_label': '2A', 'centralizer': '9.a1', 'counter': 2, 'group_counter': 1, 'group_order': 387072, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 357001369764607, 'size': 9}
  • id: 110068076
    {'aut_label': '2B', 'centralizer': '36.a1', 'counter': 3, 'group_counter': 1, 'group_order': 387072, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 355687428101040, 'size': 36}
  • id: 110068087
    {'aut_label': '2C', 'centralizer': '84.a1', 'counter': 4, 'group_counter': 1, 'group_order': 387072, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 1313901756841, 'size': 84}
  • id: 110068088
    {'aut_label': '2D', 'centralizer': '126.c1', 'counter': 5, 'group_counter': 1, 'group_order': 387072, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1307674736040, 'size': 126}
  • id: 110068089
    {'aut_label': '2E', 'centralizer': '1008.b1', 'counter': 6, 'group_counter': 1, 'group_order': 387072, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 2270887192184088, 'size': 1008}
  • id: 110068090
    {'aut_label': '3A1', 'centralizer': '1344.a1', 'counter': 7, 'group_counter': 1, 'group_order': 387072, 'label': '3A1', 'order': 3, 'powers': [8, 1, 7], 'representative': 13995166372438, 'size': 1344}
  • id: 110068091
    {'aut_label': '3A-1', 'centralizer': '1344.a1', 'counter': 8, 'group_counter': 1, 'group_order': 387072, 'label': '3A-1', 'order': 3, 'powers': [7, 1, 8], 'representative': 19614811893120, 'size': 1344}
  • id: 110068092
    {'aut_label': '3B', 'centralizer': '3584.a1', 'counter': 9, 'group_counter': 1, 'group_order': 387072, 'label': '3B', 'order': 3, 'powers': [9, 1, 9], 'representative': 1120100174328833, 'size': 3584}
  • id: 110068055
    {'aut_label': '4A', 'centralizer': '1008.a1', 'counter': 10, 'group_counter': 1, 'group_order': 387072, 'label': '4A', 'order': 4, 'powers': [2, 10, 10], 'representative': 6399550733586784, 'size': 1008}
  • id: 110068056
    {'aut_label': '4B', 'centralizer': '4032.c1', 'counter': 11, 'group_counter': 1, 'group_order': 387072, 'label': '4B', 'order': 4, 'powers': [3, 11, 11], 'representative': 4127382559601423, 'size': 4032}
  • id: 110068057
    {'aut_label': '4C', 'centralizer': '4032.d1', 'counter': 12, 'group_counter': 1, 'group_order': 387072, 'label': '4C', 'order': 4, 'powers': [4, 12, 12], 'representative': 2629357181308942, 'size': 4032}
  • id: 110068058
    {'aut_label': '4D', 'centralizer': '6048.l1', 'counter': 13, 'group_counter': 1, 'group_order': 387072, 'label': '4D', 'order': 4, 'powers': [5, 13, 13], 'representative': 1870503991764048, 'size': 6048}
  • id: 110068059
    {'aut_label': '6A1', 'centralizer': '1344.a1', 'counter': 14, 'group_counter': 1, 'group_order': 387072, 'label': '6A1', 'order': 6, 'powers': [7, 4, 14], 'representative': 4184168861105, 'size': 1344}
  • id: 110068060
    {'aut_label': '6A-1', 'centralizer': '1344.a1', 'counter': 15, 'group_counter': 1, 'group_order': 387072, 'label': '6A-1', 'order': 6, 'powers': [8, 4, 15], 'representative': 20841927345065, 'size': 1344}
  • id: 110068061
    {'aut_label': '6B1', 'centralizer': '2688.c1', 'counter': 16, 'group_counter': 1, 'group_order': 387072, 'label': '6B1', 'order': 6, 'powers': [8, 4, 16], 'representative': 4538883819081576, 'size': 2688}
  • id: 110068062
    {'aut_label': '6B-1', 'centralizer': '2688.c1', 'counter': 17, 'group_counter': 1, 'group_order': 387072, 'label': '6B-1', 'order': 6, 'powers': [7, 4, 17], 'representative': 5283735141512902, 'size': 2688}
  • id: 110068063
    {'aut_label': '6C1', 'centralizer': '4032.p1', 'counter': 18, 'group_counter': 1, 'group_order': 387072, 'label': '6C1', 'order': 6, 'powers': [7, 3, 18], 'representative': 375302239994160, 'size': 4032}
  • id: 110068064
    {'aut_label': '6C-1', 'centralizer': '4032.p1', 'counter': 19, 'group_counter': 1, 'group_order': 387072, 'label': '6C-1', 'order': 6, 'powers': [8, 3, 19], 'representative': 369682594473478, 'size': 4032}
  • id: 110068066
    {'aut_label': '6D1', 'centralizer': '4032.p1', 'counter': 20, 'group_counter': 1, 'group_order': 387072, 'label': '6D1', 'order': 6, 'powers': [7, 2, 20], 'representative': 365404631541535, 'size': 4032}
  • id: 110068067
    {'aut_label': '6D-1', 'centralizer': '4032.p1', 'counter': 21, 'group_counter': 1, 'group_order': 387072, 'label': '6D-1', 'order': 6, 'powers': [8, 2, 21], 'representative': 373806796164775, 'size': 4032}
  • id: 110068068
    {'aut_label': '6E1', 'centralizer': '8064.x1', 'counter': 22, 'group_counter': 1, 'group_order': 387072, 'label': '6E1', 'order': 6, 'powers': [7, 5, 22], 'representative': 5631033638793169, 'size': 8064}
  • id: 110068069
    {'aut_label': '6E-1', 'centralizer': '8064.x1', 'counter': 23, 'group_counter': 1, 'group_order': 387072, 'label': '6E-1', 'order': 6, 'powers': [8, 5, 23], 'representative': 2618152204159135, 'size': 8064}
  • id: 110068070
    {'aut_label': '6F', 'centralizer': '10752.d1', 'counter': 24, 'group_counter': 1, 'group_order': 387072, 'label': '6F', 'order': 6, 'powers': [9, 4, 24], 'representative': 3012962691888000, 'size': 10752}
  • id: 110068071
    {'aut_label': '6G1', 'centralizer': '16128.b1', 'counter': 25, 'group_counter': 1, 'group_order': 387072, 'label': '6G1', 'order': 6, 'powers': [7, 6, 25], 'representative': 1113018871898568, 'size': 16128}
  • id: 110068072
    {'aut_label': '6G-1', 'centralizer': '16128.b1', 'counter': 26, 'group_counter': 1, 'group_order': 387072, 'label': '6G-1', 'order': 6, 'powers': [8, 6, 26], 'representative': 5273856955952046, 'size': 16128}
  • id: 110068073
    {'aut_label': '7A', 'centralizer': '13824.a1', 'counter': 27, 'group_counter': 1, 'group_order': 387072, 'label': '7A', 'order': 7, 'powers': [27, 27, 1], 'representative': 4875083418625926, 'size': 13824}
  • id: 110068074
    {'aut_label': '9A', 'centralizer': '43008.b1', 'counter': 28, 'group_counter': 1, 'group_order': 387072, 'label': '9A', 'order': 9, 'powers': [28, 9, 28], 'representative': 3389478200265576, 'size': 43008}
  • id: 110068075
    {'aut_label': '9B1', 'centralizer': '43008.c1', 'counter': 29, 'group_counter': 1, 'group_order': 387072, 'label': '9B1', 'order': 9, 'powers': [30, 9, 29], 'representative': 6388424961782400, 'size': 43008}
  • id: 110068077
    {'aut_label': '9B-1', 'centralizer': '43008.c1', 'counter': 30, 'group_counter': 1, 'group_order': 387072, 'label': '9B-1', 'order': 9, 'powers': [29, 9, 30], 'representative': 3382537600535639, 'size': 43008}
  • id: 110068078
    {'aut_label': '12A1', 'centralizer': '16128.d1', 'counter': 31, 'group_counter': 1, 'group_order': 387072, 'label': '12A1', 'order': 12, 'powers': [18, 11, 31], 'representative': 3778622628445422, 'size': 16128}
  • id: 110068079
    {'aut_label': '12A-1', 'centralizer': '16128.d1', 'counter': 32, 'group_counter': 1, 'group_order': 387072, 'label': '12A-1', 'order': 12, 'powers': [19, 11, 32], 'representative': 4139916288842903, 'size': 16128}
  • id: 110068080
    {'aut_label': '12B1', 'centralizer': '16128.e1', 'counter': 33, 'group_counter': 1, 'group_order': 387072, 'label': '12B1', 'order': 12, 'powers': [14, 12, 33], 'representative': 2625085442252038, 'size': 16128}
  • id: 110068081
    {'aut_label': '12B-1', 'centralizer': '16128.e1', 'counter': 34, 'group_counter': 1, 'group_order': 387072, 'label': '12B-1', 'order': 12, 'powers': [15, 12, 34], 'representative': 2627855508090382, 'size': 16128}
  • id: 110068082
    {'aut_label': '12C1', 'centralizer': '16128.c1', 'counter': 35, 'group_counter': 1, 'group_order': 387072, 'label': '12C1', 'order': 12, 'powers': [20, 10, 35], 'representative': 6041039504394953, 'size': 16128}
  • id: 110068083
    {'aut_label': '12C-1', 'centralizer': '16128.c1', 'counter': 36, 'group_counter': 1, 'group_order': 387072, 'label': '12C-1', 'order': 12, 'powers': [21, 10, 36], 'representative': 6388418649732070, 'size': 16128}
  • id: 110068084
    {'aut_label': '14A', 'centralizer': '13824.a1', 'counter': 37, 'group_counter': 1, 'group_order': 387072, 'label': '14A', 'order': 14, 'powers': [27, 37, 3], 'representative': 4523453396138881, 'size': 13824}
  • id: 110068085
    {'aut_label': '14B1', 'centralizer': '13824.a1', 'counter': 38, 'group_counter': 1, 'group_order': 387072, 'label': '14B1', 'order': 14, 'powers': [27, 39, 2], 'representative': 5633809890883321, 'size': 13824}
  • id: 110068086
    {'aut_label': '14B-1', 'centralizer': '13824.a1', 'counter': 39, 'group_counter': 1, 'group_order': 387072, 'label': '14B-1', 'order': 14, 'powers': [27, 38, 2], 'representative': 1512033823613095, 'size': 13824}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 4510153
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4510164
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.1b', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2], 'schur_index': 1}
  • id: 4510173
    {'cdim': 7, 'counter': 3, 'faithful': False, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.7a', 'multiplicity': 1, 'nt': [56, 0], 'qdim': 7, 'qvalues': [7, 7, 7, 7, 7, -1, 1, 1, -2, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -1, -1, 0, 1, 1, 1, -1, -1, -1, -1, -1, -1, 0, 0, 0], 'schur_index': 1}
  • id: 4510175
    {'cdim': 8, 'counter': 5, 'faithful': False, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.8a', 'multiplicity': 1, 'nt': [9, 32], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 0, 2, 2, -1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, 0, 0, 1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1], 'schur_index': 1}
  • id: 4510177
    {'cdim': 9, 'counter': 7, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.9a', 'multiplicity': 1, 'nt': [18, 890], 'qdim': 9, 'qvalues': [9, -7, 5, -3, 1, 1, 3, 3, 0, 1, -1, -1, 1, 3, 3, -3, -3, -1, -1, -1, -1, 1, 1, 0, 1, 1, 2, 0, 0, 0, -1, 1, -1, -1, -1, 1, 0, 0, -2], 'schur_index': 1}
  • id: 4510174
    {'cdim': 7, 'counter': 4, 'faithful': False, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.7b', 'multiplicity': 2, 'nt': [168, 0], 'qdim': 14, 'qvalues': [14, 14, 14, 14, 14, -2, -1, -1, -4, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, 1, 1, 0, -1, 2, -1, 1, 1, 1, 1, 1, 1, 0, 0, 0], 'schur_index': 1}
  • id: 4510176
    {'cdim': 8, 'counter': 6, 'faithful': False, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.8b', 'multiplicity': 2, 'nt': [27, 391], 'qdim': 16, 'qvalues': [16, 16, 16, 16, 16, 0, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 2, 1, -2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2], 'schur_index': 1}
  • id: 4510178
    {'cdim': 9, 'counter': 8, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.9b', 'multiplicity': 2, 'nt': [54, 0], 'qdim': 18, 'qvalues': [18, -14, 10, -6, 2, 2, -3, -3, 0, 2, -2, -2, 2, -3, -3, 3, 3, 1, 1, 1, 1, -1, -1, 0, -1, -1, 4, 0, 0, 0, 1, -1, 1, 1, 1, -1, 0, 0, -4], 'schur_index': 1}
  • id: 4510179
    {'cdim': 21, 'counter': 9, 'faithful': False, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.21a', 'multiplicity': 1, 'nt': [56, 0], 'qdim': 21, 'qvalues': [21, 21, 21, 21, 21, -3, 0, 0, 3, -3, -3, -3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4510154
    {'cdim': 27, 'counter': 10, 'faithful': False, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.27a', 'multiplicity': 1, 'nt': [28, 165], 'qdim': 27, 'qvalues': [27, 27, 27, 27, 27, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1], 'schur_index': 1}
  • id: 4510156
    {'cdim': 36, 'counter': 12, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.36a', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 36, 'qvalues': [36, 20, 8, 0, -4, -4, 3, 3, 0, 4, -2, 2, 0, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, 0, -1, -1, 1, 0, 0, 0, -1, 1, 1, -1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 4510157
    {'cdim': 36, 'counter': 13, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.36b', 'multiplicity': 1, 'nt': [72, 0], 'qdim': 36, 'qvalues': [36, 20, 8, 0, -4, 4, 3, 3, 0, -4, 2, -2, 0, 3, 3, 3, 3, -1, -1, -1, -1, -1, -1, 0, 1, 1, 1, 0, 0, 0, 1, -1, -1, 1, -1, -1, -1, -1, 1], 'schur_index': 1}
  • id: 4510155
    {'cdim': 27, 'counter': 11, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.27b', 'multiplicity': 2, 'nt': [126, 0], 'qdim': 54, 'qvalues': [54, -42, 30, -18, 6, 6, 0, 0, 0, 6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
  • id: 4510160
    {'cdim': 63, 'counter': 16, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.63a', 'multiplicity': 1, 'nt': [126, 0], 'qdim': 63, 'qvalues': [63, -49, 35, -21, 7, -1, 3, 3, 0, -1, 1, 1, -1, 3, 3, -3, -3, -1, -1, -1, -1, 1, 1, 0, -1, -1, 0, 0, 0, 0, 1, -1, 1, 1, 1, -1, 0, 0, 0], 'schur_index': 1}
  • id: 4510158
    {'cdim': 36, 'counter': 14, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.36c', 'multiplicity': 2, 'nt': [216, 0], 'qdim': 72, 'qvalues': [72, 40, 16, 0, -8, -8, -3, -3, 0, 8, -4, 4, 0, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, -1, -1, 1, -1, -1, -2, -2, 2], 'schur_index': 1}
  • id: 4510159
    {'cdim': 36, 'counter': 15, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.36d', 'multiplicity': 2, 'nt': [216, 0], 'qdim': 72, 'qvalues': [72, 40, 16, 0, -8, 8, -3, -3, 0, -8, 4, -4, 0, -3, -3, -3, -3, 1, 1, 1, 1, 1, 1, 0, -1, -1, 2, 0, 0, 0, -1, 1, 1, -1, 1, 1, -2, -2, 2], 'schur_index': 1}
  • id: 4510162
    {'cdim': 84, 'counter': 18, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.84a', 'multiplicity': 1, 'nt': [112, 0], 'qdim': 84, 'qvalues': [84, -28, 0, 8, -4, 4, 3, 3, 3, -4, -2, 2, 0, -1, -1, -1, -1, -1, -1, 3, 3, -1, -1, -1, 1, 1, 0, 0, 0, 0, -1, -1, 1, -1, 1, -1, 0, 0, 0], 'schur_index': 1}
  • id: 4510163
    {'cdim': 84, 'counter': 19, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.84b', 'multiplicity': 1, 'nt': [168, 0], 'qdim': 84, 'qvalues': [84, -28, 0, 8, -4, -4, 3, 3, 3, 4, 2, -2, 0, -1, -1, -1, -1, -1, -1, 3, 3, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, -1, 1, -1, 1, 0, 0, 0], 'schur_index': 1}
  • id: 4510161
    {'cdim': 63, 'counter': 17, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.63b', 'multiplicity': 2, 'nt': [378, 0], 'qdim': 126, 'qvalues': [126, -98, 70, -42, 14, -2, -3, -3, 0, -2, 2, 2, -2, -3, -3, 3, 3, 1, 1, 1, 1, -1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 1, -1, -1, -1, 1, 0, 0, 0], 'schur_index': 1}
  • id: 4510167
    {'cdim': 126, 'counter': 22, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.126a', 'multiplicity': 1, 'nt': [144, 0], 'qdim': 126, 'qvalues': [126, 14, -14, -6, 6, 6, 6, 6, 0, 6, 0, 0, -2, -6, -6, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4510165
    {'cdim': 84, 'counter': 20, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.84c', 'multiplicity': 2, 'nt': [336, 0], 'qdim': 168, 'qvalues': [168, -56, 0, 16, -8, 8, -3, -3, 6, -8, -4, 4, 0, 1, 1, 1, 1, 1, 1, -3, -3, 1, 1, -2, -1, -1, 0, 0, 0, 0, 1, 1, -1, 1, -1, 1, 0, 0, 0], 'schur_index': 1}
  • id: 4510166
    {'cdim': 84, 'counter': 21, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.84d', 'multiplicity': 2, 'nt': [504, 0], 'qdim': 168, 'qvalues': [168, -56, 0, 16, -8, -8, -3, -3, 6, 8, 4, -4, 0, 1, 1, 1, 1, 1, 1, -3, -3, 1, 1, -2, 1, 1, 0, 0, 0, 0, -1, -1, 1, -1, 1, -1, 0, 0, 0], 'schur_index': 1}
  • id: 4510169
    {'cdim': 168, 'counter': 24, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.168a', 'multiplicity': 1, 'nt': [504, 0], 'qdim': 168, 'qvalues': [168, -56, 0, 16, -8, 0, 0, 0, -3, 0, 0, 0, 0, 4, 4, -2, -2, 4, 4, 0, 0, -2, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4510171
    {'cdim': 216, 'counter': 26, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.216a', 'multiplicity': 1, 'nt': [336, 0], 'qdim': 216, 'qvalues': [216, 120, 48, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1], 'schur_index': 1}
  • id: 4510168
    {'cdim': 126, 'counter': 23, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.126b', 'multiplicity': 2, 'nt': [432, 0], 'qdim': 252, 'qvalues': [252, 28, -28, -12, 12, 12, -6, -6, 0, 12, 0, 0, -4, 6, 6, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4510170
    {'cdim': 168, 'counter': 25, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.168b', 'multiplicity': 2, 'nt': [1008, 0], 'qdim': 336, 'qvalues': [336, -112, 0, 32, -16, 0, 0, 0, -6, 0, 0, 0, 0, -4, -4, 2, 2, -4, -4, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4510172
    {'cdim': 378, 'counter': 27, 'faithful': True, 'group': '387072.a', 'group_order': 387072, 'image': None, 'label': '387072.a.378a', 'multiplicity': 1, 'nt': [432, 0], 'qdim': 378, 'qvalues': [378, 42, -42, -18, 18, -6, 0, 0, 0, -6, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 6975513
    {'center': None, 'center_index': 1, 'center_order': 387072, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': None, 'kernel_order': 387072, 'label': '387072.a.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6975524
    {'center': None, 'center_index': 1, 'center_order': 387072, 'counter': 2, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': None, 'kernel_order': 129024, 'label': '387072.a.1b1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6975535
    {'center': None, 'center_index': 1, 'center_order': 387072, 'counter': 3, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': None, 'kernel_order': 129024, 'label': '387072.a.1b2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6975546
    {'center': None, 'center_index': 1512, 'center_order': 256, 'counter': 4, 'cyclotomic_n': 1, 'dim': 7, 'faithful': False, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1512.779', 'image_order': 1512, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '387072.a.7a', 'nt': [56, 0], 'q_character': None, 'values': [[[7, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975547
    {'center': None, 'center_index': 1512, 'center_order': 256, 'counter': 5, 'cyclotomic_n': 3, 'dim': 7, 'faithful': False, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1512.779', 'image_order': 1512, 'indicator': 0, 'kernel': None, 'kernel_order': 256, 'label': '387072.a.7b1', 'nt': [168, 0], 'q_character': None, 'values': [[[7, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-2, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975548
    {'center': None, 'center_index': 1512, 'center_order': 256, 'counter': 6, 'cyclotomic_n': 3, 'dim': 7, 'faithful': False, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1512.779', 'image_order': 1512, 'indicator': 0, 'kernel': None, 'kernel_order': 256, 'label': '387072.a.7b2', 'nt': [168, 2], 'q_character': None, 'values': [[[7, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[7, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-2, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975549
    {'center': None, 'center_index': 1512, 'center_order': 256, 'counter': 7, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1512.779', 'image_order': 1512, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '387072.a.8a', 'nt': [9, 32], 'q_character': None, 'values': [[[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6975550
    {'center': None, 'center_index': 1512, 'center_order': 256, 'counter': 8, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1512.779', 'image_order': 1512, 'indicator': 0, 'kernel': None, 'kernel_order': 256, 'label': '387072.a.8b1', 'nt': [27, 391], 'q_character': None, 'values': [[[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6975551
    {'center': None, 'center_index': 1512, 'center_order': 256, 'counter': 9, 'cyclotomic_n': 3, 'dim': 8, 'faithful': False, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1512.779', 'image_order': 1512, 'indicator': 0, 'kernel': None, 'kernel_order': 256, 'label': '387072.a.8b2', 'nt': [27, 2], 'q_character': None, 'values': [[[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 6975514
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 10, 'cyclotomic_n': 1, 'dim': 9, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.9a', 'nt': [18, 890], 'q_character': None, 'values': [[[9, 0]], [[-7, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]]]}
  • id: 6975515
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 11, 'cyclotomic_n': 3, 'dim': 9, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.9b1', 'nt': [54, 0], 'q_character': None, 'values': [[[9, 0]], [[-7, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, -1]], [[-3, -1]], [[-3, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[1, 1]], [[1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-2, 0]]]}
  • id: 6975516
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 12, 'cyclotomic_n': 3, 'dim': 9, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.9b2', 'nt': [54, 2], 'q_character': None, 'values': [[[9, 0]], [[-7, 0]], [[5, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, 1]], [[-3, 1]], [[-3, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[1, -1]], [[1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-2, 0]]]}
  • id: 6975517
    {'center': None, 'center_index': 1512, 'center_order': 256, 'counter': 13, 'cyclotomic_n': 1, 'dim': 21, 'faithful': False, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1512.779', 'image_order': 1512, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '387072.a.21a', 'nt': [56, 0], 'q_character': None, 'values': [[[21, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[21, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975518
    {'center': None, 'center_index': 1512, 'center_order': 256, 'counter': 14, 'cyclotomic_n': 1, 'dim': 27, 'faithful': False, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '1512.779', 'image_order': 1512, 'indicator': 1, 'kernel': None, 'kernel_order': 256, 'label': '387072.a.27a', 'nt': [28, 165], 'q_character': None, 'values': [[[27, 0]], [[27, 0]], [[27, 0]], [[27, 0]], [[27, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 6975519
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 15, 'cyclotomic_n': 7, 'dim': 27, 'faithful': True, 'field': [2, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.27b1', 'nt': [126, 0], 'q_character': None, 'values': [[[27, 0]], [[-21, 0]], [[15, 0]], [[-9, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[1, 0]]]}
  • id: 6975520
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 16, 'cyclotomic_n': 7, 'dim': 27, 'faithful': True, 'field': [2, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.27b2', 'nt': [126, 2], 'q_character': None, 'values': [[[27, 0]], [[-21, 0]], [[15, 0]], [[-9, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[1, 0]]]}
  • id: 6975521
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 17, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.36a', 'nt': [72, 0], 'q_character': None, 'values': [[[36, 0]], [[20, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6975522
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 18, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.36b', 'nt': [72, 0], 'q_character': None, 'values': [[[36, 0]], [[20, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6975523
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 19, 'cyclotomic_n': 3, 'dim': 36, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.36c1', 'nt': [216, 0], 'q_character': None, 'values': [[[36, 0]], [[20, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6975525
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 20, 'cyclotomic_n': 3, 'dim': 36, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.36c2', 'nt': [216, 2], 'q_character': None, 'values': [[[36, 0]], [[20, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6975526
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 21, 'cyclotomic_n': 3, 'dim': 36, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.36d1', 'nt': [216, 0], 'q_character': None, 'values': [[[36, 0]], [[20, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6975527
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 22, 'cyclotomic_n': 3, 'dim': 36, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.36d2', 'nt': [216, 2], 'q_character': None, 'values': [[[36, 0]], [[20, 0]], [[8, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 6975528
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 23, 'cyclotomic_n': 1, 'dim': 63, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.63a', 'nt': [126, 0], 'q_character': None, 'values': [[[63, 0]], [[-49, 0]], [[35, 0]], [[-21, 0]], [[7, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975529
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 24, 'cyclotomic_n': 3, 'dim': 63, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.63b1', 'nt': [378, 0], 'q_character': None, 'values': [[[63, 0]], [[-49, 0]], [[35, 0]], [[-21, 0]], [[7, 0]], [[-1, 0]], [[3, -1]], [[3, 1]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 1]], [[3, -1]], [[-3, -1]], [[-3, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975530
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 25, 'cyclotomic_n': 3, 'dim': 63, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.63b2', 'nt': [378, 2], 'q_character': None, 'values': [[[63, 0]], [[-49, 0]], [[35, 0]], [[-21, 0]], [[7, 0]], [[-1, 0]], [[3, 1]], [[3, -1]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, -1]], [[3, 1]], [[-3, 1]], [[-3, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975531
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 26, 'cyclotomic_n': 1, 'dim': 84, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.84a', 'nt': [112, 0], 'q_character': None, 'values': [[[84, 0]], [[-28, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975532
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 27, 'cyclotomic_n': 1, 'dim': 84, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.84b', 'nt': [168, 0], 'q_character': None, 'values': [[[84, 0]], [[-28, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975533
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 28, 'cyclotomic_n': 3, 'dim': 84, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.84c1', 'nt': [336, 0], 'q_character': None, 'values': [[[84, 0]], [[-28, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[3, -1]], [[3, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975534
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 29, 'cyclotomic_n': 3, 'dim': 84, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.84c2', 'nt': [336, 2], 'q_character': None, 'values': [[[84, 0]], [[-28, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[4, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[3, 1]], [[3, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975536
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 30, 'cyclotomic_n': 3, 'dim': 84, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.84d1', 'nt': [504, 0], 'q_character': None, 'values': [[[84, 0]], [[-28, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[3, -1]], [[3, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975537
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 31, 'cyclotomic_n': 3, 'dim': 84, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.84d2', 'nt': [504, 2], 'q_character': None, 'values': [[[84, 0]], [[-28, 0]], [[0, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[3, 1]], [[3, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975538
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 32, 'cyclotomic_n': 1, 'dim': 126, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.126a', 'nt': [144, 0], 'q_character': None, 'values': [[[126, 0]], [[14, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975539
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 33, 'cyclotomic_n': 3, 'dim': 126, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.126b1', 'nt': [432, 0], 'q_character': None, 'values': [[[126, 0]], [[14, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[6, -1]], [[6, 1]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-6, 1]], [[-6, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975540
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 34, 'cyclotomic_n': 3, 'dim': 126, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.126b2', 'nt': [432, 2], 'q_character': None, 'values': [[[126, 0]], [[14, 0]], [[-14, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[6, 1]], [[6, -1]], [[0, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-6, -1]], [[-6, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975541
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 35, 'cyclotomic_n': 1, 'dim': 168, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.168a', 'nt': [504, 0], 'q_character': None, 'values': [[[168, 0]], [[-56, 0]], [[0, 0]], [[16, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975542
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 36, 'cyclotomic_n': 3, 'dim': 168, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.168b1', 'nt': [1008, 0], 'q_character': None, 'values': [[[168, 0]], [[-56, 0]], [[0, 0]], [[16, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975543
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 37, 'cyclotomic_n': 3, 'dim': 168, 'faithful': True, 'field': [1, -1, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.168b2', 'nt': [1008, 2], 'q_character': None, 'values': [[[168, 0]], [[-56, 0]], [[0, 0]], [[16, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 6975544
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 38, 'cyclotomic_n': 1, 'dim': 216, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.216a', 'nt': [336, 0], 'q_character': None, 'values': [[[216, 0]], [[120, 0]], [[48, 0]], [[0, 0]], [[-24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 6975545
    {'center': None, 'center_index': 387072, 'center_order': 1, 'counter': 39, 'cyclotomic_n': 1, 'dim': 378, 'faithful': True, 'field': [0, 1], 'group': '387072.a', 'group_counter': 1, 'group_order': 387072, 'image': None, 'image_isoclass': '387072.a', 'image_order': 387072, 'indicator': 1, 'kernel': None, 'kernel_order': 1, 'label': '387072.a.378a', 'nt': [432, 0], 'q_character': None, 'values': [[[378, 0]], [[42, 0]], [[-42, 0]], [[-18, 0]], [[18, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 66248863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 387072, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '387072.a.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': False, 'special_labels': ['L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '387072.a', 'subgroup_hash': 854758701050314474, 'subgroup_order': 387072, 'subgroup_tex': 'C_2^8:{}^2G(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66249523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 129024, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '387072.a.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': False, 'special_labels': ['D', 'PC', 'L1', 'D1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '129024.a', 'subgroup_hash': 4838634085361710012, 'subgroup_order': 129024, 'subgroup_tex': 'C_2^8:\\SL(2,8)', 'supersolvable': False, 'sylow': 0}
  • id: 66249634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 256, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.9.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43008.y', 'subgroup_hash': 4479900793081546041, 'subgroup_order': 43008, 'subgroup_tex': 'C_2^7.F_8:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21504.u', 'subgroup_hash': 3190014064209402499, 'subgroup_order': 21504, 'subgroup_tex': 'C_2^7:F_8:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 256, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '387072.a.27.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14336.l', 'subgroup_hash': 7301413267142190903, 'subgroup_order': 14336, 'subgroup_tex': 'C_2^8.F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 256, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.28.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13824.s', 'subgroup_hash': 634197619334650966, 'subgroup_order': 13824, 'subgroup_tex': 'C_2^2:A_4^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 256, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.36.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10752.n', 'subgroup_hash': 505667083962326603, 'subgroup_order': 10752, 'subgroup_tex': 'C_2^8.F_7', 'supersolvable': False, 'sylow': 0}
  • id: 66250189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.54.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7168.s', 'subgroup_hash': 2653580329567171725, 'subgroup_order': 7168, 'subgroup_tex': 'C_2^7:F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66250300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 256, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.56.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6912.bl', 'subgroup_hash': 5192336459963078177, 'subgroup_order': 6912, 'subgroup_tex': 'C_2^2:A_4^2.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 256, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.63.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '63.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 63, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6144.co', 'subgroup_hash': 219397413953994763, 'subgroup_order': 6144, 'subgroup_tex': 'C_2\\wr C_2^3:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66248975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.bi', 'subgroup_hash': 651681584992391079, 'subgroup_order': 5376, 'subgroup_tex': 'C_2\\wr F_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.bj', 'subgroup_hash': 7476376236243798853, 'subgroup_order': 5376, 'subgroup_tex': 'C_2^7.F_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.72.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5376.by', 'subgroup_hash': 4527304666117197337, 'subgroup_order': 5376, 'subgroup_tex': 'C_2\\wr C_7.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 256, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.84.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.gc', 'subgroup_hash': 6261664987800180341, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^6.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66249419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 256, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.84.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4608.cg', 'subgroup_hash': 5767124530281132021, 'subgroup_order': 4608, 'subgroup_tex': 'C_2^8.D_9', 'supersolvable': False, 'sylow': 0}
  • id: 66249479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 256, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.108.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3584.ba', 'subgroup_hash': 6192049866890733466, 'subgroup_order': 3584, 'subgroup_tex': 'C_2^8:D_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.112.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3456.cf', 'subgroup_hash': 7586031096738035486, 'subgroup_order': 3456, 'subgroup_tex': 'C_2^6:C_9:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.126.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.dp', 'subgroup_hash': 4449775938145745073, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^6.(C_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.126.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.dn', 'subgroup_hash': 1238719046128199122, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^7:(C_2\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.126.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3072.dr', 'subgroup_hash': 501133520178810183, 'subgroup_order': 3072, 'subgroup_tex': 'C_2^2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249535
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2688.ce', 'subgroup_hash': 6839656742365240681, 'subgroup_order': 2688, 'subgroup_tex': 'C_2\\wr C_7:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2688.cg', 'subgroup_hash': 9113561275840468885, 'subgroup_order': 2688, 'subgroup_tex': 'C_2^4:F_8:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249557
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.144.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2688.ce', 'subgroup_hash': 6839656742365240681, 'subgroup_order': 2688, 'subgroup_tex': 'C_2\\wr C_7:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.144.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2688.cb', 'subgroup_hash': 1649317456952395889, 'subgroup_order': 2688, 'subgroup_tex': 'C_2^6:F_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.168.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.fd', 'subgroup_hash': 6993370341622156492, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^4:(C_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.168.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ij', 'subgroup_hash': 2622076190332827027, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^5.(C_3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249601
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.168.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.ii', 'subgroup_hash': 319855910230120078, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^4:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66249612
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 256, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.168.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.fe', 'subgroup_hash': 5119208114071293234, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^8:C_9', 'supersolvable': False, 'sylow': 0}
  • id: 66249623
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 256, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.168.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2304.fe', 'subgroup_hash': 5119208114071293234, 'subgroup_order': 2304, 'subgroup_tex': 'C_2^8:C_9', 'supersolvable': False, 'sylow': 0}
  • id: 66249635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 256, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '387072.a.189.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '189.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 189, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2048.cmg', 'subgroup_hash': 6838649538883841437, 'subgroup_order': 2048, 'subgroup_tex': 'C_2\\wr C_2^3', 'supersolvable': True, 'sylow': 2}
  • id: 66249646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.216.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '216.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1792.1083553', 'subgroup_hash': 1083553, 'subgroup_order': 1792, 'subgroup_tex': 'C_2\\wr D_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.216.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '216.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1792.1083550', 'subgroup_hash': 1083550, 'subgroup_order': 1792, 'subgroup_tex': 'C_2^7.D_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249668
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.216.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '216.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1792.1083548', 'subgroup_hash': 1083548, 'subgroup_order': 1792, 'subgroup_tex': 'C_2^5:F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.224.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '224.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1728.47862', 'subgroup_hash': 47862, 'subgroup_order': 1728, 'subgroup_tex': 'C_2^6:C_9:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.252.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408533872', 'subgroup_hash': 321355783342339216, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^6:(C_2\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.252.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408533870', 'subgroup_hash': 2264698089722116223, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.252.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408533870', 'subgroup_hash': 2264698089722116223, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^7:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.252.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408531110', 'subgroup_hash': 1088834560890831063, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^8:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 256, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.252.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1536.408641058', 'subgroup_hash': 2019995040304548354, 'subgroup_order': 1536, 'subgroup_tex': 'C_2^4:\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.256.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '256.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1512.779', 'subgroup_hash': 779, 'subgroup_order': 1512, 'subgroup_tex': '{}^2G(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66249757
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.288.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1344.11691', 'subgroup_hash': 11691, 'subgroup_order': 1344, 'subgroup_tex': 'C_2^3:F_8:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249768
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.336.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '336.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1152.157868', 'subgroup_hash': 4091780234876347078, 'subgroup_order': 1152, 'subgroup_tex': 'C_2^3:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66249779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.336.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '336.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1152.157517', 'subgroup_hash': 6875711973346298265, 'subgroup_order': 1152, 'subgroup_tex': 'A_4^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.336.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '336.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1152.157858', 'subgroup_hash': 4826905626956960856, 'subgroup_order': 1152, 'subgroup_tex': 'C_2^4:(C_3\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.336.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '336.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1152.157853', 'subgroup_hash': 5548958831827920297, 'subgroup_order': 1152, 'subgroup_tex': 'C_2^6:D_9', 'supersolvable': False, 'sylow': 0}
  • id: 66249812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.378.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '378.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 378, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dex', 'subgroup_hash': 3150417519558531247, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.378.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '378.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 378, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dde', 'subgroup_hash': 3573693375347452907, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^7:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.378.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '378.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 378, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1024.dff', 'subgroup_hash': 6084013020118845533, 'subgroup_order': 1024, 'subgroup_tex': 'C_2^2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249845
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.432.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '432.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '896.19347', 'subgroup_hash': 19347, 'subgroup_order': 896, 'subgroup_tex': 'C_2\\wr C_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.432.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '432.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '896.19309', 'subgroup_hash': 19309, 'subgroup_order': 896, 'subgroup_tex': 'C_2^4:F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.432.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '432.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '896.564', 'subgroup_hash': 564, 'subgroup_order': 896, 'subgroup_tex': 'C_2^4.F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249879
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.432.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '432.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '896.19347', 'subgroup_hash': 19347, 'subgroup_order': 896, 'subgroup_tex': 'C_2\\wr C_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.432.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '432.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '896.19344', 'subgroup_hash': 19344, 'subgroup_order': 896, 'subgroup_tex': 'C_2^6:D_7', 'supersolvable': False, 'sylow': 0}
  • id: 66249901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083967', 'subgroup_hash': 1083967, 'subgroup_order': 768, 'subgroup_tex': 'C_2^5:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66249912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1084727', 'subgroup_hash': 1084727, 'subgroup_order': 768, 'subgroup_tex': '(D_4\\times C_2^3):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1085111', 'subgroup_hash': 1085111, 'subgroup_order': 768, 'subgroup_tex': 'C_2^6:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1084399', 'subgroup_hash': 1084399, 'subgroup_order': 768, 'subgroup_tex': 'C_2^7:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083649', 'subgroup_hash': 1083649, 'subgroup_order': 768, 'subgroup_tex': 'C_2^6:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1084399', 'subgroup_hash': 1084399, 'subgroup_order': 768, 'subgroup_tex': 'C_2^7:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1090235', 'subgroup_hash': 1090235, 'subgroup_order': 768, 'subgroup_tex': 'C_2^5:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083649', 'subgroup_hash': 1083649, 'subgroup_order': 768, 'subgroup_tex': 'C_2^6:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1090224', 'subgroup_hash': 1090224, 'subgroup_order': 768, 'subgroup_tex': 'C_2^5.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1084399', 'subgroup_hash': 1084399, 'subgroup_order': 768, 'subgroup_tex': 'C_2^7:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66250012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1083649', 'subgroup_hash': 1083649, 'subgroup_order': 768, 'subgroup_tex': 'C_2^6:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66250023
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1085323', 'subgroup_hash': 1085323, 'subgroup_order': 768, 'subgroup_tex': 'C_2^8.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66250034
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 256, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.504.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '768.1085320', 'subgroup_hash': 1085320, 'subgroup_order': 768, 'subgroup_tex': 'C_2^6:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250045
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.576.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '576.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 576, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '672.1256', 'subgroup_hash': 1256, 'subgroup_order': 672, 'subgroup_tex': 'C_2\\times F_8:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66250056
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.672.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8662', 'subgroup_hash': 8662, 'subgroup_order': 576, 'subgroup_tex': 'C_2^2\\times A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66250067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.672.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8664', 'subgroup_hash': 8664, 'subgroup_order': 576, 'subgroup_tex': 'C_2^2:A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66250079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.672.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8661', 'subgroup_hash': 8661, 'subgroup_order': 576, 'subgroup_tex': 'C_2^6:C_9', 'supersolvable': False, 'sylow': 0}
  • id: 66250090
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.672.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8661', 'subgroup_hash': 8661, 'subgroup_order': 576, 'subgroup_tex': 'C_2^6:C_9', 'supersolvable': False, 'sylow': 0}
  • id: 66250101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.672.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8656', 'subgroup_hash': 8656, 'subgroup_order': 576, 'subgroup_tex': 'A_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 66250112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.672.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '672.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.8278', 'subgroup_hash': 8278, 'subgroup_order': 576, 'subgroup_tex': 'A_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.756.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '756.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.7173994', 'subgroup_hash': 597210432614005338, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.756.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '756.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407070', 'subgroup_hash': 3144020168943847438, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66250145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.756.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '756.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.756.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '756.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.756.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '756.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.22886', 'subgroup_hash': 7794799869245242452, 'subgroup_order': 512, 'subgroup_tex': 'C_2^6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.756.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '756.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6407063', 'subgroup_hash': 6400076820063978839, 'subgroup_order': 512, 'subgroup_tex': 'C_2^7:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 256, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.756.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '756.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.6249567', 'subgroup_hash': 6452065007057432321, 'subgroup_order': 512, 'subgroup_tex': 'C_2^4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '768.a1', 'outer_equivalence': True, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '504.156', 'subgroup_hash': 156, 'subgroup_order': 504, 'subgroup_tex': '\\SL(2,8)', 'supersolvable': False, 'sylow': 0}
  • id: 66250212
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.864.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '864.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '448.1394', 'subgroup_hash': 1394, 'subgroup_order': 448, 'subgroup_tex': 'C_2^3:F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66250223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5835', 'subgroup_hash': 5835, 'subgroup_order': 384, 'subgroup_tex': '(C_2^3\\times C_4):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5833', 'subgroup_hash': 5833, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5833', 'subgroup_hash': 5833, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.609', 'subgroup_hash': 609, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66250267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5790', 'subgroup_hash': 5790, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66250278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.e2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.e2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5790', 'subgroup_hash': 5790, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66250289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.18158', 'subgroup_hash': 18158, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5744', 'subgroup_hash': 5744, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66250312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5744', 'subgroup_hash': 5744, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66250323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5744', 'subgroup_hash': 5744, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66250334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20166', 'subgroup_hash': 20166, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.611', 'subgroup_hash': 611, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66250356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.611', 'subgroup_hash': 611, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66250367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5836', 'subgroup_hash': 5836, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:(C_2\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66250378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.l2', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.l2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5836', 'subgroup_hash': 5836, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:(C_2\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66250389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.l3', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.l3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5837', 'subgroup_hash': 5837, 'subgroup_order': 384, 'subgroup_tex': '(C_2^2\\times D_4):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20123', 'subgroup_hash': 20123, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:(C_2\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 66248865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5790', 'subgroup_hash': 5790, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66248876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.18159', 'subgroup_hash': 18159, 'subgroup_order': 384, 'subgroup_tex': 'C_2^6:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66248887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20100', 'subgroup_hash': 20100, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr S_3', 'supersolvable': False, 'sylow': 0}
  • id: 66248898
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20166', 'subgroup_hash': 20166, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248909
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20166', 'subgroup_hash': 20166, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248920
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20165', 'subgroup_hash': 20165, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5833', 'subgroup_hash': 5833, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.609', 'subgroup_hash': 609, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66248953
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20166', 'subgroup_hash': 20166, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5790', 'subgroup_hash': 5790, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66248976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20100', 'subgroup_hash': 20100, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr S_3', 'supersolvable': False, 'sylow': 0}
  • id: 66248987
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20166', 'subgroup_hash': 20166, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5790', 'subgroup_hash': 5790, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20100', 'subgroup_hash': 20100, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr S_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.20164', 'subgroup_hash': 20164, 'subgroup_order': 384, 'subgroup_tex': 'C_2^4:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1008.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '384.5790', 'subgroup_hash': 5790, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249042
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1152.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1152.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.210', 'subgroup_hash': 210, 'subgroup_order': 336, 'subgroup_tex': 'F_8:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249053
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1152.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1152.a2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.210', 'subgroup_hash': 210, 'subgroup_order': 336, 'subgroup_tex': 'F_8:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249064
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1152.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1152.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.210', 'subgroup_hash': 210, 'subgroup_order': 336, 'subgroup_tex': 'F_8:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249075
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1152.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1152.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1152, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.210', 'subgroup_hash': 210, 'subgroup_order': 336, 'subgroup_tex': 'F_8:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1344.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1344.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1344, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.906', 'subgroup_hash': 906, 'subgroup_order': 288, 'subgroup_tex': 'C_3\\times \\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1344.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1344.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1344, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.1029', 'subgroup_hash': 1029, 'subgroup_order': 288, 'subgroup_tex': 'C_2\\times A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66249109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1344.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1344.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1344, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.1025', 'subgroup_hash': 1025, 'subgroup_order': 288, 'subgroup_tex': 'A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66249120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1344.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1344.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1344, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.1029', 'subgroup_hash': 1029, 'subgroup_order': 288, 'subgroup_tex': 'C_2\\times A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66249131
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 256, 'counter': 124, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '387072.a.1512.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '1512.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1512.779', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 779, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1512, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': '{}^2G(2,3)', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'S', 'C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.56092', 'subgroup_hash': 56092, 'subgroup_order': 256, 'subgroup_tex': 'C_2^8', 'supersolvable': True, 'sylow': 0}
  • id: 66249142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25861', 'subgroup_hash': 25861, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.b2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': 25688, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.b5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.b3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': 25688, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.b4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.b4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': 25688, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.b3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.b5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.25688', 'subgroup_hash': 25688, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.c3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16984', 'subgroup_hash': 16984, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.c2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16984', 'subgroup_hash': 16984, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.c3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16984', 'subgroup_hash': 16984, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.c4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.c4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16984', 'subgroup_hash': 16984, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.c5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.c5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14764', 'subgroup_hash': 14764, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16883', 'subgroup_hash': 16883, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.53387', 'subgroup_hash': 53387, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.i2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.i2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.i3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.i3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.14734', 'subgroup_hash': 14734, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.55805', 'subgroup_hash': 55805, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.1089', 'subgroup_hash': 1089, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16972', 'subgroup_hash': 16972, 'subgroup_order': 256, 'subgroup_tex': 'C_2^4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.16888', 'subgroup_hash': 16888, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1512.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1512.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.7667', 'subgroup_hash': 7667, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249476
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1728.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1728.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1728, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.195', 'subgroup_hash': 195, 'subgroup_order': 224, 'subgroup_tex': 'C_2^2\\times F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.1792.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1792.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.90', 'subgroup_hash': 90, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.201', 'subgroup_hash': 201, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1497', 'subgroup_hash': 1497, 'subgroup_order': 192, 'subgroup_tex': 'C_2^5:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.994', 'subgroup_hash': 994, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1497', 'subgroup_hash': 1497, 'subgroup_order': 192, 'subgroup_tex': 'C_2^5:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.994', 'subgroup_hash': 994, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1508', 'subgroup_hash': 1508, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1021', 'subgroup_hash': 1021, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66249486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1000', 'subgroup_hash': 1000, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.191', 'subgroup_hash': 191, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249488
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249489
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249491
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.202', 'subgroup_hash': 202, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times C_4):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.201', 'subgroup_hash': 201, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1509', 'subgroup_hash': 1509, 'subgroup_order': 192, 'subgroup_tex': '(C_2^2\\times C_4):A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1508', 'subgroup_hash': 1508, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1024', 'subgroup_hash': 1024, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.p2', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.p2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.201', 'subgroup_hash': 201, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1508', 'subgroup_hash': 1508, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1021', 'subgroup_hash': 1021, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66249500
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1497', 'subgroup_hash': 1497, 'subgroup_order': 192, 'subgroup_tex': 'C_2^5:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 66249503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1538', 'subgroup_hash': 1538, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.994', 'subgroup_hash': 994, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1495', 'subgroup_hash': 1495, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249506
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1539', 'subgroup_hash': 1539, 'subgroup_order': 192, 'subgroup_tex': 'A_4\\times C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66249507
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249508
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.201', 'subgroup_hash': 201, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249510
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249511
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1539', 'subgroup_hash': 1539, 'subgroup_order': 192, 'subgroup_tex': 'A_4\\times C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 66249513
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249514
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1538', 'subgroup_hash': 1538, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1495', 'subgroup_hash': 1495, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1000', 'subgroup_hash': 1000, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.191', 'subgroup_hash': 191, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249519
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249520
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249521
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1541', 'subgroup_hash': 1541, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.201', 'subgroup_hash': 201, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\wr A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249525
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1000', 'subgroup_hash': 1000, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1538', 'subgroup_hash': 1538, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.191', 'subgroup_hash': 191, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1495', 'subgroup_hash': 1495, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249530
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2016.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2016.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2304.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2304.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2304, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.11', 'subgroup_hash': 11, 'subgroup_order': 168, 'subgroup_tex': 'D_{14}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249532
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2304.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2304.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2304, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.43', 'subgroup_hash': 43, 'subgroup_order': 168, 'subgroup_tex': 'F_8:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249533
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2304.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2304.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2304, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.43', 'subgroup_hash': 43, 'subgroup_order': 168, 'subgroup_tex': 'F_8:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 66249534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2688.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2688.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2688, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.188', 'subgroup_hash': 188, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2688.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2688.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2688, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.123', 'subgroup_hash': 123, 'subgroup_order': 144, 'subgroup_tex': 'A_4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249537
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2688.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2688.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2688, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.193', 'subgroup_hash': 193, 'subgroup_order': 144, 'subgroup_tex': 'C_2^2:C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 66249538
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.2688.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2688.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2688, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.184', 'subgroup_hash': 184, 'subgroup_order': 144, 'subgroup_tex': 'A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 66249539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1757', 'subgroup_hash': 1757, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.c4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.630', 'subgroup_hash': 630, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.c3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.c2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': 621, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.c3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.630', 'subgroup_hash': 630, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.c4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': 621, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.c7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.c5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.630', 'subgroup_hash': 630, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.c8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.c6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': 621, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.c6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.c7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': 621, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.c5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.c8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.630', 'subgroup_hash': 630, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': 513, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.d2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': 753, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.d5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.d3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': 753, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.d4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.d4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': 753, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.d3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.d5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': 753, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.d6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.d6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': 2222, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.e2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.e2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.e3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.e3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2264', 'subgroup_hash': 2264, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': 2216, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.36', 'subgroup_hash': 36, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': 761, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': 761, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.h3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.h3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': 551, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.i2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': 621, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.i2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': 621, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': 621, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': 753, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': 753, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': 753, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': 761, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.o2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.630', 'subgroup_hash': 630, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.o2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.630', 'subgroup_hash': 630, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.p2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.630', 'subgroup_hash': 630, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.p2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.630', 'subgroup_hash': 630, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2222', 'subgroup_hash': 2222, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.513', 'subgroup_hash': 513, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2216', 'subgroup_hash': 2216, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.551', 'subgroup_hash': 551, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.u2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.u2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.y2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.y2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.y3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.y3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249599
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 66249600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.764', 'subgroup_hash': 764, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.764', 'subgroup_hash': 764, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bh4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bh3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.764', 'subgroup_hash': 764, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bh3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bh4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.764', 'subgroup_hash': 764, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bh6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bh5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.560', 'subgroup_hash': 560, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bh5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bh6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.560', 'subgroup_hash': 560, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bi2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': 645, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bi2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': 645, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bi4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bi3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': 645, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bi3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bi4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.645', 'subgroup_hash': 645, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1615', 'subgroup_hash': 1615, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': 1758, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': 1758, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bk3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bk3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1759', 'subgroup_hash': 1759, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bk4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bk4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1758', 'subgroup_hash': 1758, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2326', 'subgroup_hash': 2326, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.836', 'subgroup_hash': 836, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.836', 'subgroup_hash': 836, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249632
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 66249633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.621', 'subgroup_hash': 621, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.753', 'subgroup_hash': 753, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.761', 'subgroup_hash': 761, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.cc2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.cc2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249645
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 66249647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249648
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 66249649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.cj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.cj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3024.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3024.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249652
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3456.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3456.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3456, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.41', 'subgroup_hash': 41, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249653
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3456.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3456.a2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3456, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.41', 'subgroup_hash': 41, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249654
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3456.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3456.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3456, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.41', 'subgroup_hash': 41, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249655
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3456.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3456.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3456, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.41', 'subgroup_hash': 41, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.3584.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3584.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.21', 'subgroup_hash': 21, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249658
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249659
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.196', 'subgroup_hash': 196, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249660
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.196', 'subgroup_hash': 196, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249661
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.196', 'subgroup_hash': 196, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 66249662
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249663
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.e2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.e2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249664
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249665
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249666
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249667
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.202', 'subgroup_hash': 202, 'subgroup_order': 96, 'subgroup_tex': 'D_4.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.197', 'subgroup_hash': 197, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.204', 'subgroup_hash': 204, 'subgroup_order': 96, 'subgroup_tex': 'Q_8:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.197', 'subgroup_hash': 197, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.l2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.l2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.197', 'subgroup_hash': 197, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.197', 'subgroup_hash': 197, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249675
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249676
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249677
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.n3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.n3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249678
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4032.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.167', 'subgroup_hash': 167, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.195', 'subgroup_hash': 195, 'subgroup_order': 96, 'subgroup_tex': '\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249682
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249683
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.r2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.r2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249684
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249685
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249686
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249687
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.u2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.u2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249688
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249689
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.197', 'subgroup_hash': 197, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.197', 'subgroup_hash': 197, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.197', 'subgroup_hash': 197, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.195', 'subgroup_hash': 195, 'subgroup_order': 96, 'subgroup_tex': '\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.227', 'subgroup_hash': 227, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249696
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249697
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249698
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249699
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bd3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bd3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.204', 'subgroup_hash': 204, 'subgroup_order': 96, 'subgroup_tex': 'Q_8:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.70', 'subgroup_hash': 70, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.227', 'subgroup_hash': 227, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249704
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249705
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249707
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249708
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.195', 'subgroup_hash': 195, 'subgroup_order': 96, 'subgroup_tex': '\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 66249710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4032.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4032.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.227', 'subgroup_hash': 227, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2:S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249711
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4608.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4608.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4608, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.9', 'subgroup_hash': 9, 'subgroup_order': 84, 'subgroup_tex': 'C_{14}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249713
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4608.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4608.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4608, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.7', 'subgroup_hash': 7, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times F_7', 'supersolvable': True, 'sylow': 0}
  • id: 66249714
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.4608.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4608.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4608, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': 1, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66249715
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.5376.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5376.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.47', 'subgroup_hash': 47, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249716
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.5376.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5376.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.47', 'subgroup_hash': 47, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.5376.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5376.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.42', 'subgroup_hash': 42, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.5376.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5376.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': 30, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.5376.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5376.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.15', 'subgroup_hash': 15, 'subgroup_order': 72, 'subgroup_tex': 'C_2^2:D_9', 'supersolvable': False, 'sylow': 0}
  • id: 66249720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.a2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.b2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.c2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.d2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': 216, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.e2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.e2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.g2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.g2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.232', 'subgroup_hash': 232, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': 206, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.206', 'subgroup_hash': 206, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.n3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.n3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.n4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.n4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.227', 'subgroup_hash': 227, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.q2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.q2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.q3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.q3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.q4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.q4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.q5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.q5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.s2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.s2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.s3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.s3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.t3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.t2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.t2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.t3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.t4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.t4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.u2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.u2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.w2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.w2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': 199, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': 23, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': 23, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': 23, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': 23, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': 224, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bo2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bo2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bt3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bt3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249809
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249810
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249811
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249813
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.by2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.by2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249814
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.91', 'subgroup_hash': 91, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.139', 'subgroup_hash': 139, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.139', 'subgroup_hash': 139, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.266', 'subgroup_hash': 266, 'subgroup_order': 64, 'subgroup_tex': 'C_4.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cg4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cg5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cg3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cg3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cg4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.199', 'subgroup_hash': 199, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cg5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cg6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cg6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.219', 'subgroup_hash': 219, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.242', 'subgroup_hash': 242, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ch2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ch2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ch3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ch3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ch4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ch4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.241', 'subgroup_hash': 241, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ci2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ci2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.215', 'subgroup_hash': 215, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ci3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ci3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.216', 'subgroup_hash': 216, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.224', 'subgroup_hash': 224, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ck2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ck2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': 23, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ck5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ck3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': 23, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ck4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ck4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': 23, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ck3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ck5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.23', 'subgroup_hash': 23, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cl3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cl3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.co2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.co2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249859
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249860
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cs2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cs2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249861
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cs3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cs3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249862
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.da2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.da2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249878
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249880
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.de2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.de2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249881
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.de3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.de3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249882
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249883
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.df2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.df2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249887
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249888
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249892
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249893
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.do2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.do2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dp3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dp3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dp4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dp4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dq3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dq3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dq4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dq4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dr2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dr2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dr3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dr3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.du2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.du2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.du3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.du3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249920
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249921
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.dz2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.dz2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249926
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249929
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6048.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6048.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 66249930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6912.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6912.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6912, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249931
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6912.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6912.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6912, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.11', 'subgroup_hash': 11, 'subgroup_order': 56, 'subgroup_tex': 'F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249932
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.6912.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6912.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6912, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.11', 'subgroup_hash': 11, 'subgroup_order': 56, 'subgroup_tex': 'F_8', 'supersolvable': False, 'sylow': 0}
  • id: 66249933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.7168.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7168.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.6', 'subgroup_hash': 6, 'subgroup_order': 54, 'subgroup_tex': 'C_9:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8064.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8064.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66249937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8064.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8064.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66249939
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249940
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249941
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249942
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.f3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.f3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249943
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249944
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.g2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.g2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249946
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249947
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249948
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.h3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.h3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249949
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.32', 'subgroup_hash': 32, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66249951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.32', 'subgroup_hash': 32, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66249952
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249953
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249954
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249955
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249957
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.n3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.n3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249958
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.n4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.n4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.32', 'subgroup_hash': 32, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66249960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.33', 'subgroup_hash': 33, 'subgroup_order': 48, 'subgroup_tex': '\\SL(2,3):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 66249961
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.p2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.p2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249962
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249963
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249964
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.r2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.r2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249965
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8064.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8064.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66249971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.30', 'subgroup_hash': 30, 'subgroup_order': 48, 'subgroup_tex': 'A_4:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249972
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8064.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249974
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249976
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249977
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249978
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249980
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249981
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.be2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.be2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249982
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.be3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.be3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249983
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249984
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249985
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bf3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bf3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249986
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249988
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.30', 'subgroup_hash': 30, 'subgroup_order': 48, 'subgroup_tex': 'A_4:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249991
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249992
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249993
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249994
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249995
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249996
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249997
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249998
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249999
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250000
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250002
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250003
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250004
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.48', 'subgroup_hash': 48, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.30', 'subgroup_hash': 30, 'subgroup_order': 48, 'subgroup_tex': 'A_4:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250007
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.8064.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8064.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250009
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.9216.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9216.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': 2, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66250010
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.9216.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9216.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': 2, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66250011
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.9216.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9216.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9216, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.1', 'subgroup_hash': 1, 'subgroup_order': 42, 'subgroup_tex': 'F_7', 'supersolvable': True, 'sylow': 0}
  • id: 66250013
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.10752.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10752.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.11', 'subgroup_hash': 11, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250014
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.10752.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10752.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': 12, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 66250015
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.10752.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10752.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66250016
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.10752.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '10752.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250017
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 1, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.10752.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10752.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.3', 'subgroup_hash': 3, 'subgroup_order': 36, 'subgroup_tex': 'C_2^2:C_9', 'supersolvable': False, 'sylow': 0}
  • id: 66250018
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 1, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.10752.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10752.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.3', 'subgroup_hash': 3, 'subgroup_order': 36, 'subgroup_tex': 'C_2^2:C_9', 'supersolvable': False, 'sylow': 0}
  • id: 66250019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.a2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.a4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.a3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.a3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.a4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.b3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.b4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.b2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.b3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.b4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.c2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.d2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.e2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.e2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66250039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66250041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.j3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.j3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.j4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.j4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.l2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.l2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.l3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.l3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.m2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.m2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.m3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.m3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.q2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.q2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.q4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.q3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.q3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.q4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.s2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.s2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.t2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.t2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.v2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.v2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.v3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.v3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.w2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.w2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.w3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.w3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250076
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250077
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250080
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250081
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250082
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250084
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250085
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250086
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.x9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.x9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.y2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.y2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.y3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.y3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.z2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.z2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250093
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250096
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250099
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250100
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250102
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250103
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250104
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250105
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bh3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bh3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250106
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250107
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250108
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250109
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250110
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250111
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250114
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250115
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250116
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250117
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250118
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi12', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi12', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250119
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi13', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi13', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250120
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi14', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi14', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250121
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bi15', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bi15', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250127
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bn3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bn3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250130
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250131
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bo2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bo2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250132
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250135
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.50', 'subgroup_hash': 50, 'subgroup_order': 32, 'subgroup_tex': 'C_4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66250137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bv9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bv10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bw3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bw3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.30', 'subgroup_hash': 30, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bw4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bw4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.31', 'subgroup_hash': 31, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bx3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bx3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bx4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bx4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bx5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bx5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bz2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bz2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.bz3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.bz3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ca2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ca2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ca3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ca3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ca4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ca4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.33', 'subgroup_hash': 33, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cd3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cd3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.24', 'subgroup_hash': 24, 'subgroup_order': 32, 'subgroup_tex': 'C_4^2:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.29', 'subgroup_hash': 29, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66250177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cf3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cf3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ch2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ch2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ci2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ci2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250191
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250192
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250193
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cl3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cl3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250203
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250205
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250206
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250207
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250208
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250209
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250210
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250211
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cr9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cr9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250214
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ct2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250215
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ct2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250216
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ct3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ct3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250217
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ct4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ct4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250218
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ct5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ct5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250219
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ct6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ct6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250220
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250221
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250229
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250230
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.da2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.da2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250231
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.da3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.da3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250232
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.da4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.da4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250233
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250235
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.db2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.db2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250236
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.db3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.db3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250237
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.db4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.db4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250238
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.db5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.db5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250240
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250241
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.df3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.df4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.df2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.df3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.df2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.df4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.di2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.di2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.di3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.di3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.di4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.di4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dm4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dm3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dm3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dm4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.do4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.do5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.do2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.do6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.do3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.do4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.do2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.do5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.do3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.do6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ds2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ds2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ds3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ds3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dt3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dt3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dw3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dw3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dx3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dx3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dx4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dx4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250302
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250303
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250304
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250305
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250306
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250307
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250308
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250309
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250310
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250311
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250313
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ec11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ec11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ed2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ed2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ee2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ee2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.eg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.eg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250322
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ei1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250324
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ei2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ei2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250325
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ei3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ei3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250326
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ei4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ei4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250327
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ei5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ei5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250328
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ej1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250329
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ej2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ej2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250330
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ej3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ej3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250331
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ej4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ej4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ek1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.el1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.em1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66250336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.en1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.en2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.en2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.eo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ep1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.eq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.er1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250342
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.es1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250343
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.es2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.es2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250344
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.es3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.es3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250346
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.es4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.es4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250347
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.es5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.es5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250348
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.es6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.es6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250349
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.et1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.et1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250350
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.et2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.et2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.eu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.eu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250352
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ev1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ev1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250353
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ew1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ew1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 66250354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ex1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ex1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ex2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ex2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ex3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ex3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.12096.ex4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12096.ex4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66250359
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 1, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.13824.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '13824.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13824, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66250360
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.13824.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13824.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13824, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66250361
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.13824.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13824.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 13824, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 3, 'characteristic': False, 'core_order': 1, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '387072.a.14336.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14336.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.4', 'subgroup_hash': 4, 'subgroup_order': 27, 'subgroup_tex': 'C_9:C_3', 'supersolvable': True, 'sylow': 3}
  • id: 66250363
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66250364
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66250365
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66250366
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66250368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66250369
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66250370
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250373
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250374
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.i2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.i2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250375
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': 3, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66250377
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66250379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250380
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66250381
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250382
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250383
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250384
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.q2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.q2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250385
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66250386
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 977, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250387
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 978, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.s2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.s2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250388
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 979, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250390
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 980, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250391
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 981, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.u2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.u2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250392
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 982, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 983, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 984, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250395
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 985, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250396
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 986, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 987, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 988, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16128.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 989, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66250401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 990, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250402
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 991, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250403
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 992, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250404
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 993, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250405
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 994, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bf3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bf3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250406
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 995, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 996, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': 3, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 66250408
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 997, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 998, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.12', 'subgroup_hash': 12, 'subgroup_order': 24, 'subgroup_tex': 'S_4', 'supersolvable': False, 'sylow': 0}
  • id: 66250410
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 999, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248866
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1000, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248867
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1001, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bk3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bk3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248868
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 1002, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.16128.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16128.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66248869
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 1003, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.18432.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18432.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.1', 'subgroup_hash': 1, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 66248870
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 1004, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.21504.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21504.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66248871
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 1005, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.21504.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21504.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': 3, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 66248872
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 1, 'counter': 1006, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.21504.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21504.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.1', 'subgroup_hash': 1, 'subgroup_order': 18, 'subgroup_tex': 'D_9', 'supersolvable': True, 'sylow': 0}
  • id: 66248873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1007, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1008, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.a2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1009, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1010, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.b2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1011, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1012, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1013, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.d2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1014, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1015, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.e2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.e2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1016, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248884
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1017, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248885
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1018, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248886
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1019, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248888
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1020, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248889
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1021, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248890
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1022, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248891
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1023, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248892
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1024, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248893
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1025, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248894
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1026, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248895
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1027, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248896
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1028, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g12', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g12', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248897
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1029, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g13', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g13', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248899
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1030, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g14', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g14', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248900
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1031, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g15', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g15', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248901
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1032, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g16', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g16', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248902
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1033, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.g17', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.g17', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1034, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1035, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248905
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1036, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1037, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1038, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248908
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1039, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248910
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1040, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248911
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1041, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248912
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1042, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248913
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1043, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248914
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1044, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.o2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248915
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1045, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.o2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248916
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1046, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.o3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.o3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248917
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1047, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.o4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.o4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248918
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1048, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.o5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.o5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248919
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1049, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.o6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.o6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248921
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1050, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248922
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1051, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248923
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1052, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1053, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248925
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1054, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248926
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1055, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248927
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1056, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248928
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1057, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248929
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1058, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248930
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1059, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248932
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1060, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p12', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248933
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1061, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p12', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248934
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1062, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p14', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p13', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248935
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1063, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.p13', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.p14', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248936
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1064, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248937
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1065, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.q2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.q2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248938
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1066, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.q3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.q3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248939
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1067, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.q4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.q4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248940
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1068, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248941
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1069, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.r2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.r2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248943
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1070, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.r3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.r3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248944
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1071, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.r4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.r4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248945
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1072, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.r5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.r5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248946
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1073, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.r6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.r6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248947
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1074, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.r7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.r7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248948
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1075, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248949
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1076, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.s2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.s2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248950
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1077, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248951
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1078, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.t2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.t2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248952
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1079, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.t3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.t3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248954
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1080, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.t5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.t4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248955
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1081, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.t4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.t5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248956
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1082, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.t6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.t6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248957
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1083, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.t7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.t7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1084, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.u2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1085, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.u2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248960
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1086, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1087, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.v2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.v2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66248962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1088, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.v3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.v3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66248963
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1089, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1090, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.w2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.w2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1091, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1092, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.x2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.x2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1093, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.x3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.x3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1094, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248970
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1095, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248971
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1096, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 66248972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1097, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ba2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ba2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1098, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1099, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66248977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66248978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.be2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.be2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.be3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.be3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248984
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248988
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bj3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bj3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248992
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bj4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bj4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66248993
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248994
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248995
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bk3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bk3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248996
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bk4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bk4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66248997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66248999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249000
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bm3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bm3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249003
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249006
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249007
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.br2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.br2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249008
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.br3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.br3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249010
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.br4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.br4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249011
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.br5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.br5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249014
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249015
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249016
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bu3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bu3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249017
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bu4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bu4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249018
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bu5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bu5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249019
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bu6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bu6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249021
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249022
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249023
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bv3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bv3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249024
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bv4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bv4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249025
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249026
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249029
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249030
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.bz2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.bz2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249032
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249033
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ca2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ca2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249034
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ce2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ce2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249044
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ci2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ci2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249047
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249048
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249049
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249050
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249051
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249052
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cm3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cm3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249054
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cm5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cm4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249055
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cm6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cm5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249056
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cm4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cm6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249057
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cm7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cm7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.co2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.co2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249066
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249067
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249068
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249069
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249070
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249071
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249072
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249074
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249076
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249077
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr12', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr12', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249078
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr13', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr13', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249079
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr14', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr14', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249080
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr15', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr15', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249081
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr16', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr16', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249082
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr17', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr17', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr18', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr18', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249084
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr19', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr19', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249085
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr20', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr20', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249088
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cr21', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cr21', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cs2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cs2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ct2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ct2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cu3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cu3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249100
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249101
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249102
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249103
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249104
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249105
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249106
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249107
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249108
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249110
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249111
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249112
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx12', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx12', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx13', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx13', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249114
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx14', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx14', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249115
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx15', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx15', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249116
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx16', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx16', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249117
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cx17', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cx17', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249118
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249119
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249121
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249122
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249123
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249125
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249126
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249127
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cy10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cy10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 1238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 1239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.db2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.db2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.db3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.db3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.de2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.de2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249144
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249146
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249147
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249148
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dk3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dk3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249150
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dk4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dk4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249151
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dk5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dk5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249155
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249157
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249158
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249159
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249160
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249161
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249162
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249163
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249165
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249166
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249167
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn12', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn12', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249168
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn13', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn13', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249169
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dn14', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dn14', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249170
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249171
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.do2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.do2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.do3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.do3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249173
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.do4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.do4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249174
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.do5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.do5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249176
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.do6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.do6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249177
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249178
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249179
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dp3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dp3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249180
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dp4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dp4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249181
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dp5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dp5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249182
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dp6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dp6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249183
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249184
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249185
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dq3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dq3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249187
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dq4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dq4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249190
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249191
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249192
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dt3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dt3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249193
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dt4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dt4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249194
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249195
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.du2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.du2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249200
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249202
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249203
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 1306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 1307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ec2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ec2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ec3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ec3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ee2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ee2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ef4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ef2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ef2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ef3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.ef3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.ef4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eg4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eg3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eg3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eg4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249223
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249224
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249225
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eh5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eh3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249226
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eh6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eh4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249227
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eh3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eh5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249228
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.24192.eh4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24192.eh6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 66249229
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 1, 'counter': 1328, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.27648.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27648.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66249230
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 1, 'counter': 1329, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.27648.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27648.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 66249232
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 1, 'counter': 1330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.27648.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27648.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27648, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 66249233
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249234
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249235
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249236
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.c2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249237
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 1335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249238
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 1336, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.32256.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66249239
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249240
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249241
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249243
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 1340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249244
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 1341, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.32256.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66249245
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249246
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32256.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249247
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 1, 'counter': 1344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32256.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249248
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249249
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 1346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249250
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 1347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32256.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249251
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 1348, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.32256.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 66249252
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 1349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32256.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249254
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 1350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249255
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 1351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32256.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249256
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 1352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32256.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249257
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32256.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249258
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 1, 'counter': 1354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32256.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249259
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 1355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.32256.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32256.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 66249260
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 1356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.43008.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '43008.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 43008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249261
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 1357, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.43008.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '43008.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 43008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 66249262
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 1, 'counter': 1358, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.43008.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '43008.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 43008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.1', 'subgroup_hash': 1, 'subgroup_order': 9, 'subgroup_tex': 'C_9', 'supersolvable': True, 'sylow': 0}
  • id: 66249263
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249265
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.a2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249266
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.a3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.a3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249267
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249268
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249269
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249270
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249271
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249272
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249273
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.f3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.f3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249274
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.f4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.f4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249276
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.f6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.f5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249277
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.f5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.f6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249278
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249279
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.g2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.g2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249280
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249281
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249282
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.i3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.i2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249283
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.i2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.i3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249284
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.i5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.i4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249285
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.i4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.i5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 1, 'counter': 1380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.j3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.j3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249290
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249291
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249292
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249293
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249294
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249295
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.n3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.n3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249296
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249299
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249301
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249302
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.s2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.s2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249304
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249305
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249306
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249307
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249310
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249311
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249312
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249313
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249314
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249315
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249316
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249317
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249318
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249319
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249321
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ba9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ba9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249323
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249324
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249325
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249326
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249327
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249328
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249329
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249330
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249332
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249333
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249334
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249335
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc12', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc12', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249336
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc13', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc13', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249337
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc14', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc14', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249338
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bc15', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bc15', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249339
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249340
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bd3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249341
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bd3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249343
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bd4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bd4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249345
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249346
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249347
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bf4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bf3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249348
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bf3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bf4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249349
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bf5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bf5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249350
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bf6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bf6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249351
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249352
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249356
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249357
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249358
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249359
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249360
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249361
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bl3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bl3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249362
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bl4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bl4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249363
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249365
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249366
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bm3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bm3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249367
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bm4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bm4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bm5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bm5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249369
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249370
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249372
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249373
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249374
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.br2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.br2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bs2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bs2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249380
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249381
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249382
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249383
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249384
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249385
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249387
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249388
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249389
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249390
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249391
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249392
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bw9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bw9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249395
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249396
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249398
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249399
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249400
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249401
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249402
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249403
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by8', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by8', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249404
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by10', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by9', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249405
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by9', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by10', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249406
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.by11', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.by11', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249407
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249410
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 66249412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.cd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.cd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249414
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249415
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249416
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249417
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.cg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.cg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249418
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.cg3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.cg3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249421
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 1500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.48384.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48384.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 66249422
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 1, 'counter': 1501, 'cyclic': True, 'direct': None, 'hall': 7, 'label': '387072.a.55296.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55296.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 55296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 66249423
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1502, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.64512.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64512.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249424
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1503, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.64512.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64512.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249425
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 1, 'counter': 1504, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.64512.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64512.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249426
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 144, 'characteristic': False, 'core_order': 1, 'counter': 1505, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.64512.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64512.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249427
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 36, 'characteristic': False, 'core_order': 1, 'counter': 1506, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.64512.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64512.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249428
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 1507, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.64512.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64512.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249429
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 1508, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.64512.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64512.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 66249430
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 1, 'counter': 1509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.64512.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64512.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 66249432
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 1, 'counter': 1510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249433
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249434
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': False, 'core_order': 1, 'counter': 1512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249435
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.c2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249436
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249437
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1515, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.96768.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249438
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 5376, 'characteristic': False, 'core_order': 1, 'counter': 1516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249439
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249440
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.g2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.g2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249441
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249443
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249444
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.i2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.i2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249445
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249446
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1523, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.96768.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249447
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249448
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249449
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 1, 'counter': 1526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249450
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249451
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.n3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.n3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249452
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249454
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 1530, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.96768.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249455
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249456
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.q2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.q2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249457
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 2304, 'characteristic': False, 'core_order': 1, 'counter': 1533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249458
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.r2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.r2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249459
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249460
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 1536, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.96768.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 66249461
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 1, 'counter': 1537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249462
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.u2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.u2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249463
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 1539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.u3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.u3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249465
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 1540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '387072.a.96768.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96768.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 66249466
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 1, 'counter': 1541, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.129024.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '129024.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 129024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 66249467
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 1, 'counter': 1542, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.129024.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '129024.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 129024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 66249468
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 43008, 'characteristic': False, 'core_order': 1, 'counter': 1543, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.193536.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '193536.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 193536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249469
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 10752, 'characteristic': False, 'core_order': 1, 'counter': 1544, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.193536.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '193536.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 193536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249470
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 4608, 'characteristic': False, 'core_order': 1, 'counter': 1545, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.193536.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '193536.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 193536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249471
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 3072, 'characteristic': False, 'core_order': 1, 'counter': 1546, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.193536.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '193536.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 193536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249472
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 1547, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '387072.a.193536.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '193536.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 193536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 66249473
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '387072.a', 'ambient_counter': 1, 'ambient_order': 387072, 'ambient_tex': 'C_2^8:{}^2G(2,3)', 'central': True, 'central_factor': False, 'centralizer_order': 387072, 'characteristic': True, 'core_order': 1, 'counter': 1548, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '387072.a.387072.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '387072.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '387072.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 854758701050314474, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 387072, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^8:{}^2G(2,3)', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U0', 'C3'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 66248869
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '18432.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2304.b1', '2304.c1', '9216.a1', '9216.b1', '9216.c1'], 'contains': ['55296.a1', '129024.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [3932, -1, 107, -1], 'generators': [1864991769604248, 4522159261653718], 'label': '387072.a.18432.a1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '18432.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18432.a1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 66248870
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '21504.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10752.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['5376.a1', '5376.b1', '10752.b1', '10752.c1', '10752.d1'], 'contains': ['43008.a1', '64512.c1', '64512.d1', '64512.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 5376, 'diagramx': [9963, -1, 1646, -1], 'generators': [6036942297260023, 1313941668606, 8375731269120], 'label': '387072.a.21504.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5376.d1', 'old_label': '21504.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21504.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66248863
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': ['387072.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['3.a1', '9.a1', '28.a1', '36.a1', '256.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4603, 886, 2157, 2873], 'generators': [6035460007466166, 3026857224009168, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '387072.a'}
  • id: 66248864
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '63.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1'], 'contains': ['126.a1', '126.b1', '126.c1', '189.a1', '252.d1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3300, -1, 2172, -1], 'generators': [1864985502671568, 1307674368001, 7, 363000, 6385615834383665, 4124652952095055, 5160, 1864918092470382, 357001369769646, 121, 40284847, 356995142748847], 'label': '387072.a.63.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '63.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '63.a1', 'subgroup_fusion': None, 'weyl_group': '3072.lh'}
  • id: 66248865
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.f1'], 'contains': ['2016.s1', '2016.bh1', '2016.bi1', '3024.bn1', '4032.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4939, -1, 2381, -1], 'generators': [6384314347487710, 1866299444335135, 121, 357001369406646, 356995142385840, 367920, 1307674731006, 40284840], 'label': '387072.a.1008.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '1008.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.n1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66248866
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bi1', '8064.h1', '8064.n2', '8064.n3', '8064.be2', '8064.be3', '8064.bf2', '8064.bk2'], 'contains': ['32256.v1', '48384.cg2', '64512.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9370, -1, 1692, -1], 'generators': [355687468375681, 40279806, 355693695033720, 1509298074570528], 'label': '387072.a.16128.bk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '16128.bk2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bk2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66248867
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bk3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bi1', '8064.h3', '8064.n3', '8064.n4', '8064.be1', '8064.be3', '8064.bf3', '8064.bk1'], 'contains': ['32256.v1', '48384.cg3', '64512.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9384, -1, 1646, -1], 'generators': [40279801, 355687468012926, 1509298114487329, 355693655479800], 'label': '387072.a.16128.bk3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '16128.bk3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bk3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66248868
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2304.c1', '8064.q1'], 'contains': ['32256.x1', '48384.ch1', '64512.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [4039, -1, 56, -1], 'generators': [1864991769604248, 1864924319491062, 6384308120466785, 4124652992374735], 'label': '387072.a.16128.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.q1', 'old_label': '16128.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bl1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66248871
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '21504.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1344.c1', '5376.c1', '7168.a1', '10752.b1'], 'contains': ['43008.a1', '64512.g1', '64512.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 10752, 'diagramx': [9694, -1, 1786, -1], 'generators': [6389887356916265, 8375731632120, 6392629765635702], 'label': '387072.a.21504.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10752.b1', 'old_label': '21504.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21504.b1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66248872
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '21504.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.d1', '768.a1', '5376.e1', '7168.a1'], 'contains': ['43008.b1', '64512.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 7168, 'diagramx': [9945, -1, 9859, -1], 'generators': [3022645585103688, 1121447774776912, 1869021652780816], 'label': '387072.a.21504.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7168.a1', 'old_label': '21504.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21504.c1', 'subgroup_fusion': None, 'weyl_group': '54.6'}
  • id: 66248873
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.a1', '12096.a4', '12096.k1', '12096.cv1'], 'contains': ['48384.a1', '48384.b1', '48384.c1', '48384.j1', '48384.j2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1300, -1, 3484, -1], 'generators': [1307674735921, 753260761976383, 357001329852847, 356995102464000], 'label': '387072.a.24192.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '24192.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248874
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.a2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a2', '12096.a1', '12096.a3', '12096.k1', '12096.k2', '12096.cv2'], 'contains': ['48384.a2', '48384.b1', '48384.c1', '48384.j2', '48384.j3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1212, -1, 4427, -1], 'generators': [121, 357001329852726, 753260761613376, 355687428101166], 'label': '387072.a.24192.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '24192.a2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.a2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248875
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.b1', '12096.a4', '12096.n2', '12096.cv1'], 'contains': ['48384.a1', '48384.d1', '48384.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1538, -1, 4740, -1], 'generators': [1307674735921, 754568475898297, 357001329852847, 356995102464000], 'label': '387072.a.24192.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '24192.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248876
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.d1'], 'contains': ['2016.b1', '2016.c1', '2016.d1', '2016.e1', '2016.t1', '2016.v1', '2016.x1', '3024.bq1', '4032.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4512, -1, 2021, -1], 'generators': [1307714289846, 6029928406287785, 367920, 1864985502671568, 40284726, 356995142385847, 357001329847801, 363007], 'label': '387072.a.1008.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '1008.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.o1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66248877
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.b2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a2', '12096.a1', '12096.a3', '12096.n2', '12096.n1', '12096.cv2'], 'contains': ['48384.a2', '48384.d1', '48384.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1522, -1, 4902, -1], 'generators': [121, 357001329852726, 754574702919103, 355687428101166], 'label': '387072.a.24192.b2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '24192.b2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.b2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248878
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a2', '12096.a1', '12096.a4', '12096.a3', '12096.r1', '12096.cw1'], 'contains': ['48384.b1', '48384.d1', '48384.f2', '48384.bb1', '48384.be1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1410, -1, 4799, -1], 'generators': [121, 357001329852726, 1110262131382903, 356995142743687], 'label': '387072.a.24192.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '24192.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248879
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.c1', '12096.a3', '12096.s1', '12096.cv1'], 'contains': ['48384.b1', '48384.e1', '48384.f1', '48384.br1', '48384.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [5188, -1, 5606, -1], 'generators': [753266989002102, 40284721, 357001369401726, 356995102464000], 'label': '387072.a.24192.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '24192.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248880
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.d2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a2', '12096.a1', '12096.a4', '12096.s2', '12096.s1', '12096.cv2'], 'contains': ['48384.b1', '48384.e1', '48384.f3', '48384.br2', '48384.bx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [5134, -1, 5894, -1], 'generators': [121, 357001329852726, 355687468380841, 754574702919103], 'label': '387072.a.24192.d2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '24192.d2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.d2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248881
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.d1', '12096.a3', '12096.t1', '12096.cv1'], 'contains': ['48384.c1', '48384.d1', '48384.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1508, -1, 4449, -1], 'generators': [40284721, 754568475898297, 357001369401726, 356995102464000], 'label': '387072.a.24192.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '24192.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248882
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.e2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a2', '12096.a1', '12096.a4', '12096.t2', '12096.t1', '12096.cv2'], 'contains': ['48384.c1', '48384.d1', '48384.f3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1309, -1, 4773, -1], 'generators': [121, 357001329852726, 355687468380841, 1110262131020136], 'label': '387072.a.24192.e2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '24192.e2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.e2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248883
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a2', '12096.a1', '12096.a4', '12096.a3', '12096.u1', '12096.cx1'], 'contains': ['48384.c1', '48384.e1', '48384.f2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2056, -1, 5423, -1], 'generators': [121, 357001329852726, 356995142743687, 754574702919103], 'label': '387072.a.24192.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '24192.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248884
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a2', '12096.x2', '12096.x1', '12096.x5', '12096.bi7', '12096.bi8', '12096.cr3', '12096.cr9', '12096.ct3', '12096.da2'], 'contains': ['48384.a2', '48384.f2', '48384.f3', '48384.i1', '48384.i3', '48384.ba2', '48384.bc4', '48384.bw2', '48384.by6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5701, -1, 8123, -1], 'generators': [357001329852721, 40279806, 1307674368001, 356995102469160], 'label': '387072.a.24192.g2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66248885
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a1', '12096.x2', '12096.x1', '12096.x6', '12096.bi5', '12096.bi8', '12096.cr4', '12096.cr5', '12096.ct6', '12096.da2'], 'contains': ['48384.a2', '48384.f2', '48384.f3', '48384.i1', '48384.i2', '48384.ba1', '48384.bc3', '48384.bw1', '48384.by5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6167, -1, 8166, -1], 'generators': [40279806, 356995142380920, 357001369406641, 1307674368001], 'label': '387072.a.24192.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.g2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66248886
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a4', '12096.x2', '12096.x8', '12096.bi6', '12096.bi7', '12096.cr6', '12096.cr9', '12096.ct6', '12096.da1'], 'contains': ['48384.a1', '48384.f2', '48384.f3', '48384.i1', '48384.i5', '48384.ba4', '48384.bc6', '48384.bw4', '48384.by6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6611, -1, 8439, -1], 'generators': [357001329852721, 40279806, 356995142743680, 1307674368001], 'label': '387072.a.24192.g4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.g3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66248887
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.e1'], 'contains': ['2016.u1', '2016.w1', '2016.y1', '3024.bp1', '4032.q1', '4032.ba1', '4032.bm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9546, -1, 8499, -1], 'generators': [1867707711843263, 3377025339194448, 367927, 1307674731001, 357001369406646, 356995142748840, 362881, 40284847], 'label': '387072.a.1008.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.p1', 'old_label': '1008.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.p1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 66248888
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.a3', '12096.x1', '12096.x4', '12096.bi5', '12096.bi6', '12096.cr1', '12096.cr7', '12096.ct3', '12096.da1'], 'contains': ['48384.a2', '48384.f1', '48384.f2', '48384.i1', '48384.i4', '48384.ba3', '48384.bc5', '48384.bw3', '48384.by7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6111, -1, 7842, -1], 'generators': [40284726, 356995142743680, 357001329489961, 1307674368001], 'label': '387072.a.24192.g3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.g4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66248889
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x4', '12096.x8', '12096.bi5', '12096.bi8', '12096.bi9', '12096.bi14', '12096.cr4', '12096.cr6', '12096.cr9', '12096.ct4', '12096.ct5', '12096.da3'], 'contains': ['48384.a2', '48384.f4', '48384.f6', '48384.i1', '48384.i5', '48384.ba4', '48384.ba6', '48384.bc3', '48384.bc7', '48384.bw6', '48384.bw7', '48384.by5', '48384.by8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7361, -1, 8594, -1], 'generators': [40284726, 357001369769641, 1307674368001, 356995102469160], 'label': '387072.a.24192.g7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248890
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x6', '12096.x8', '12096.bi6', '12096.bi7', '12096.bi14', '12096.cr3', '12096.cr7', '12096.cr8', '12096.ct1', '12096.ct4', '12096.da1'], 'contains': ['48384.a1', '48384.f4', '48384.f6', '48384.i1', '48384.i3', '48384.i2', '48384.ba7', '48384.ba8', '48384.bc10', '48384.bc11', '48384.bw3', '48384.bw8', '48384.by6', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7051, -1, 8538, -1], 'generators': [356995102831920, 40284726, 357001369769641, 1307674368001], 'label': '387072.a.24192.g8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248891
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x4', '12096.x5', '12096.x6', '12096.bi6', '12096.bi7', '12096.bi9', '12096.cr4', '12096.cr5', '12096.cr8', '12096.ct3', '12096.ct5', '12096.da4'], 'contains': ['48384.a2', '48384.f4', '48384.f5', '48384.i1', '48384.i2', '48384.i4', '48384.ba1', '48384.ba3', '48384.bc7', '48384.bc8', '48384.bw2', '48384.bw5', '48384.by4', '48384.by8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7936, -1, 8636, -1], 'generators': [40284726, 356995142743680, 357001369769641, 1307674368001], 'label': '387072.a.24192.g5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248892
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x5', '12096.x8', '12096.bi5', '12096.bi8', '12096.bi9', '12096.bi14', '12096.cr1', '12096.cr4', '12096.cr8', '12096.cr9', '12096.ct1', '12096.ct3', '12096.da4'], 'contains': ['48384.a2', '48384.f4', '48384.f5', '48384.i1', '48384.i3', '48384.i4', '48384.ba3', '48384.ba5', '48384.bc4', '48384.bc9', '48384.bw2', '48384.bw3', '48384.by5', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7044, -1, 8510, -1], 'generators': [356995142380920, 40284726, 357001369769641, 1307674368001], 'label': '387072.a.24192.g6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248893
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x3', '12096.x4', '12096.x7', '12096.bi5', '12096.bi7', '12096.bi10', '12096.bi12', '12096.cr1', '12096.cr7', '12096.ct2', '12096.ct4', '12096.da1'], 'contains': ['48384.a3', '48384.f1', '48384.f6', '48384.i3', '48384.i2', '48384.i5', '48384.i4', '48384.ba6', '48384.ba7', '48384.bc10', '48384.bc9', '48384.bw4', '48384.bw8', '48384.by7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7236, -1, 8524, -1], 'generators': [40284726, 356995142748840, 357001329489961, 1307674368001], 'label': '387072.a.24192.g9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248894
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x3', '12096.x5', '12096.x7', '12096.x9', '12096.bi5', '12096.bi6', '12096.bi11', '12096.cr2', '12096.cr4', '12096.cr5', '12096.cr6', '12096.ct5', '12096.ct6', '12096.da4'], 'contains': ['48384.a3', '48384.f3', '48384.f5', '48384.i2', '48384.i5', '48384.i4', '48384.ba1', '48384.ba4', '48384.bc8', '48384.bc12', '48384.bw1', '48384.bw6', '48384.by8', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7633, -1, 8693, -1], 'generators': [357001329852721, 40279806, 356995142380920, 1307674368001], 'label': '387072.a.24192.g10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g10', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248895
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x3', '12096.x6', '12096.x9', '12096.bi7', '12096.bi8', '12096.bi10', '12096.bi13', '12096.cr5', '12096.cr8', '12096.cr9', '12096.ct2', '12096.ct6', '12096.da4'], 'contains': ['48384.a3', '48384.f3', '48384.f5', '48384.i3', '48384.i2', '48384.i5', '48384.ba5', '48384.ba9', '48384.bc3', '48384.bc11', '48384.bw1', '48384.bw4', '48384.by4', '48384.by6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7327, -1, 8721, -1], 'generators': [357001329852721, 40279806, 356995102827000, 1307674368001], 'label': '387072.a.24192.g11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248896
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g12', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x3', '12096.x7', '12096.x8', '12096.x9', '12096.bi6', '12096.bi8', '12096.bi12', '12096.bi13', '12096.cr2', '12096.cr3', '12096.cr5', '12096.cr8', '12096.ct4', '12096.ct5', '12096.da3'], 'contains': ['48384.a3', '48384.f3', '48384.f6', '48384.i3', '48384.i2', '48384.i5', '48384.i4', '48384.ba8', '48384.ba9', '48384.bc4', '48384.bc12', '48384.bw7', '48384.bw5', '48384.by8', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7139, -1, 8749, -1], 'generators': [357001329852721, 40279806, 356995142748840, 1307674368001], 'label': '387072.a.24192.g12', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g12', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g12', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248897
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g13', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x5', '12096.x6', '12096.x8', '12096.bi10', '12096.bi11', '12096.bi12', '12096.bi13', '12096.cr2', '12096.cr5', '12096.cr7', '12096.cr8', '12096.ct3', '12096.ct6', '12096.da3'], 'contains': ['48384.a3', '48384.f2', '48384.f4', '48384.i3', '48384.i2', '48384.i5', '48384.i4', '48384.ba3', '48384.ba9', '48384.bc10', '48384.bc8', '48384.bw6', '48384.bw5', '48384.by5', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7546, -1, 8679, -1], 'generators': [40284726, 356995142743680, 357001329847801, 1307674368001], 'label': '387072.a.24192.g13', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g13', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g13', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248898
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.a1', '504.f1', '504.h1', '504.l1'], 'contains': ['2016.k1', '2016.s1', '2016.bj1', '3024.bw1', '4032.r1', '4032.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5116, -1, 1942, -1], 'generators': [1866299444335135, 121, 367920, 356995142385847, 7, 40284847, 357001369406646, 1307674731001], 'label': '387072.a.1008.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '1008.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.q1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66248962
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.v3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.v2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.br1', '12096.bs1', '12096.bt1', '12096.by1', '12096.cb2'], 'contains': ['48384.j1', '48384.j3', '48384.l1', '48384.o1', '48384.p1', '48384.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [75, -1, 1516, -1], 'generators': [4540245191233336, 356995102826886, 754568436349416, 357001329852847], 'label': '387072.a.24192.v3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '24192.v3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.v3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248899
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g14', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x5', '12096.x9', '12096.bi10', '12096.bi11', '12096.bi13', '12096.bi14', '12096.cr3', '12096.cr6', '12096.cr7', '12096.cr9', '12096.ct3', '12096.ct4', '12096.da4'], 'contains': ['48384.a3', '48384.f4', '48384.f5', '48384.i3', '48384.i5', '48384.i4', '48384.ba2', '48384.ba6', '48384.bc5', '48384.bc11', '48384.bw3', '48384.bw6', '48384.by6', '48384.by8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7226, -1, 8608, -1], 'generators': [40284726, 356995142385840, 357001329847801, 1307674368001], 'label': '387072.a.24192.g14', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g14', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g14', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248900
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g15', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x6', '12096.x7', '12096.x9', '12096.bi9', '12096.bi11', '12096.bi12', '12096.cr1', '12096.cr2', '12096.cr6', '12096.ct1', '12096.ct5', '12096.da2'], 'contains': ['48384.a3', '48384.f4', '48384.f6', '48384.i2', '48384.i5', '48384.i4', '48384.ba4', '48384.ba7', '48384.bc5', '48384.bc12', '48384.bw2', '48384.bw9', '48384.by3', '48384.by5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7371, -1, 8651, -1], 'generators': [40284726, 357001369769641, 356995102827000, 1307674368001], 'label': '387072.a.24192.g15', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g15', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g15', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248901
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g16', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.x7', '12096.x8', '12096.x9', '12096.bi9', '12096.bi10', '12096.bi12', '12096.bi13', '12096.cr4', '12096.cr5', '12096.cr6', '12096.cr7', '12096.ct4', '12096.ct6', '12096.da4'], 'contains': ['48384.a3', '48384.f4', '48384.f5', '48384.i3', '48384.i2', '48384.i5', '48384.i4', '48384.ba1', '48384.ba6', '48384.bc6', '48384.bc9', '48384.bw4', '48384.bw5', '48384.by5', '48384.by8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7533, -1, 8735, -1], 'generators': [40284726, 356995142385840, 357001369769641, 1307674368001], 'label': '387072.a.24192.g16', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g16', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g16', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248902
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.g17', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x6', '12096.x7', '12096.x8', '12096.bi10', '12096.bi11', '12096.bi13', '12096.bi14', '12096.cr5', '12096.cr6', '12096.cr8', '12096.cr9', '12096.ct2', '12096.ct5', '12096.da2'], 'contains': ['48384.a3', '48384.f4', '48384.f6', '48384.i3', '48384.i2', '48384.i5', '48384.ba7', '48384.ba9', '48384.bc6', '48384.bc7', '48384.bw1', '48384.bw9', '48384.by6', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7566, -1, 8665, -1], 'generators': [356995102831920, 40284726, 357001329847801, 1307674368001], 'label': '387072.a.24192.g17', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.g17', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.g17', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248903
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.h2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b3', '12096.b4', '12096.c2', '12096.d1', '12096.e1', '12096.e2', '12096.f2', '12096.g1', '12096.j2', '12096.j3', '12096.l1', '12096.y1', '12096.y2', '12096.z2', '12096.bj1'], 'contains': ['48384.g1', '48384.k1', '48384.m1', '48384.bh2', '48384.bs2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1063, -1, 3693, -1], 'generators': [355687428096001, 1307674368120, 1108948190072382, 355693655484727], 'label': '387072.a.24192.h2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.h2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248904
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b1', '12096.b2', '12096.c1', '12096.d1', '12096.e1', '12096.e2', '12096.f1', '12096.g1', '12096.j1', '12096.j4', '12096.l2', '12096.y1', '12096.y3', '12096.z1', '12096.bj1'], 'contains': ['48384.g1', '48384.k1', '48384.m1', '48384.bh1', '48384.bs1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1117, -1, 3669, -1], 'generators': [356995102831927, 357001329847806, 753260761618536, 5041], 'label': '387072.a.24192.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.h2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.h1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248905
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.d2', '12096.f1', '12096.f2', '12096.g1', '12096.k1', '12096.k2', '12096.l3', '12096.r1', '12096.s2', '12096.s1', '12096.z1', '12096.z2', '12096.ba1', '12096.bj1', '12096.cw1'], 'contains': ['48384.b1', '48384.g1', '48384.k1', '48384.w1', '48384.bi1', '48384.bt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1375, -1, 4756, -1], 'generators': [121, 357001329852726, 753266988639337, 356995102464000], 'label': '387072.a.24192.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '24192.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.i1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248906
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.j2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b3', '12096.b4', '12096.c2', '12096.d2', '12096.f2', '12096.h1', '12096.h2', '12096.i1', '12096.j1', '12096.j4', '12096.m2', '12096.y1', '12096.y3', '12096.bb2', '12096.bk1'], 'contains': ['48384.g1', '48384.l1', '48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [924, -1, 3462, -1], 'generators': [356995102831927, 357001329847806, 5041, 1108948189714423], 'label': '387072.a.24192.j2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.j2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248907
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b1', '12096.b2', '12096.c1', '12096.d2', '12096.f1', '12096.h1', '12096.h2', '12096.i1', '12096.j2', '12096.j3', '12096.m1', '12096.y1', '12096.y2', '12096.bb1', '12096.bk1'], 'contains': ['48384.g1', '48384.l1', '48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [894, -1, 3427, -1], 'generators': [355687428096001, 1307674368120, 1108954417093176, 355693655484727], 'label': '387072.a.24192.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.j2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.j1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248908
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.c1', '12096.c2', '12096.d1', '12096.i1', '12096.k1', '12096.k2', '12096.m3', '12096.t2', '12096.t1', '12096.u1', '12096.bb1', '12096.bb2', '12096.bc1', '12096.bk1', '12096.cx1'], 'contains': ['48384.c1', '48384.g1', '48384.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1029, -1, 4138, -1], 'generators': [121, 357001329852726, 1108948189714423, 356995102464000], 'label': '387072.a.24192.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '24192.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.k1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248909
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.a1', '504.l1'], 'contains': ['2016.z1', '2016.bj1', '2016.bn1', '3024.bw1', '4032.s1', '4032.bc1', '4032.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 168, 'diagramx': [5252, -1, 1465, -1], 'generators': [357001369769646, 121, 367920, 1864985502671568, 356995142385847, 39921847, 363007, 1307674731001], 'label': '387072.a.1008.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '168.c1', 'old_label': '1008.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.r1', 'subgroup_fusion': None, 'weyl_group': '144.184'}
  • id: 66248910
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.n2', '12096.n1', '12096.o1', '12096.r1', '12096.t2', '12096.t1', '12096.v2', '12096.v1', '12096.v3', '12096.bd1', '12096.bd2', '12096.be1', '12096.bl1', '12096.cw1', '12096.cy1'], 'contains': ['48384.d1', '48384.g1', '48384.x1', '48384.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1656, -1, 5121, -1], 'generators': [121, 1110255903994177, 357001329852726, 356995102464000], 'label': '387072.a.24192.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '24192.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.l1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248911
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.n2', '12096.n1', '12096.p1', '12096.s2', '12096.s1', '12096.u1', '12096.w2', '12096.w1', '12096.w3', '12096.bd1', '12096.bd2', '12096.bf1', '12096.bm1', '12096.cx1', '12096.cz1'], 'contains': ['48384.e1', '48384.g1', '48384.y1', '48384.bu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5784, -1, 6819, -1], 'generators': [121, 357001329852726, 754574702919103, 356995102464000], 'label': '387072.a.24192.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '24192.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.m1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248912
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b3', '12096.b1', '12096.e1', '12096.h1', '12096.m3', '12096.q2', '12096.q1', '12096.v2', '12096.v1', '12096.w3', '12096.z1', '12096.z2', '12096.bg1', '12096.bk1', '12096.cz1'], 'contains': ['48384.g1', '48384.m1', '48384.z1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1973, -1, 5400, -1], 'generators': [121, 357001329852726, 753260761618543, 356995102464000], 'label': '387072.a.24192.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '24192.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.n1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248913
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b4', '12096.b2', '12096.e2', '12096.h2', '12096.l3', '12096.q2', '12096.q1', '12096.v3', '12096.w2', '12096.w1', '12096.bb1', '12096.bb2', '12096.bg1', '12096.bj1', '12096.cy1'], 'contains': ['48384.g1', '48384.m1', '48384.bk1', '48384.bv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1984, -1, 5373, -1], 'generators': [121, 357001329852726, 1108954416735217, 356995102464000], 'label': '387072.a.24192.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '24192.n2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.n2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248914
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.o2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j2', '12096.k2', '12096.l2', '12096.m2', '12096.n1', '12096.q2', '12096.q4', '12096.x1', '12096.bh1', '12096.bh3', '12096.bn1', '12096.bn2', '12096.bp1', '12096.cr4', '12096.da2'], 'contains': ['48384.a2', '48384.g1', '48384.n1', '48384.n3', '48384.ba1', '48384.bl2', '48384.bw9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2561, -1, 6074, -1], 'generators': [40284721, 356995142743687, 1307674368001, 357001329484806], 'label': '387072.a.24192.o2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '24192.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.o2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66248915
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j1', '12096.k1', '12096.l1', '12096.m1', '12096.n2', '12096.q1', '12096.q3', '12096.x2', '12096.bh1', '12096.bh3', '12096.bn2', '12096.bp1', '12096.cr8', '12096.da1'], 'contains': ['48384.a1', '48384.a2', '48384.g1', '48384.n1', '48384.n3', '48384.ba9', '48384.bl1', '48384.bw8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2325, -1, 6033, -1], 'generators': [357001369401721, 5046, 1307674368001, 356995102469160], 'label': '387072.a.24192.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '24192.o2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66248916
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.o3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j3', '12096.j4', '12096.l3', '12096.m3', '12096.o1', '12096.p1', '12096.x3', '12096.bh3', '12096.bn3', '12096.bp1', '12096.cr6', '12096.da3'], 'contains': ['48384.a3', '48384.g1', '48384.n3', '48384.ba4', '48384.bl3', '48384.bw7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2762, -1, 6264, -1], 'generators': [357001369401721, 5046, 356995142385840, 1307674368001], 'label': '387072.a.24192.o3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '24192.o3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.o3', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66248917
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.o4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x5', '12096.bh2', '12096.bh3', '12096.bn1', '12096.bn2', '12096.bn3', '12096.bp2', '12096.cr1', '12096.cr4', '12096.cr5', '12096.cr9', '12096.da3', '12096.da4'], 'contains': ['48384.a2', '48384.a3', '48384.g2', '48384.n2', '48384.n3', '48384.ba4', '48384.ba3', '48384.ba6', '48384.ba5', '48384.bl2', '48384.bl4', '48384.bw6', '48384.bw5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4476, -1, 7509, -1], 'generators': [40284726, 356995142743680, 357001329484801, 1307674368001], 'label': '387072.a.24192.o4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.o4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.o4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248918
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.o5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x6', '12096.x8', '12096.bh2', '12096.bh3', '12096.bn2', '12096.bn3', '12096.bp2', '12096.cr3', '12096.cr6', '12096.cr7', '12096.cr9', '12096.da1', '12096.da4'], 'contains': ['48384.a1', '48384.a2', '48384.a3', '48384.g2', '48384.n2', '48384.n3', '48384.ba2', '48384.ba6', '48384.ba7', '48384.ba9', '48384.bl3', '48384.bl4', '48384.bw4', '48384.bw3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4304, -1, 7537, -1], 'generators': [40284726, 357001329484801, 356995142385840, 1307674368001], 'label': '387072.a.24192.o5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.o5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.o5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248919
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.o6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x7', '12096.x9', '12096.bh2', '12096.bn3', '12096.bp2', '12096.cr2', '12096.cr5', '12096.cr7', '12096.cr8', '12096.da2', '12096.da4'], 'contains': ['48384.a3', '48384.g2', '48384.n2', '48384.ba1', '48384.ba3', '48384.ba7', '48384.ba8', '48384.bl1', '48384.bl4', '48384.bw2', '48384.bw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5823, -1, 7729, -1], 'generators': [356995102831920, 40284726, 357001329484801, 1307674368001], 'label': '387072.a.24192.o6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.o6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.o6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248920
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.a1', '504.g1', '504.i1', '504.m1'], 'contains': ['2016.bl1', '3024.bw1', '4032.u1', '4032.u2', '4032.bd1', '4032.bd2', '4032.bd3', '4032.bl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [7712, -1, 8124, -1], 'generators': [367920, 362881, 356995142385847, 7, 3377019112168608, 40284847, 357001369406646, 1307674731001], 'label': '387072.a.1008.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '1008.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.s1', 'subgroup_fusion': None, 'weyl_group': '1152.157858'}
  • id: 66248921
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.r1', '12096.u1', '12096.v3', '12096.w3', '12096.x2', '12096.x1', '12096.bi4', '12096.bi3', '12096.bi9', '12096.bi14', '12096.bo1', '12096.ct3', '12096.ct6', '12096.da3', '12096.db2'], 'contains': ['48384.f2', '48384.f4', '48384.g1', '48384.i1', '48384.ba5', '48384.bc13', '48384.bd1', '48384.bf1', '48384.bf2', '48384.by8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4038, -1, 7390, -1], 'generators': [356995102831927, 40284726, 357001329847801, 1307674368001], 'label': '387072.a.24192.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66248922
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s2', '12096.t2', '12096.v2', '12096.w2', '12096.x2', '12096.x3', '12096.bi1', '12096.bi4', '12096.bi6', '12096.bi8', '12096.bo1', '12096.ct1', '12096.ct5', '12096.da2', '12096.db3'], 'contains': ['48384.f3', '48384.f6', '48384.g1', '48384.i1', '48384.ba8', '48384.bc14', '48384.bd3', '48384.bf4', '48384.by3', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4538, -1, 7800, -1], 'generators': [357001329852721, 40279806, 356995142385847, 1307674368001], 'label': '387072.a.24192.p3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.p2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66248923
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s1', '12096.t1', '12096.v1', '12096.w1', '12096.x1', '12096.x3', '12096.bi1', '12096.bi3', '12096.bi5', '12096.bi7', '12096.bo1', '12096.ct3', '12096.ct4', '12096.da1', '12096.db4'], 'contains': ['48384.f1', '48384.f3', '48384.f5', '48384.g1', '48384.i1', '48384.ba2', '48384.bc13', '48384.bd2', '48384.bf3', '48384.by7', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4828, -1, 7645, -1], 'generators': [40284726, 356995102464007, 357001329489961, 1307674368001], 'label': '387072.a.24192.p2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.p3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66248993
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3456.a1', '8064.n1', '12096.bh1', '12096.cg1', '12096.ch1', '12096.cl1'], 'contains': ['48384.n1', '48384.cg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3216, -1, 5573, -1], 'generators': [357001369769646, 1307714647686, 39921966, 356995142385840], 'label': '387072.a.24192.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '24192.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bk1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66248924
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x7', '12096.bi2', '12096.bi3', '12096.bi5', '12096.bi6', '12096.bi10', '12096.bi12', '12096.bo2', '12096.ct2', '12096.ct3', '12096.ct4', '12096.da1', '12096.db4'], 'contains': ['48384.f1', '48384.f4', '48384.f6', '48384.f5', '48384.g2', '48384.i2', '48384.i5', '48384.ba9', '48384.bc2', '48384.bc15', '48384.bd2', '48384.bf1', '48384.bf5', '48384.by6', '48384.by7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6605, -1, 7954, -1], 'generators': [40284726, 357001329484801, 356995102827007, 1307674368001], 'label': '387072.a.24192.p4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248925
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x8', '12096.bi9', '12096.bi11', '12096.bi12', '12096.bi14', '12096.bi15', '12096.bo2', '12096.ct2', '12096.ct3', '12096.ct5', '12096.ct6', '12096.da4', '12096.db3'], 'contains': ['48384.f2', '48384.f4', '48384.f6', '48384.g2', '48384.i5', '48384.i4', '48384.ba6', '48384.bc14', '48384.bc15', '48384.bd4', '48384.bf3', '48384.bf5', '48384.by4', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5588, -1, 7983, -1], 'generators': [40284726, 356995142385847, 357001369769641, 1307674368001], 'label': '387072.a.24192.p5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248926
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.x6', '12096.bi2', '12096.bi9', '12096.bi10', '12096.bi13', '12096.bi14', '12096.bi15', '12096.bo2', '12096.ct3', '12096.ct4', '12096.ct6', '12096.da2', '12096.db4'], 'contains': ['48384.f2', '48384.f4', '48384.f5', '48384.g2', '48384.i3', '48384.i2', '48384.ba1', '48384.bc2', '48384.bc13', '48384.bd3', '48384.bf3', '48384.bf6', '48384.by6', '48384.by5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5054, -1, 8025, -1], 'generators': [356995142380927, 40284726, 357001329484801, 1307674368001], 'label': '387072.a.24192.p6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248927
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.x9', '12096.bi4', '12096.bi5', '12096.bi7', '12096.bi13', '12096.bi15', '12096.bo2', '12096.ct1', '12096.ct3', '12096.ct5', '12096.ct6', '12096.da4', '12096.db4'], 'contains': ['48384.f3', '48384.f4', '48384.f5', '48384.g2', '48384.i3', '48384.i4', '48384.ba3', '48384.bc13', '48384.bc14', '48384.bd4', '48384.bf2', '48384.bf6', '48384.by6', '48384.by5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5121, -1, 7926, -1], 'generators': [356995142743687, 40284726, 357001369769641, 1307674368001], 'label': '387072.a.24192.p7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248928
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x6', '12096.x7', '12096.bi4', '12096.bi6', '12096.bi8', '12096.bi11', '12096.bi12', '12096.bi15', '12096.bo2', '12096.ct4', '12096.ct5', '12096.da4', '12096.db2'], 'contains': ['48384.f3', '48384.f4', '48384.f6', '48384.g2', '48384.i2', '48384.i4', '48384.ba7', '48384.bc1', '48384.bc13', '48384.bd4', '48384.bf4', '48384.bf5', '48384.by8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5060, -1, 8039, -1], 'generators': [356995142380927, 40284726, 357001369769641, 1307674368001], 'label': '387072.a.24192.p8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248929
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x8', '12096.x9', '12096.bi3', '12096.bi7', '12096.bi8', '12096.bi10', '12096.bi11', '12096.bi15', '12096.bo2', '12096.ct1', '12096.ct4', '12096.ct5', '12096.ct6', '12096.da3', '12096.db4'], 'contains': ['48384.f3', '48384.f4', '48384.f6', '48384.f5', '48384.g2', '48384.i3', '48384.i5', '48384.ba4', '48384.bc13', '48384.bc15', '48384.bd1', '48384.bf4', '48384.bf6', '48384.by5', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4810, -1, 7997, -1], 'generators': [40284726, 357001329484801, 356995102469167, 1307674368001], 'label': '387072.a.24192.p9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248930
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi1', '12096.bi4', '12096.bi3', '12096.bi5', '12096.bi6', '12096.bi7', '12096.bi8', '12096.bi9', '12096.bi14', '12096.cr4', '12096.cr6', '12096.cr8', '12096.cu1', '12096.db5'], 'contains': ['48384.f6', '48384.f5', '48384.g1', '48384.i1', '48384.bc3', '48384.bc6', '48384.bc8', '48384.bc12', '48384.bg1', '48384.bl4', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5048, -1, 8109, -1], 'generators': [40279806, 356995142748847, 357001369764486, 1307674368001], 'label': '387072.a.24192.p10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p10', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248931
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.c1'], 'contains': ['2016.f1', '2016.ba1', '2016.bm1', '3024.ca1', '4032.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [3354, -1, 1069, -1], 'generators': [1307674368006, 1864985502671568, 5046, 356995142748847, 357001369769641, 40284847, 1510544606037817, 4124652992374735], 'label': '387072.a.1008.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.t1', 'old_label': '1008.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.t1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66248932
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p12', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi2', '12096.bi4', '12096.bi7', '12096.bi8', '12096.bi10', '12096.bi11', '12096.bi12', '12096.bi14', '12096.bi15', '12096.cr5', '12096.cr7', '12096.cr8', '12096.cu2', '12096.db5'], 'contains': ['48384.f2', '48384.f6', '48384.f5', '48384.g2', '48384.i3', '48384.i2', '48384.bc10', '48384.bc11', '48384.bc8', '48384.bc9', '48384.bg1', '48384.bl1', '48384.by1', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6090, -1, 8152, -1], 'generators': [356995142380920, 40284726, 357001329484801, 1307674368001], 'label': '387072.a.24192.p12', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p12', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248933
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi2', '12096.bi3', '12096.bi5', '12096.bi7', '12096.bi9', '12096.bi11', '12096.bi13', '12096.bi15', '12096.cr4', '12096.cr5', '12096.cr9', '12096.cu2', '12096.db1', '12096.db5'], 'contains': ['48384.f2', '48384.f5', '48384.g2', '48384.i2', '48384.i5', '48384.bc4', '48384.bc3', '48384.bc7', '48384.bg1', '48384.bl2', '48384.by1', '48384.by2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4822, -1, 7969, -1], 'generators': [40284726, 356995142748847, 357001369764486, 1307674368001], 'label': '387072.a.24192.p11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p12', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248934
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p14', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi4', '12096.bi5', '12096.bi6', '12096.bi9', '12096.bi10', '12096.bi11', '12096.bi12', '12096.bi15', '12096.cr1', '12096.cr2', '12096.cr3', '12096.cu1', '12096.db5'], 'contains': ['48384.f2', '48384.f6', '48384.f5', '48384.g2', '48384.i4', '48384.bc4', '48384.bc5', '48384.bc10', '48384.bc12', '48384.bg2', '48384.bl4', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4804, -1, 7941, -1], 'generators': [40284726, 357001329484801, 356995142748840, 1307674368001], 'label': '387072.a.24192.p14', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p13', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p14', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248935
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.p13', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi3', '12096.bi6', '12096.bi8', '12096.bi10', '12096.bi12', '12096.bi13', '12096.bi14', '12096.bi15', '12096.cr6', '12096.cr7', '12096.cr9', '12096.cu2', '12096.db5'], 'contains': ['48384.f2', '48384.f6', '48384.f5', '48384.g2', '48384.i3', '48384.i5', '48384.bc6', '48384.bc5', '48384.bc11', '48384.bc9', '48384.bg1', '48384.bl3', '48384.by2', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6599, -1, 8496, -1], 'generators': [40284726, 357001329484801, 356995102827000, 1307674368001], 'label': '387072.a.24192.p13', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.p14', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.p13', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248936
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.e1', '12096.bi12', '12096.bi14', '12096.bo2', '12096.ct5', '12096.cu1', '12096.dd1'], 'contains': ['48384.f4', '48384.f6', '48384.h1', '48384.bc12', '48384.bd4', '48384.bm1', '48384.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3958, -1, 7147, -1], 'generators': [121, 356995142385840, 357001369764486, 1307674368001], 'label': '387072.a.24192.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.q1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66248937
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.q2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi5', '12096.bi6', '12096.bi7', '12096.bi10', '12096.bi12', '12096.bo1', '12096.bo2', '12096.ct2', '12096.ct3', '12096.ct4', '12096.cu2', '12096.dd1'], 'contains': ['48384.f1', '48384.f2', '48384.f3', '48384.f4', '48384.f6', '48384.f5', '48384.h1', '48384.bc7', '48384.bc11', '48384.bc9', '48384.bd2', '48384.bd4', '48384.bm4', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4310, -1, 7659, -1], 'generators': [121, 356995102469167, 357001369764486, 1307674368001], 'label': '387072.a.24192.q2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.q2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.q2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248938
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.q3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi6', '12096.bi7', '12096.bi8', '12096.bi11', '12096.bi13', '12096.bo1', '12096.bo2', '12096.ct5', '12096.ct6', '12096.cu1', '12096.cu2', '12096.dd2'], 'contains': ['48384.f2', '48384.f3', '48384.f4', '48384.f6', '48384.f5', '48384.h1', '48384.bc3', '48384.bc6', '48384.bc8', '48384.bd1', '48384.bd3', '48384.bd4', '48384.bm4', '48384.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4232, -1, 7701, -1], 'generators': [121, 356995142748840, 357001369764486, 1307674368001], 'label': '387072.a.24192.q3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.q3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.q3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248939
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.q4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi9', '12096.bi10', '12096.bi11', '12096.bi13', '12096.bi14', '12096.bo2', '12096.ct1', '12096.ct3', '12096.ct4', '12096.cu1', '12096.cu2', '12096.dd2'], 'contains': ['48384.f4', '48384.f6', '48384.f5', '48384.h1', '48384.bc4', '48384.bc5', '48384.bc10', '48384.bd1', '48384.bd3', '48384.bd4', '48384.bm4', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4298, -1, 7687, -1], 'generators': [356995102831927, 121, 357001369764486, 1307674368001], 'label': '387072.a.24192.q4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.q4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.q4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248940
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.f1', '12096.y2', '12096.y3', '12096.ba1', '12096.bc1', '12096.be1', '12096.bf1', '12096.bg1', '12096.bh1', '12096.bi1', '12096.bp1', '12096.db2'], 'contains': ['48384.g1', '48384.n1', '48384.bc1', '48384.bm2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2333, -1, 5643, -1], 'generators': [357001369401721, 356995142385847, 5046, 1307674368001], 'label': '387072.a.24192.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '24192.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.r1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66248941
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.r2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.f2', '12096.bh2', '12096.bi2', '12096.bi15', '12096.bp2', '12096.db2', '12096.db4'], 'contains': ['48384.g2', '48384.n2', '48384.bc2', '48384.bc13', '48384.bm2', '48384.bm5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4470, -1, 6922, -1], 'generators': [126, 357001369764481, 356995102827007, 1307674368001], 'label': '387072.a.24192.r2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.r2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.r2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66248942
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.c1'], 'contains': ['2016.g1', '3024.cb1', '4032.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [3143, -1, 1020, -1], 'generators': [1510544566121016, 1864985502671568, 4124652952095055, 1307674368006, 357001369769641, 356995142748847, 5046, 40284847], 'label': '387072.a.1008.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.u1', 'old_label': '1008.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.u1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66248943
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.r3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.f3', '12096.bi10', '12096.bn3', '12096.bp2', '12096.bq1', '12096.ct5', '12096.db1', '12096.dd1'], 'contains': ['48384.a3', '48384.g2', '48384.h1', '48384.bc7', '48384.bf4', '48384.bm1', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3109, -1, 6761, -1], 'generators': [121, 356995142380920, 357001369764486, 1307674368001], 'label': '387072.a.24192.r3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.r3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.r3', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66248944
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.r4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.y1', '12096.z1', '12096.z2', '12096.bb1', '12096.bb2', '12096.bd1', '12096.bd2', '12096.bh3', '12096.bi4', '12096.bi3', '12096.bp1', '12096.bp2', '12096.db3', '12096.db4'], 'contains': ['48384.g1', '48384.g2', '48384.n3', '48384.bc14', '48384.bc15', '48384.bm3', '48384.bm5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3211, -1, 6494, -1], 'generators': [356995142380927, 126, 357001369764481, 1307674368001], 'label': '387072.a.24192.r4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '24192.r4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.r4', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66248945
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.r5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi5', '12096.bi8', '12096.bi9', '12096.bn1', '12096.bn2', '12096.bn3', '12096.bp1', '12096.bp2', '12096.bq1', '12096.ct3', '12096.ct5', '12096.db5', '12096.dd2'], 'contains': ['48384.a2', '48384.a3', '48384.g1', '48384.g2', '48384.h1', '48384.bc4', '48384.bc5', '48384.bc8', '48384.bf2', '48384.bf3', '48384.bf5', '48384.bm4', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3416, -1, 6936, -1], 'generators': [121, 356995142743680, 357001369764486, 1307674368001], 'label': '387072.a.24192.r5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.r5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.r5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248946
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.r6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi6', '12096.bi7', '12096.bi14', '12096.bn2', '12096.bn3', '12096.bp1', '12096.bp2', '12096.bq1', '12096.ct1', '12096.ct4', '12096.ct6', '12096.db5', '12096.dd1'], 'contains': ['48384.a1', '48384.a2', '48384.a3', '48384.g1', '48384.g2', '48384.h1', '48384.bc11', '48384.bc9', '48384.bc12', '48384.bf4', '48384.bf6', '48384.bm4', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3379, -1, 6950, -1], 'generators': [121, 356995102464007, 357001369764486, 1307674368001], 'label': '387072.a.24192.r6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.r6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.r6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248947
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.r7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi11', '12096.bi12', '12096.bi13', '12096.bn3', '12096.bp2', '12096.bq1', '12096.ct2', '12096.ct4', '12096.ct6', '12096.db5', '12096.dd2'], 'contains': ['48384.a3', '48384.g2', '48384.h1', '48384.bc3', '48384.bc6', '48384.bc10', '48384.bf1', '48384.bf3', '48384.bf5', '48384.bm4', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3665, -1, 7264, -1], 'generators': [121, 356995102827007, 357001369764486, 1307674368001], 'label': '387072.a.24192.r7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.r7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.r7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248948
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.g1', '12096.bj1', '12096.bk1', '12096.bl1', '12096.bm1', '12096.bo1', '12096.bp1', '12096.bq1', '12096.cu1', '12096.de1'], 'contains': ['48384.g1', '48384.h1', '48384.bg2', '48384.bn1', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2011, -1, 5875, -1], 'generators': [121, 356995142385847, 1307674368001, 357001369406646], 'label': '387072.a.24192.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '24192.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.s1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66248949
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.s2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.g2', '12096.bo2', '12096.bp2', '12096.bq1', '12096.cu1', '12096.cu2', '12096.de1'], 'contains': ['48384.g2', '48384.h1', '48384.bg1', '48384.bn1', '48384.bn2', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3098, -1, 6222, -1], 'generators': [121, 356995142743687, 357001369764486, 1307674368001], 'label': '387072.a.24192.s2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.s2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.s2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66248950
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.h1', '12096.x2', '12096.x1', '12096.bi1', '12096.cl1', '12096.cl3', '12096.cr4', '12096.cr8'], 'contains': ['48384.i1', '48384.n1', '48384.bw1', '48384.bw5', '48384.by1', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8009, -1, 8468, -1], 'generators': [1307674373161, 40284726, 356995102827000, 357001369764486], 'label': '387072.a.24192.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.t1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66248951
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.t2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.h2', '12096.x6', '12096.x7', '12096.bi2', '12096.cl1', '12096.cl2', '12096.cr5'], 'contains': ['48384.i2', '48384.n2', '48384.bw1', '48384.bw5', '48384.by1', '48384.cg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8435, -1, 8566, -1], 'generators': [1307674373161, 40284726, 357001369769641, 356995102827000], 'label': '387072.a.24192.t2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.t2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.t2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66248952
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.t3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.h3', '12096.x8', '12096.x9', '12096.bi2', '12096.cl2', '12096.cl3', '12096.cr7', '12096.cr9'], 'contains': ['48384.i3', '48384.i5', '48384.n2', '48384.bw4', '48384.bw3', '48384.by1', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8032, -1, 8791, -1], 'generators': [1307674373161, 356995102831920, 40284726, 357001329484801], 'label': '387072.a.24192.t3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.t3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.t3', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66248953
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.c1', '504.l1'], 'contains': ['2016.j1', '2016.j2', '2016.s1', '2016.z1', '2016.bb1', '2016.bn1', '3024.cg1', '4032.n1', '4032.n2', '4032.n3', '4032.o1', '4032.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4925, -1, 1430, -1], 'generators': [1866299444335135, 357001369769646, 1307674368001, 356995142385847, 121, 5160, 40284847, 363007], 'label': '387072.a.1008.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '1008.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.v1', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66248954
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.t5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x3', '12096.x4', '12096.x5', '12096.x6', '12096.x8', '12096.bi3', '12096.cl3', '12096.cr4', '12096.cr5', '12096.cr6', '12096.cr7', '12096.cr9'], 'contains': ['48384.i1', '48384.i3', '48384.i2', '48384.i5', '48384.n3', '48384.bw2', '48384.bw1', '48384.bw4', '48384.bw6', '48384.by2', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8129, -1, 8876, -1], 'generators': [1307674373161, 40284726, 356995142748840, 357001369764486], 'label': '387072.a.24192.t5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.t4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.t5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248955
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.t4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x3', '12096.x4', '12096.x5', '12096.x6', '12096.x8', '12096.bi4', '12096.cl2', '12096.cl3', '12096.cr1', '12096.cr3', '12096.cr4', '12096.cr6', '12096.cr8'], 'contains': ['48384.i1', '48384.i3', '48384.i2', '48384.i4', '48384.n3', '48384.bw2', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw7', '48384.bw9', '48384.by11', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8090, -1, 8847, -1], 'generators': [357001369769646, 1307674373161, 40284726, 356995102464007], 'label': '387072.a.24192.t4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.t5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.t4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248956
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.t6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x7', '12096.x8', '12096.x9', '12096.bi15', '12096.cl2', '12096.cl3', '12096.cr2', '12096.cr4', '12096.cr5', '12096.cr6', '12096.cr9'], 'contains': ['48384.i2', '48384.i5', '48384.i4', '48384.n2', '48384.bw2', '48384.bw1', '48384.bw6', '48384.bw7', '48384.bw5', '48384.bw9', '48384.by11', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8499, -1, 8890, -1], 'generators': [357001369769646, 1307674373161, 40284726, 356995142743680], 'label': '387072.a.24192.t6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.t6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.t6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248957
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.t7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.x6', '12096.x7', '12096.x9', '12096.bi15', '12096.cl2', '12096.cr1', '12096.cr3', '12096.cr7', '12096.cr8'], 'contains': ['48384.i3', '48384.i2', '48384.i4', '48384.n2', '48384.bw2', '48384.bw3', '48384.bw8', '48384.bw5', '48384.by11', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8014, -1, 8833, -1], 'generators': [357001369769646, 1307674373161, 40284726, 356995142385847], 'label': '387072.a.24192.t7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.t7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.t7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66248958
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.u2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.u2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b3', '12096.b4', '12096.c1', '12096.d1', '12096.d2', '12096.f1', '12096.bv4', '12096.bv5', '12096.bw2', '12096.bw4', '12096.bx1', '12096.bx3', '12096.bx5', '12096.ca1', '12096.ca4'], 'contains': ['48384.k1', '48384.l1', '48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [344, -1, 2908, -1], 'generators': [356995102464121, 1110255864082543, 357001329852847, 4540245191228183], 'label': '387072.a.24192.u2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.u2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248959
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.u1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b1', '12096.b2', '12096.c2', '12096.d1', '12096.d2', '12096.f2', '12096.bv1', '12096.bv2', '12096.bw1', '12096.bw4', '12096.bx2', '12096.bx4', '12096.bx5', '12096.ca2', '12096.ca4'], 'contains': ['48384.k1', '48384.l1', '48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [299, -1, 2888, -1], 'generators': [356995102464121, 357001329852847, 754568435986423, 4540245191228183], 'label': '387072.a.24192.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.u2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.u1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248960
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.v1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.c1', '12096.c2', '12096.d2', '12096.bs1', '12096.bw3', '12096.bx1', '12096.bx2', '12096.by1', '12096.cc1'], 'contains': ['48384.k1', '48384.l1', '48384.o1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [217, -1, 2720, -1], 'generators': [356995102464121, 357001329852847, 754568435986423, 4538937516860182], 'label': '387072.a.24192.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '24192.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.v1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66248961
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.v2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.v3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.br1', '12096.bs1', '12096.bt1', '12096.by1', '12096.cb1', '12096.cb2'], 'contains': ['48384.j3', '48384.l1', '48384.o1', '48384.p1', '48384.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [66, -1, 1532, -1], 'generators': [355687428101047, 357001329852847, 1110262091466102, 4538937516860182], 'label': '387072.a.24192.v2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '24192.v2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.v2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248963
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.w1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b3', '12096.b1', '12096.d2', '12096.e2', '12096.g1', '12096.bv5', '12096.bv6', '12096.bv2', '12096.bv3', '12096.bx3', '12096.bx4', '12096.bz2', '12096.bz1', '12096.bz3'], 'contains': ['48384.k1', '48384.m1', '48384.bz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [760, -1, 3290, -1], 'generators': [356995102464121, 754568436344263, 357001329852847, 4538937516860182], 'label': '387072.a.24192.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.w1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248964
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.b1', '504.j1'], 'contains': ['2016.bd1', '2016.bo1', '2016.bq1', '3024.ch1', '4032.z1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4808, -1, 2238, -1], 'generators': [357001369769646, 121, 1307714652846, 6385615834383665, 39916927, 1864985502666529, 356995142748847, 7], 'label': '387072.a.1008.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '1008.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.w1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66248965
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.w2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.w2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b4', '12096.b2', '12096.e1', '12096.f1', '12096.f2', '12096.bv4', '12096.bv6', '12096.bv1', '12096.bv3', '12096.bw3', '12096.bz2', '12096.bz1', '12096.bz3', '12096.ca4'], 'contains': ['48384.k1', '48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [652, -1, 3197, -1], 'generators': [356995102464121, 754568436344263, 4540238964207377, 357001329852847], 'label': '387072.a.24192.w2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.w2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.w2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248966
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.d1', '12096.f1', '12096.f2', '12096.bt1', '12096.bx3', '12096.bx4', '12096.by1', '12096.ca3', '12096.cc1'], 'contains': ['48384.k1', '48384.l1', '48384.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [238, -1, 2776, -1], 'generators': [356995102464121, 4540238964207377, 357001329852847, 1110255864440383], 'label': '387072.a.24192.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '24192.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.x1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66248967
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.x2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.x3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bs1', '12096.bt1', '12096.bu1', '12096.cb1', '12096.cb2', '12096.cc1'], 'contains': ['48384.j3', '48384.k1', '48384.o1', '48384.p1', '48384.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [129, -1, 1473, -1], 'generators': [355687428101047, 4538937517223177, 357001329852847, 1110262091466102], 'label': '387072.a.24192.x2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '24192.x2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.x2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248968
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.x3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.x2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bs1', '12096.bt1', '12096.bu1', '12096.cb2', '12096.cc1'], 'contains': ['48384.j1', '48384.j3', '48384.k1', '48384.o1', '48384.p1', '48384.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [119, -1, 1496, -1], 'generators': [4540245191233336, 356995102826886, 357001329852847, 1110255864440383], 'label': '387072.a.24192.x3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '24192.x3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.x3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66248969
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.e1', '12096.e2', '12096.f1', '12096.f2', '12096.g1', '12096.bx1', '12096.bx2', '12096.bx5', '12096.bz2', '12096.bz1', '12096.ca2', '12096.ca1', '12096.ca3'], 'contains': ['48384.k1', '48384.m1', '48384.ca1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [595, -1, 3085, -1], 'generators': [356995102464121, 357001329852847, 1110255864440383, 4540245191228302], 'label': '387072.a.24192.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.y1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248970
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.z1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.i1', '12096.g1', '12096.bu1', '12096.ca4', '12096.cc1'], 'contains': ['48384.k1', '48384.q1', '48384.cb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [290, -1, 1583, -1], 'generators': [356995102464121, 357001329852847, 4538937516860182, 1110255864440383], 'label': '387072.a.24192.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.a1', 'old_label': '24192.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.z1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66248971
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b3', '12096.b1', '12096.c1', '12096.c2', '12096.h2', '12096.bv4', '12096.bv6', '12096.bv1', '12096.bv3', '12096.bw4', '12096.ca3', '12096.cd1', '12096.cd2', '12096.cd3'], 'contains': ['48384.l1', '48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [557, -1, 3134, -1], 'generators': [356995102464121, 4538937516860303, 357001329852847, 754568435986423], 'label': '387072.a.24192.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ba1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248972
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ba2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.ba2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b4', '12096.b2', '12096.d1', '12096.h1', '12096.i1', '12096.bv5', '12096.bv6', '12096.bv2', '12096.bv3', '12096.bx1', '12096.bx2', '12096.cd1', '12096.cd2', '12096.cd3'], 'contains': ['48384.l1', '48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [535, -1, 3060, -1], 'generators': [356995102464121, 357001329852847, 754568435986423, 4540238964207496], 'label': '387072.a.24192.ba2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.ba2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ba2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248973
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bb1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.c1', '12096.c2', '12096.h1', '12096.h2', '12096.i1', '12096.bw2', '12096.bw1', '12096.bw3', '12096.bx3', '12096.bx4', '12096.bx5', '12096.cd1', '12096.cd2'], 'contains': ['48384.l1', '48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [375, -1, 2870, -1], 'generators': [356995102464121, 357001329852847, 754568435986423, 4540245191228302], 'label': '387072.a.24192.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bb1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248974
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.j1', '12096.i1', '12096.br1', '12096.bw4', '12096.by1'], 'contains': ['48384.l1', '48384.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [198, -1, 2226, -1], 'generators': [356995102464121, 357001329852847, 754568435986423, 4894618718298263], 'label': '387072.a.24192.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.a1', 'old_label': '24192.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bc1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66248975
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '72.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1'], 'contains': ['144.c1', '144.d1', '216.a1', '504.j1', '4608.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4640, -1, 1729, -1], 'generators': [6031369810384703, 2279262573947231, 1111724395097032, 357001369769646, 5167, 1307674368001, 356995142748847, 121, 40284847, 363000], 'label': '387072.a.72.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '72.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '5376.bi'}
  • id: 66248976
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.e1', '336.b1'], 'contains': ['2016.be1', '2016.bp1', '2016.br1', '3024.ch1', '4032.ba1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5402, -1, 6688, -1], 'generators': [1867707711843263, 3378333013194655, 357001369769646, 356995142748847, 362881, 367920, 1307714652846, 7], 'label': '387072.a.1008.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '1008.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.x1', 'subgroup_fusion': None, 'weyl_group': '576.8656'}
  • id: 66248977
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.k1', '12096.e2', '12096.h1', '12096.bv4', '12096.bv1', '12096.ce1'], 'contains': ['48384.m1', '48384.cc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1162, -1, 3248, -1], 'generators': [356995102464121, 754568436344263, 357001329852847, 4540245191228302], 'label': '387072.a.24192.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.c1', 'old_label': '24192.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bd1', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66248978
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bd2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.b3', '12096.b4', '12096.b1', '12096.b2', '12096.e1', '12096.h2', '12096.bv5', '12096.bv2', '12096.bz2', '12096.bz1', '12096.cd1', '12096.cd2', '12096.ce1'], 'contains': ['48384.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [815, -1, 3445, -1], 'generators': [356995102464121, 1110255864082543, 357001329852847, 4540245191228302], 'label': '387072.a.24192.bd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.bd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bd2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248979
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.be2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j2', '12096.k1', '12096.y3', '12096.bv6', '12096.bv10', '12096.bv9', '12096.bw2', '12096.bx5', '12096.by1', '12096.ca2', '12096.cb2', '12096.cc1', '12096.cf1', '12096.cg1'], 'contains': ['48384.j1', '48384.j3', '48384.k1', '48384.l1', '48384.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [517, -1, 2823, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 357001329852847], 'label': '387072.a.24192.be2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '24192.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.be2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248980
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j1', '12096.k2', '12096.y2', '12096.bv3', '12096.bv7', '12096.bv8', '12096.bw1', '12096.bx5', '12096.by1', '12096.ca1', '12096.cb1', '12096.cb2', '12096.cc1', '12096.cf2', '12096.cg1'], 'contains': ['48384.j3', '48384.k1', '48384.l1', '48384.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [491, -1, 2800, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 357001329852847], 'label': '387072.a.24192.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '24192.be2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.be1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248981
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.be3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j3', '12096.j4', '12096.k1', '12096.k2', '12096.y1', '12096.bw3', '12096.bw4', '12096.bx1', '12096.bx2', '12096.bx3', '12096.bx4', '12096.ca3', '12096.ca4', '12096.cf3', '12096.cg2'], 'contains': ['48384.j2', '48384.k1', '48384.l1', '48384.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [527, -1, 3109, -1], 'generators': [753266989002102, 1307674373047, 355693655479800, 355687428101166], 'label': '387072.a.24192.be3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.be3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.be3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248982
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j2', '12096.j4', '12096.l1', '12096.l3', '12096.z1', '12096.bv4', '12096.bv5', '12096.bx2', '12096.bx4', '12096.bz2', '12096.bz1', '12096.ca3', '12096.ca4', '12096.cf2', '12096.cf3'], 'contains': ['48384.k1', '48384.m1', '48384.n3', '48384.cd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [956, -1, 3562, -1], 'generators': [356995102831920, 753260761976262, 368041, 357001329484806], 'label': '387072.a.24192.bf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bf2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248983
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j1', '12096.j3', '12096.l2', '12096.l3', '12096.z2', '12096.bv1', '12096.bv2', '12096.bx1', '12096.bx3', '12096.bz2', '12096.bz1', '12096.ca3', '12096.ca4', '12096.cf1', '12096.cf3'], 'contains': ['48384.k1', '48384.m1', '48384.n3', '48384.cd1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [945, -1, 3586, -1], 'generators': [355693655484720, 753260761976383, 1307674368127, 355687428459001], 'label': '387072.a.24192.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.bf2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bf1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248984
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.l1', '12096.l2', '12096.l1', '12096.ba1', '12096.bz3', '12096.ca2', '12096.ca1', '12096.cc1', '12096.cg1', '12096.cg2'], 'contains': ['48384.k1', '48384.n1', '48384.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2048, -1, 3503, -1], 'generators': [356995102464121, 753260761976262, 357001329489840, 363007], 'label': '387072.a.24192.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '24192.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bg1', 'subgroup_fusion': None, 'weyl_group': '96.204'}
  • id: 66248985
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j2', '12096.j4', '12096.m1', '12096.m3', '12096.bb2', '12096.bv1', '12096.bv2', '12096.bw3', '12096.bw4', '12096.bx1', '12096.bx3', '12096.cd1', '12096.cd2', '12096.cf2', '12096.cf3'], 'contains': ['48384.l1', '48384.m1', '48384.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [725, -1, 3520, -1], 'generators': [356995102831920, 368041, 1108948190072382, 357001329484806], 'label': '387072.a.24192.bh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bh2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248986
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j1', '12096.j3', '12096.m2', '12096.m3', '12096.bb1', '12096.bv4', '12096.bv5', '12096.bw3', '12096.bw4', '12096.bx2', '12096.bx4', '12096.cd1', '12096.cd2', '12096.cf1', '12096.cf3'], 'contains': ['48384.l1', '48384.m1', '48384.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [750, -1, 3539, -1], 'generators': [355693655484720, 753266988997182, 1307674368127, 355687428459001], 'label': '387072.a.24192.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.bh2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bh1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248987
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.c1', '504.j1', '504.k1', '504.l1'], 'contains': ['2016.k1', '2016.z1', '2016.bb1', '2016.bd1', '2016.bs1', '3024.ci1', '4032.f1', '4032.f2', '4032.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4883, -1, 1622, -1], 'generators': [357001369769646, 121, 367920, 1864985503034449, 356995142748847, 7, 1307674368001, 40284847], 'label': '387072.a.1008.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1008.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.y1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66248988
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.m1', '12096.m2', '12096.m1', '12096.bc1', '12096.bw2', '12096.bw1', '12096.by1', '12096.cd3', '12096.cg1', '12096.cg2'], 'contains': ['48384.l1', '48384.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [1489, -1, 2848, -1], 'generators': [356995102464121, 357001329489840, 1108954417093176, 363007], 'label': '387072.a.24192.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '24192.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bi1', 'subgroup_fusion': None, 'weyl_group': '96.204'}
  • id: 66248989
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j2', '12096.q1', '12096.y3', '12096.bv3', '12096.bv8', '12096.bv10', '12096.bv9', '12096.bw1', '12096.bz3', '12096.ca1', '12096.cd3', '12096.ce1', '12096.cf1', '12096.ch1'], 'contains': ['48384.m1', '48384.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1237, -1, 3036, -1], 'generators': [356995102464121, 1307674735921, 357001329852847, 1108948190072382], 'label': '387072.a.24192.bj2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '24192.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bj2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248990
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j1', '12096.q2', '12096.y2', '12096.bv6', '12096.bv7', '12096.bv10', '12096.bv9', '12096.bw2', '12096.bz3', '12096.ca2', '12096.cd3', '12096.ce1', '12096.cf2', '12096.ch1'], 'contains': ['48384.m1', '48384.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1221, -1, 3010, -1], 'generators': [356995102464121, 1307674373166, 357001329852847, 1108948190072382], 'label': '387072.a.24192.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '24192.bj2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bj1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248991
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bj3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.j3', '12096.j4', '12096.q2', '12096.q1', '12096.y1', '12096.bv4', '12096.bv5', '12096.bv1', '12096.bv2', '12096.bz2', '12096.bz1', '12096.cd1', '12096.cd2', '12096.cf3', '12096.ch2'], 'contains': ['48384.m1', '48384.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [932, -1, 3714, -1], 'generators': [1307674373047, 355693655479800, 355687428101166, 1108948190072382], 'label': '387072.a.24192.bj3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '24192.bj3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bj3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66248992
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bj4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.l2', '12096.l1', '12096.m2', '12096.m1', '12096.q4', '12096.q3', '12096.bg1', '12096.bv6', '12096.bv3', '12096.bx5', '12096.ce1', '12096.ch1', '12096.ch2'], 'contains': ['48384.m1', '48384.n1', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2065, -1, 5307, -1], 'generators': [356995102464121, 357001329489840, 363007, 1108948190072382], 'label': '387072.a.24192.bj4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.d1', 'old_label': '24192.bj4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bj4', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66248994
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3456.a2', '8064.n2', '12096.bh2', '12096.cl1', '12096.cl2'], 'contains': ['48384.n2', '48384.cg1', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [7655, -1, 6798, -1], 'generators': [1307674373161, 40284721, 356995142385840, 357001369769641], 'label': '387072.a.24192.bk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.c1', 'old_label': '24192.bk2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bk2', 'subgroup_fusion': None, 'weyl_group': '21.1'}
  • id: 66248995
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bk3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.n3', '12096.bh2', '12096.bh3', '12096.cf3', '12096.cl2', '12096.cl3'], 'contains': ['48384.n2', '48384.n3', '48384.cg2', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [6652, -1, 7202, -1], 'generators': [1307674373161, 356995102831920, 40284721, 357001369769641], 'label': '387072.a.24192.bk3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '24192.bk3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bk3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66248996
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bk4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.n4', '12096.bh1', '12096.bh3', '12096.cf2', '12096.cf1', '12096.cg2', '12096.ch2', '12096.cl3'], 'contains': ['48384.n1', '48384.n3', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2197, -1, 5587, -1], 'generators': [357001369769646, 1307714647686, 39921966, 356995142380920], 'label': '387072.a.24192.bk4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '24192.bk4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bk4', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66248997
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.o1', '12096.br1', '12096.bs1'], 'contains': ['48384.o1', '48384.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [22, -1, 1106, -1], 'generators': [4540238964570382, 3771701318251582, 1108948189714542, 357001329852847], 'label': '387072.a.24192.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.m1', 'old_label': '24192.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bl1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66248998
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.c1', '504.f1'], 'contains': ['2016.bh1', '2016.bi1', '2016.bj1', '3024.cj1', '4032.y1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5236, -1, 2415, -1], 'generators': [121, 367920, 1510611976322335, 356995142385847, 357001369406641, 6028626919391590, 1307674731001, 40284840], 'label': '387072.a.1008.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '1008.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.z1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66248999
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.p1', '12096.br1', '12096.bs1', '12096.bt1'], 'contains': ['48384.o1', '48384.p1', '48384.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [48, -1, 1179, -1], 'generators': [4540238964570382, 3771701318251582, 357001329852847, 1110255864440383], 'label': '387072.a.24192.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.m1', 'old_label': '24192.bm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bm1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249000
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bm2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.p2', '12096.bs1', '12096.bu1'], 'contains': ['48384.o1', '48384.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [140, -1, 1081, -1], 'generators': [3771701318251582, 1108948189714542, 357001329852847, 4895932619324303], 'label': '387072.a.24192.bm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.m1', 'old_label': '24192.bm2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bm2', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249001
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bm3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bm3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.br1', '12096.bs1', '12096.bt1'], 'contains': ['48384.o1', '48384.p1', '48384.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [41, -1, 1375, -1], 'generators': [3771701318251582, 4895932619687056, 357001329852847, 1110255864440383], 'label': '387072.a.24192.bm3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '24192.bm3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bm3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249002
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bn1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bs1', '12096.bt1', '12096.bu1'], 'contains': ['48384.o1', '48384.p1', '48384.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [106, -1, 1160, -1], 'generators': [3771701318251582, 357001329852847, 4895932619324303, 1110255864440383], 'label': '387072.a.24192.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '24192.bn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249003
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bo1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3456.b1', '8064.q1', '12096.bu1'], 'contains': ['48384.q1', '48384.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 144, 'diagramx': [152, -1, 81, -1], 'generators': [3773008992977423, 357001329852847, 4895932619324303, 1110255864440383], 'label': '387072.a.24192.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '144.b1', 'old_label': '24192.bo1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bo1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249004
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.ci1', '12096.ci2', '12096.cj1', '12096.cn1', '12096.cn2', '12096.co1', '12096.cw1'], 'contains': ['48384.s2', '48384.t1', '48384.w1', '48384.x1', '48384.be1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2240, -1, 5188, -1], 'generators': [357001369769646, 121, 356995142380920, 1110255864440383], 'label': '387072.a.24192.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.bp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bp1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249005
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.ci1', '12096.ci2', '12096.ck1', '12096.cn1', '12096.cn2', '12096.cq1', '12096.cz1'], 'contains': ['48384.s2', '48384.y1', '48384.z1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2769, -1, 6511, -1], 'generators': [357001369769646, 121, 1110262131014983, 356995142380920], 'label': '387072.a.24192.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.bq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bq1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249006
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.r1', '12096.cj1', '12096.ck1', '12096.cl2', '12096.cr1', '12096.cr2', '12096.da4', '12096.db2'], 'contains': ['48384.i4', '48384.n2', '48384.s2', '48384.ba5', '48384.bc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5470, -1, 7119, -1], 'generators': [357001369769646, 40279806, 356995102469167, 1307674368001], 'label': '387072.a.24192.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '24192.br1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.br1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249007
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.r2', '12096.cl1', '12096.cl3', '12096.cr4', '12096.cr8', '12096.da1', '12096.da2', '12096.db2'], 'contains': ['48384.i1', '48384.i2', '48384.n1', '48384.n2', '48384.s1', '48384.ba7', '48384.bc2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [6233, -1, 7250, -1], 'generators': [357001369769646, 356995102831920, 40284726, 1307674368001], 'label': '387072.a.24192.br2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.br2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.br2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249008
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.br3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.ci1', '12096.cl3', '12096.cr1', '12096.cr3', '12096.cr4', '12096.cr6', '12096.da1', '12096.da3', '12096.da4', '12096.db3'], 'contains': ['48384.i1', '48384.i5', '48384.i4', '48384.n3', '48384.s1', '48384.s2', '48384.ba6', '48384.ba8', '48384.bc15'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5432, -1, 7523, -1], 'generators': [357001369769646, 40284726, 356995102469167, 1307674368001], 'label': '387072.a.24192.br3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.br3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.br3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249009
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.e1'], 'contains': ['2016.bf1', '2016.bg1', '2016.bk1', '3024.cj2', '4032.ba1', '4032.bm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9574, -1, 9416, -1], 'generators': [1867707711843263, 3022645625015455, 367927, 1307674368001, 356995142748840, 357001369406641, 362881, 39921840], 'label': '387072.a.1008.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.ba1', 'old_label': '1008.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.ba1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 66249010
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.br4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.ci2', '12096.cl2', '12096.cr2', '12096.cr3', '12096.cr5', '12096.cr7', '12096.da2', '12096.da4', '12096.db4'], 'contains': ['48384.i3', '48384.i2', '48384.i4', '48384.n2', '48384.s2', '48384.ba2', '48384.ba1', '48384.bc14'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6029, -1, 7743, -1], 'generators': [357001369769646, 40279806, 356995142385847, 1307674368001], 'label': '387072.a.24192.br4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.br4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.br4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249011
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.br5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cl2', '12096.cl3', '12096.cr5', '12096.cr6', '12096.cr7', '12096.cr8', '12096.cr9', '12096.da1', '12096.da2', '12096.da3', '12096.da4', '12096.db4'], 'contains': ['48384.i1', '48384.i3', '48384.i2', '48384.i5', '48384.n2', '48384.n3', '48384.s1', '48384.s2', '48384.ba4', '48384.ba3', '48384.ba9', '48384.bc13'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6084, -1, 7758, -1], 'generators': [357001369769646, 40284726, 356995142743680, 1307674368001], 'label': '387072.a.24192.br5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.br5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.br5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249012
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cm2', '12096.cm1', '12096.co1', '12096.cs1', '12096.cw1', '12096.dc1'], 'contains': ['48384.t1', '48384.u1', '48384.bb1', '48384.bi1', '48384.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1615, -1, 4986, -1], 'generators': [357001369769646, 121, 356995142743687, 1110255864440383], 'label': '387072.a.24192.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.bs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bs1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249013
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cm2', '12096.cm1', '12096.cp2', '12096.cp1', '12096.cs1', '12096.cy1', '12096.dc1'], 'contains': ['48384.u1', '48384.bj1', '48384.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2004, -1, 5466, -1], 'generators': [357001369769646, 1110262131014976, 121, 356995142743687], 'label': '387072.a.24192.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.bt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bt1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249014
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cm2', '12096.cr2', '12096.cr6', '12096.cr7', '12096.ct2', '12096.ct5', '12096.da3', '12096.da4', '12096.db5', '12096.dd2'], 'contains': ['48384.a3', '48384.f6', '48384.i5', '48384.i4', '48384.s2', '48384.u1', '48384.bc8', '48384.bf2', '48384.bl3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3659, -1, 7133, -1], 'generators': [357001369769646, 40279806, 356995142380927, 1307674368001], 'label': '387072.a.24192.bu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.bu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bu2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249015
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cm1', '12096.cr4', '12096.cr9', '12096.ct1', '12096.ct3', '12096.da1', '12096.da3', '12096.db5', '12096.dd2'], 'contains': ['48384.a2', '48384.f5', '48384.i1', '48384.i5', '48384.s1', '48384.u1', '48384.bc10', '48384.bf1', '48384.bl3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3481, -1, 7034, -1], 'generators': [357001369769646, 40284726, 356995142748840, 1307674368001], 'label': '387072.a.24192.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.bu2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bu1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249016
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bu3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cr1', '12096.cr3', '12096.cr4', '12096.cr7', '12096.cr8', '12096.cr9', '12096.ct3', '12096.ct5', '12096.ct6', '12096.da2', '12096.da3', '12096.da4', '12096.db5', '12096.dd1'], 'contains': ['48384.a2', '48384.a3', '48384.f2', '48384.f6', '48384.i1', '48384.i3', '48384.i4', '48384.s1', '48384.s2', '48384.u1', '48384.bc7', '48384.bc12', '48384.bf6', '48384.bl4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3906, -1, 7334, -1], 'generators': [357001369769646, 356995142743687, 40284726, 1307674368001], 'label': '387072.a.24192.bu3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.bu3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bu3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249017
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bu4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cr1', '12096.cr4', '12096.cr5', '12096.cr6', '12096.cr8', '12096.ct3', '12096.ct4', '12096.ct5', '12096.da1', '12096.da2', '12096.da4', '12096.db5', '12096.dd2'], 'contains': ['48384.a2', '48384.a3', '48384.f6', '48384.f5', '48384.i1', '48384.i2', '48384.i4', '48384.s1', '48384.s2', '48384.u1', '48384.bc6', '48384.bc5', '48384.bf3', '48384.bl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4201, -1, 7376, -1], 'generators': [357001369769646, 40284726, 356995102464007, 1307674368001], 'label': '387072.a.24192.bu4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.bu4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bu4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249018
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bu5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cr2', '12096.cr5', '12096.cr6', '12096.cr7', '12096.cr9', '12096.ct2', '12096.ct4', '12096.ct6', '12096.da2', '12096.da3', '12096.da4', '12096.db1', '12096.db5', '12096.dd2'], 'contains': ['48384.a3', '48384.f2', '48384.f5', '48384.i2', '48384.i5', '48384.s2', '48384.u1', '48384.bc4', '48384.bc3', '48384.bf4', '48384.bl2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3918, -1, 7348, -1], 'generators': [357001369769646, 40279806, 356995142743687, 1307674368001], 'label': '387072.a.24192.bu5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.bu5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bu5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249019
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bu6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cr3', '12096.cr6', '12096.cr7', '12096.cr8', '12096.cr9', '12096.ct1', '12096.ct4', '12096.ct6', '12096.da1', '12096.da4', '12096.db5', '12096.dd1'], 'contains': ['48384.a1', '48384.a3', '48384.f6', '48384.f5', '48384.i1', '48384.i3', '48384.i4', '48384.s1', '48384.s2', '48384.u1', '48384.bc11', '48384.bc9', '48384.bf5', '48384.bl4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3912, -1, 7362, -1], 'generators': [357001369769646, 40284726, 356995142385847, 1307674368001], 'label': '387072.a.24192.bu6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.bu6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bu6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249020
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.c1', '336.d1', '504.g1'], 'contains': ['2016.bl1', '3024.cj1', '4032.bb1', '4032.bg1', '4032.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 168, 'diagramx': [5902, -1, 8101, -1], 'generators': [367927, 1307674731006, 3377025339194448, 1513334224684822, 362886, 356995142385847, 40284847, 357001369406646], 'label': '387072.a.1008.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '168.a1', 'old_label': '1008.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.bb1', 'subgroup_fusion': None, 'weyl_group': '1152.157858'}
  • id: 66249021
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cn1', '12096.cr1', '12096.cr7', '12096.ct2', '12096.ct3', '12096.ct4', '12096.cu2', '12096.db4', '12096.dd1'], 'contains': ['48384.f1', '48384.f4', '48384.g2', '48384.i3', '48384.s2', '48384.u1', '48384.bd2', '48384.bf6', '48384.bm5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3826, -1, 7062, -1], 'generators': [40284726, 356995142748847, 357001329489961, 1307674368001], 'label': '387072.a.24192.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.bv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bv1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249022
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cn2', '12096.cr2', '12096.cr9', '12096.ct4', '12096.ct5', '12096.ct6', '12096.cu2', '12096.db3', '12096.db4', '12096.dd2'], 'contains': ['48384.f3', '48384.f4', '48384.g2', '48384.i5', '48384.s2', '48384.u1', '48384.bd3', '48384.bf3', '48384.bm3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3626, -1, 7105, -1], 'generators': [40284726, 356995102464007, 357001369769641, 1307674368001], 'label': '387072.a.24192.bv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.bv2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bv2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249023
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bv3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.co1', '12096.cp2', '12096.cp1', '12096.cq1', '12096.cr3', '12096.cr5', '12096.ct2', '12096.ct1', '12096.ct5', '12096.ct6', '12096.cu2', '12096.db2', '12096.db4', '12096.dd2'], 'contains': ['48384.f3', '48384.f4', '48384.g2', '48384.i2', '48384.s2', '48384.u1', '48384.bd1', '48384.bf1', '48384.bf2', '48384.bm2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3406, -1, 6908, -1], 'generators': [40284726, 356995142748847, 357001369769641, 1307674368001], 'label': '387072.a.24192.bv3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.bv3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bv3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249024
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bv4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cr4', '12096.cr6', '12096.cr8', '12096.ct1', '12096.ct3', '12096.ct4', '12096.ct5', '12096.ct6', '12096.cu1', '12096.db2', '12096.db3', '12096.db4', '12096.dd1', '12096.dd2'], 'contains': ['48384.f3', '48384.f4', '48384.g1', '48384.g2', '48384.i1', '48384.i4', '48384.s1', '48384.u1', '48384.bd4', '48384.bf4', '48384.bf5', '48384.bm5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3695, -1, 7091, -1], 'generators': [40284726, 356995142385847, 357001329847801, 1307674368001], 'label': '387072.a.24192.bv4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.bv4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bv4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249025
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.s1', '12096.ct3', '12096.ct6', '12096.cu1', '12096.cu2', '12096.db1', '12096.db5', '12096.de1'], 'contains': ['48384.f2', '48384.f5', '48384.h1', '48384.u1', '48384.bg1', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2808, -1, 6236, -1], 'generators': [121, 357001369764486, 1307674368001, 356995102469160], 'label': '387072.a.24192.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.bw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bw1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249026
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cs1', '12096.ct2', '12096.ct1', '12096.ct4', '12096.ct5', '12096.cu1', '12096.cu2', '12096.db5', '12096.de1'], 'contains': ['48384.f6', '48384.f5', '48384.h1', '48384.u1', '48384.bg1', '48384.bg2', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3145, -1, 6894, -1], 'generators': [121, 356995142748847, 357001369764486, 1307674368001], 'label': '387072.a.24192.bw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.bw2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bw2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249027
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.t1', '8064.u1', '12096.cv1', '12096.cv2', '12096.cw1'], 'contains': ['48384.b1', '48384.d1', '48384.t1', '48384.v1', '48384.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1356, -1, 4675, -1], 'generators': [1307714284800, 754568475898297, 355693695401647, 356995102464000], 'label': '387072.a.24192.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '24192.bx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bx1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249028
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.v1', '8064.w1', '12096.cv1', '12096.cv2', '12096.cx1'], 'contains': ['48384.c1', '48384.e1', '48384.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1641, -1, 4720, -1], 'generators': [1108954417093057, 1307714284800, 355693695401647, 356995102464000], 'label': '387072.a.24192.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '24192.by1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.by1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249029
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.x1', '8064.y1', '8064.z1', '12096.cv1', '12096.da1', '12096.dd1'], 'contains': ['48384.a1', '48384.f1', '48384.s1', '48384.v1', '48384.bm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [1911, -1, 5155, -1], 'generators': [357001369769646, 121, 356995142385840, 1307674368001], 'label': '387072.a.24192.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '24192.bz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bz1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249030
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cv2', '12096.da1', '12096.da2', '12096.da3', '12096.da4', '12096.dd1', '12096.dd2'], 'contains': ['48384.a2', '48384.a3', '48384.f3', '48384.f4', '48384.s1', '48384.s2', '48384.v1', '48384.bm4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2858, -1, 6250, -1], 'generators': [357001369769646, 121, 356995142743680, 1307674368001], 'label': '387072.a.24192.bz2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.bz2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.bz2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249031
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.d1', '504.j1'], 'contains': ['2016.bo1', '2016.bq1', '2016.bs1', '3024.ck1', '4032.x1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4757, -1, 2204, -1], 'generators': [121, 1510611975959454, 6385615834383665, 39916927, 357001329484801, 356995102464000, 7, 1307674368001], 'label': '387072.a.1008.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '1008.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.bc1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249032
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.ba1', '12096.da4', '12096.db1', '12096.db4', '12096.db5', '12096.dd1', '12096.dd2', '12096.de1'], 'contains': ['48384.f5', '48384.g2', '48384.s2', '48384.u1', '48384.v1', '48384.bn1', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2756, -1, 6180, -1], 'generators': [357001369769646, 121, 1307674368001, 356995102469160], 'label': '387072.a.24192.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.ca1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ca1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249033
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ca2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cw1', '12096.cx1', '12096.cy1', '12096.cz1', '12096.da1', '12096.da2', '12096.da3', '12096.db2', '12096.db3', '12096.db4', '12096.db5', '12096.dd1', '12096.dd2', '12096.de1'], 'contains': ['48384.f2', '48384.f6', '48384.g1', '48384.g2', '48384.s1', '48384.s2', '48384.u1', '48384.v1', '48384.bn2', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2716, -1, 6194, -1], 'generators': [357001369769646, 121, 356995142743687, 1307674368001], 'label': '387072.a.24192.ca2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.ca2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ca2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249034
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bb1', '12096.dc1', '12096.dd1', '12096.dd2', '12096.de1'], 'contains': ['48384.h1', '48384.u1', '48384.v1', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [1834, -1, 5141, -1], 'generators': [357001369769646, 121, 356995142748847, 1307674368001], 'label': '387072.a.24192.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '24192.cb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cb1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249035
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.r1', '12096.cj1', '12096.df3', '12096.df1', '12096.dp2', '12096.dp1', '12096.ef1'], 'contains': ['48384.w1', '48384.x1', '48384.ba5', '48384.be1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2477, -1, 5235, -1], 'generators': [753266989002102, 121, 356995142380920, 357001329489961], 'label': '387072.a.24192.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249036
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s2', '12096.ci1', '12096.df4', '12096.dg1', '12096.dp2', '12096.dq1', '12096.ee1'], 'contains': ['48384.w1', '48384.y1', '48384.ba8', '48384.br2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [5197, -1, 7433, -1], 'generators': [121, 754574702919096, 355687468017841, 357001329489961], 'label': '387072.a.24192.cd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cd2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249037
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s1', '12096.ci2', '12096.df2', '12096.dg2', '12096.dp1', '12096.dq1', '12096.ee2'], 'contains': ['48384.w1', '48384.y1', '48384.ba2', '48384.br1', '48384.br2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [6619, -1, 7456, -1], 'generators': [753266989002223, 357001329852726, 1307714652720, 356995102464000], 'label': '387072.a.24192.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cd1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249038
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ce2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.v2', '12096.ci1', '12096.df4', '12096.dh1', '12096.dp2', '12096.dr1', '12096.ee1'], 'contains': ['48384.x1', '48384.z1', '48384.ba8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2943, -1, 6550, -1], 'generators': [121, 355687468017841, 1108948190077423, 357001329489961], 'label': '387072.a.24192.ce2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.ce1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ce2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249247
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bo1', '8064.bt1', '10752.a1', '16128.p1', '16128.u1', '16128.x1'], 'contains': ['96768.m1', '129024.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [6189, -1, 7118, -1], 'generators': [5041, 6227020801, 3378333013194655], 'label': '387072.a.32256.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '32256.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.m1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66249039
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.v1', '12096.ci2', '12096.df2', '12096.dh2', '12096.dp1', '12096.dr1', '12096.ee2'], 'contains': ['48384.x1', '48384.z1', '48384.ba2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2951, -1, 6569, -1], 'generators': [357001329852726, 754568475898297, 1307714652720, 356995102464000], 'label': '387072.a.24192.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.ce2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ce1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249040
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.w3', '12096.ck1', '12096.df3', '12096.df1', '12096.dp2', '12096.dp1', '12096.eh1'], 'contains': ['48384.y1', '48384.z1', '48384.ba5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3449, -1, 6693, -1], 'generators': [121, 754574702919096, 356995142380920, 357001329489961], 'label': '387072.a.24192.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cf1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249041
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.z1', '12096.ci2', '12096.df3', '12096.df4', '12096.ds2', '12096.ds3', '12096.dx4'], 'contains': ['48384.w1', '48384.z1', '48384.bc14', '48384.bs1', '48384.cd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2607, -1, 6452, -1], 'generators': [356995102831920, 121, 753266988997177, 357001329484806], 'label': '387072.a.24192.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249042
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1152.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '144.b1', '576.a1'], 'contains': ['2304.b1', '3456.a1', '8064.n1', '9216.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [3313, -1, 1699, -1], 'generators': [1864985502671568, 40284726, 4522159221737033, 355693695401647, 355687428459006, 5167], 'label': '387072.a.1152.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '1152.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.a1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249043
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.z2', '12096.ci1', '12096.df1', '12096.df2', '12096.ds1', '12096.ds3', '12096.dx2'], 'contains': ['48384.w1', '48384.z1', '48384.bc15', '48384.bs2', '48384.cd1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2669, -1, 6475, -1], 'generators': [355687428463926, 121, 1108948190077423, 357001329489961], 'label': '387072.a.24192.cg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cg2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249044
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bc1', '12096.ba1', '12096.cj1', '12096.dg1', '12096.dg2', '12096.ds1', '12096.ds2', '12096.dy1'], 'contains': ['48384.w1', '48384.bc1', '48384.bt1', '48384.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3005, -1, 6088, -1], 'generators': [753266989002102, 121, 356995102827007, 357001329489961], 'label': '387072.a.24192.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '24192.ch1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ch1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249045
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bd1', '12096.ci1', '12096.df1', '12096.df2', '12096.dt1', '12096.dt3', '12096.dx2'], 'contains': ['48384.x1', '48384.y1', '48384.bc15'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [5794, -1, 6842, -1], 'generators': [355687428463926, 121, 754574702919096, 357001329489961], 'label': '387072.a.24192.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.ci1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ci1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249046
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ci2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bd2', '12096.ci2', '12096.df3', '12096.df4', '12096.dt2', '12096.dt3', '12096.dx4'], 'contains': ['48384.x1', '48384.y1', '48384.bc14'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [5207, -1, 7478, -1], 'generators': [356995102831920, 121, 1110262131014983, 357001329484806], 'label': '387072.a.24192.ci2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.ci2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ci2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249047
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bd1', '12096.be1', '12096.cj1', '12096.dh1', '12096.dh2', '12096.dt1', '12096.dt2', '12096.dy1'], 'contains': ['48384.x1', '48384.bc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3545, -1, 6368, -1], 'generators': [121, 1110255903994177, 356995102827007, 357001329489961], 'label': '387072.a.24192.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '24192.cj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cj1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249048
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bf1', '12096.ck1', '12096.dg1', '12096.dg2', '12096.di1', '12096.di2', '12096.di3', '12096.di4', '12096.dt1', '12096.dt2', '12096.dv1', '12096.dv2', '12096.eb1'], 'contains': ['48384.y1', '48384.bc1', '48384.bu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8766, -1, 9456, -1], 'generators': [121, 754574702919096, 356995102827007, 357001329489961], 'label': '387072.a.24192.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '24192.ck1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ck1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249049
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bg1', '12096.ck1', '12096.dh1', '12096.dh2', '12096.di1', '12096.di2', '12096.di3', '12096.di4', '12096.ds1', '12096.ds2', '12096.dw2', '12096.dw3', '12096.eb1'], 'contains': ['48384.z1', '48384.bc1', '48384.bv1', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4347, -1, 7167, -1], 'generators': [121, 356995102827007, 1108948190077423, 357001329489961], 'label': '387072.a.24192.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '24192.cl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cl1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249050
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.be1', '12096.x6', '12096.x7', '12096.bh1', '12096.cl2', '12096.ec1', '12096.ei2'], 'contains': ['48384.ba1', '48384.ba9', '48384.bc1', '48384.bw8', '48384.bw9', '48384.cg1', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [7817, -1, 8180, -1], 'generators': [357001329852721, 40284721, 356995142743687, 1307674368001], 'label': '387072.a.24192.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.cm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cm1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249051
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.be2', '12096.x6', '12096.x7', '12096.bh2', '12096.cl1', '12096.ec1', '12096.ei4'], 'contains': ['48384.ba7', '48384.bc2', '48384.bw1', '48384.bw5', '48384.cg1', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [7896, -1, 8208, -1], 'generators': [356995102831920, 357001369764481, 40284726, 1307674368001], 'label': '387072.a.24192.cm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.cm2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cm2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249052
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cm3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.be3', '12096.x4', '12096.x5', '12096.bh2', '12096.cl3', '12096.ec1', '12096.ei3', '12096.ei5'], 'contains': ['48384.ba3', '48384.ba6', '48384.bc2', '48384.bw2', '48384.bw6', '48384.cg2', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [7667, -1, 8222, -1], 'generators': [357001369764481, 40284726, 356995142385840, 1307674368001], 'label': '387072.a.24192.cm3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.cm3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cm3', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249053
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1152.a2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '576.a1'], 'contains': ['2304.b1', '3456.a2', '8064.n2', '9216.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [3409, -1, 1611, -1], 'generators': [40279801, 1307714647686, 4523460669084233, 356995142380920, 1509304301954334, 357001329484806], 'label': '387072.a.1152.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '1152.a2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.a2', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249092
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.v3', '12096.cm1', '12096.cp1', '12096.dn1', '12096.ed1', '12096.eg1', '12096.ek1'], 'contains': ['48384.bf1', '48384.bj1', '48384.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2084, -1, 5524, -1], 'generators': [121, 1108948190072263, 357001369406641, 356995102464000], 'label': '387072.a.24192.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.ct2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ct1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249054
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cm5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x3', '12096.x4', '12096.x5', '12096.x8', '12096.x9', '12096.bh3', '12096.cl2', '12096.ec9', '12096.ei1', '12096.ei2', '12096.ei3', '12096.ei4'], 'contains': ['48384.ba2', '48384.ba1', '48384.ba4', '48384.ba5', '48384.ba9', '48384.bc14', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw7', '48384.bw8', '48384.bw5', '48384.cg2', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7708, -1, 8805, -1], 'generators': [40279806, 357001369401721, 356995142743680, 1307674368001], 'label': '387072.a.24192.cm5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cm4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cm5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249055
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cm6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x3', '12096.x6', '12096.x7', '12096.x8', '12096.x9', '12096.bh2', '12096.cl3', '12096.ec9', '12096.ei1', '12096.ei4', '12096.ei5'], 'contains': ['48384.ba4', '48384.ba6', '48384.ba7', '48384.ba8', '48384.ba9', '48384.bc13', '48384.bw2', '48384.bw1', '48384.bw4', '48384.bw6', '48384.cg2', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7661, -1, 8819, -1], 'generators': [356995102831920, 40284726, 357001369406641, 1307674368001], 'label': '387072.a.24192.cm6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cm5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cm6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249056
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cm4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x5', '12096.x6', '12096.x9', '12096.bh2', '12096.cl2', '12096.ec9', '12096.ei1', '12096.ei3', '12096.ei4'], 'contains': ['48384.ba2', '48384.ba1', '48384.ba3', '48384.ba5', '48384.bc13', '48384.bw2', '48384.bw1', '48384.bw3', '48384.bw5', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7578, -1, 8763, -1], 'generators': [40284726, 356995142743680, 357001369406641, 1307674368001], 'label': '387072.a.24192.cm4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cm6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cm4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249057
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cm7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x7', '12096.x8', '12096.x9', '12096.bh3', '12096.cl3', '12096.ec2', '12096.ei2', '12096.ei3', '12096.ei4', '12096.ei5'], 'contains': ['48384.ba4', '48384.ba3', '48384.ba6', '48384.ba7', '48384.ba9', '48384.bc15', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw7', '48384.bw5', '48384.bw9', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7953, -1, 8777, -1], 'generators': [357001329852721, 40284726, 356995142743680, 1307674368001], 'label': '387072.a.24192.cm7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cm7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cm7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249058
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.r1', '12096.co1', '12096.df4', '12096.df2', '12096.dx1', '12096.dx3', '12096.dy1'], 'contains': ['48384.w1', '48384.x1', '48384.bb1', '48384.bd1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2529, -1, 5259, -1], 'generators': [121, 356995142743687, 1110262131020136, 357001329489961], 'label': '387072.a.24192.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249059
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.co2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s2', '12096.cn2', '12096.df3', '12096.dg2', '12096.dx2', '12096.dx3', '12096.dz1'], 'contains': ['48384.w1', '48384.y1', '48384.bd3', '48384.bx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [5253, -1, 7598, -1], 'generators': [121, 754574702919096, 355687468380846, 357001329489961], 'label': '387072.a.24192.co2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.co1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.co2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249060
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s1', '12096.cn1', '12096.df1', '12096.dg1', '12096.dx1', '12096.dx4', '12096.dz1'], 'contains': ['48384.w1', '48384.y1', '48384.bd2', '48384.bx1', '48384.bx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [7245, -1, 9154, -1], 'generators': [121, 754568475898302, 355693695038647, 356995102827007], 'label': '387072.a.24192.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.co2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.co1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249061
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.v2', '12096.cn2', '12096.df3', '12096.dh2', '12096.dx2', '12096.dx3', '12096.ea1'], 'contains': ['48384.x1', '48384.z1', '48384.bd3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2980, -1, 6588, -1], 'generators': [121, 355687468380846, 1108948190077423, 357001329489961], 'label': '387072.a.24192.cp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cp2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249062
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.v1', '12096.cn1', '12096.df1', '12096.dh1', '12096.dx1', '12096.dx4', '12096.ea1'], 'contains': ['48384.x1', '48384.z1', '48384.bd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2960, -1, 6627, -1], 'generators': [121, 1110262131382903, 355693695038647, 356995102827007], 'label': '387072.a.24192.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cp1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249063
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.w3', '12096.cq1', '12096.df4', '12096.df2', '12096.dx1', '12096.dx3', '12096.eb1'], 'contains': ['48384.y1', '48384.z1', '48384.bd1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3466, -1, 7219, -1], 'generators': [121, 754574702919096, 356995142743687, 357001329489961], 'label': '387072.a.24192.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.cq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cq1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249064
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1152.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.b1'], 'contains': ['2304.c1', '3456.b1', '8064.q1', '9216.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1152, 'diagramx': [3252, -1, 77, -1], 'generators': [1509230704653942, 4877846649475073, 1864985503034449, 4124646725437009, 355693695401647, 6028620692002864], 'label': '387072.a.1152.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1152.b1', 'old_label': '1152.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.b1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249065
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3456.c1', '8064.bf1', '12096.bi2', '12096.cl1', '12096.ec1'], 'contains': ['48384.bc2', '48384.by1', '48384.cg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [7901, -1, 7236, -1], 'generators': [357001369764481, 40284726, 356995102827007, 1307674368001], 'label': '387072.a.24192.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.c1', 'old_label': '24192.cr1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr1', 'subgroup_fusion': None, 'weyl_group': '21.1'}
  • id: 66249066
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bf2', '12096.bi1', '12096.bi4', '12096.bi15', '12096.cl2', '12096.ec1', '12096.ec9'], 'contains': ['48384.bc1', '48384.bc13', '48384.bc14', '48384.by1', '48384.by11', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [7725, -1, 8363, -1], 'generators': [356995142380927, 40284726, 357001369406641, 1307674368001], 'label': '387072.a.24192.cr2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.cr2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249067
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bf3', '12096.bi2', '12096.bi3', '12096.bi15', '12096.cl3', '12096.ec1', '12096.ec2', '12096.ec9'], 'contains': ['48384.bc2', '48384.bc13', '48384.bc15', '48384.by1', '48384.by2', '48384.by11', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [7907, -1, 8862, -1], 'generators': [356995142380927, 357001369764481, 40284726, 1307674368001], 'label': '387072.a.24192.cr3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.cr3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr3', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249093
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bj1', '12096.cs1', '12096.dk1', '12096.dl1', '12096.dn2', '12096.dn1', '12096.ds3'], 'contains': ['48384.bg2', '48384.bi1', '48384.bk1', '48384.bs2', '48384.bs1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2122, -1, 5681, -1], 'generators': [356995102831927, 357001329847806, 121, 753260761618536], 'label': '387072.a.24192.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '24192.cu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cu1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66249068
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x6', '12096.bi2', '12096.bi7', '12096.bi10', '12096.bi13', '12096.cr9', '12096.ec2', '12096.ec4', '12096.ec8', '12096.ec9', '12096.ec11', '12096.ej1'], 'contains': ['48384.ba9', '48384.bc3', '48384.bc7', '48384.bc10', '48384.bc11', '48384.bc13', '48384.bd3', '48384.bw4', '48384.bw5', '48384.by1', '48384.by2', '48384.by6', '48384.by5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7980, -1, 9059, -1], 'generators': [40284726, 356995142748840, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249069
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x8', '12096.bi3', '12096.bi8', '12096.bi11', '12096.bi13', '12096.cr5', '12096.ec1', '12096.ec7', '12096.ec8', '12096.ec9', '12096.ec11', '12096.ej1'], 'contains': ['48384.ba9', '48384.bc4', '48384.bc3', '48384.bc6', '48384.bc14', '48384.bd1', '48384.bw1', '48384.bw6', '48384.by1', '48384.by2', '48384.by6', '48384.by5', '48384.by8', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8223, -1, 9129, -1], 'generators': [40279806, 356995142385847, 1307674368001, 357001329484806], 'label': '387072.a.24192.cr7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249070
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x7', '12096.bi2', '12096.bi5', '12096.bi7', '12096.bi10', '12096.cr7', '12096.ec5', '12096.ec7', '12096.ec8', '12096.ec9', '12096.ec10', '12096.ej1'], 'contains': ['48384.ba1', '48384.bc4', '48384.bc7', '48384.bc8', '48384.bc9', '48384.bc13', '48384.bd2', '48384.bw1', '48384.bw3', '48384.by1', '48384.by6', '48384.by5', '48384.by7', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8453, -1, 9087, -1], 'generators': [356995142380927, 40284726, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249071
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x9', '12096.bi8', '12096.bi9', '12096.bi11', '12096.bi15', '12096.cr5', '12096.ec1', '12096.ec4', '12096.ec5', '12096.ec9', '12096.ec10', '12096.ec11', '12096.ej1'], 'contains': ['48384.ba1', '48384.bc4', '48384.bc3', '48384.bc5', '48384.bc13', '48384.bd1', '48384.bw2', '48384.bw5', '48384.by1', '48384.by4', '48384.by5', '48384.by8', '48384.by9', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8671, -1, 9201, -1], 'generators': [40284726, 357001369406641, 356995102827000, 1307674368001], 'label': '387072.a.24192.cr5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249072
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x3', '12096.x4', '12096.bi3', '12096.bi5', '12096.bi6', '12096.bi7', '12096.bi12', '12096.cr7', '12096.ec3', '12096.ec8', '12096.ec9', '12096.ec10', '12096.ej1'], 'contains': ['48384.ba4', '48384.bc3', '48384.bc11', '48384.bc8', '48384.bc12', '48384.bc14', '48384.bd2', '48384.bw2', '48384.bw4', '48384.by2', '48384.by7', '48384.by8', '48384.by10', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8447, -1, 9359, -1], 'generators': [40279806, 356995142385847, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249073
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x3', '12096.x5', '12096.bi6', '12096.bi9', '12096.bi11', '12096.bi14', '12096.bi15', '12096.cr9', '12096.ec2', '12096.ec7', '12096.ec9', '12096.ec10', '12096.ec11', '12096.ej1'], 'contains': ['48384.ba4', '48384.bc4', '48384.bc10', '48384.bc9', '48384.bc12', '48384.bc13', '48384.bd3', '48384.bw3', '48384.bw6', '48384.by2', '48384.by4', '48384.by6', '48384.by8', '48384.by9', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8274, -1, 9101, -1], 'generators': [356995142380927, 40284726, 1307674368001, 357001329484806], 'label': '387072.a.24192.cr9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249074
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x6', '12096.bi9', '12096.bi10', '12096.bi12', '12096.bi13', '12096.bi15', '12096.cr4', '12096.ec1', '12096.ec2', '12096.ec10', '12096.ec11', '12096.ej4'], 'contains': ['48384.ba6', '48384.bc2', '48384.bc5', '48384.bc7', '48384.bc10', '48384.bd4', '48384.bw5', '48384.bw9', '48384.by2', '48384.by4', '48384.by5', '48384.by8', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8373, -1, 9002, -1], 'generators': [40284726, 356995102827007, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr10', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249075
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1152.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.c1', '576.a1'], 'contains': ['2304.b1', '3456.c1', '8064.bf1', '9216.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [4655, -1, 1549, -1], 'generators': [40279801, 356995142385847, 1509304301954334, 357001329489961, 4879154363759878, 1307714652841], 'label': '387072.a.1152.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '1152.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.c1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249076
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x9', '12096.bi4', '12096.bi6', '12096.bi8', '12096.bi9', '12096.bi12', '12096.cr6', '12096.ec2', '12096.ec5', '12096.ec6', '12096.ec8', '12096.ec9', '12096.ej3'], 'contains': ['48384.ba3', '48384.bc3', '48384.bc5', '48384.bc8', '48384.bc9', '48384.bc15', '48384.bd4', '48384.bw4', '48384.bw7', '48384.by3', '48384.by6', '48384.by8', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8614, -1, 9244, -1], 'generators': [40284726, 356995102827000, 1307674368001, 357001329484806], 'label': '387072.a.24192.cr11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249077
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr12', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.bi3', '12096.bi5', '12096.bi10', '12096.cr1', '12096.df1', '12096.ec5', '12096.ec9', '12096.ec10', '12096.ej2'], 'contains': ['48384.ba5', '48384.bc5', '48384.bc7', '48384.bc15', '48384.bd2', '48384.bw6', '48384.by5', '48384.by7', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8280, -1, 8960, -1], 'generators': [40284726, 356995102469167, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr12', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cr12', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr12', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249078
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr13', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.x7', '12096.bi5', '12096.bi6', '12096.bi10', '12096.bi14', '12096.bi15', '12096.cr8', '12096.ec1', '12096.ec6', '12096.ec9', '12096.ec10', '12096.ec11', '12096.ej3'], 'contains': ['48384.ba3', '48384.bc2', '48384.bc5', '48384.bc7', '48384.bc9', '48384.bd4', '48384.bw1', '48384.bw8', '48384.by6', '48384.by8', '48384.by10', '48384.by9', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8590, -1, 9187, -1], 'generators': [40284726, 356995102827000, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr13', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr13', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr13', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249079
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr14', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.x8', '12096.bi5', '12096.bi8', '12096.bi13', '12096.bi14', '12096.bi15', '12096.cr6', '12096.ec2', '12096.ec4', '12096.ec7', '12096.ec8', '12096.ec9', '12096.ec10', '12096.ej4'], 'contains': ['48384.ba6', '48384.bc4', '48384.bc6', '48384.bc11', '48384.bc8', '48384.bc13', '48384.bd4', '48384.bw3', '48384.bw7', '48384.by2', '48384.by6', '48384.by5', '48384.by9', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8642, -1, 9215, -1], 'generators': [40284726, 357001369401726, 356995142385840, 1307674368001], 'label': '387072.a.24192.cr14', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr14', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr14', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249080
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr15', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.bi4', '12096.bi8', '12096.bi9', '12096.cr2', '12096.df3', '12096.ec8', '12096.ec9', '12096.ec10', '12096.ej2'], 'contains': ['48384.ba5', '48384.bc4', '48384.bc8', '48384.bc14', '48384.bd3', '48384.bw2', '48384.by5', '48384.by8', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8478, -1, 9173, -1], 'generators': [40279806, 357001369401721, 356995142748840, 1307674368001], 'label': '387072.a.24192.cr15', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cr15', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr15', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249081
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr16', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x6', '12096.x9', '12096.bi7', '12096.bi12', '12096.bi14', '12096.bi15', '12096.cr8', '12096.ec1', '12096.ec4', '12096.ec7', '12096.ec8', '12096.ec9', '12096.ec11', '12096.ej2'], 'contains': ['48384.ba7', '48384.bc6', '48384.bc11', '48384.bc12', '48384.bc13', '48384.bd4', '48384.bw2', '48384.bw8', '48384.by1', '48384.by4', '48384.by6', '48384.by5', '48384.by10', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8441, -1, 9272, -1], 'generators': [357001329489966, 356995142380927, 40284726, 1307674368001], 'label': '387072.a.24192.cr16', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr16', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr16', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249082
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr17', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x6', '12096.bi1', '12096.bi8', '12096.bi11', '12096.cr2', '12096.dg2', '12096.dh2', '12096.di3', '12096.di4', '12096.ec3', '12096.ec6', '12096.ec7', '12096.ec9', '12096.ej3'], 'contains': ['48384.ba2', '48384.bc1', '48384.bc3', '48384.bc8', '48384.bd3', '48384.bw1', '48384.by3', '48384.by10', '48384.by9', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8752, -1, 9286, -1], 'generators': [40279806, 356995102469167, 1307674368001, 357001329484806], 'label': '387072.a.24192.cr17', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cr17', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr17', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249083
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr18', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x7', '12096.x8', '12096.bi4', '12096.bi11', '12096.bi12', '12096.bi14', '12096.cr4', '12096.ec1', '12096.ec2', '12096.ec5', '12096.ec8', '12096.ec10', '12096.ec11', '12096.ej2'], 'contains': ['48384.ba7', '48384.bc6', '48384.bc10', '48384.bc12', '48384.bc15', '48384.bd4', '48384.bw6', '48384.bw9', '48384.by1', '48384.by5', '48384.by8', '48384.by9', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8351, -1, 9073, -1], 'generators': [356995102831920, 357001329489966, 40284726, 1307674368001], 'label': '387072.a.24192.cr18', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cr18', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr18', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249084
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr19', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x7', '12096.bi1', '12096.bi6', '12096.bi12', '12096.cr1', '12096.dg1', '12096.dh1', '12096.di1', '12096.di2', '12096.ec3', '12096.ec5', '12096.ec7', '12096.ec9', '12096.ej4'], 'contains': ['48384.ba8', '48384.bc1', '48384.bc6', '48384.bc12', '48384.bd2', '48384.bw5', '48384.by3', '48384.by7', '48384.by9', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8725, -1, 9373, -1], 'generators': [40279806, 356995102469167, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr19', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cr19', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr19', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249085
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr20', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x8', '12096.bi3', '12096.bi7', '12096.bi10', '12096.cr3', '12096.df2', '12096.ec6', '12096.ec9', '12096.ec11', '12096.ej3'], 'contains': ['48384.ba2', '48384.bc7', '48384.bc9', '48384.bc15', '48384.bd1', '48384.bw4', '48384.by6', '48384.by10', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7998, -1, 9030, -1], 'generators': [356995142380920, 40284726, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr20', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cr20', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr20', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249086
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '72.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1'], 'contains': ['144.c1', '216.b1', '504.k1', '4608.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4619, -1, 1760, -1], 'generators': [2280570248310191, 6031369810384703, 1111724395097032, 357001369769646, 5167, 40284847, 1307674368001, 356995142748847, 121, 363000], 'label': '387072.a.72.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '72.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': '5376.bi'}
  • id: 66249087
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1344.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['84.a1'], 'contains': ['2688.a1', '2688.b1', '2688.c1', '4032.p1', '4032.q1', '5376.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5223, -1, 1180, -1], 'generators': [6035513869768025, 357001369769646, 8369504248326, 6038250011902656, 355687428096001, 39921966, 39916927], 'label': '387072.a.1344.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '1344.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249088
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cr21', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x9', '12096.bi4', '12096.bi6', '12096.bi14', '12096.cr3', '12096.df4', '12096.ec8', '12096.ec9', '12096.ec11', '12096.ej4'], 'contains': ['48384.ba8', '48384.bc11', '48384.bc12', '48384.bc14', '48384.bd1', '48384.bw3', '48384.by6', '48384.by8', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7627, -1, 9045, -1], 'generators': [40279806, 356995142385840, 357001369764486, 1307674368001], 'label': '387072.a.24192.cr21', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cr21', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cr21', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249089
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cs2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.r1', '12096.cm2', '12096.co1', '12096.dn2', '12096.ed2', '12096.ef1', '12096.ek1'], 'contains': ['48384.bb1', '48384.be1', '48384.bf2', '48384.bi1', '48384.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1748, -1, 5056, -1], 'generators': [121, 356995142380920, 357001369406641, 1110255864440383], 'label': '387072.a.24192.cs2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.cs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cs2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249090
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.r1', '12096.cm1', '12096.co1', '12096.dn1', '12096.ed1', '12096.ef1', '12096.ek1'], 'contains': ['48384.bb1', '48384.be1', '48384.bf1', '48384.bi1', '48384.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1697, -1, 5033, -1], 'generators': [121, 753260761976383, 357001369406641, 356995102464000], 'label': '387072.a.24192.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.cs2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cs1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249091
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ct2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.v3', '12096.cm2', '12096.cp2', '12096.dn2', '12096.ed2', '12096.eg2', '12096.ek1'], 'contains': ['48384.bf2', '48384.bj1', '48384.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2110, -1, 5543, -1], 'generators': [1110262131014976, 121, 356995142380920, 357001369406641], 'label': '387072.a.24192.ct2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.ct1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ct2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249094
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cu3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bj1', '12096.dj2', '12096.dl1', '12096.do6', '12096.do1', '12096.do2', '12096.ds2'], 'contains': ['48384.bg2', '48384.bh2', '48384.bs1', '48384.bt1', '48384.bv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3153, -1, 6283, -1], 'generators': [357001329852726, 355687428096001, 1307674368120, 1108948190072382], 'label': '387072.a.24192.cu3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '24192.cu2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cu3', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66249095
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bj1', '12096.dj1', '12096.dl1', '12096.do4', '12096.do5', '12096.do3', '12096.ds1'], 'contains': ['48384.bg2', '48384.bh1', '48384.bs2', '48384.bt1', '48384.bv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3134, -1, 6307, -1], 'generators': [357001329852726, 5041, 753260761613376, 356995102827007], 'label': '387072.a.24192.cu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '24192.cu3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cu2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66249096
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bl1', '12096.cs1', '12096.dj2', '12096.dj1', '12096.dn2', '12096.dn1', '12096.du1'], 'contains': ['48384.bg2', '48384.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2134, -1, 5922, -1], 'generators': [356995102831927, 357001329847806, 1110262131014976, 121], 'label': '387072.a.24192.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '24192.cv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cv1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66249097
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bm1', '12096.dj2', '12096.dk1', '12096.do4', '12096.do5', '12096.do3', '12096.dv1'], 'contains': ['48384.bg2', '48384.bu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7914, -1, 9317, -1], 'generators': [357001329852726, 5041, 754574702919103, 356995102827007], 'label': '387072.a.24192.cw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '24192.cw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cw2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66249098
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1344.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.a1', '672.a1'], 'contains': ['2688.d1', '4032.r1', '4032.s1', '4032.t1', '4032.u1', '5376.a1', '5376.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5153, -1, 1219, -1], 'generators': [1307714652846, 6036942337539703, 39921966, 39916927, 365364607080360, 357001329484801, 356995142748847], 'label': '387072.a.1344.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '1344.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.b1', 'subgroup_fusion': None, 'weyl_group': '144.184'}
  • id: 66249099
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bm1', '12096.dj1', '12096.dk1', '12096.do6', '12096.do1', '12096.do2', '12096.dv2'], 'contains': ['48384.bg2', '48384.bu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7924, -1, 9336, -1], 'generators': [357001329852726, 355687428096001, 1307674368120, 754574702919103], 'label': '387072.a.24192.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '24192.cw2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cw1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66249100
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x7', '12096.bi10', '12096.bi11', '12096.bn3', '12096.cr4', '12096.cr5', '12096.ec7', '12096.ec10', '12096.ei3', '12096.ei4', '12096.ei5', '12096.es2', '12096.es6'], 'contains': ['48384.ba1', '48384.ba4', '48384.ba6', '48384.ba7', '48384.bc4', '48384.bc6', '48384.bc7', '48384.bc10', '48384.bf1', '48384.bf4', '48384.bl1', '48384.bw1', '48384.bw6', '48384.bw5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6357, -1, 8264, -1], 'generators': [356995102831927, 40284726, 357001369764486, 1307674368001], 'label': '387072.a.24192.cx3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249101
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x9', '12096.bi7', '12096.bi8', '12096.bn3', '12096.cr5', '12096.cr6', '12096.ec3', '12096.ec11', '12096.ei1', '12096.ei4', '12096.ei5', '12096.es2', '12096.es6'], 'contains': ['48384.ba2', '48384.ba4', '48384.ba8', '48384.bc3', '48384.bc6', '48384.bc11', '48384.bf2', '48384.bf4', '48384.bl1', '48384.bw2', '48384.bw1', '48384.bw4', '48384.bw5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6258, -1, 8348, -1], 'generators': [40279806, 356995142743680, 1307674368001, 357001329484806], 'label': '387072.a.24192.cx4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249102
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x4', '12096.bi5', '12096.bi13', '12096.bn3', '12096.cr5', '12096.cr9', '12096.ec6', '12096.ei1', '12096.ei3', '12096.ei4', '12096.ei5', '12096.es1', '12096.es2'], 'contains': ['48384.ba2', '48384.ba3', '48384.bc3', '48384.bc5', '48384.bc7', '48384.bc9', '48384.bf1', '48384.bf3', '48384.bl2', '48384.bw1', '48384.bw4', '48384.bw7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6993, -1, 8482, -1], 'generators': [40284726, 356995142743680, 357001369764486, 1307674368001], 'label': '387072.a.24192.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249103
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x5', '12096.bi9', '12096.bi13', '12096.bn1', '12096.cr2', '12096.cr5', '12096.ec5', '12096.ec10', '12096.ei2', '12096.ei3', '12096.ei4', '12096.es2', '12096.es6'], 'contains': ['48384.ba1', '48384.ba3', '48384.ba5', '48384.bc4', '48384.bc5', '48384.bc8', '48384.bf2', '48384.bf3', '48384.bl2', '48384.bw6', '48384.bw5', '48384.bw9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6423, -1, 8137, -1], 'generators': [357001329852726, 40284726, 356995142743680, 1307674368001], 'label': '387072.a.24192.cx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249104
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x3', '12096.x6', '12096.bi8', '12096.bi14', '12096.bn3', '12096.cr2', '12096.cr4', '12096.ec5', '12096.ec8', '12096.ei1', '12096.ei3', '12096.ei4', '12096.ei5', '12096.es2', '12096.es5'], 'contains': ['48384.ba1', '48384.ba7', '48384.ba8', '48384.ba5', '48384.bc3', '48384.bc10', '48384.bc8', '48384.bc12', '48384.bf4', '48384.bf3', '48384.bl3', '48384.bw2', '48384.bw1', '48384.bw6', '48384.bw7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6429, -1, 8334, -1], 'generators': [40284726, 356995102464007, 1307674368001, 357001369406646], 'label': '387072.a.24192.cx5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249105
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x3', '12096.x8', '12096.bi10', '12096.bi12', '12096.bn2', '12096.cr6', '12096.cr9', '12096.ec8', '12096.ec11', '12096.ei2', '12096.ei5', '12096.es2', '12096.es6'], 'contains': ['48384.ba4', '48384.ba6', '48384.ba9', '48384.bc4', '48384.bc11', '48384.bc9', '48384.bc12', '48384.bf4', '48384.bf3', '48384.bl3', '48384.bw4', '48384.bw6', '48384.bw9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6793, -1, 8320, -1], 'generators': [40284726, 356995142385840, 1307674368001, 357001329484806], 'label': '387072.a.24192.cx6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249117
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx17', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x9', '12096.bi14', '12096.bn2', '12096.cr1', '12096.dm3', '12096.ec10', '12096.ei2', '12096.ei3', '12096.es3', '12096.es5'], 'contains': ['48384.ba6', '48384.ba5', '48384.bc5', '48384.bc12', '48384.bf6', '48384.bl1', '48384.bw3', '48384.bw8', '48384.bw9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6228, -1, 8425, -1], 'generators': [357001329852726, 40284726, 356995142385840, 1307674368001], 'label': '387072.a.24192.cx17', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cx17', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx17', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249106
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x6', '12096.bi5', '12096.bi11', '12096.bn3', '12096.cr8', '12096.cr9', '12096.ec8', '12096.ec11', '12096.ei1', '12096.ei3', '12096.ei4', '12096.ei5', '12096.es4', '12096.es6'], 'contains': ['48384.ba4', '48384.ba3', '48384.ba7', '48384.ba9', '48384.bc3', '48384.bc7', '48384.bc10', '48384.bc11', '48384.bf3', '48384.bf5', '48384.bl4', '48384.bw2', '48384.bw1', '48384.bw3', '48384.bw6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6900, -1, 8306, -1], 'generators': [356995102831920, 40284726, 357001369764486, 1307674368001], 'label': '387072.a.24192.cx7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249107
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.x7', '12096.bi9', '12096.bi12', '12096.bn3', '12096.cr3', '12096.cr4', '12096.ec4', '12096.ec10', '12096.ei3', '12096.ei4', '12096.ei5', '12096.es4', '12096.es5'], 'contains': ['48384.ba1', '48384.ba6', '48384.ba7', '48384.bc5', '48384.bc7', '48384.bc10', '48384.bc12', '48384.bf1', '48384.bf5', '48384.bl4', '48384.bw2', '48384.bw7', '48384.bw5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6812, -1, 8292, -1], 'generators': [40284726, 356995142385840, 357001369764486, 1307674368001], 'label': '387072.a.24192.cx8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249108
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x4', '12096.bi11', '12096.bn1', '12096.cr6', '12096.dm1', '12096.ec10', '12096.ei2', '12096.ei5', '12096.es3', '12096.es5'], 'contains': ['48384.ba4', '48384.ba6', '48384.bc5', '48384.bc8', '48384.bf5', '48384.bl2', '48384.bw6', '48384.bw9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6669, -1, 8081, -1], 'generators': [357001329852726, 40284726, 356995142385847, 1307674368001], 'label': '387072.a.24192.cx9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cx9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx9', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249109
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1344.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.c1', '672.e1'], 'contains': ['2688.d1', '4032.bf1', '4032.bg1', '21504.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5292, -1, 2379, -1], 'generators': [8375691715200, 6389887356916265, 6227383806, 1307674731006, 6392629765635816, 126, 39916920], 'label': '387072.a.1344.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.e1', 'old_label': '1344.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.c1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249110
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.x8', '12096.bi7', '12096.bi9', '12096.bn3', '12096.cr1', '12096.cr9', '12096.ec8', '12096.ec10', '12096.ei1', '12096.ei3', '12096.ei5', '12096.es4', '12096.es6'], 'contains': ['48384.ba4', '48384.ba3', '48384.ba6', '48384.ba5', '48384.bc4', '48384.bc6', '48384.bc7', '48384.bc10', '48384.bf3', '48384.bf6', '48384.bl4', '48384.bw2', '48384.bw4', '48384.bw3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5998, -1, 8236, -1], 'generators': [40284726, 356995102464007, 357001369764486, 1307674368001], 'label': '387072.a.24192.cx10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx10', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249111
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.x9', '12096.bi5', '12096.bi14', '12096.bn2', '12096.cr3', '12096.cr7', '12096.ec7', '12096.ec11', '12096.ei1', '12096.ei2', '12096.ei3', '12096.es4', '12096.es6'], 'contains': ['48384.ba2', '48384.ba1', '48384.ba6', '48384.ba9', '48384.bc4', '48384.bc11', '48384.bc9', '48384.bc12', '48384.bf2', '48384.bf6', '48384.bl4', '48384.bw3', '48384.bw6', '48384.bw8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6441, -1, 8250, -1], 'generators': [356995142743687, 40284726, 1307674368001, 357001329484806], 'label': '387072.a.24192.cx11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249112
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx12', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x5', '12096.bi7', '12096.bn2', '12096.cr7', '12096.dm2', '12096.ec6', '12096.ei1', '12096.ei2', '12096.es1', '12096.es3'], 'contains': ['48384.ba2', '48384.ba3', '48384.bc8', '48384.bc9', '48384.bf6', '48384.bl2', '48384.bw4', '48384.bw8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6729, -1, 8411, -1], 'generators': [40284726, 356995142743680, 1307674368001, 357001329484806], 'label': '387072.a.24192.cx12', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cx12', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx12', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249113
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx13', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x6', '12096.x8', '12096.bi6', '12096.bi13', '12096.bn3', '12096.cr4', '12096.cr7', '12096.ec5', '12096.ec11', '12096.ei1', '12096.ei3', '12096.ei4', '12096.ei5', '12096.es3', '12096.es6'], 'contains': ['48384.ba1', '48384.ba3', '48384.ba7', '48384.ba8', '48384.bc3', '48384.bc6', '48384.bc7', '48384.bc10', '48384.bf5', '48384.bf6', '48384.bl3', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6434, -1, 8278, -1], 'generators': [40284726, 356995142385847, 357001369764486, 1307674368001], 'label': '387072.a.24192.cx13', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx13', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx13', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249114
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx14', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x6', '12096.x9', '12096.bi6', '12096.bi10', '12096.bn2', '12096.cr7', '12096.cr8', '12096.ec4', '12096.ec8', '12096.ei1', '12096.ei2', '12096.ei4', '12096.es4', '12096.es6'], 'contains': ['48384.ba1', '48384.ba7', '48384.ba9', '48384.bc5', '48384.bc11', '48384.bc8', '48384.bf4', '48384.bf6', '48384.bl4', '48384.bw4', '48384.bw3', '48384.bw8', '48384.bw5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7175, -1, 8580, -1], 'generators': [357001329852726, 356995142743687, 40284726, 1307674368001], 'label': '387072.a.24192.cx14', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx14', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx14', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249115
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx15', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x7', '12096.x8', '12096.bi6', '12096.bi8', '12096.bn3', '12096.cr6', '12096.cr8', '12096.ec7', '12096.ec8', '12096.ei1', '12096.ei4', '12096.ei5', '12096.es4', '12096.es5'], 'contains': ['48384.ba4', '48384.ba7', '48384.ba8', '48384.ba9', '48384.bc6', '48384.bc8', '48384.bc9', '48384.bf4', '48384.bf5', '48384.bl4', '48384.bw2', '48384.bw1', '48384.bw3', '48384.bw7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7181, -1, 8622, -1], 'generators': [356995102831920, 40284726, 1307674368001, 357001329484806], 'label': '387072.a.24192.cx15', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cx15', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx15', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249116
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cx16', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x7', '12096.bi12', '12096.bn2', '12096.cr8', '12096.dm4', '12096.ec11', '12096.ei2', '12096.ei4', '12096.es3', '12096.es5'], 'contains': ['48384.ba7', '48384.ba9', '48384.bc9', '48384.bc12', '48384.bf5', '48384.bl1', '48384.bw8', '48384.bw5', '48384.bw9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6987, -1, 8453, -1], 'generators': [40284726, 356995142385847, 1307674368001, 357001329484806], 'label': '387072.a.24192.cx16', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cx16', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cx16', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249245
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bm1', '8064.br1', '10752.a1', '16128.n1', '16128.r1', '16128.w1'], 'contains': ['64512.b1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [6125, -1, 1312, -1], 'generators': [1864991769604129, 367920, 1307674730880], 'label': '387072.a.32256.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '32256.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.k1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249118
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi5', '12096.bi12', '12096.bo2', '12096.ct3', '12096.ct4', '12096.ec5', '12096.ec8', '12096.ec10', '12096.ej1', '12096.ej2', '12096.ej4'], 'contains': ['48384.bc4', '48384.bc5', '48384.bc10', '48384.bc12', '48384.bd2', '48384.bd4', '48384.bf3', '48384.bf5', '48384.bg1', '48384.by5', '48384.by7', '48384.by8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7187, -1, 8932, -1], 'generators': [357001329489966, 40284726, 356995102827000, 1307674368001], 'label': '387072.a.24192.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cy1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249119
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi5', '12096.bo1', '12096.ct2', '12096.dn2', '12096.do5', '12096.do2', '12096.ec3', '12096.ec5', '12096.ej1'], 'contains': ['48384.bc3', '48384.bd2', '48384.bf2', '48384.bg2', '48384.by7', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [6447, -1, 9016, -1], 'generators': [40279806, 356995142380927, 1307674368001, 357001369406646], 'label': '387072.a.24192.cy2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '24192.cy2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249120
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1344.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.a1', '672.a1', '672.e1', '672.f1'], 'contains': ['2688.d1', '4032.bj1', '4032.bk1', '4032.bl1', '5376.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5190, -1, 1399, -1], 'generators': [8375691352321, 367920, 362881, 6393931172698176, 357001329484801, 356995102464000, 1307674368001], 'label': '387072.a.1344.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '1344.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.d1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249121
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi6', '12096.bi7', '12096.bi10', '12096.bo2', '12096.ct2', '12096.ct3', '12096.ec5', '12096.ec7', '12096.ec8', '12096.ec10', '12096.ej1', '12096.ej4'], 'contains': ['48384.bc4', '48384.bc6', '48384.bc10', '48384.bc8', '48384.bd1', '48384.bd2', '48384.bd4', '48384.bf4', '48384.bf6', '48384.bg1', '48384.by4', '48384.by6', '48384.by7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7394, -1, 8974, -1], 'generators': [357001329489966, 40284726, 356995142748840, 1307674368001], 'label': '387072.a.24192.cy3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cy3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249122
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi6', '12096.bi10', '12096.bo1', '12096.ct4', '12096.do6', '12096.ec3', '12096.ec7', '12096.ec8', '12096.ej1', '12096.ej2'], 'contains': ['48384.bc6', '48384.bc11', '48384.bd3', '48384.bd2', '48384.bf4', '48384.bg2', '48384.by7', '48384.by8', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7639, -1, 9258, -1], 'generators': [356995102831920, 40279806, 1307674368001, 357001369406646], 'label': '387072.a.24192.cy4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cy4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249123
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi6', '12096.bi11', '12096.bi13', '12096.bi14', '12096.bo2', '12096.ct3', '12096.ct5', '12096.ec4', '12096.ec6', '12096.ec10', '12096.ej1', '12096.ej2', '12096.ej3'], 'contains': ['48384.bc5', '48384.bc7', '48384.bc8', '48384.bd3', '48384.bd4', '48384.bf1', '48384.bf6', '48384.bg1', '48384.by6', '48384.by8', '48384.by10', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7942, -1, 8988, -1], 'generators': [357001329489966, 356995142743687, 40284726, 1307674368001], 'label': '387072.a.24192.cy5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cy5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249124
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi7', '12096.bi8', '12096.bi13', '12096.bi14', '12096.bo2', '12096.ct4', '12096.ct6', '12096.ec6', '12096.ec8', '12096.ec11', '12096.ej1', '12096.ej3'], 'contains': ['48384.bc3', '48384.bc9', '48384.bd1', '48384.bd3', '48384.bd4', '48384.bf3', '48384.bf6', '48384.bg1', '48384.by6', '48384.by8', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6020, -1, 8946, -1], 'generators': [357001329489966, 356995142380920, 40284726, 1307674368001], 'label': '387072.a.24192.cy6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cy6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249125
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi8', '12096.bi9', '12096.bi13', '12096.bo2', '12096.ct5', '12096.ct6', '12096.ec7', '12096.ec10', '12096.ec11', '12096.ej1', '12096.ej2', '12096.ej4'], 'contains': ['48384.bc4', '48384.bc6', '48384.bc7', '48384.bc12', '48384.bd1', '48384.bd3', '48384.bd4', '48384.bf2', '48384.bf5', '48384.bg1', '48384.by4', '48384.by5', '48384.by8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6735, -1, 8904, -1], 'generators': [40284726, 356995142385847, 357001369401726, 1307674368001], 'label': '387072.a.24192.cy7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cy7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249126
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi8', '12096.bi10', '12096.bi11', '12096.bi14', '12096.bo2', '12096.ct1', '12096.ct6', '12096.ec4', '12096.ec8', '12096.ec11', '12096.ej1', '12096.ej2', '12096.ej4'], 'contains': ['48384.bc10', '48384.bc11', '48384.bc12', '48384.bd1', '48384.bd3', '48384.bd4', '48384.bf4', '48384.bf5', '48384.bg1', '48384.by6', '48384.by5', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6311, -1, 8918, -1], 'generators': [357001329489966, 40284726, 356995142385847, 1307674368001], 'label': '387072.a.24192.cy8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.cy8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249127
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi9', '12096.bi11', '12096.bo1', '12096.ct5', '12096.do3', '12096.ec5', '12096.ec6', '12096.ec8', '12096.ej3', '12096.ej4'], 'contains': ['48384.bc7', '48384.bc8', '48384.bd1', '48384.bd4', '48384.bf3', '48384.bg2', '48384.by3', '48384.by8', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8429, -1, 9115, -1], 'generators': [357001329489966, 40284726, 356995102464007, 1307674368001], 'label': '387072.a.24192.cy9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.cy9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy9', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249128
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cy10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi12', '12096.bo1', '12096.ct1', '12096.dn1', '12096.do4', '12096.do1', '12096.ec6', '12096.ec7', '12096.ej3'], 'contains': ['48384.bc9', '48384.bd4', '48384.bf1', '48384.bg2', '48384.by3', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [8424, -1, 9229, -1], 'generators': [356995102831927, 357001329489966, 40284726, 1307674368001], 'label': '387072.a.24192.cy10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '24192.cy10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cy10', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249129
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.e2', '12096.dl1', '12096.em1'], 'contains': ['48384.bh2', '48384.bh1', '48384.bk1', '48384.bz1', '48384.ca1', '48384.cc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2020, -1, 5285, -1], 'generators': [121, 754568436344263, 356995102464000, 4540245191228302], 'label': '387072.a.24192.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.bf1', 'old_label': '24192.cz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.cz1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249130
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.g1', '12096.dl1', '12096.em1'], 'contains': ['48384.bh2', '48384.bh1', '48384.bi1', '48384.bz1', '48384.ca1', '48384.cb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [1962, -1, 4699, -1], 'generators': [121, 356995102464000, 1110255864440383, 4540245191228302], 'label': '387072.a.24192.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.bf1', 'old_label': '24192.da1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.da1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249131
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': ['256.a1'], 'conjugacy_class_count': 1, 'contained_in': ['216.c1', '504.l1', '504.m1', '756.g1'], 'contains': ['3024.bg1', '3024.bw1', '3024.cg1', '3024.ci1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4823, 9114, 6708, 7127], 'generators': [357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7, 363000], 'label': '387072.a.1512.a1', 'mobius_quo': -1, 'mobius_sub': 504, 'normal_closure': '1512.a1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['387072.a1'], 'normalizer': '1.a1', 'old_label': '1512.a1', 'projective_image': '387072.a', 'quotient_action_image': '1512.779', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '1512.a1', 'subgroup_fusion': None, 'weyl_group': '1512.779'}
  • id: 66249132
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.db2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.l2', '12096.dm1', '12096.dm2', '12096.ds1', '12096.en1', '12096.en2', '12096.eo1'], 'contains': ['48384.bh1', '48384.bl2', '48384.cd1', '48384.ce1', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2895, -1, 5967, -1], 'generators': [753266988997182, 5041, 357001329484801, 356995102469160], 'label': '387072.a.24192.db2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '24192.db1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.db2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249133
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.l1', '12096.dm4', '12096.dm3', '12096.ds2', '12096.en2', '12096.eo1'], 'contains': ['48384.bh2', '48384.bl1', '48384.cd2', '48384.ce1', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2260, -1, 5944, -1], 'generators': [753260761976383, 355687428096001, 1307674368120, 355693655121960], 'label': '387072.a.24192.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '24192.db2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.db1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249134
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.db3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.l3', '12096.cm2', '12096.cm1', '12096.ds3', '12096.ed2', '12096.ed1', '12096.eo1'], 'contains': ['48384.bi1', '48384.bk1', '48384.bl3', '48384.cd1', '48384.cd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2101, -1, 5445, -1], 'generators': [121, 753266988997182, 357001329484801, 356995102469160], 'label': '387072.a.24192.db3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.db3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.db3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249135
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.o1', '12096.cm2', '12096.cm1', '12096.du1', '12096.ed2', '12096.ed1', '12096.eq1'], 'contains': ['48384.bj1', '48384.bl3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2092, -1, 5485, -1], 'generators': [1110262131014976, 121, 357001329484801, 356995102469160], 'label': '387072.a.24192.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.dc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249136
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.q4', '12096.dm1', '12096.dm2', '12096.dw2', '12096.en1', '12096.en2', '12096.er1'], 'contains': ['48384.bl2', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3223, -1, 6391, -1], 'generators': [1108954417093062, 5041, 357001329484801, 356995102469160], 'label': '387072.a.24192.dd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '24192.dd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dd2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249137
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.q3', '12096.dm4', '12096.dm3', '12096.dw3', '12096.en2', '12096.er1'], 'contains': ['48384.bl1', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2932, -1, 6105, -1], 'generators': [753266988997182, 355687428096001, 1307674368120, 355693655121960], 'label': '387072.a.24192.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '24192.dd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dd1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249138
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bh1', '12096.z2', '12096.cn2', '12096.dp1', '12096.ds2', '12096.dx1', '12096.ee1', '12096.eo1'], 'contains': ['48384.w1', '48384.z1', '48384.bh2', '48384.bm3', '48384.cd1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2354, -1, 6127, -1], 'generators': [121, 355687428101161, 1108948190077423, 357001329489961], 'label': '387072.a.24192.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.de1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.de1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249139
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.de2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.z1', '12096.cn1', '12096.dp2', '12096.ds1', '12096.dx3', '12096.ee2', '12096.eo1'], 'contains': ['48384.w1', '48384.z1', '48384.bh1', '48384.bm5', '48384.cd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2461, -1, 6343, -1], 'generators': [753266989002102, 5041, 356995102464000, 357001329489961], 'label': '387072.a.24192.de2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.de2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.de2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249140
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bg1', '12096.ba1', '12096.co1', '12096.dq1', '12096.ds3', '12096.dz1', '12096.ef1', '12096.eo1'], 'contains': ['48384.w1', '48384.bi1', '48384.bm2', '48384.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2543, -1, 5169, -1], 'generators': [753266989002102, 121, 356995102464000, 357001329489961], 'label': '387072.a.24192.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '24192.df1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.df1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249141
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bj1', '12096.bd1', '12096.cn2', '12096.dp1', '12096.dt2', '12096.dx1', '12096.ee1', '12096.ep1'], 'contains': ['48384.x1', '48384.y1', '48384.bm3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3232, -1, 6608, -1], 'generators': [121, 754574702919096, 355687428101161, 357001329489961], 'label': '387072.a.24192.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.dg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249142
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.a1', '756.a1'], 'contains': ['3024.d1', '3024.h1', '3024.h2', '3024.bh2', '3024.bh1', '3024.bh4', '3024.bh3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2512, -1, 3796, -1], 'generators': [121, 1307674735921, 4540245191228176, 1108948190077416, 4127388746710336, 356995102464000, 357001329489961, 363007], 'label': '387072.a.1512.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '1512.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.b1', 'subgroup_fusion': None, 'weyl_group': '1536.408540902'}
  • id: 66249143
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bd2', '12096.cn1', '12096.dp2', '12096.dt1', '12096.dx3', '12096.ee2', '12096.ep1'], 'contains': ['48384.x1', '48384.y1', '48384.bm5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3262, -1, 6530, -1], 'generators': [754574702919096, 5041, 356995102464000, 357001329489961], 'label': '387072.a.24192.dg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.dg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dg2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249144
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.be1', '12096.co1', '12096.cp2', '12096.cp1', '12096.dr1', '12096.dt3', '12096.du1', '12096.ea1', '12096.ef1', '12096.eg2', '12096.eg1', '12096.ep1', '12096.eq1'], 'contains': ['48384.x1', '48384.bj1', '48384.bm2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2144, -1, 5721, -1], 'generators': [1110262131014976, 121, 356995102464000, 357001329489961], 'label': '387072.a.24192.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '24192.dh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dh1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249145
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bi1', '12096.bf1', '12096.cq1', '12096.dq1', '12096.dt3', '12096.dz1', '12096.eh1', '12096.ep1'], 'contains': ['48384.y1', '48384.bm2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5077, -1, 6670, -1], 'generators': [121, 754574702919096, 356995102464000, 357001329489961], 'label': '387072.a.24192.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '24192.di1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.di1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249146
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bg1', '12096.cp2', '12096.cp1', '12096.cq1', '12096.dr1', '12096.ds3', '12096.dw1', '12096.ea1', '12096.eg2', '12096.eg1', '12096.eh1', '12096.eo1', '12096.er1'], 'contains': ['48384.z1', '48384.bk1', '48384.bm2', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2872, -1, 6054, -1], 'generators': [121, 356995102464000, 1108948190077423, 357001329489961], 'label': '387072.a.24192.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '24192.dj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dj1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249147
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bk1', '12096.bh1', '12096.bh2', '12096.bi2', '12096.cr5', '12096.ei2', '12096.ei4', '12096.et1'], 'contains': ['48384.ba1', '48384.ba9', '48384.bl2', '48384.bl1', '48384.bm2', '48384.cg1', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [6078, -1, 7188, -1], 'generators': [5046, 1307674368001, 356995102469160, 357001329484806], 'label': '387072.a.24192.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.dk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dk1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249148
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bk2', '12096.bh2', '12096.bi1', '12096.cr3', '12096.dq1', '12096.dr1', '12096.ei1', '12096.et2'], 'contains': ['48384.ba2', '48384.ba8', '48384.bl4', '48384.bm2', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4120, -1, 7020, -1], 'generators': [126, 356995102469167, 1307674368001, 357001329484806], 'label': '387072.a.24192.dk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '24192.dk2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dk2', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249149
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dk3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bh2', '12096.bh3', '12096.bi15', '12096.cr4', '12096.cr6', '12096.cr7', '12096.ei2', '12096.ei3', '12096.ei4', '12096.ei5', '12096.et1', '12096.et2'], 'contains': ['48384.ba1', '48384.ba4', '48384.ba3', '48384.ba6', '48384.ba7', '48384.bl2', '48384.bl1', '48384.bl3', '48384.bl4', '48384.bm5', '48384.cg2', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5933, -1, 7565, -1], 'generators': [126, 357001329484801, 1307674368001, 356995102469160], 'label': '387072.a.24192.dk3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dk3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dk3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249150
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dk4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bh2', '12096.bi4', '12096.cr1', '12096.cr8', '12096.dp2', '12096.ei1', '12096.ei3', '12096.ei4', '12096.et2'], 'contains': ['48384.ba3', '48384.ba7', '48384.ba8', '48384.ba5', '48384.bl1', '48384.bl4', '48384.bm5', '48384.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4753, -1, 7551, -1], 'generators': [126, 356995142380920, 357001329484801, 1307674368001], 'label': '387072.a.24192.dk4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dk4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dk4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249151
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dk5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bh3', '12096.bi3', '12096.cr2', '12096.cr9', '12096.dp1', '12096.ei1', '12096.ei2', '12096.ei5', '12096.et1', '12096.et2'], 'contains': ['48384.ba2', '48384.ba4', '48384.ba5', '48384.ba9', '48384.bl2', '48384.bl3', '48384.bl4', '48384.bm3', '48384.cg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4292, -1, 7495, -1], 'generators': [356995142380927, 126, 1307674368001, 357001329484806], 'label': '387072.a.24192.dk5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dk5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dk5', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249152
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cw1', '12096.dx2', '12096.dx4', '12096.dy1', '12096.ee1', '12096.ee2', '12096.ef1'], 'contains': ['48384.w1', '48384.x1', '48384.bb1', '48384.bn2', '48384.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2317, -1, 5212, -1], 'generators': [1307714284800, 754568475898297, 356995102464000, 357001329489961], 'label': '387072.a.24192.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.dl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dl1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249153
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.b2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1'], 'contains': ['3024.c4', '3024.c3', '3024.c2', '3024.c1', '3024.d2', '3024.h2', '3024.h3', '3024.bh4', '3024.bh3', '3024.bh6', '3024.bh5', '3024.bi2', '3024.bi1', '3024.bm1', '3024.bm2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2437, -1, 3819, -1], 'generators': [121, 1307674735921, 4127382519326782, 4540245191228176, 356995102464000, 753260761981296, 357001329489961, 363007], 'label': '387072.a.1512.b2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.b2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.b2', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249154
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cz1', '12096.dx2', '12096.dx4', '12096.eb1', '12096.ee1', '12096.ee2', '12096.eh1'], 'contains': ['48384.y1', '48384.z1', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3287, -1, 6646, -1], 'generators': [754574702919096, 1307714284800, 356995102464000, 357001329489961], 'label': '387072.a.24192.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '24192.dm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dm1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249155
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi1', '12096.bi15', '12096.bp2', '12096.cr5', '12096.ct5', '12096.ct6', '12096.ec8', '12096.ei1', '12096.ei4', '12096.ej1', '12096.es2', '12096.es5', '12096.es6'], 'contains': ['48384.bc3', '48384.bc6', '48384.bc8', '48384.bc12', '48384.bc13', '48384.bc14', '48384.bf4', '48384.bf3', '48384.bg1', '48384.bl4', '48384.bm2', '48384.bw1', '48384.bw5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4973, -1, 7912, -1], 'generators': [40284726, 356995102464007, 357001369406641, 1307674368001], 'label': '387072.a.24192.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249156
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi2', '12096.bi3', '12096.bp2', '12096.cr4', '12096.ct2', '12096.ct6', '12096.ec6', '12096.ec10', '12096.ei4', '12096.ei5', '12096.ej3', '12096.es1', '12096.es2', '12096.es4', '12096.es6'], 'contains': ['48384.bc2', '48384.bc3', '48384.bc7', '48384.bc8', '48384.bc9', '48384.bc15', '48384.bf1', '48384.bf3', '48384.bf6', '48384.bg1', '48384.bl2', '48384.bm5', '48384.bw1', '48384.bw4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5066, -1, 7814, -1], 'generators': [356995142743687, 357001369764481, 40284726, 1307674368001], 'label': '387072.a.24192.dn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249157
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi2', '12096.bi15', '12096.bp2', '12096.cr8', '12096.ct3', '12096.ct4', '12096.ec10', '12096.ec11', '12096.ei3', '12096.ei4', '12096.ej4', '12096.es3', '12096.es4', '12096.es6'], 'contains': ['48384.bc2', '48384.bc4', '48384.bc7', '48384.bc10', '48384.bc11', '48384.bc13', '48384.bf3', '48384.bf5', '48384.bf6', '48384.bg1', '48384.bl1', '48384.bm5', '48384.bw3', '48384.bw5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4948, -1, 7884, -1], 'generators': [357001369764481, 40284726, 356995102464007, 1307674368001], 'label': '387072.a.24192.dn3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249158
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi4', '12096.bi3', '12096.bp2', '12096.cr9', '12096.ct4', '12096.ct6', '12096.ec4', '12096.ec7', '12096.ei1', '12096.ei5', '12096.ej1', '12096.es2', '12096.es3', '12096.es6'], 'contains': ['48384.bc4', '48384.bc3', '48384.bc6', '48384.bc11', '48384.bc13', '48384.bf1', '48384.bf4', '48384.bf5', '48384.bf6', '48384.bg1', '48384.bl4', '48384.bm3', '48384.bw4', '48384.bw6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4594, -1, 7898, -1], 'generators': [40284726, 356995142385847, 357001369406641, 1307674368001], 'label': '387072.a.24192.dn4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249246
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bs1', '10752.a1', '16128.g1', '16128.o1', '16128.s1', '16128.t1', '16128.v1', '16128.y1', '16128.z1'], 'contains': ['96768.m1', '129024.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [6162, -1, 1032, -1], 'generators': [1864991769604248, 355687428096006, 355693655116800], 'label': '387072.a.32256.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '32256.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.l1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249159
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi4', '12096.bi15', '12096.bp2', '12096.cr7', '12096.ct1', '12096.ct3', '12096.ec10', '12096.ec11', '12096.ei1', '12096.ei3', '12096.ej1', '12096.es4', '12096.es5', '12096.es6'], 'contains': ['48384.bc5', '48384.bc10', '48384.bc9', '48384.bc13', '48384.bc14', '48384.bf2', '48384.bf4', '48384.bf5', '48384.bf6', '48384.bg1', '48384.bl4', '48384.bm5', '48384.bw2', '48384.bw3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4760, -1, 7828, -1], 'generators': [356995142743687, 40284726, 357001369406641, 1307674368001], 'label': '387072.a.24192.dn6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249160
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi4', '12096.bp1', '12096.cr2', '12096.ct5', '12096.ds2', '12096.dt2', '12096.dv2', '12096.dw3', '12096.ec3', '12096.ec7', '12096.ei2', '12096.ej4', '12096.es2', '12096.es5'], 'contains': ['48384.bc1', '48384.bc8', '48384.bc12', '48384.bc14', '48384.bf2', '48384.bf4', '48384.bg2', '48384.bl1', '48384.bm3', '48384.bw7', '48384.bw9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6178, -1, 7786, -1], 'generators': [40279806, 356995142380927, 357001369401721, 1307674368001], 'label': '387072.a.24192.dn7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dn6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn7', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249161
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi3', '12096.bi15', '12096.bp2', '12096.cr6', '12096.ct3', '12096.ct5', '12096.ec5', '12096.ec11', '12096.ei3', '12096.ei5', '12096.ej2', '12096.es2', '12096.es4', '12096.es5', '12096.es6'], 'contains': ['48384.bc6', '48384.bc5', '48384.bc7', '48384.bc12', '48384.bc13', '48384.bc15', '48384.bf2', '48384.bf4', '48384.bf3', '48384.bf5', '48384.bg1', '48384.bl3', '48384.bm5', '48384.bw2', '48384.bw6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4959, -1, 7870, -1], 'generators': [357001329852721, 40284726, 356995102464007, 1307674368001], 'label': '387072.a.24192.dn5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249162
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi5', '12096.bi6', '12096.bi9', '12096.bi13', '12096.bo2', '12096.bp2', '12096.da2', '12096.ec1', '12096.ec9', '12096.ei3', '12096.ei4', '12096.es2', '12096.es3', '12096.es4'], 'contains': ['48384.ba1', '48384.ba3', '48384.ba7', '48384.bc2', '48384.bc4', '48384.bc3', '48384.bc6', '48384.bc5', '48384.bc7', '48384.bc12', '48384.bc13', '48384.bc14', '48384.bm4', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6126, -1, 8095, -1], 'generators': [121, 356995142743680, 357001329489961, 1307674368001], 'label': '387072.a.24192.dn8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249163
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi5', '12096.bi7', '12096.bi9', '12096.bi11', '12096.bo2', '12096.bp2', '12096.da3', '12096.ec2', '12096.ec9', '12096.ei3', '12096.ei5', '12096.es2', '12096.es3', '12096.es4'], 'contains': ['48384.ba4', '48384.ba3', '48384.ba6', '48384.bc4', '48384.bc3', '48384.bc7', '48384.bc10', '48384.bc8', '48384.bc12', '48384.bc13', '48384.bc15', '48384.bm4', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5559, -1, 8011, -1], 'generators': [121, 356995142380927, 357001329489961, 1307674368001], 'label': '387072.a.24192.dn9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249164
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.b5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1'], 'contains': ['3024.c4', '3024.c7', '3024.c8', '3024.d5', '3024.h2', '3024.h3', '3024.bh1', '3024.bh4', '3024.bh6', '3024.bh5', '3024.bi2', '3024.bi4', '3024.bm2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2382, -1, 3773, -1], 'generators': [121, 1307674735921, 4540245191228176, 4127388746710336, 356995102464000, 753260761981296, 357001329489961, 363007], 'label': '387072.a.1512.b5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.b3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.b5', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249165
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi6', '12096.bi8', '12096.bi11', '12096.bi12', '12096.bo2', '12096.bp1', '12096.da4', '12096.ec9', '12096.ei2', '12096.es2', '12096.es4'], 'contains': ['48384.ba1', '48384.ba4', '48384.ba9', '48384.bc1', '48384.bc4', '48384.bc5', '48384.bc11', '48384.bc8', '48384.bc9', '48384.bc12', '48384.bc14', '48384.bc15', '48384.bm4', '48384.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6467, -1, 8397, -1], 'generators': [121, 356995142385847, 357001329489961, 1307674368001], 'label': '387072.a.24192.dn10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn10', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249166
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi7', '12096.bi8', '12096.bi13', '12096.bi14', '12096.bo1', '12096.bp2', '12096.da4', '12096.ec9', '12096.ei1', '12096.es2', '12096.es3', '12096.es4'], 'contains': ['48384.ba2', '48384.ba8', '48384.ba5', '48384.bc3', '48384.bc6', '48384.bc7', '48384.bc11', '48384.bc8', '48384.bc9', '48384.bc13', '48384.bc14', '48384.bm4', '48384.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5602, -1, 8053, -1], 'generators': [121, 356995142748840, 357001329489961, 1307674368001], 'label': '387072.a.24192.dn11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249167
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn12', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi10', '12096.bi12', '12096.bi14', '12096.bo2', '12096.bp2', '12096.da1', '12096.ec1', '12096.ec2', '12096.ei4', '12096.ei5', '12096.es3', '12096.es4'], 'contains': ['48384.ba6', '48384.ba7', '48384.ba9', '48384.bc2', '48384.bc6', '48384.bc5', '48384.bc10', '48384.bc11', '48384.bc9', '48384.bc13', '48384.bc15', '48384.bm1', '48384.bm4', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6456, -1, 7856, -1], 'generators': [356995102831927, 121, 357001329489961, 1307674368001], 'label': '387072.a.24192.dn12', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dn12', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn12', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249168
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn13', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi15', '12096.bp1', '12096.cr1', '12096.ct4', '12096.ds1', '12096.dt1', '12096.dv1', '12096.dw2', '12096.ec5', '12096.ec6', '12096.ei2', '12096.ej3', '12096.es1', '12096.es4', '12096.es5'], 'contains': ['48384.bc1', '48384.bc5', '48384.bc9', '48384.bc15', '48384.bf3', '48384.bf6', '48384.bg2', '48384.bl2', '48384.bm5', '48384.bw7', '48384.bw8'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6675, -1, 7772, -1], 'generators': [357001329852721, 356995142743687, 40284726, 1307674368001], 'label': '387072.a.24192.dn13', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dn13', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn13', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249169
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dn14', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi15', '12096.bp1', '12096.cr3', '12096.ct2', '12096.ct1', '12096.ds3', '12096.dt3', '12096.du1', '12096.dw1', '12096.ec8', '12096.ei2', '12096.ej2', '12096.es3', '12096.es6'], 'contains': ['48384.bc4', '48384.bc11', '48384.bc14', '48384.bc15', '48384.bf5', '48384.bf6', '48384.bg2', '48384.bl3', '48384.bm2', '48384.bw8', '48384.bw9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4336, -1, 7579, -1], 'generators': [357001329852721, 40284726, 356995142385847, 1307674368001], 'label': '387072.a.24192.dn14', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dn14', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dn14', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249170
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bl1', '12096.bi1', '12096.bi2', '12096.cu2', '12096.dz1', '12096.ea1', '12096.ej1', '12096.ej2'], 'contains': ['48384.bd3', '48384.bd2', '48384.bg1', '48384.bm2', '48384.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4785, -1, 8067, -1], 'generators': [126, 356995102469167, 357001369764486, 1307674368001], 'label': '387072.a.24192.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '24192.do1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.do1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249171
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.do2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bm1', '12096.bo2', '12096.db2', '12096.dy1', '12096.eb1', '12096.ec1', '12096.ej3', '12096.ej4'], 'contains': ['48384.bc1', '48384.bc2', '48384.bd1', '48384.bd4', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6723, -1, 7715, -1], 'generators': [356995102831927, 121, 357001369401726, 1307674368001], 'label': '387072.a.24192.do2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '24192.do2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.do2', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249172
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.do3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bn1', '12096.bi3', '12096.cu2', '12096.dx1', '12096.ej1', '12096.ej4'], 'contains': ['48384.bd1', '48384.bd2', '48384.bg1', '48384.bm3', '48384.by2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4654, -1, 8377, -1], 'generators': [357001329852726, 356995142380927, 126, 1307674368001], 'label': '387072.a.24192.do3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '24192.do3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.do3', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249173
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.do4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bo1', '12096.bo2', '12096.db3', '12096.dx2', '12096.ec2', '12096.ej2', '12096.ej3'], 'contains': ['48384.bc15', '48384.bd3', '48384.bd4', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6096, -1, 8707, -1], 'generators': [356995102831927, 121, 357001369764481, 1307674368001], 'label': '387072.a.24192.do4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '24192.do4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.do4', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249174
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.do5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi4', '12096.bi15', '12096.cu1', '12096.cu2', '12096.dx3', '12096.ej1', '12096.ej2', '12096.ej3', '12096.ej4'], 'contains': ['48384.bd1', '48384.bd3', '48384.bd4', '48384.bg1', '48384.bg2', '48384.bm5', '48384.by11'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4772, -1, 8194, -1], 'generators': [126, 356995142748840, 357001369764486, 1307674368001], 'label': '387072.a.24192.do5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.do5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.do5', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249175
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.b4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1'], 'contains': ['3024.c3', '3024.c7', '3024.c6', '3024.c5', '3024.d4', '3024.h2', '3024.h3', '3024.bh2', '3024.bh3', '3024.bh6', '3024.bi1', '3024.bi3', '3024.bm2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2345, -1, 3847, -1], 'generators': [121, 1307674735921, 4540245191228176, 4127388746710336, 356995102464000, 1108948190077423, 357001329489961, 363007], 'label': '387072.a.1512.b4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.b4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.b4', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249176
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.do6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bo1', '12096.bo2', '12096.db4', '12096.dx4', '12096.ec9', '12096.ej1', '12096.ej2', '12096.ej4'], 'contains': ['48384.bc13', '48384.bc14', '48384.bd1', '48384.bd3', '48384.bd2', '48384.bd4', '48384.bn1', '48384.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4816, -1, 8552, -1], 'generators': [121, 357001369764481, 356995142385847, 1307674368001], 'label': '387072.a.24192.do6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.do6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.do6', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249177
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi5', '12096.bi9', '12096.bn1', '12096.bn3', '12096.ct6', '12096.da4', '12096.ei1', '12096.ei2', '12096.ei3', '12096.es2', '12096.es4', '12096.et1', '12096.et2', '12096.ev1'], 'contains': ['48384.ba1', '48384.ba4', '48384.ba3', '48384.ba6', '48384.ba5', '48384.bf2', '48384.bf3', '48384.bf5', '48384.bl2', '48384.bl4', '48384.bm4', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4126, -1, 7278, -1], 'generators': [121, 356995102469167, 357001329489961, 1307674368001], 'label': '387072.a.24192.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dp1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249178
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi6', '12096.bn3', '12096.ct1', '12096.da3', '12096.ed1', '12096.ei1', '12096.ei5', '12096.es2', '12096.et2', '12096.ev1'], 'contains': ['48384.ba4', '48384.ba3', '48384.ba8', '48384.bf1', '48384.bf4', '48384.bl3', '48384.bl4', '48384.bm4', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3731, -1, 7076, -1], 'generators': [121, 357001329484801, 356995102469167, 1307674368001], 'label': '387072.a.24192.dp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dp2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249179
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dp3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi7', '12096.bi11', '12096.bn2', '12096.bn3', '12096.ct4', '12096.da2', '12096.ei1', '12096.ei2', '12096.ei4', '12096.es2', '12096.es4', '12096.et1', '12096.et2', '12096.ev1'], 'contains': ['48384.ba2', '48384.ba1', '48384.ba4', '48384.ba7', '48384.ba9', '48384.bf4', '48384.bf3', '48384.bf6', '48384.bl2', '48384.bl1', '48384.bl4', '48384.bm4', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4149, -1, 7320, -1], 'generators': [121, 356995142380927, 357001329484801, 1307674368001], 'label': '387072.a.24192.dp3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dp3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dp3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249180
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dp4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi8', '12096.bi10', '12096.bn2', '12096.bn3', '12096.ct3', '12096.da4', '12096.ei1', '12096.ei2', '12096.ei3', '12096.es2', '12096.es3', '12096.et1', '12096.et2', '12096.ev1'], 'contains': ['48384.ba2', '48384.ba1', '48384.ba3', '48384.ba6', '48384.ba5', '48384.ba9', '48384.bf4', '48384.bf5', '48384.bf6', '48384.bl1', '48384.bl3', '48384.bl4', '48384.bm4', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4071, -1, 7306, -1], 'generators': [121, 356995142380920, 357001329489961, 1307674368001], 'label': '387072.a.24192.dp4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dp4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dp4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249181
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dp5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi12', '12096.bi14', '12096.bn3', '12096.ct5', '12096.da1', '12096.ei4', '12096.ei5', '12096.es3', '12096.es4', '12096.et2', '12096.ev1'], 'contains': ['48384.ba4', '48384.ba3', '48384.ba6', '48384.ba7', '48384.ba8', '48384.bf1', '48384.bf3', '48384.bf5', '48384.bl1', '48384.bl3', '48384.bl4', '48384.bm1', '48384.bm4', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3993, -1, 7292, -1], 'generators': [121, 357001329484801, 356995142385840, 1307674368001], 'label': '387072.a.24192.dp5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dp5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dp5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249182
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dp6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi13', '12096.bn2', '12096.ct2', '12096.da3', '12096.ed2', '12096.ei2', '12096.ei5', '12096.es4', '12096.et1', '12096.ev1'], 'contains': ['48384.ba6', '48384.ba9', '48384.bf2', '48384.bf6', '48384.bl2', '48384.bl3', '48384.bm4', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3743, -1, 6992, -1], 'generators': [121, 356995142743680, 357001329484801, 1307674368001], 'label': '387072.a.24192.dp6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dp6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dp6', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249183
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bp1', '12096.bi8', '12096.bq1', '12096.cu1', '12096.db1', '12096.ej1', '12096.es2', '12096.es6'], 'contains': ['48384.bc4', '48384.bc3', '48384.bf4', '48384.bg1', '48384.bn1', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3851, -1, 7048, -1], 'generators': [121, 357001369406641, 356995142748840, 1307674368001], 'label': '387072.a.24192.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.dq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dq1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249184
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi5', '12096.bi9', '12096.bi10', '12096.bq1', '12096.cu2', '12096.db5', '12096.ej1', '12096.ej3', '12096.es1', '12096.es2', '12096.es3', '12096.es4', '12096.es5', '12096.es6'], 'contains': ['48384.bc3', '48384.bc5', '48384.bc7', '48384.bc8', '48384.bc9', '48384.bf1', '48384.bf3', '48384.bf6', '48384.bg1', '48384.bg2', '48384.bn2', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4482, -1, 7631, -1], 'generators': [121, 356995142743687, 357001369764481, 1307674368001], 'label': '387072.a.24192.dq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dq2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dq2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249185
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dq3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi6', '12096.bi11', '12096.bi12', '12096.bq1', '12096.cu1', '12096.db5', '12096.ej1', '12096.ej2', '12096.ej4', '12096.es2', '12096.es3', '12096.es4', '12096.es5', '12096.es6'], 'contains': ['48384.bc6', '48384.bc5', '48384.bc10', '48384.bc8', '48384.bc12', '48384.bf4', '48384.bf5', '48384.bg1', '48384.bg2', '48384.bn1', '48384.bn2', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4322, -1, 7673, -1], 'generators': [121, 356995142743687, 357001329484801, 1307674368001], 'label': '387072.a.24192.dq3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dq3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dq3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249186
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.b3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1'], 'contains': ['3024.c2', '3024.c1', '3024.c6', '3024.c5', '3024.d3', '3024.h1', '3024.h3', '3024.bh4', '3024.bh3', '3024.bh5', '3024.bi4', '3024.bi3', '3024.bm2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2480, -1, 3876, -1], 'generators': [121, 753260761981303, 1307674735921, 4127382519326782, 4540245191228176, 356995102464000, 357001329489961, 363007], 'label': '387072.a.1512.b3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.b5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.b3', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249187
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dq4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bi7', '12096.bi13', '12096.bi14', '12096.bq1', '12096.cu2', '12096.db5', '12096.ej1', '12096.ej2', '12096.ej4', '12096.es2', '12096.es4', '12096.es6'], 'contains': ['48384.bc4', '48384.bc6', '48384.bc7', '48384.bc10', '48384.bc11', '48384.bf2', '48384.bf3', '48384.bf6', '48384.bg1', '48384.bn1', '48384.bn2', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4330, -1, 7617, -1], 'generators': [121, 356995142385847, 357001329484801, 1307674368001], 'label': '387072.a.24192.dq4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dq4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dq4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249188
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cs1', '12096.cw1', '12096.ed2', '12096.ed1', '12096.ef1', '12096.eu1'], 'contains': ['48384.be1', '48384.bi1', '48384.bj1', '48384.bo1', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1605, -1, 5010, -1], 'generators': [1307714284800, 754568475898297, 355693695038640, 356995102464000], 'label': '387072.a.24192.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.dr1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dr1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249189
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.cs1', '12096.cy1', '12096.ed2', '12096.ed1', '12096.eg2', '12096.eg1', '12096.eu1'], 'contains': ['48384.bj1', '48384.bk1', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2075, -1, 5505, -1], 'generators': [1307714284800, 355693695038640, 1108948190077302, 356995102464000], 'label': '387072.a.24192.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '24192.ds1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ds1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249190
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bp1', '12096.bp2', '12096.ct5', '12096.ct6', '12096.db4', '12096.ei1', '12096.ei2', '12096.ej1', '12096.es5', '12096.es6', '12096.et1', '12096.ev1'], 'contains': ['48384.ba1', '48384.ba4', '48384.ba9', '48384.bf2', '48384.bf4', '48384.bf3', '48384.bf5', '48384.bf6', '48384.bm2', '48384.bm3', '48384.bm5', '48384.bn1', '48384.bp1', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3784, -1, 7006, -1], 'generators': [121, 357001369406641, 1307674368001, 356995102469160], 'label': '387072.a.24192.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.dt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dt1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249191
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dt2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bp2', '12096.ct2', '12096.ct1', '12096.db2', '12096.ef1', '12096.eg2', '12096.eg1', '12096.eh1', '12096.ei4', '12096.ej2', '12096.es5', '12096.es6', '12096.et2', '12096.ev1'], 'contains': ['48384.ba7', '48384.ba5', '48384.bf1', '48384.bf2', '48384.bf4', '48384.bf5', '48384.bm2', '48384.bm5', '48384.bn2', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3525, -1, 6879, -1], 'generators': [121, 356995102464007, 357001369401726, 1307674368001], 'label': '387072.a.24192.dt2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dt2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dt2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249192
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dt3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bp2', '12096.ct3', '12096.db4', '12096.ee2', '12096.ei3', '12096.ej3', '12096.es1', '12096.es6', '12096.et2', '12096.ev1'], 'contains': ['48384.ba2', '48384.ba3', '48384.bf1', '48384.bf3', '48384.bf6', '48384.bm5', '48384.bn2', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3862, -1, 6964, -1], 'generators': [121, 356995142380920, 357001369764481, 1307674368001], 'label': '387072.a.24192.dt3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dt3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dt3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249193
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dt4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bp2', '12096.ct4', '12096.db3', '12096.ee1', '12096.ei5', '12096.ej4', '12096.es5', '12096.es6', '12096.et2', '12096.ev1'], 'contains': ['48384.ba6', '48384.ba8', '48384.bf4', '48384.bf3', '48384.bf5', '48384.bm3', '48384.bm5', '48384.bn2', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3809, -1, 6978, -1], 'generators': [121, 357001369764481, 356995102827000, 1307674368001], 'label': '387072.a.24192.dt4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dt4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dt4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249194
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bq1', '12096.bo2', '12096.bq1', '12096.dd1', '12096.es3', '12096.es4', '12096.ev1'], 'contains': ['48384.bf5', '48384.bf6', '48384.bm1', '48384.bm4', '48384.bn1', '48384.bn2', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3338, -1, 6733, -1], 'generators': [357001329489966, 121, 356995102464000, 1307674368001], 'label': '387072.a.24192.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.du1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.du1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249195
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.du2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bo1', '12096.bo2', '12096.bq1', '12096.dd2', '12096.ek1', '12096.es2', '12096.es4', '12096.ev1'], 'contains': ['48384.bf1', '48384.bf2', '48384.bf4', '48384.bf3', '48384.bm4', '48384.bn1', '48384.bn2', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3440, -1, 6865, -1], 'generators': [121, 357001369764481, 356995102464000, 1307674368001], 'label': '387072.a.24192.du2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.du2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.du2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249196
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bj1', '12096.dc1', '12096.ek1', '12096.el1', '12096.em1', '12096.eo1', '12096.eu1'], 'contains': ['48384.bh2', '48384.bh1', '48384.bi1', '48384.bk1', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1995, -1, 4861, -1], 'generators': [355693655116800, 1108948190077302, 356995102464000, 1307674373040], 'label': '387072.a.24192.dv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '24192.dv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dv1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66249197
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '36.a1'], 'contains': ['144.a1', '144.c1', '216.c1', '504.l1', '576.a1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3322, -1, 1679, -1], 'generators': [1864985502671568, 1307674368001, 7, 363000, 5160, 357001369769646, 121, 40284847, 4877840422812233, 356995142748847], 'label': '387072.a.72.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '72.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66249198
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.c3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.b1'], 'contains': ['3024.c4', '3024.c2', '3024.c6', '3024.d5', '3024.d4', '3024.d6', '3024.e2', '3024.bh2', '3024.bh4', '3024.bh5', '3024.bi2', '3024.bi3', '3024.bj1', '3024.bk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2095, -1, 3715, -1], 'generators': [121, 1307674735921, 4127382519326782, 4895932619329216, 356995102464000, 1108948190077423, 357001329489961, 363007], 'label': '387072.a.1512.c3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.c3', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249199
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bl1', '12096.dc1', '12096.ek1', '12096.el1', '12096.eq1', '12096.eu1'], 'contains': ['48384.bj1', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1546, -1, 4883, -1], 'generators': [754568475898297, 355693655116800, 356995102464000, 1307674373040], 'label': '387072.a.24192.dw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '24192.dw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dw1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66249200
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.br1', '8064.bs1', '8064.bt1', '12096.bn1', '12096.db1', '12096.en1', '12096.es1', '12096.et1', '12096.ew1'], 'contains': ['48384.bl2', '48384.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [3010, -1, 6145, -1], 'generators': [5041, 357001329484801, 1307674368001, 356995102469160], 'label': '387072.a.24192.dx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '24192.dx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dx1', 'subgroup_fusion': None, 'weyl_group': '18.3'}
  • id: 66249201
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bn2', '12096.bn3', '12096.db5', '12096.en2', '12096.es5', '12096.es6', '12096.et1', '12096.et2', '12096.ew1'], 'contains': ['48384.bl2', '48384.bl1', '48384.bl3', '48384.bl4', '48384.bp1', '48384.bp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3122, -1, 6747, -1], 'generators': [121, 357001329484801, 1307674368001, 356995102469160], 'label': '387072.a.24192.dx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dx2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dx2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249202
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bu1', '12096.bp2', '12096.cu1', '12096.dd1', '12096.es4', '12096.et2', '12096.ev1', '12096.ew1'], 'contains': ['48384.bl4', '48384.bm1', '48384.bm4', '48384.bm5', '48384.bp1', '48384.bp2', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2833, -1, 6166, -1], 'generators': [121, 357001329847801, 356995102827000, 1307674368001], 'label': '387072.a.24192.dy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '24192.dy1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dy1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249203
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dy2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.bp1', '12096.bp2', '12096.cu2', '12096.dd2', '12096.eo1', '12096.ep1', '12096.eq1', '12096.er1', '12096.es2', '12096.es3', '12096.et1', '12096.et2', '12096.ev1', '12096.ew1'], 'contains': ['48384.bl2', '48384.bl1', '48384.bl3', '48384.bm2', '48384.bm3', '48384.bm4', '48384.bm5', '48384.bp1', '48384.bp2', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2999, -1, 6208, -1], 'generators': [121, 356995102464000, 357001329489961, 1307674368001], 'label': '387072.a.24192.dy2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.dy2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dy2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249204
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.dz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bv1', '12096.bq1', '12096.de1', '12096.eu1', '12096.ev1', '12096.ew1'], 'contains': ['48384.bp1', '48384.bp2', '48384.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2305, -1, 5700, -1], 'generators': [121, 357001329484801, 356995102464000, 1307674368001], 'label': '387072.a.24192.dz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '24192.dz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.dz1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249205
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ea1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.e2', '12096.dl1'], 'contains': ['48384.bs2', '48384.bs1', '48384.bv1', '48384.bz1', '48384.ca1', '48384.cc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2037, -1, 5351, -1], 'generators': [4895932619687177, 356995102827007, 753260761981296, 357001329489961], 'label': '387072.a.24192.ea1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.bf1', 'old_label': '24192.ea1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ea1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249206
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.g1', '12096.dl1'], 'contains': ['48384.bs2', '48384.bs1', '48384.bt1', '48384.bz1', '48384.ca1', '48384.cb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2028, -1, 5332, -1], 'generators': [4895932619687177, 356995102827007, 357001329489961, 1110255864440383], 'label': '387072.a.24192.eb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.bf1', 'old_label': '24192.eb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eb1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249207
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ec2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.l2', '12096.dm1', '12096.dm4', '12096.dm3', '12096.ds2', '12096.ds3'], 'contains': ['48384.bs1', '48384.bw9', '48384.cd1', '48384.ce1', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2885, -1, 5991, -1], 'generators': [753260761976383, 1307674368127, 355687428459001, 355693655121967], 'label': '387072.a.24192.ec2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '24192.ec1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ec2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249208
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ec1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.l1', '12096.dm2', '12096.dm4', '12096.dm3', '12096.ds1', '12096.ds3'], 'contains': ['48384.bs2', '48384.bw8', '48384.cd2', '48384.ce1', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2914, -1, 6014, -1], 'generators': [753266989002223, 368041, 357001329847801, 356995102469167], 'label': '387072.a.24192.ec1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '24192.ec2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ec1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249209
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.b1'], 'contains': ['3024.c1', '3024.c7', '3024.c5', '3024.d2', '3024.d5', '3024.d6', '3024.e2', '3024.bh4', '3024.bh6', '3024.bi1', '3024.bi4', '3024.bi3', '3024.bj1', '3024.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2059, -1, 3589, -1], 'generators': [121, 753260761981303, 1307674735921, 4127382519326782, 4895932619329216, 356995102464000, 357001329489961, 363007], 'label': '387072.a.1512.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.c2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.c1', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249210
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ec3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.l3', '12096.ds1', '12096.ds2', '12096.ex1', '12096.ex2', '12096.ex3', '12096.ex4'], 'contains': ['48384.bt1', '48384.bv1', '48384.bw7', '48384.cd1', '48384.cd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [4209, -1, 7409, -1], 'generators': [753260761976383, 1307674368127, 355687428459001, 357001329489961], 'label': '387072.a.24192.ec3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.ec3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ec3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249211
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ed1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.p1', '12096.dv1', '12096.dv2', '12096.ex1', '12096.ex2', '12096.ex3', '12096.ex4'], 'contains': ['48384.bu1', '48384.bw7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9354, -1, 9659, -1], 'generators': [754574702919096, 1307674368127, 355687428459001, 357001329489961], 'label': '387072.a.24192.ed1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.ed1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ed1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249212
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ee2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.q4', '12096.dm1', '12096.dm4', '12096.dm3', '12096.dw1', '12096.dw3'], 'contains': ['48384.bw9', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [5143, -1, 6411, -1], 'generators': [1307674368127, 355687428459001, 1108948190077302, 355693655121967], 'label': '387072.a.24192.ee2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '24192.ee1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ee2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249213
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ee1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.q3', '12096.dm2', '12096.dm4', '12096.dm3', '12096.dw1', '12096.dw2'], 'contains': ['48384.bw8', '48384.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [5151, -1, 6430, -1], 'generators': [368041, 357001329847801, 1108948190077423, 356995102469167], 'label': '387072.a.24192.ee1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '24192.ee2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ee1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249214
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ef1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bw1', '12096.s2', '12096.dg1', '12096.dg2', '12096.do1', '12096.do3', '12096.ex1', '12096.ex4'], 'contains': ['48384.br2', '48384.bt1', '48384.bu1', '48384.bx2', '48384.by3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9579, -1, 9638, -1], 'generators': [753260761976262, 1307714647800, 356995102827007, 355693695401640], 'label': '387072.a.24192.ef1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.ef1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ef1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249215
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ef4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s2', '12096.dg1', '12096.dg2', '12096.do2', '12096.do3', '12096.ex2', '12096.ex3'], 'contains': ['48384.br2', '48384.bt1', '48384.bu1', '48384.bx2', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9383, -1, 9576, -1], 'generators': [753260761976262, 1307714647800, 356995102827007, 357001329489961], 'label': '387072.a.24192.ef4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.ef2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ef4', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249216
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ef2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s1', '12096.dg1', '12096.do5', '12096.do6', '12096.ex1', '12096.ex3'], 'contains': ['48384.br2', '48384.bt1', '48384.bu1', '48384.bx1', '48384.by7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9363, -1, 9509, -1], 'generators': [754574702919096, 355687468017841, 1307714652727, 357001329489961], 'label': '387072.a.24192.ef2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.ef3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ef2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249217
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.ef3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.s1', '12096.dg2', '12096.do4', '12096.do6', '12096.ex2', '12096.ex4'], 'contains': ['48384.br1', '48384.bt1', '48384.bu1', '48384.bx2', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9345, -1, 9533, -1], 'generators': [40284721, 753260761976383, 356995142385847, 357001329489961], 'label': '387072.a.24192.ef3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.ef4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.ef3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249218
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bx1', '12096.w2', '12096.di2', '12096.di4', '12096.do1', '12096.do3', '12096.ex1', '12096.ex4'], 'contains': ['48384.bu1', '48384.bv1', '48384.by3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9567, -1, 9679, -1], 'generators': [1307714647800, 1108948190077302, 356995102827007, 355693695401640], 'label': '387072.a.24192.eg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.eg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249219
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eg4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.w2', '12096.di1', '12096.di3', '12096.do2', '12096.do3', '12096.ex2', '12096.ex3'], 'contains': ['48384.bu1', '48384.bv1', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9407, -1, 9597, -1], 'generators': [754574702919096, 1307714647800, 356995102827007, 357001329489961], 'label': '387072.a.24192.eg4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.eg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eg4', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249220
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.c2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.b1'], 'contains': ['3024.c3', '3024.c2', '3024.c5', '3024.d3', '3024.d6', '3024.e2', '3024.bh1', '3024.bh3', '3024.bh6', '3024.bi2', '3024.bi1', '3024.bi4', '3024.bj1', '3024.bk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2209, -1, 3646, -1], 'generators': [121, 1307674735921, 4127382519326782, 4895932619329216, 356995102464000, 753260761981296, 357001329489961, 363007], 'label': '387072.a.1512.c2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.c3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.c2', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249221
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.w1', '12096.di1', '12096.di2', '12096.do5', '12096.do6', '12096.ex1', '12096.ex3'], 'contains': ['48384.bu1', '48384.bv1', '48384.by7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9372, -1, 9554, -1], 'generators': [355687468017841, 1307714652727, 1108954417098217, 357001329489961], 'label': '387072.a.24192.eg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.eg3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eg2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249222
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eg3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.w1', '12096.di3', '12096.di4', '12096.do4', '12096.do6', '12096.ex2', '12096.ex4'], 'contains': ['48384.bu1', '48384.bv1', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9336, -1, 9617, -1], 'generators': [754574702919096, 40284721, 356995142385847, 357001329489961], 'label': '387072.a.24192.eg3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '24192.eg4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eg3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249223
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.by1', '12096.x3', '12096.x4', '12096.ec5', '12096.ec7', '12096.ex1'], 'contains': ['48384.bw6', '48384.bw7', '48384.by3', '48384.by4', '48384.by7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [9315, -1, 9476, -1], 'generators': [1307674373161, 356995142380920, 40284726, 357001369406646], 'label': '387072.a.24192.eh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '24192.eh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eh1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249224
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bz1', '12096.x3', '12096.x8', '12096.ec3', '12096.ec4', '12096.ec6', '12096.ex2'], 'contains': ['48384.bw4', '48384.bw7', '48384.by10', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [9299, -1, 9490, -1], 'generators': [1307674373161, 357001329852726, 40284726, 356995102464007], 'label': '387072.a.24192.eh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '24192.eh2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eh2', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249225
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eh5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x3', '12096.x6', '12096.x7', '12096.x9', '12096.ec6', '12096.ec7', '12096.ec8', '12096.ex4'], 'contains': ['48384.bw1', '48384.bw4', '48384.bw7', '48384.bw8', '48384.by3', '48384.by6', '48384.by8', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [9165, -1, 9435, -1], 'generators': [356995102831927, 1307674373161, 40284726, 357001329484806], 'label': '387072.a.24192.eh5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.eh3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eh5', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249226
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eh6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x2', '12096.x4', '12096.x5', '12096.x6', '12096.x7', '12096.x8', '12096.x9', '12096.ec4', '12096.ec5', '12096.ec8', '12096.ec10', '12096.ec11'], 'contains': ['48384.bw2', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw8', '48384.bw5', '48384.by6', '48384.by5', '48384.by8', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8757, -1, 9300, -1], 'generators': [1307674373161, 357001369764481, 40284726, 356995102827000], 'label': '387072.a.24192.eh6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.eh4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eh6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249227
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eh3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x3', '12096.x4', '12096.x7', '12096.ec3', '12096.ec5', '12096.ec8', '12096.ec10', '12096.ex3'], 'contains': ['48384.bw2', '48384.bw1', '48384.bw7', '48384.bw5', '48384.bw9', '48384.by7', '48384.by8', '48384.by9'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [9140, -1, 9421, -1], 'generators': [1307674373161, 40284726, 356995102827000, 357001329484806], 'label': '387072.a.24192.eh3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '24192.eh5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eh3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249228
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '24192.eh4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12096.x1', '12096.x4', '12096.x5', '12096.x6', '12096.x8', '12096.x9', '12096.ec7', '12096.ec8', '12096.ec10', '12096.ec11'], 'contains': ['48384.bw2', '48384.bw1', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw5', '48384.bw9', '48384.by4', '48384.by6', '48384.by5', '48384.by8', '48384.by10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8863, -1, 9387, -1], 'generators': [1307674373161, 356995102831920, 357001369764481, 40284726], 'label': '387072.a.24192.eh4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '24192.eh6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24192.eh4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249229
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '27648.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13824.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3456.a1', '3456.a2', '3456.b1', '9216.a1', '13824.a1'], 'contains': ['55296.a1', '193536.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4608, 'diagramx': [3, -1, 605, -1], 'generators': [5278182555324113, 357001369769527], 'label': '387072.a.27648.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4608.a1', 'old_label': '27648.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27648.a1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249230
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '27648.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13824.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3456.c1', '9216.b1', '13824.a1', '13824.b1', '13824.c1'], 'contains': ['55296.a1', '193536.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [179, -1, 686, -1], 'generators': [39916920, 5278182555329273], 'label': '387072.a.27648.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '27648.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27648.b1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249231
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.c4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.b1'], 'contains': ['3024.c4', '3024.c7', '3024.c8', '3024.d2', '3024.d4', '3024.d6', '3024.e1', '3024.bh3', '3024.bh5', '3024.bi1', '3024.bi4', '3024.bi3', '3024.bj1', '3024.bk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2025, -1, 3612, -1], 'generators': [753260761981303, 4895932619329216, 4127388746710336, 121, 357001329489961, 356995102464000, 1307674735921, 363007], 'label': '387072.a.1512.c4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.c4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.c4', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249232
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '27648.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.e1', '768.a1', '9216.c1', '13824.b1'], 'contains': ['55296.a1', '193536.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4608, 'diagramx': [108, -1, 181, -1], 'generators': [1876144015485480, 1110235221038033], 'label': '387072.a.27648.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4608.b1', 'old_label': '27648.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27648.c1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 66249233
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.f1', '8064.f2', '8064.f3', '16128.a1', '16128.b1', '16128.c1', '16128.d1', '16128.e1', '16128.f1', '16128.n1'], 'contains': ['64512.a1', '64512.b1', '64512.c1', '96768.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [8773, -1, 946, -1], 'generators': [355693695033727, 1510605748943575, 1307674373040], 'label': '387072.a.32256.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '32256.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249234
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.e1', '8064.h1', '8064.h2', '8064.h3', '8064.bb1', '16128.f1', '16128.l1'], 'contains': ['64512.a1', '64512.d1', '64512.f1', '96768.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [8745, -1, 993, -1], 'generators': [40279801, 357001329852726, 1864991769967129], 'label': '387072.a.32256.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.x1', 'old_label': '32256.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249235
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.g1', '8064.i1', '8064.j1', '8064.k1', '8064.n1', '8064.n3', '16128.a1', '16128.h1', '16128.l1'], 'contains': ['64512.a1', '64512.f1', '96768.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3228, -1, 779, -1], 'generators': [40279801, 1864985502671568, 355693695401647], 'label': '387072.a.32256.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '32256.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249236
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.c2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.g2', '8064.n2', '8064.n4', '16128.a1', '16128.h2', '16128.l1'], 'contains': ['64512.a1', '64512.f1', '96768.c2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3241, -1, 824, -1], 'generators': [40279801, 1864991769967129, 357001329484806], 'label': '387072.a.32256.c2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '32256.c2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.c2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249237
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.l1', '8064.o1', '8064.q1', '16128.b1', '16128.h1', '16128.h2'], 'contains': ['64512.a1', '64512.g1', '96768.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [2996, -1, 611, -1], 'generators': [1864985503034449, 355693695401647, 6028620692002864], 'label': '387072.a.32256.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.a1', 'old_label': '32256.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249238
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.m1', '8064.p1', '8064.p2', '16128.c1', '16128.h1', '16128.h2'], 'contains': ['64512.a1', '96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [2273, -1, 637, -1], 'generators': [6384314347482550, 1864985503034449, 355693695401647], 'label': '387072.a.32256.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.a1', 'old_label': '32256.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249239
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4608.a1', '8064.r1', '8064.r2', '8064.s1', '16128.l1', '16128.m1', '16128.n1'], 'contains': ['64512.a1', '64512.b1', '96768.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3264, -1, 741, -1], 'generators': [1864985503034449, 355693695401647, 1307674373040], 'label': '387072.a.32256.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '32256.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249240
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.ba1', '8064.bf1', '8064.bf2', '8064.bf3', '8064.bu1', '16128.f1', '16128.l1', '16128.r1'], 'contains': ['64512.b1', '64512.d1', '64512.f1', '96768.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9828, -1, 970, -1], 'generators': [357001329852726, 1864991769604248, 1307674373040], 'label': '387072.a.32256.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.x1', 'old_label': '32256.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249241
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.be1', '8064.be2', '8064.be3', '8064.bp1', '8064.bv1', '16128.a1', '16128.l1', '16128.r1'], 'contains': ['64512.b1', '64512.f1', '96768.i1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9659, -1, 910, -1], 'generators': [1864985502671568, 1307674373040, 357001329484806], 'label': '387072.a.32256.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.x1', 'old_label': '32256.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249242
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.c5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.b1'], 'contains': ['3024.c3', '3024.c1', '3024.c8', '3024.c6', '3024.d1', '3024.f1', '3024.bh6', '3024.bh5', '3024.bi2', '3024.bi1', '3024.bi4', '3024.bi3', '3024.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2148, -1, 3681, -1], 'generators': [121, 1307674735921, 4127382519326782, 4540245191228176, 1108948190077416, 356995102464000, 357001329489961, 363007], 'label': '387072.a.1512.c5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.c5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.c5', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249243
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4608.b1', '8064.bc1', '16128.b1', '16128.m1', '16128.w1'], 'contains': ['64512.b1', '64512.g1', '96768.j1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [5019, -1, 659, -1], 'generators': [1864991769604129, 367920, 6028620732287590], 'label': '387072.a.32256.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.t1', 'old_label': '32256.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249244
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4608.c1', '8064.bd1', '16128.d1', '16128.m1', '16128.w1'], 'contains': ['64512.b1', '96768.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [4814, -1, 1019, -1], 'generators': [1864991769604129, 367920, 6029928406292710], 'label': '387072.a.32256.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.t1', 'old_label': '32256.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249248
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bk1', '8064.bk2', '8064.bq1', '16128.a1', '16128.f1', '16128.ba1'], 'contains': ['64512.c1', '64512.f1', '96768.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9799, -1, 1344, -1], 'generators': [40279801, 355693695033727, 1864991769967129], 'label': '387072.a.32256.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '32256.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249249
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bg1', '10752.b1', '16128.b1', '16128.ba1', '16128.bb1'], 'contains': ['64512.c1', '64512.g1', '96768.o1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [6066, -1, 1558, -1], 'generators': [1509298074570535, 6384308120098865, 355693695033727], 'label': '387072.a.32256.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.c1', 'old_label': '32256.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.o1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249250
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.u1', '8064.bh1', '8064.bw1', '10752.b1', '16128.bc1'], 'contains': ['64512.e1', '64512.h1', '96768.o1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 5376, 'diagramx': [9698, -1, 7033, -1], 'generators': [3022645585103688, 1869021652780816, 355693655484727], 'label': '387072.a.32256.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5376.d1', 'old_label': '32256.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.p1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 66249251
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bi1', '10752.c1', '16128.e1', '16128.ba1', '16128.bb1'], 'contains': ['64512.c1', '96768.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9843, -1, 1666, -1], 'generators': [1509298074570535, 6029934593759591, 355693695033727], 'label': '387072.a.32256.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.c1', 'old_label': '32256.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.q1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249252
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.w1', '8064.bj1', '8064.bx1', '10752.c1', '16128.bc1'], 'contains': ['64512.e1', '96768.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 5376, 'diagramx': [9889, -1, 9573, -1], 'generators': [1513334225047817, 3377025378743455, 355693655484727], 'label': '387072.a.32256.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5376.d1', 'old_label': '32256.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.r1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 66249253
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.b1'], 'contains': ['3024.d1', '3024.d2', '3024.d5', '3024.d4', '3024.d3', '3024.f1', '3024.bi2', '3024.bi1', '3024.bi4', '3024.bi3', '3024.bk1', '3024.bk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1982, -1, 3566, -1], 'generators': [121, 1307674735921, 1108948190077416, 4895932619329216, 4127388746710336, 356995102464000, 357001329489961, 363007], 'label': '387072.a.1512.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.d1', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249254
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2688.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.y1', '8064.bl1', '10752.d1', '16128.f1', '16128.bb1'], 'contains': ['64512.c1', '64512.d1', '96768.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [9862, -1, 1534, -1], 'generators': [1509298074570535, 357001329852726, 1307714652841], 'label': '387072.a.32256.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '32256.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.s1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249255
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10752.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.z1', '8064.bn1', '8064.by1', '10752.d1', '10752.e1', '10752.f1', '16128.bc1'], 'contains': ['64512.e1', '96768.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1792, 'diagramx': [9928, -1, 9733, -1], 'generators': [356995142743806, 3022645625015455, 355693655484727], 'label': '387072.a.32256.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1792.a1', 'old_label': '32256.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.t1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249256
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bo1', '8064.bz1', '16128.bd1', '16128.bf2', '16128.bf3'], 'contains': ['96768.r2', '129024.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9915, -1, 9783, -1], 'generators': [357001369769520, 3378333013194655, 356995102469167], 'label': '387072.a.32256.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.bm1', 'old_label': '32256.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.u1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66249257
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.cv1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bs1', '16128.i1', '16128.i2', '16128.q1', '16128.q2', '16128.s2', '16128.be1', '16128.bi1', '16128.bk1', '16128.bk2', '16128.bk3'], 'contains': ['96768.u1', '129024.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [8757, -1, 1762, -1], 'generators': [1864991769604248, 355687468012807, 355693655116921], 'label': '387072.a.32256.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '32256.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.v1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249258
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8064.bo1', '8064.bt1', '8064.bz1', '16128.u2', '16128.bf1', '16128.bj1'], 'contains': ['96768.u2', '129024.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [8788, -1, 9559, -1], 'generators': [355693655116807, 3022639358077848, 355687428463921], 'label': '387072.a.32256.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.ba1', 'old_label': '32256.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.w1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66249259
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '32256.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.j1', '16128.bg1', '16128.bl1'], 'contains': ['96768.v1', '129024.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [4177, -1, 175, -1], 'generators': [1864991769604248, 1864924319491062, 4124652992374735], 'label': '387072.a.32256.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.j1', 'old_label': '32256.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32256.x1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249260
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '43008.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10752.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['10752.a1', '14336.a1', '21504.a1', '21504.b1'], 'contains': ['129024.a1', '129024.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1792, 'diagramx': [9933, -1, 1811, -1], 'generators': [9683405637126, 6393937399719103], 'label': '387072.a.43008.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1792.a1', 'old_label': '43008.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '43008.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249261
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '43008.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '43008.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.c1', '10752.e1', '14336.a1', '21504.c1'], 'contains': ['129024.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 7168, 'diagramx': [9985, -1, 9955, -1], 'generators': [3022645625378215, 1120133873393272], 'label': '387072.a.43008.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7168.a1', 'old_label': '43008.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '43008.b1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249262
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '43008.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '43008.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.d1', '10752.f1', '14336.a1'], 'contains': ['129024.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 14336, 'diagramx': [9997, -1, 9969, -1], 'generators': [6393931212977977, 5643567240227136], 'label': '387072.a.43008.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14336.a1', 'old_label': '43008.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '43008.c1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249263
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.a1', '24192.a1', '24192.b1', '24192.g4', '24192.g8', '24192.o1', '24192.o5', '24192.r6', '24192.bu6', '24192.bz1'], 'contains': ['96768.a1', '96768.c1', '96768.c2', '96768.i1', '96768.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [2873, -1, 6304, -1], 'generators': [121, 355687468017841, 355693695401647], 'label': '387072.a.48384.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '48384.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249264
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.b1', '756.b1'], 'contains': ['3024.a1', '3024.b1', '3024.e1', '3024.e2', '3024.f1', '3024.bj1', '3024.bk1', '3024.bk2', '3024.bk3', '3024.bk4', '3024.bl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [1825, -1, 2593, -1], 'generators': [121, 1307674735921, 4127382519326782, 1108948190077416, 4895932619329216, 356995102464000, 357001329489961, 363007], 'label': '387072.a.1512.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '1512.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.e1', 'subgroup_fusion': None, 'weyl_group': '1536.408540902'}
  • id: 66249265
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.a2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.a2', '24192.b2', '24192.g2', '24192.g1', '24192.g3', '24192.g7', '24192.g5', '24192.g6', '24192.o2', '24192.o1', '24192.o4', '24192.o5', '24192.r5', '24192.r6', '24192.bu1', '24192.bu3', '24192.bu4', '24192.bz2'], 'contains': ['96768.a1', '96768.c1', '96768.c2', '96768.i2', '96768.n2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3591, -1, 7061, -1], 'generators': [121, 355687468012926, 355693695401647], 'label': '387072.a.48384.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.a2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.a2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249266
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.a3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g9', '24192.g10', '24192.g11', '24192.g12', '24192.g13', '24192.g14', '24192.g15', '24192.g16', '24192.g17', '24192.o3', '24192.o4', '24192.o5', '24192.o6', '24192.r3', '24192.r5', '24192.r6', '24192.r7', '24192.bu2', '24192.bu3', '24192.bu4', '24192.bu5', '24192.bu6', '24192.bz2'], 'contains': ['96768.a1', '96768.c2', '96768.i1', '96768.i2', '96768.n2', '96768.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3787, -1, 7729, -1], 'generators': [121, 355687468375681, 355693695401647], 'label': '387072.a.48384.a3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.a3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.a3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249267
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.b1', '24192.a1', '24192.a2', '24192.c1', '24192.d1', '24192.d2', '24192.i1', '24192.bx1'], 'contains': ['96768.a1', '96768.d1', '96768.j1', '96768.o1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1837, -1, 4766, -1], 'generators': [357001329852847, 356995102464000, 1110255864440383], 'label': '387072.a.48384.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '48384.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249268
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.c1', '24192.a1', '24192.a2', '24192.e1', '24192.e2', '24192.f1', '24192.k1', '24192.by1'], 'contains': ['96768.a1', '96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1781, -1, 4438, -1], 'generators': [754568435986542, 357001329852847, 356995102464000], 'label': '387072.a.48384.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '48384.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249269
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.d1', '24192.b1', '24192.b2', '24192.c1', '24192.e1', '24192.e2', '24192.l1', '24192.bx1'], 'contains': ['96768.a1', '96768.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1850, -1, 4789, -1], 'generators': [357001329852847, 754574703286902, 356995102464000], 'label': '387072.a.48384.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '48384.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249270
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.e1', '24192.b1', '24192.b2', '24192.d1', '24192.d2', '24192.f1', '24192.m1', '24192.by1'], 'contains': ['96768.a1', '96768.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [5156, -1, 5462, -1], 'generators': [1110262131014983, 357001329852847, 356995102464000], 'label': '387072.a.48384.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '48384.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249271
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.f1', '24192.d1', '24192.e1', '24192.g3', '24192.g9', '24192.p2', '24192.p4', '24192.q2', '24192.bv1', '24192.bz1'], 'contains': ['96768.a1', '96768.b1', '96768.g1', '96768.n1', '96768.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4756, -1, 7174, -1], 'generators': [121, 355693695401647, 356995142385840], 'label': '387072.a.48384.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '48384.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249272
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.f2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.c1', '24192.f1', '24192.g2', '24192.g1', '24192.g4', '24192.g3', '24192.g13', '24192.p1', '24192.p5', '24192.p6', '24192.p12', '24192.p11', '24192.p14', '24192.p13', '24192.q2', '24192.q3', '24192.bu3', '24192.bu5', '24192.bw1', '24192.ca2'], 'contains': ['96768.a1', '96768.b1', '96768.h1', '96768.i2', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3837, -1, 7715, -1], 'generators': [121, 356995142748840, 357001369764486], 'label': '387072.a.48384.f2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.f2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.f2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249273
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.f3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.d2', '24192.e2', '24192.g2', '24192.g1', '24192.g4', '24192.g10', '24192.g11', '24192.g12', '24192.p3', '24192.p2', '24192.p7', '24192.p8', '24192.p9', '24192.q2', '24192.q3', '24192.bv2', '24192.bv3', '24192.bv4', '24192.bz2'], 'contains': ['96768.a1', '96768.b1', '96768.g2', '96768.n3', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4572, -1, 7791, -1], 'generators': [121, 356995142380927, 355693695401647], 'label': '387072.a.48384.f3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.f3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.f3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249274
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.f4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g7', '24192.g8', '24192.g5', '24192.g6', '24192.g13', '24192.g14', '24192.g15', '24192.g16', '24192.g17', '24192.p1', '24192.p4', '24192.p5', '24192.p6', '24192.p7', '24192.p8', '24192.p9', '24192.q1', '24192.q2', '24192.q3', '24192.q4', '24192.bv1', '24192.bv2', '24192.bv3', '24192.bv4', '24192.bz2'], 'contains': ['96768.a1', '96768.b1', '96768.g1', '96768.g2', '96768.n2', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5031, -1, 7941, -1], 'generators': [121, 356995142743680, 355693695401647], 'label': '387072.a.48384.f4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.f4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.f4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249275
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.f1'], 'contains': ['3024.i2', '3024.i1', '3024.j1', '3024.k2', '3024.k1', '3024.n1', '3024.p2', '3024.p1', '3024.q1', '3024.t1', '3024.u2', '3024.u1', '3024.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1904, -1, 4907, -1], 'generators': [367920, 754574702919096, 4894618758220222, 362886, 356995142385840, 1307674368001, 40284847, 357001369406646], 'label': '387072.a.1512.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '1512.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.f1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249276
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.f6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g7', '24192.g8', '24192.g9', '24192.g12', '24192.g15', '24192.g17', '24192.p3', '24192.p4', '24192.p5', '24192.p8', '24192.p9', '24192.p10', '24192.p12', '24192.p14', '24192.p13', '24192.q1', '24192.q2', '24192.q3', '24192.q4', '24192.bu2', '24192.bu3', '24192.bu4', '24192.bu6', '24192.bw2', '24192.ca2'], 'contains': ['96768.a1', '96768.b1', '96768.h1', '96768.i1', '96768.q1', '96768.q2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4725, -1, 7926, -1], 'generators': [121, 356995142743687, 355693695401647], 'label': '387072.a.48384.f6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.f5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.f6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249277
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.f5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g5', '24192.g6', '24192.g10', '24192.g11', '24192.g14', '24192.g16', '24192.p2', '24192.p4', '24192.p6', '24192.p7', '24192.p9', '24192.p10', '24192.p12', '24192.p11', '24192.p14', '24192.p13', '24192.q2', '24192.q3', '24192.q4', '24192.bu1', '24192.bu4', '24192.bu5', '24192.bu6', '24192.bw1', '24192.bw2', '24192.ca1'], 'contains': ['96768.a1', '96768.b1', '96768.h1', '96768.i2', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3843, -1, 7912, -1], 'generators': [121, 355693695401647, 356995102469160], 'label': '387072.a.48384.f5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.f6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.f5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249278
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.h2', '24192.h1', '24192.i1', '24192.j2', '24192.j1', '24192.k1', '24192.l1', '24192.m1', '24192.n1', '24192.n2', '24192.o2', '24192.o1', '24192.o3', '24192.p1', '24192.p3', '24192.p2', '24192.p10', '24192.r1', '24192.r4', '24192.r5', '24192.r6', '24192.s1', '24192.bv4', '24192.ca2'], 'contains': ['96768.a1', '96768.c1', '96768.g2', '96768.l1', '96768.q2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2745, -1, 6290, -1], 'generators': [121, 356995142743680, 357001369764486], 'label': '387072.a.48384.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '48384.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249307
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.l1', '24192.bp1', '24192.cc1', '24192.ce2', '24192.ce1', '24192.ci1', '24192.ci2', '24192.cj1', '24192.cn1', '24192.cp2', '24192.cp1', '24192.dg1', '24192.dg2', '24192.dh1', '24192.dl1'], 'contains': ['96768.g2', '96768.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2857, -1, 6475, -1], 'generators': [754568475898297, 356995102464000, 357001329489961], 'label': '387072.a.48384.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '48384.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.x1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249279
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.g2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.o4', '24192.o5', '24192.o6', '24192.p4', '24192.p5', '24192.p6', '24192.p7', '24192.p8', '24192.p9', '24192.p12', '24192.p11', '24192.p14', '24192.p13', '24192.r2', '24192.r3', '24192.r4', '24192.r5', '24192.r6', '24192.r7', '24192.s2', '24192.bv1', '24192.bv2', '24192.bv3', '24192.bv4', '24192.ca1', '24192.ca2'], 'contains': ['96768.a1', '96768.c2', '96768.g1', '96768.g2', '96768.l1', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3772, -1, 7544, -1], 'generators': [121, 355687468375686, 355693695401647], 'label': '387072.a.48384.g2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.g2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.g2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249280
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.g1', '24192.q1', '24192.q2', '24192.q3', '24192.q4', '24192.r3', '24192.r5', '24192.r6', '24192.r7', '24192.s1', '24192.s2', '24192.bw1', '24192.bw2', '24192.cb1'], 'contains': ['96768.a1', '96768.h1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3144, -1, 6992, -1], 'generators': [121, 355693695401647, 355687468380846], 'label': '387072.a.48384.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.h1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249281
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g2', '24192.g1', '24192.g4', '24192.g3', '24192.g7', '24192.g8', '24192.g5', '24192.g6', '24192.p1', '24192.p3', '24192.p2', '24192.p10', '24192.t1', '24192.t5', '24192.t4', '24192.br2', '24192.br3', '24192.br5', '24192.bu1', '24192.bu3', '24192.bu4', '24192.bu6', '24192.bv4'], 'contains': ['96768.b1', '96768.c1', '96768.n2', '96768.n3', '96768.q1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5908, -1, 8011, -1], 'generators': [356995142743687, 40284726, 355693695401647], 'label': '387072.a.48384.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249282
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.i3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g2', '24192.g8', '24192.g6', '24192.g9', '24192.g11', '24192.g12', '24192.g13', '24192.g14', '24192.g16', '24192.g17', '24192.p6', '24192.p7', '24192.p9', '24192.p12', '24192.p13', '24192.t3', '24192.t5', '24192.t4', '24192.t7', '24192.br4', '24192.br5', '24192.bu3', '24192.bu6', '24192.bv1'], 'contains': ['96768.b1', '96768.c2', '96768.n1', '96768.n2', '96768.q1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6653, -1, 8292, -1], 'generators': [357001369769646, 355687468375681, 40284726], 'label': '387072.a.48384.i3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.i2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.i3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249283
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.i2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g1', '24192.g8', '24192.g5', '24192.g9', '24192.g10', '24192.g11', '24192.g12', '24192.g13', '24192.g15', '24192.g16', '24192.g17', '24192.p4', '24192.p6', '24192.p8', '24192.p12', '24192.p11', '24192.t2', '24192.t5', '24192.t4', '24192.t6', '24192.t7', '24192.br2', '24192.br4', '24192.br5', '24192.bu4', '24192.bu5', '24192.bv3'], 'contains': ['96768.b1', '96768.c2', '96768.n2', '96768.n3', '96768.q1', '96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6957, -1, 8306, -1], 'generators': [357001369769646, 40284726, 356995102464007], 'label': '387072.a.48384.i2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.i3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.i2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249284
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.i5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g4', '24192.g7', '24192.g9', '24192.g10', '24192.g11', '24192.g12', '24192.g13', '24192.g14', '24192.g15', '24192.g16', '24192.g17', '24192.p4', '24192.p5', '24192.p9', '24192.p11', '24192.p13', '24192.t3', '24192.t5', '24192.t6', '24192.br3', '24192.br5', '24192.bu2', '24192.bu1', '24192.bu5', '24192.bv2'], 'contains': ['96768.b1', '96768.c2', '96768.n2', '96768.n3', '96768.q1', '96768.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6676, -1, 8236, -1], 'generators': [357001369769646, 355687468380841, 40284726], 'label': '387072.a.48384.i5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.i4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.i5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249285
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.i4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g3', '24192.g5', '24192.g6', '24192.g9', '24192.g10', '24192.g12', '24192.g13', '24192.g14', '24192.g15', '24192.g16', '24192.p5', '24192.p7', '24192.p8', '24192.p14', '24192.t4', '24192.t6', '24192.t7', '24192.br1', '24192.br3', '24192.br4', '24192.bu2', '24192.bu3', '24192.bu4', '24192.bu6', '24192.bv4'], 'contains': ['96768.b1', '96768.c2', '96768.n2', '96768.q2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6224, -1, 8109, -1], 'generators': [357001369769646, 356995142743687, 40284726], 'label': '387072.a.48384.i4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.i5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.i4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249286
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.f1'], 'contains': ['3024.i2', '3024.i1', '3024.k2', '3024.k1', '3024.l1', '3024.m1', '3024.o2', '3024.o1', '3024.r1', '3024.s1', '3024.u2', '3024.u1', '3024.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2631, -1, 5129, -1], 'generators': [367920, 754574702919096, 362886, 4540245191228183, 356995142385840, 1307674368001, 40284847, 357001369406646], 'label': '387072.a.1512.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '1512.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.g1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249287
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2016.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.h1', '24192.a1', '24192.v3', '24192.x3', '24192.be2'], 'contains': ['96768.c1', '96768.d1', '96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [779, -1, 1723, -1], 'generators': [1307674735921, 357001329852847, 1110255864440383], 'label': '387072.a.48384.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '48384.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249288
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.j2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.h2', '24192.a1', '24192.a2', '24192.be3'], 'contains': ['96768.c2', '96768.d1', '96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [1766, -1, 3109, -1], 'generators': [357001329852847, 1110262091466223, 355687428101166], 'label': '387072.a.48384.j2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.b1', 'old_label': '48384.j2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.j2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249289
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.j3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6048.n2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.a2', '24192.v2', '24192.v3', '24192.x2', '24192.x3', '24192.be2', '24192.be1'], 'contains': ['96768.c1', '96768.d1', '96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [158, -1, 1735, -1], 'generators': [355687428101047, 357001329852847, 1110262091466102], 'label': '387072.a.48384.j3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '48384.j3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.j3', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249290
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6048.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.h2', '24192.h1', '24192.i1', '24192.u2', '24192.u1', '24192.v1', '24192.w1', '24192.w2', '24192.x1', '24192.x2', '24192.x3', '24192.y1', '24192.z1', '24192.be2', '24192.be1', '24192.be3', '24192.bf2', '24192.bf1', '24192.bg1'], 'contains': ['96768.c1', '96768.d1', '96768.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [856, -1, 3091, -1], 'generators': [356995102464121, 357001329852847, 1110255864440383], 'label': '387072.a.48384.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '48384.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.k1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66249291
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6048.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.j2', '24192.j1', '24192.k1', '24192.u2', '24192.u1', '24192.v1', '24192.v2', '24192.v3', '24192.x1', '24192.ba1', '24192.ba2', '24192.bb1', '24192.bc1', '24192.be2', '24192.be1', '24192.be3', '24192.bh2', '24192.bh1', '24192.bi1'], 'contains': ['96768.c1', '96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [812, -1, 2888, -1], 'generators': [356995102464121, 357001329852847, 754568435986423], 'label': '387072.a.48384.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '48384.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.l1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66249292
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6048.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.h2', '24192.h1', '24192.j2', '24192.j1', '24192.n1', '24192.n2', '24192.u2', '24192.u1', '24192.w1', '24192.w2', '24192.y1', '24192.ba1', '24192.ba2', '24192.bb1', '24192.bd1', '24192.bd2', '24192.bf2', '24192.bf1', '24192.bh2', '24192.bh1', '24192.bj2', '24192.bj1', '24192.bj3', '24192.bj4'], 'contains': ['96768.c1', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [935, -1, 3529, -1], 'generators': [356995102464121, 754568436344263, 357001329852847], 'label': '387072.a.48384.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '48384.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.m1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249293
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.i1', '24192.o2', '24192.o1', '24192.r1', '24192.t1', '24192.be2', '24192.be1', '24192.bg1', '24192.bi1', '24192.bj2', '24192.bj1', '24192.bj4', '24192.bk1', '24192.bk4', '24192.br2'], 'contains': ['96768.c1', '96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2305, -1, 5429, -1], 'generators': [40284726, 355693695401647, 355687428463921], 'label': '387072.a.48384.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '48384.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.n1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249294
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.i2', '24192.o4', '24192.o5', '24192.o6', '24192.r2', '24192.t2', '24192.t3', '24192.t6', '24192.t7', '24192.bk2', '24192.bk3', '24192.br1', '24192.br2', '24192.br4', '24192.br5'], 'contains': ['96768.c2', '96768.u1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [6283, -1, 7743, -1], 'generators': [357001369769646, 40284726, 356995142743680], 'label': '387072.a.48384.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.n2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.n2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249295
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.n3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.o2', '24192.o1', '24192.o3', '24192.o4', '24192.o5', '24192.r4', '24192.t5', '24192.t4', '24192.be3', '24192.bf2', '24192.bf1', '24192.bh2', '24192.bh1', '24192.bj3', '24192.bk3', '24192.bk4', '24192.br3', '24192.br5'], 'contains': ['96768.c1', '96768.c2', '96768.u2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2849, -1, 6494, -1], 'generators': [357001369769646, 40284726, 355687428101166], 'label': '387072.a.48384.n3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '48384.n3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.n3', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249296
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.v1', '24192.v2', '24192.v3', '24192.x2', '24192.x3', '24192.bl1', '24192.bm1', '24192.bm2', '24192.bm3', '24192.bn1'], 'contains': ['96768.d1', '96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [118, -1, 1473, -1], 'generators': [1108948189714542, 357001329852847, 4895932619324303], 'label': '387072.a.48384.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '48384.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249297
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.c1', '756.e1', '756.f1'], 'contains': ['3024.o2', '3024.o1', '3024.p2', '3024.p1', '3024.r1', '3024.t1', '3024.z1', '3024.ba1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2321, -1, 4981, -1], 'generators': [121, 367920, 754574702919096, 4894618758220222, 356995102464000, 357001329847801, 1307674368001, 363007], 'label': '387072.a.1512.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '1512.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.h1', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 66249298
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bt1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.v2', '24192.v3', '24192.x1', '24192.x2', '24192.x3', '24192.bm1', '24192.bm3', '24192.bn1'], 'contains': ['96768.d1', '96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [97, -1, 1510, -1], 'generators': [1108948189714542, 4540238964207377, 357001329852847], 'label': '387072.a.48384.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '48384.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249299
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bu1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.j1', '24192.x2', '24192.x3', '24192.z1', '24192.bm2', '24192.bn1', '24192.bo1'], 'contains': ['96768.d1', '96768.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [163, -1, 1293, -1], 'generators': [357001329852847, 4895932619324303, 1110255864440383], 'label': '387072.a.48384.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.m1', 'old_label': '48384.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.q1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249300
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.br1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.k1', '24192.v2', '24192.v3', '24192.bc1', '24192.bl1', '24192.bm1', '24192.bm3'], 'contains': ['96768.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [64, -1, 1497, -1], 'generators': [4540238964570382, 1108948189714542, 357001329852847], 'label': '387072.a.48384.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.m1', 'old_label': '48384.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.r1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249301
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.l1', '24192.br2', '24192.br3', '24192.br5', '24192.bu1', '24192.bu3', '24192.bu4', '24192.bu6', '24192.bv4', '24192.bz1', '24192.bz2', '24192.ca2'], 'contains': ['96768.b1', '96768.c1', '96768.c2', '96768.f1', '96768.g1', '96768.i1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3485, -1, 7020, -1], 'generators': [357001369769646, 121, 355687468375686], 'label': '387072.a.48384.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.s1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249302
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.s2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.bp1', '24192.bq1', '24192.br1', '24192.br3', '24192.br4', '24192.br5', '24192.bu2', '24192.bu3', '24192.bu4', '24192.bu5', '24192.bu6', '24192.bv1', '24192.bv2', '24192.bv3', '24192.bz2', '24192.ca1', '24192.ca2'], 'contains': ['96768.b1', '96768.c2', '96768.f1', '96768.g2', '96768.i2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3508, -1, 7047, -1], 'generators': [357001369769646, 121, 356995102469160], 'label': '387072.a.48384.s2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.s2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.s2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249303
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6912.a1', '16128.m1', '24192.bp1', '24192.bs1', '24192.bx1'], 'contains': ['96768.f1', '96768.j1', '96768.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [1824, -1, 3511, -1], 'generators': [754568475898297, 355693695401647, 356995102464000], 'label': '387072.a.48384.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.t1', 'old_label': '48384.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.t1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249304
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.bs1', '24192.bt1', '24192.bu2', '24192.bu1', '24192.bu3', '24192.bu4', '24192.bu5', '24192.bu6', '24192.bv1', '24192.bv2', '24192.bv3', '24192.bv4', '24192.bw1', '24192.bw2', '24192.ca1', '24192.ca2', '24192.cb1'], 'contains': ['96768.a1', '96768.b1', '96768.f1', '96768.h1', '96768.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3194, -1, 6978, -1], 'generators': [357001369769646, 121, 355687468380846], 'label': '387072.a.48384.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.u1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249305
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.n1', '16128.o1', '16128.p1', '24192.bx1', '24192.by1', '24192.bz1', '24192.bz2', '24192.ca1', '24192.ca2', '24192.cb1'], 'contains': ['96768.a1', '96768.f1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [2737, -1, 5443, -1], 'generators': [357001369769646, 121, 356995142748847], 'label': '387072.a.48384.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '48384.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.v1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249306
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.i1', '24192.bp1', '24192.cc1', '24192.cd2', '24192.cd1', '24192.cg1', '24192.cg2', '24192.ch1', '24192.cn1', '24192.co2', '24192.co1', '24192.de1', '24192.de2', '24192.df1', '24192.dl1'], 'contains': ['96768.g2', '96768.j1', '96768.o1', '96768.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2884, -1, 6318, -1], 'generators': [356995102464000, 357001329489961, 1110255864440383], 'label': '387072.a.48384.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '48384.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.w1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249308
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '84.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.a1'], 'contains': ['168.a1', '168.b1', '168.c1', '252.d1', '252.e1', '336.b1', '1344.a1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5275, -1, 2144, -1], 'generators': [6035513869768025, 8375691352321, 6036942337539703, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.84.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '84.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.a1', 'subgroup_fusion': None, 'weyl_group': '2304.fd'}
  • id: 66249309
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.i2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.d1'], 'contains': ['3024.c3', '3024.c2', '3024.c1', '3024.c7', '3024.c8', '3024.d5', '3024.d4', '3024.d6', '3024.h1', '3024.h2', '3024.h3', '3024.y3', '3024.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2528, -1, 3922, -1], 'generators': [1307674373161, 121, 1108948190072263, 4540245191228183, 356995102464000, 7, 357001329489961, 363000], 'label': '387072.a.1512.i2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.i2', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249310
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.m1', '24192.bq1', '24192.cd2', '24192.cd1', '24192.cf1', '24192.ci1', '24192.ci2', '24192.ck1', '24192.co2', '24192.co1', '24192.cq1', '24192.dg1', '24192.dg2', '24192.di1', '24192.dm1'], 'contains': ['96768.g2', '96768.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [5919, -1, 7219, -1], 'generators': [754574702919096, 356995102464000, 357001329489961], 'label': '387072.a.48384.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '48384.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.y1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249311
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.n1', '24192.bq1', '24192.ce2', '24192.ce1', '24192.cf1', '24192.cg1', '24192.cg2', '24192.cl1', '24192.cp2', '24192.cp1', '24192.cq1', '24192.de1', '24192.de2', '24192.dj1', '24192.dm1'], 'contains': ['96768.g2', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2949, -1, 7100, -1], 'generators': [356995102464000, 1110262091461182, 357001329489961], 'label': '387072.a.48384.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '48384.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.z1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249312
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g2', '24192.g14', '24192.o5', '24192.p2', '24192.br4', '24192.cd1', '24192.ce1', '24192.cm5', '24192.cm4', '24192.cr17', '24192.cr20', '24192.cx4', '24192.cx1', '24192.cx11', '24192.cx12', '24192.dk2', '24192.dk5', '24192.dn11', '24192.dp3', '24192.dp4', '24192.dt3'], 'contains': ['96768.g2', '96768.i2', '96768.n1', '96768.n3', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5902, -1, 7997, -1], 'generators': [121, 356995142380927, 357001329484801], 'label': '387072.a.48384.ba2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249313
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g1', '24192.g5', '24192.g10', '24192.g16', '24192.o2', '24192.o6', '24192.p6', '24192.br4', '24192.cm1', '24192.cm5', '24192.cm4', '24192.cr4', '24192.cr5', '24192.cx3', '24192.cx2', '24192.cx5', '24192.cx8', '24192.cx11', '24192.cx13', '24192.cx14', '24192.dk1', '24192.dk3', '24192.dn8', '24192.dn10', '24192.dp1', '24192.dp3', '24192.dp4', '24192.dt1'], 'contains': ['96768.g2', '96768.i2', '96768.n2', '96768.u1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6324, -1, 8067, -1], 'generators': [121, 355687468012926, 357001329484801], 'label': '387072.a.48384.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.ba2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249314
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g4', '24192.g7', '24192.g10', '24192.g15', '24192.o3', '24192.o4', '24192.p9', '24192.br5', '24192.cm5', '24192.cm6', '24192.cm7', '24192.cr8', '24192.cr9', '24192.cx3', '24192.cx4', '24192.cx6', '24192.cx7', '24192.cx9', '24192.cx10', '24192.cx15', '24192.dk3', '24192.dk5', '24192.dn9', '24192.dn10', '24192.dp1', '24192.dp2', '24192.dp3', '24192.dp5', '24192.dt1'], 'contains': ['96768.g2', '96768.i1', '96768.i2', '96768.n2', '96768.n3', '96768.u2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6148, -1, 8095, -1], 'generators': [121, 355687468017841, 357001329484801], 'label': '387072.a.48384.ba4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.ba3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249315
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g3', '24192.g5', '24192.g6', '24192.g13', '24192.o4', '24192.o6', '24192.p7', '24192.br5', '24192.cm3', '24192.cm4', '24192.cm7', '24192.cr11', '24192.cr13', '24192.cx1', '24192.cx2', '24192.cx7', '24192.cx10', '24192.cx12', '24192.cx13', '24192.dk3', '24192.dk4', '24192.dn8', '24192.dn9', '24192.dp1', '24192.dp2', '24192.dp4', '24192.dp5', '24192.dt3'], 'contains': ['96768.g1', '96768.i2', '96768.n2', '96768.n3', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6230, -1, 8039, -1], 'generators': [121, 357001329484801, 356995102469167], 'label': '387072.a.48384.ba3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.ba4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249316
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g7', '24192.g9', '24192.g14', '24192.g16', '24192.o4', '24192.o5', '24192.p5', '24192.br3', '24192.cm3', '24192.cm6', '24192.cm7', '24192.cr10', '24192.cr14', '24192.cx3', '24192.cx6', '24192.cx8', '24192.cx9', '24192.cx10', '24192.cx11', '24192.cx17', '24192.dk3', '24192.dn9', '24192.dn12', '24192.dp1', '24192.dp4', '24192.dp5', '24192.dp6', '24192.dt4'], 'contains': ['96768.g1', '96768.i1', '96768.i2', '96768.n2', '96768.u2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6072, -1, 8053, -1], 'generators': [121, 356995102469167, 355693655121960], 'label': '387072.a.48384.ba6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.ba5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249317
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g8', '24192.g9', '24192.g15', '24192.g17', '24192.o5', '24192.o6', '24192.p8', '24192.br2', '24192.cm2', '24192.cm6', '24192.cm7', '24192.cr16', '24192.cr18', '24192.cx3', '24192.cx5', '24192.cx7', '24192.cx8', '24192.cx13', '24192.cx14', '24192.cx15', '24192.cx16', '24192.dk3', '24192.dk4', '24192.dn8', '24192.dn12', '24192.dp3', '24192.dp5', '24192.dt2'], 'contains': ['96768.g1', '96768.i1', '96768.n2', '96768.n3', '96768.u1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6488, -1, 8123, -1], 'generators': [121, 355687468375681, 355693655121960], 'label': '387072.a.48384.ba7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.ba6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249318
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g8', '24192.g12', '24192.o6', '24192.p3', '24192.br3', '24192.cd2', '24192.ce2', '24192.cm6', '24192.cr19', '24192.cr21', '24192.cx4', '24192.cx5', '24192.cx13', '24192.cx15', '24192.dk2', '24192.dk4', '24192.dn11', '24192.dp2', '24192.dp5', '24192.dt4'], 'contains': ['96768.g2', '96768.i1', '96768.n3', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5438, -1, 7983, -1], 'generators': [121, 355687468017841, 357001329489961], 'label': '387072.a.48384.ba8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.ba7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba8', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249366
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bm3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.u2', '24192.r4', '24192.bv2', '24192.de1', '24192.dg1', '24192.dk5', '24192.dn4', '24192.dn7', '24192.do3', '24192.dt1', '24192.dt4', '24192.dy2'], 'contains': ['96768.g2', '96768.l1', '96768.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3992, -1, 7266, -1], 'generators': [121, 355687428101161, 357001329489961], 'label': '387072.a.48384.bm3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '48384.bm3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bm3', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249319
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g6', '24192.g11', '24192.o4', '24192.p1', '24192.br1', '24192.cc1', '24192.cf1', '24192.cm5', '24192.cm4', '24192.cr12', '24192.cr15', '24192.cx2', '24192.cx5', '24192.cx10', '24192.cx17', '24192.dk4', '24192.dk5', '24192.dn11', '24192.dp1', '24192.dp4', '24192.dt2'], 'contains': ['96768.g2', '96768.i2', '96768.n2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5319, -1, 7969, -1], 'generators': [121, 356995142380920, 357001329489961], 'label': '387072.a.48384.ba5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.ba8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba5', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249320
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.d1'], 'contains': ['3024.c4', '3024.c1', '3024.c8', '3024.c6', '3024.c5', '3024.d2', '3024.d3', '3024.d6', '3024.h2', '3024.h3', '3024.y1', '3024.y3', '3024.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2548, -1, 3984, -1], 'generators': [5160, 121, 357001329484801, 4538937516860177, 356995102464000, 1108948190077423, 363007, 1307674731001], 'label': '387072.a.1512.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.i2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.i1', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249321
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ba9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g11', '24192.g12', '24192.g13', '24192.g17', '24192.o1', '24192.o5', '24192.p4', '24192.br5', '24192.cm1', '24192.cm5', '24192.cm6', '24192.cm7', '24192.cr6', '24192.cr7', '24192.cx6', '24192.cx7', '24192.cx11', '24192.cx14', '24192.cx15', '24192.cx16', '24192.dk1', '24192.dk5', '24192.dn10', '24192.dn12', '24192.dp3', '24192.dp4', '24192.dp6', '24192.dt1'], 'contains': ['96768.g2', '96768.i1', '96768.i2', '96768.n1', '96768.n2', '96768.u1', '96768.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6574, -1, 8137, -1], 'generators': [121, 356995142743680, 357001329484801], 'label': '387072.a.48384.ba9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.ba9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ba9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249322
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.c1', '24192.bs1', '24192.cn1', '24192.cs2', '24192.cs1', '24192.dl1'], 'contains': ['96768.h1', '96768.j1', '96768.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [1932, -1, 5056, -1], 'generators': [754568475898297, 355693695401526, 356995102464000], 'label': '387072.a.48384.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.cz1', 'old_label': '48384.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249323
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.q1', '24192.p8', '24192.r1', '24192.br1', '24192.ch1', '24192.cj1', '24192.ck1', '24192.cl1', '24192.cm1', '24192.cr2', '24192.cr17', '24192.cr19', '24192.dn7', '24192.dn10', '24192.dn13', '24192.do2'], 'contains': ['96768.g2', '96768.q2', '96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6664, -1, 7861, -1], 'generators': [121, 356995102827007, 357001329489961], 'label': '387072.a.48384.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '48384.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249324
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.q2', '24192.p4', '24192.p6', '24192.r2', '24192.br2', '24192.cm2', '24192.cm3', '24192.cr1', '24192.cr3', '24192.cr10', '24192.cr13', '24192.dn2', '24192.dn3', '24192.dn8', '24192.dn12', '24192.do2'], 'contains': ['96768.g1', '96768.q1', '96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [7226, -1, 7954, -1], 'generators': [121, 355693695033727, 356995142385840], 'label': '387072.a.48384.bc2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.bc2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249325
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g2', '24192.g6', '24192.g12', '24192.p11', '24192.p14', '24192.q4', '24192.r5', '24192.bu5', '24192.cr7', '24192.cr4', '24192.cr5', '24192.cr9', '24192.cr14', '24192.cr15', '24192.cx3', '24192.cx2', '24192.cx6', '24192.cx10', '24192.cx11', '24192.cy1', '24192.cy3', '24192.cy7', '24192.dn3', '24192.dn4', '24192.dn8', '24192.dn9', '24192.dn10', '24192.dn14', '24192.dq1', '24192.dq4'], 'contains': ['96768.g2', '96768.h1', '96768.i2', '96768.n2', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5627, -1, 8250, -1], 'generators': [121, 355693695396487, 356995142743680], 'label': '387072.a.48384.bc4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249326
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g1', '24192.g7', '24192.g11', '24192.p10', '24192.p11', '24192.q3', '24192.r7', '24192.bu5', '24192.cr6', '24192.cr7', '24192.cr5', '24192.cr8', '24192.cr11', '24192.cr17', '24192.cx4', '24192.cx1', '24192.cx5', '24192.cx7', '24192.cx13', '24192.cy2', '24192.cy6', '24192.dn1', '24192.dn2', '24192.dn4', '24192.dn8', '24192.dn9', '24192.dn11', '24192.dq1', '24192.dq2'], 'contains': ['96768.g2', '96768.h1', '96768.i2', '96768.n3', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5685, -1, 8278, -1], 'generators': [121, 355687468380841, 355693695396487], 'label': '387072.a.48384.bc3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249327
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g4', '24192.g16', '24192.g17', '24192.p10', '24192.p13', '24192.q3', '24192.r7', '24192.bu4', '24192.cr7', '24192.cr14', '24192.cr16', '24192.cr18', '24192.cr19', '24192.cx3', '24192.cx4', '24192.cx10', '24192.cx13', '24192.cx15', '24192.cy3', '24192.cy4', '24192.cy7', '24192.dn1', '24192.dn4', '24192.dn5', '24192.dn8', '24192.dn11', '24192.dn12', '24192.dq3', '24192.dq4'], 'contains': ['96768.g2', '96768.h1', '96768.i1', '96768.n2', '96768.n3', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6580, -1, 8334, -1], 'generators': [121, 355693695396487, 356995102827007], 'label': '387072.a.48384.bc6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249328
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g3', '24192.g14', '24192.g15', '24192.p14', '24192.p13', '24192.q4', '24192.r5', '24192.bu4', '24192.cr5', '24192.cr10', '24192.cr11', '24192.cr12', '24192.cr13', '24192.cx1', '24192.cx2', '24192.cx8', '24192.cx9', '24192.cx14', '24192.cx17', '24192.cy1', '24192.cy5', '24192.dn6', '24192.dn5', '24192.dn8', '24192.dn10', '24192.dn12', '24192.dn13', '24192.dq2', '24192.dq3'], 'contains': ['96768.g1', '96768.h1', '96768.i2', '96768.n2', '96768.q1', '96768.q2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6647, -1, 8222, -1], 'generators': [355687428463926, 121, 355693695396487], 'label': '387072.a.48384.bc5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249329
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g7', '24192.g5', '24192.g17', '24192.p11', '24192.q2', '24192.r3', '24192.bu3', '24192.cr6', '24192.cr4', '24192.cr10', '24192.cr12', '24192.cr13', '24192.cr20', '24192.cx3', '24192.cx1', '24192.cx7', '24192.cx8', '24192.cx10', '24192.cx13', '24192.cy5', '24192.cy7', '24192.cy9', '24192.dn2', '24192.dn3', '24192.dn5', '24192.dn8', '24192.dn9', '24192.dn11', '24192.dq2', '24192.dq4'], 'contains': ['96768.g1', '96768.h1', '96768.i2', '96768.n2', '96768.n3', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6659, -1, 8264, -1], 'generators': [121, 355693695396487, 355687428101166], 'label': '387072.a.48384.bc7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249330
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g8', '24192.g9', '24192.g13', '24192.p12', '24192.p14', '24192.q4', '24192.r7', '24192.bu1', '24192.cr6', '24192.cr9', '24192.cr10', '24192.cr18', '24192.cx3', '24192.cx5', '24192.cx7', '24192.cx8', '24192.cx10', '24192.cx13', '24192.cy1', '24192.cy3', '24192.cy8', '24192.dn3', '24192.dn6', '24192.dn9', '24192.dn12', '24192.dq3', '24192.dq4'], 'contains': ['96768.g1', '96768.h1', '96768.i1', '96768.n2', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5750, -1, 8208, -1], 'generators': [121, 355687468375686, 355693655121960], 'label': '387072.a.48384.bc10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc10', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249331
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.i3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.d1', '756.e1'], 'contains': ['3024.c4', '3024.c2', '3024.c7', '3024.c5', '3024.d1', '3024.h3', '3024.z1', '3024.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 189, 'diagramx': [2569, -1, 4055, -1], 'generators': [4540245191228183, 121, 1307674368001, 1108948190077423, 357001329847801, 356995102464000, 367920, 363007], 'label': '387072.a.1512.i3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '189.a1', 'old_label': '1512.i3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.i3', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 66249332
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g8', '24192.g11', '24192.g14', '24192.p12', '24192.p13', '24192.q2', '24192.r6', '24192.bu6', '24192.cr6', '24192.cr8', '24192.cr14', '24192.cr16', '24192.cr21', '24192.cx4', '24192.cx6', '24192.cx7', '24192.cx11', '24192.cx14', '24192.cy4', '24192.cy8', '24192.dn3', '24192.dn4', '24192.dn10', '24192.dn11', '24192.dn12', '24192.dn14', '24192.dq4'], 'contains': ['96768.g2', '96768.h1', '96768.i1', '96768.n1', '96768.n2', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6510, -1, 8320, -1], 'generators': [121, 355693695396487, 356995102827000], 'label': '387072.a.48384.bc11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249333
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g5', '24192.g10', '24192.g13', '24192.p10', '24192.p12', '24192.q3', '24192.r5', '24192.bu2', '24192.cr4', '24192.cr8', '24192.cr11', '24192.cr14', '24192.cr15', '24192.cr17', '24192.cx2', '24192.cx5', '24192.cx9', '24192.cx12', '24192.cx14', '24192.cx15', '24192.cy3', '24192.cy5', '24192.cy9', '24192.dn1', '24192.dn2', '24192.dn7', '24192.dn9', '24192.dn10', '24192.dn11', '24192.dq2', '24192.dq3'], 'contains': ['96768.g2', '96768.h1', '96768.i2', '96768.n2', '96768.n3', '96768.q1', '96768.q2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7082, -1, 8405, -1], 'generators': [121, 355693695396487, 355687468017846], 'label': '387072.a.48384.bc8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249334
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g6', '24192.g9', '24192.g16', '24192.p12', '24192.p13', '24192.q2', '24192.r6', '24192.bu6', '24192.cr4', '24192.cr9', '24192.cr11', '24192.cr13', '24192.cr20', '24192.cx1', '24192.cx6', '24192.cx11', '24192.cx12', '24192.cx15', '24192.cx16', '24192.cy6', '24192.cy10', '24192.dn2', '24192.dn6', '24192.dn10', '24192.dn11', '24192.dn12', '24192.dn13', '24192.dq2'], 'contains': ['96768.g1', '96768.h1', '96768.i2', '96768.n1', '96768.n3', '96768.q1', '96768.q2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6671, -1, 8377, -1], 'generators': [121, 355693695396487, 355687428463921], 'label': '387072.a.48384.bc9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249335
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc12', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g10', '24192.g12', '24192.g15', '24192.p10', '24192.p14', '24192.q1', '24192.r6', '24192.bu3', '24192.cr8', '24192.cr9', '24192.cr16', '24192.cr18', '24192.cr19', '24192.cr21', '24192.cx5', '24192.cx6', '24192.cx8', '24192.cx11', '24192.cx16', '24192.cx17', '24192.cy1', '24192.cy7', '24192.cy8', '24192.dn1', '24192.dn7', '24192.dn5', '24192.dn8', '24192.dn9', '24192.dn10', '24192.dq3'], 'contains': ['96768.g2', '96768.h1', '96768.i1', '96768.n2', '96768.q1', '96768.q2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6424, -1, 8391, -1], 'generators': [121, 355693695396487, 356995102464007], 'label': '387072.a.48384.bc12', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc12', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc12', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249336
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc13', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p1', '24192.p2', '24192.p6', '24192.p7', '24192.p8', '24192.p9', '24192.r2', '24192.br5', '24192.cm6', '24192.cm4', '24192.cr2', '24192.cr3', '24192.cr6', '24192.cr4', '24192.cr5', '24192.cr9', '24192.cr14', '24192.cr16', '24192.dn1', '24192.dn3', '24192.dn4', '24192.dn6', '24192.dn5', '24192.dn8', '24192.dn9', '24192.dn11', '24192.dn12', '24192.do6'], 'contains': ['96768.g1', '96768.g2', '96768.q1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5773, -1, 8194, -1], 'generators': [121, 356995142743680, 357001329489961], 'label': '387072.a.48384.bc13', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bc13', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc13', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249337
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc14', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p3', '24192.p5', '24192.p7', '24192.r4', '24192.br4', '24192.cg1', '24192.ci2', '24192.cm5', '24192.cr2', '24192.cr7', '24192.cr8', '24192.cr15', '24192.cr21', '24192.dn1', '24192.dn6', '24192.dn7', '24192.dn8', '24192.dn10', '24192.dn11', '24192.dn14', '24192.do6'], 'contains': ['96768.g2', '96768.q1', '96768.q2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6153, -1, 8180, -1], 'generators': [121, 355687468380841, 357001329489961], 'label': '387072.a.48384.bc14', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bc14', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc14', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249338
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bc15', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p4', '24192.p5', '24192.p9', '24192.r4', '24192.br3', '24192.cg2', '24192.ci1', '24192.cm7', '24192.cr3', '24192.cr11', '24192.cr12', '24192.cr18', '24192.cr20', '24192.dn2', '24192.dn5', '24192.dn9', '24192.dn10', '24192.dn12', '24192.dn13', '24192.dn14', '24192.do4'], 'contains': ['96768.g1', '96768.g2', '96768.q1', '96768.q2', '96768.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6271, -1, 8166, -1], 'generators': [355687428463926, 121, 357001329489961], 'label': '387072.a.48384.bc15', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bc15', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bc15', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249339
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p1', '24192.p9', '24192.q3', '24192.q4', '24192.bv3', '24192.cn1', '24192.cq1', '24192.cr7', '24192.cr5', '24192.cr20', '24192.cr21', '24192.cy3', '24192.cy6', '24192.cy7', '24192.cy8', '24192.cy9', '24192.do2', '24192.do3', '24192.do5', '24192.do6'], 'contains': ['96768.g2', '96768.h1', '96768.q1', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5533, -1, 8363, -1], 'generators': [121, 355693695396487, 356995142385847], 'label': '387072.a.48384.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bd1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249340
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bd3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p3', '24192.p6', '24192.q3', '24192.q4', '24192.bv2', '24192.co2', '24192.cp2', '24192.cr6', '24192.cr9', '24192.cr15', '24192.cr17', '24192.cy4', '24192.cy5', '24192.cy6', '24192.cy7', '24192.cy8', '24192.do1', '24192.do4', '24192.do5', '24192.do6'], 'contains': ['96768.g2', '96768.h1', '96768.q1', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5588, -1, 8464, -1], 'generators': [356995102831927, 121, 355693695396487], 'label': '387072.a.48384.bd3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bd3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249341
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p2', '24192.p4', '24192.q2', '24192.bv1', '24192.co1', '24192.cp1', '24192.cr4', '24192.cr8', '24192.cr12', '24192.cr19', '24192.cy1', '24192.cy2', '24192.cy3', '24192.cy4', '24192.do1', '24192.do3', '24192.do6'], 'contains': ['96768.g2', '96768.h1', '96768.q1', '96768.r1', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6682, -1, 8566, -1], 'generators': [356995102831920, 121, 355693695396487], 'label': '387072.a.48384.bd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bd3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bd2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249342
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.b1', '756.d1'], 'contains': ['3024.c2', '3024.c1', '3024.c7', '3024.c8', '3024.d1', '3024.d2', '3024.d4', '3024.d3', '3024.e2', '3024.f1', '3024.y1', '3024.y3', '3024.z1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2265, -1, 3899, -1], 'generators': [5160, 121, 1108948190077416, 357001329484801, 4538937516860177, 356995102464000, 363007, 1307674731001], 'label': '387072.a.1512.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.j1', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249343
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bd4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p5', '24192.p7', '24192.p8', '24192.q1', '24192.q2', '24192.q3', '24192.q4', '24192.bv4', '24192.cr10', '24192.cr11', '24192.cr13', '24192.cr14', '24192.cr16', '24192.cr18', '24192.cy1', '24192.cy3', '24192.cy5', '24192.cy6', '24192.cy7', '24192.cy8', '24192.cy9', '24192.cy10', '24192.do2', '24192.do4', '24192.do5', '24192.do6'], 'contains': ['96768.g1', '96768.h1', '96768.q1', '96768.q2', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6963, -1, 8538, -1], 'generators': [121, 355693695396487, 356995142748840], 'label': '387072.a.48384.bd4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bd4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bd4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249344
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.c1', '24192.bp1', '24192.cc1', '24192.cs2', '24192.cs1', '24192.dr1'], 'contains': ['96768.i2', '96768.j1', '96768.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [1912, -1, 5044, -1], 'generators': [754568475898297, 355693695038640, 356995102464000], 'label': '387072.a.48384.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.cz1', 'old_label': '48384.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.be1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249345
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p1', '24192.p4', '24192.r7', '24192.bu1', '24192.bv3', '24192.cs1', '24192.ct1', '24192.cx3', '24192.cx1', '24192.cx8', '24192.cy5', '24192.cy10', '24192.dn2', '24192.dn4', '24192.dp2', '24192.dp5', '24192.dq2', '24192.dt2', '24192.dt3', '24192.du2'], 'contains': ['96768.g1', '96768.h1', '96768.i2', '96768.l1', '96768.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4258, -1, 7631, -1], 'generators': [121, 355693655116800, 356995102469167], 'label': '387072.a.48384.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bf1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249346
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p1', '24192.p7', '24192.r5', '24192.bu2', '24192.bv3', '24192.cs2', '24192.ct2', '24192.cx4', '24192.cx2', '24192.cx11', '24192.cy2', '24192.cy7', '24192.dn6', '24192.dn7', '24192.dn5', '24192.dp1', '24192.dp6', '24192.dq4', '24192.dt1', '24192.dt2', '24192.du2'], 'contains': ['96768.g2', '96768.h1', '96768.i2', '96768.l1', '96768.n2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4241, -1, 7617, -1], 'generators': [121, 355687468012926, 355693695396487], 'label': '387072.a.48384.bf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bf2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bf2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249347
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bf4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p3', '24192.p8', '24192.p9', '24192.r3', '24192.r6', '24192.bu5', '24192.bv4', '24192.cx3', '24192.cx4', '24192.cx5', '24192.cx6', '24192.cx14', '24192.cx15', '24192.cy3', '24192.cy4', '24192.cy8', '24192.dn1', '24192.dn4', '24192.dn6', '24192.dn7', '24192.dn5', '24192.dp2', '24192.dp3', '24192.dp4', '24192.dq1', '24192.dq3', '24192.dt1', '24192.dt2', '24192.dt4', '24192.du2'], 'contains': ['96768.g2', '96768.h1', '96768.i1', '96768.l1', '96768.n2', '96768.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4588, -1, 7847, -1], 'generators': [121, 355693695396487, 355687428096006], 'label': '387072.a.48384.bf4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bf3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bf4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249348
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bf3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p2', '24192.p5', '24192.p6', '24192.r5', '24192.r7', '24192.bu4', '24192.bv2', '24192.cx1', '24192.cx2', '24192.cx5', '24192.cx6', '24192.cx7', '24192.cx10', '24192.cy1', '24192.cy6', '24192.cy9', '24192.dn1', '24192.dn2', '24192.dn3', '24192.dn5', '24192.dn13', '24192.dp1', '24192.dp3', '24192.dp5', '24192.dq2', '24192.dq4', '24192.dt1', '24192.dt3', '24192.dt4', '24192.du2'], 'contains': ['96768.g1', '96768.g2', '96768.h1', '96768.i2', '96768.l1', '96768.n2', '96768.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4694, -1, 7819, -1], 'generators': [121, 355693695396487, 355687428459006], 'label': '387072.a.48384.bf3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bf4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bf3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249349
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bf5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p4', '24192.p5', '24192.p8', '24192.r5', '24192.r7', '24192.bu6', '24192.bv4', '24192.cx7', '24192.cx8', '24192.cx9', '24192.cx13', '24192.cx15', '24192.cx16', '24192.cy1', '24192.cy7', '24192.cy8', '24192.dn3', '24192.dn4', '24192.dn6', '24192.dn5', '24192.dn14', '24192.dp1', '24192.dp4', '24192.dp5', '24192.dq3', '24192.dt1', '24192.dt2', '24192.dt4', '24192.du1'], 'contains': ['96768.g1', '96768.g2', '96768.h1', '96768.i1', '96768.l1', '96768.n2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4581, -1, 7805, -1], 'generators': [121, 355687468375681, 355693695396487], 'label': '387072.a.48384.bf5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bf5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bf5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249350
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bf6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p6', '24192.p7', '24192.p9', '24192.r6', '24192.bu3', '24192.bv1', '24192.cx10', '24192.cx11', '24192.cx12', '24192.cx13', '24192.cx14', '24192.cx17', '24192.cy3', '24192.cy5', '24192.cy6', '24192.dn2', '24192.dn3', '24192.dn4', '24192.dn6', '24192.dn13', '24192.dn14', '24192.dp3', '24192.dp4', '24192.dp6', '24192.dq2', '24192.dq4', '24192.dt1', '24192.dt3', '24192.du1'], 'contains': ['96768.g1', '96768.g2', '96768.h1', '96768.i2', '96768.l1', '96768.n1', '96768.n2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4711, -1, 7898, -1], 'generators': [121, 355687428459001, 355693695396487], 'label': '387072.a.48384.bf6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bf6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bf6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249351
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p10', '24192.p12', '24192.p11', '24192.p13', '24192.s2', '24192.bw1', '24192.bw2', '24192.cy1', '24192.cy3', '24192.cy5', '24192.cy6', '24192.cy7', '24192.cy8', '24192.dn1', '24192.dn2', '24192.dn3', '24192.dn4', '24192.dn6', '24192.dn5', '24192.do1', '24192.do3', '24192.do5', '24192.dq1', '24192.dq2', '24192.dq3', '24192.dq4'], 'contains': ['96768.h1', '96768.l1', '96768.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4747, -1, 8025, -1], 'generators': [121, 355693695396487, 355687468380846], 'label': '387072.a.48384.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bg1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249352
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p14', '24192.s1', '24192.bw2', '24192.cu1', '24192.cu3', '24192.cu2', '24192.cv1', '24192.cw2', '24192.cw1', '24192.cy2', '24192.cy4', '24192.cy9', '24192.cy10', '24192.dn7', '24192.dn13', '24192.dn14', '24192.do5', '24192.dq2', '24192.dq3'], 'contains': ['96768.h1', '96768.l1', '96768.q2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [4604, -1, 7833, -1], 'generators': [121, 355693655116800, 355687468380846], 'label': '387072.a.48384.bg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '48384.bg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bg2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249353
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.j2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.a1', '756.b1', '756.d1'], 'contains': ['3024.c4', '3024.c3', '3024.c6', '3024.c5', '3024.d1', '3024.d2', '3024.d5', '3024.d3', '3024.e1', '3024.e2', '3024.f1', '3024.y3', '3024.z1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2131, -1, 3750, -1], 'generators': [1307674373161, 121, 4540245191228183, 356995102464000, 7, 1108948190077423, 357001329489961, 363000], 'label': '387072.a.1512.j2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '1512.j2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.j2', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249354
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.h2', '24192.cu3', '24192.cz1', '24192.da1', '24192.db1', '24192.de1', '24192.dv1'], 'contains': ['96768.l1', '96768.s1', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2174, -1, 5532, -1], 'generators': [355687428101040, 357001329489840, 1108948190077302], 'label': '387072.a.48384.bh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.s1', 'old_label': '48384.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bh2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249355
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.h1', '24192.cu2', '24192.cz1', '24192.da1', '24192.db2', '24192.de2', '24192.dv1'], 'contains': ['96768.l1', '96768.s1', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2168, -1, 5544, -1], 'generators': [5041, 1110255864440383, 6227025961], 'label': '387072.a.48384.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.s1', 'old_label': '48384.bh2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249356
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.i1', '24192.bs1', '24192.cs2', '24192.cs1', '24192.cu1', '24192.da1', '24192.db3', '24192.df1', '24192.dr1', '24192.dv1'], 'contains': ['96768.j1', '96768.l1', '96768.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1961, -1, 5031, -1], 'generators': [357001329489840, 356995102464000, 1110255864440383], 'label': '387072.a.48384.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '48384.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bi1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66249357
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.l1', '24192.bs1', '24192.bt1', '24192.cs2', '24192.cs1', '24192.ct2', '24192.ct1', '24192.cv1', '24192.dc1', '24192.dh1', '24192.dr1', '24192.ds1', '24192.dw1'], 'contains': ['96768.k1', '96768.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2039, -1, 5485, -1], 'generators': [1110262131014976, 357001329489840, 356995102464000], 'label': '387072.a.48384.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '48384.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bj1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249358
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.n2', '24192.bt1', '24192.ct2', '24192.ct1', '24192.cu1', '24192.cz1', '24192.db3', '24192.dj1', '24192.ds1', '24192.dv1'], 'contains': ['96768.l1', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2186, -1, 5562, -1], 'generators': [754574663365062, 357001329489840, 356995102464000], 'label': '387072.a.48384.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '48384.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bk1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66249359
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.o2', '24192.o4', '24192.p11', '24192.bu5', '24192.cx1', '24192.cx2', '24192.cx9', '24192.cx12', '24192.db2', '24192.dd2', '24192.dk1', '24192.dk3', '24192.dk5', '24192.dn2', '24192.dn13', '24192.dp1', '24192.dp3', '24192.dp6', '24192.dx1', '24192.dx2', '24192.dy2'], 'contains': ['96768.i2', '96768.l1', '96768.u1', '96768.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4318, -1, 7502, -1], 'generators': [121, 355687428459001, 357001329484801], 'label': '387072.a.48384.bl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bl2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249360
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.o1', '24192.o6', '24192.p12', '24192.bu4', '24192.cx3', '24192.cx4', '24192.cx16', '24192.cx17', '24192.db1', '24192.dd1', '24192.dk1', '24192.dk3', '24192.dk4', '24192.dn3', '24192.dn7', '24192.dp3', '24192.dp4', '24192.dp5', '24192.dx2', '24192.dy2'], 'contains': ['96768.i1', '96768.i2', '96768.l1', '96768.u1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3831, -1, 7565, -1], 'generators': [121, 355687428101161, 357001329484801], 'label': '387072.a.48384.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bl2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bl1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249361
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bl3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.o3', '24192.o5', '24192.p13', '24192.bu2', '24192.bu1', '24192.cx5', '24192.cx6', '24192.cx13', '24192.db3', '24192.dc1', '24192.dk3', '24192.dk5', '24192.dn5', '24192.dn14', '24192.dp2', '24192.dp4', '24192.dp5', '24192.dp6', '24192.dx2', '24192.dy2'], 'contains': ['96768.i1', '96768.i2', '96768.l1', '96768.u2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3686, -1, 7488, -1], 'generators': [121, 357001329484801, 356995102469160], 'label': '387072.a.48384.bl3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bl3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bl3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249362
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bl4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.o4', '24192.o5', '24192.o6', '24192.p10', '24192.p14', '24192.bu3', '24192.bu6', '24192.cx7', '24192.cx8', '24192.cx10', '24192.cx11', '24192.cx14', '24192.cx15', '24192.dk2', '24192.dk3', '24192.dk4', '24192.dk5', '24192.dn1', '24192.dn4', '24192.dn6', '24192.dp1', '24192.dp2', '24192.dp3', '24192.dp4', '24192.dp5', '24192.dx2', '24192.dy1'], 'contains': ['96768.i1', '96768.i2', '96768.l1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3823, -1, 7645, -1], 'generators': [121, 357001329484801, 356995102827000], 'label': '387072.a.48384.bl4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bl4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bl4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249363
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.r1', '16128.s1', '16128.t1', '16128.u1', '24192.q1', '24192.r3', '24192.bz1', '24192.dn12', '24192.dp5', '24192.du1', '24192.dy1'], 'contains': ['96768.g1', '96768.i1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 168, 'diagramx': [3535, -1, 6275, -1], 'generators': [121, 357001329847801, 356995102827000], 'label': '387072.a.48384.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '168.c1', 'old_label': '48384.bm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bm1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249364
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.c1', '756.b1', '756.d1', '756.f1'], 'contains': ['3024.d6', '3024.e3', '3024.f1', '3024.q1', '3024.s1', '3024.z1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [1854, -1, 3531, -1], 'generators': [1108948190072263, 4540245191228183, 121, 1307674368001, 357001329847801, 356995102464000, 367920, 363007], 'label': '387072.a.1512.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '1512.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.k1', 'subgroup_fusion': None, 'weyl_group': '1536.408527554'}
  • id: 66249365
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.s2', '24192.r1', '24192.r2', '24192.bv3', '24192.df1', '24192.dh1', '24192.di1', '24192.dj1', '24192.dk1', '24192.dk2', '24192.dn1', '24192.dn14', '24192.do1', '24192.dt1', '24192.dt2', '24192.dy2'], 'contains': ['96768.g2', '96768.l1', '96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3983, -1, 7131, -1], 'generators': [121, 356995102464000, 357001329489961], 'label': '387072.a.48384.bm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '48384.bm2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bm2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249367
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bm4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.q2', '24192.q3', '24192.q4', '24192.r5', '24192.r6', '24192.r7', '24192.bz2', '24192.dn8', '24192.dn9', '24192.dn10', '24192.dn11', '24192.dn12', '24192.dp1', '24192.dp2', '24192.dp3', '24192.dp4', '24192.dp5', '24192.dp6', '24192.du1', '24192.du2', '24192.dy1', '24192.dy2'], 'contains': ['96768.g1', '96768.g2', '96768.i1', '96768.i2', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3618, -1, 7306, -1], 'generators': [121, 355687428096001, 357001329489961], 'label': '387072.a.48384.bm4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bm4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bm4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249368
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bm5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.r2', '24192.r4', '24192.bv1', '24192.bv4', '24192.de2', '24192.dg2', '24192.dk3', '24192.dk4', '24192.dn2', '24192.dn3', '24192.dn6', '24192.dn5', '24192.dn13', '24192.do5', '24192.dt1', '24192.dt2', '24192.dt3', '24192.dt4', '24192.dy1', '24192.dy2'], 'contains': ['96768.g1', '96768.g2', '96768.l1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4136, -1, 7252, -1], 'generators': [355687468012921, 121, 355693695396480], 'label': '387072.a.48384.bm5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bm5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bm5', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249369
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.v1', '24192.q1', '24192.q3', '24192.s1', '24192.s2', '24192.ca1', '24192.dn10', '24192.dn11', '24192.do6', '24192.dq1', '24192.dq3', '24192.dq4', '24192.dt1', '24192.du1', '24192.du2'], 'contains': ['96768.g2', '96768.h1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3998, -1, 7238, -1], 'generators': [121, 355687428096001, 357001369764481], 'label': '387072.a.48384.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.bn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bn1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249370
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.q2', '24192.q4', '24192.s2', '24192.ca2', '24192.dl1', '24192.dm1', '24192.dn8', '24192.dn9', '24192.dn12', '24192.do2', '24192.do4', '24192.do6', '24192.dq2', '24192.dq3', '24192.dq4', '24192.dt2', '24192.dt3', '24192.dt4', '24192.du1', '24192.du2'], 'contains': ['96768.g1', '96768.g2', '96768.h1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4161, -1, 7530, -1], 'generators': [121, 355693695396487, 355687468375686], 'label': '387072.a.48384.bn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bn2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bn2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249371
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.w1', '16128.x1', '24192.bx1', '24192.dl1', '24192.dr1'], 'contains': ['96768.j1', '96768.k1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [1927, -1, 5018, -1], 'generators': [1307714284800, 356995102464000, 753260761613497], 'label': '387072.a.48384.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.t1', 'old_label': '48384.bo1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bo1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249372
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.y1', '24192.r3', '24192.r5', '24192.bw1', '24192.ca1', '24192.dp1', '24192.dp4', '24192.dq1', '24192.dq2', '24192.dt1', '24192.dt3', '24192.dx1', '24192.dx2', '24192.dy1', '24192.dy2', '24192.dz1'], 'contains': ['96768.i2', '96768.l1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3224, -1, 6936, -1], 'generators': [121, 357001329484801, 356995102464000], 'label': '387072.a.48384.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.bp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bp1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249373
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.r6', '24192.r7', '24192.bw2', '24192.ca2', '24192.dp2', '24192.dp3', '24192.dp5', '24192.dp6', '24192.dq3', '24192.dq4', '24192.dr1', '24192.ds1', '24192.dt1', '24192.dt2', '24192.dt4', '24192.dx2', '24192.dy1', '24192.dy2', '24192.dz1'], 'contains': ['96768.i1', '96768.i2', '96768.l1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3290, -1, 6964, -1], 'generators': [121, 355693655116800, 356995102464000], 'label': '387072.a.48384.bp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bp2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249374
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.z1', '24192.s1', '24192.s2', '24192.cb1', '24192.du1', '24192.du2', '24192.dv1', '24192.dw1', '24192.dy1', '24192.dy2', '24192.dz1'], 'contains': ['96768.l1', '96768.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2805, -1, 5983, -1], 'generators': [121, 355687428096001, 355693655116800], 'label': '387072.a.48384.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '48384.bq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bq1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249375
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.c1', '756.e1'], 'contains': ['3024.g1', '3024.ba1', '3024.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3333, -1, 5905, -1], 'generators': [754574702924016, 4894618758220222, 121, 1307674368001, 357001329847801, 356995102464000, 367920, 363007], 'label': '387072.a.1512.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '1512.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.l1', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 66249376
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.ba1', '24192.d1', '24192.cd1', '24192.ef3'], 'contains': ['96768.n1', '96768.o1', '96768.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [8636, -1, 7201, -1], 'generators': [40284721, 1110262091466102, 6266937726], 'label': '387072.a.48384.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.d1', 'old_label': '48384.br1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.br1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249377
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.d2', '24192.cd2', '24192.cd1', '24192.ef1', '24192.ef4', '24192.ef2'], 'contains': ['96768.n3', '96768.o1', '96768.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [8641, -1, 9013, -1], 'generators': [754574702919096, 355687468017841, 357001329489961], 'label': '387072.a.48384.br2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.v1', 'old_label': '48384.br2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.br2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249378
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bs2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.h2', '24192.cg2', '24192.cu1', '24192.cu2', '24192.ea1', '24192.eb1', '24192.ec1'], 'contains': ['96768.q2', '96768.s1', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2703, -1, 5693, -1], 'generators': [355687428464047, 357001329489840, 1108948190077302], 'label': '387072.a.48384.bs2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.s1', 'old_label': '48384.bs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bs2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249379
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.h1', '24192.cg1', '24192.cu1', '24192.cu3', '24192.ea1', '24192.eb1', '24192.ec2'], 'contains': ['96768.q2', '96768.s1', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2683, -1, 5681, -1], 'generators': [357001329484927, 356995102832041, 1110255864440383], 'label': '387072.a.48384.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.s1', 'old_label': '48384.bs2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bs1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249380
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.i1', '24192.ch1', '24192.cu3', '24192.cu2', '24192.eb1', '24192.ec3', '24192.ef1', '24192.ef4', '24192.ef2', '24192.ef3'], 'contains': ['96768.o1', '96768.q2', '96768.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3852, -1, 7075, -1], 'generators': [356995102827007, 357001329489961, 1110255864440383], 'label': '387072.a.48384.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '48384.bt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bt1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66249381
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.m1', '24192.ck1', '24192.cw2', '24192.cw1', '24192.ed1', '24192.ef1', '24192.ef4', '24192.ef2', '24192.ef3', '24192.eg1', '24192.eg4', '24192.eg2', '24192.eg3'], 'contains': ['96768.p1', '96768.q2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [8951, -1, 9533, -1], 'generators': [754574702919096, 356995102827007, 357001329489961], 'label': '387072.a.48384.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '48384.bu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bu1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249382
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.n2', '24192.cl1', '24192.cu3', '24192.cu2', '24192.ea1', '24192.ec3', '24192.eg1', '24192.eg4', '24192.eg2', '24192.eg3'], 'contains': ['96768.q2', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5168, -1, 7879, -1], 'generators': [356995102827007, 753260761981296, 357001329489961], 'label': '387072.a.48384.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '48384.bv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bv1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 66249383
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g2', '24192.g5', '24192.g6', '24192.g15', '24192.o6', '24192.t5', '24192.t4', '24192.t6', '24192.t7', '24192.cm3', '24192.cm6', '24192.cm4', '24192.cr5', '24192.cr8', '24192.cr15', '24192.cr16', '24192.cx4', '24192.cx5', '24192.cx7', '24192.cx8', '24192.cx10', '24192.cx15', '24192.dn6', '24192.dn5', '24192.eh6', '24192.eh3', '24192.eh4'], 'contains': ['96768.n2', '96768.n3', '96768.q1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8000, -1, 8608, -1], 'generators': [355693695396487, 40284726, 356995102464007], 'label': '387072.a.48384.bw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249384
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g1', '24192.g10', '24192.g11', '24192.g17', '24192.o6', '24192.t1', '24192.t2', '24192.t5', '24192.t6', '24192.cm2', '24192.cm6', '24192.cm4', '24192.cr7', '24192.cr4', '24192.cr13', '24192.cr17', '24192.cx3', '24192.cx4', '24192.cx1', '24192.cx5', '24192.cx7', '24192.cx15', '24192.dn1', '24192.dn2', '24192.eh5', '24192.eh3', '24192.eh4'], 'contains': ['96768.n2', '96768.n3', '96768.q1', '96768.u1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7911, -1, 8594, -1], 'generators': [355687468375681, 40284726, 357001369764486], 'label': '387072.a.48384.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bw2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249385
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g4', '24192.g9', '24192.g11', '24192.g16', '24192.o5', '24192.t3', '24192.t5', '24192.t4', '24192.cm5', '24192.cm6', '24192.cm7', '24192.cr6', '24192.cr8', '24192.cr11', '24192.cr20', '24192.cx4', '24192.cx1', '24192.cx6', '24192.cx10', '24192.cx12', '24192.cx13', '24192.cx14', '24192.dn2', '24192.dn4', '24192.eh2', '24192.eh5', '24192.eh6', '24192.eh4'], 'contains': ['96768.n1', '96768.n2', '96768.n3', '96768.q1', '96768.u2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7714, -1, 8622, -1], 'generators': [40284726, 356995142748840, 357001369764486], 'label': '387072.a.48384.bw4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bw3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249386
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.d1', '756.c1', '756.d1', '756.g1'], 'contains': ['3024.y1', '3024.y2', '3024.y3', '3024.z1', '3024.bb1', '3024.bc1', '3024.bd1', '3024.bg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2972, -1, 5306, -1], 'generators': [5160, 121, 1108948190072263, 357001329484801, 356995102464000, 7, 1307674368001, 363000], 'label': '387072.a.1512.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '1512.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.m1', 'subgroup_fusion': None, 'weyl_group': '384.5833'}
  • id: 66249387
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g3', '24192.g8', '24192.g6', '24192.g14', '24192.o5', '24192.t3', '24192.t4', '24192.t7', '24192.cm5', '24192.cm4', '24192.cm7', '24192.cr4', '24192.cr9', '24192.cr14', '24192.cr21', '24192.cx7', '24192.cx10', '24192.cx11', '24192.cx13', '24192.cx14', '24192.cx15', '24192.cx17', '24192.dn3', '24192.dn6', '24192.eh6', '24192.eh4'], 'contains': ['96768.n1', '96768.n2', '96768.q1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7572, -1, 8510, -1], 'generators': [355693695396487, 40284726, 356995142385847], 'label': '387072.a.48384.bw3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bw4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249388
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g7', '24192.g10', '24192.g13', '24192.g14', '24192.o4', '24192.t5', '24192.t4', '24192.t6', '24192.cm3', '24192.cm5', '24192.cm6', '24192.cm7', '24192.cr7', '24192.cr9', '24192.cr12', '24192.cr18', '24192.cx3', '24192.cx2', '24192.cx5', '24192.cx6', '24192.cx7', '24192.cx9', '24192.cx11', '24192.cx13', '24192.dn4', '24192.dn5', '24192.eh1', '24192.eh6', '24192.eh4'], 'contains': ['96768.n2', '96768.n3', '96768.q1', '96768.u2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7792, -1, 8524, -1], 'generators': [40284726, 355687428101166, 357001369764486], 'label': '387072.a.48384.bw6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bw5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249389
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g7', '24192.g12', '24192.o3', '24192.t4', '24192.t6', '24192.cm5', '24192.cm7', '24192.cr11', '24192.cr14', '24192.cx1', '24192.cx5', '24192.cx8', '24192.cx15', '24192.dn7', '24192.dn13', '24192.ec3', '24192.ed1', '24192.eh1', '24192.eh2', '24192.eh5', '24192.eh3'], 'contains': ['96768.n2', '96768.n3', '96768.q2', '96768.u2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8213, -1, 8636, -1], 'generators': [355687468017841, 40284726, 357001369764486], 'label': '387072.a.48384.bw7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bw6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw7', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249390
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g8', '24192.g9', '24192.o1', '24192.t7', '24192.cm1', '24192.cm5', '24192.cr13', '24192.cr16', '24192.cx11', '24192.cx12', '24192.cx14', '24192.cx16', '24192.cx17', '24192.dn13', '24192.dn14', '24192.ec1', '24192.ee1', '24192.eh5', '24192.eh6'], 'contains': ['96768.n1', '96768.n2', '96768.q2', '96768.u1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7454, -1, 8419, -1], 'generators': [355687428459001, 355693695396487, 40284726], 'label': '387072.a.48384.bw8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bw7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw8', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249391
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g5', '24192.g12', '24192.g13', '24192.g16', '24192.o4', '24192.t1', '24192.t2', '24192.t6', '24192.t7', '24192.cm2', '24192.cm5', '24192.cm4', '24192.cm7', '24192.cr6', '24192.cr5', '24192.cr10', '24192.cr19', '24192.cx3', '24192.cx4', '24192.cx2', '24192.cx8', '24192.cx13', '24192.cx14', '24192.cx16', '24192.dn1', '24192.dn3', '24192.eh6', '24192.eh3', '24192.eh4'], 'contains': ['96768.n2', '96768.n3', '96768.q1', '96768.u1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7966, -1, 8580, -1], 'generators': [40284726, 355687428459006, 357001369764486], 'label': '387072.a.48384.bw5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.bw8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249392
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bw9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g15', '24192.g17', '24192.o2', '24192.t4', '24192.t6', '24192.cm1', '24192.cm7', '24192.cr10', '24192.cr18', '24192.cx2', '24192.cx6', '24192.cx9', '24192.cx16', '24192.cx17', '24192.dn7', '24192.dn14', '24192.ec2', '24192.ee2', '24192.eh3', '24192.eh4'], 'contains': ['96768.n2', '96768.q2', '96768.u1', '96768.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7448, -1, 8348, -1], 'generators': [355693695396487, 40284726, 355687428459006], 'label': '387072.a.48384.bw9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.bw9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bw9', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249393
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bb1', '16128.bc1', '24192.d1', '24192.co1', '24192.ef2'], 'contains': ['96768.o1', '96768.p1', '96768.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [8970, -1, 8987, -1], 'generators': [753266989002223, 355693695038766, 356995102827007], 'label': '387072.a.48384.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.d1', 'old_label': '48384.bx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249394
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bd1', '24192.d2', '24192.co2', '24192.co1', '24192.ef1', '24192.ef4', '24192.ef3'], 'contains': ['96768.o1', '96768.p1', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [8959, -1, 9111, -1], 'generators': [754574702919096, 355687468380846, 357001329489961], 'label': '387072.a.48384.bx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.v1', 'old_label': '48384.bx2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bx2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249395
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.be1', '24192.p12', '24192.p11', '24192.t1', '24192.t2', '24192.t3', '24192.cr1', '24192.cr2', '24192.cr3', '24192.cr6', '24192.cr7', '24192.cr4', '24192.cr5', '24192.cr16', '24192.cr18', '24192.do1'], 'contains': ['96768.q1', '96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8190, -1, 8552, -1], 'generators': [357001369764481, 40284726, 356995102827007], 'label': '387072.a.48384.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.by1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249396
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bf1', '24192.p11', '24192.p13', '24192.t5', '24192.cr3', '24192.cr6', '24192.cr7', '24192.cr8', '24192.cr9', '24192.cr10', '24192.cr14', '24192.do3'], 'contains': ['96768.q1', '96768.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8196, -1, 8946, -1], 'generators': [356995142380927, 357001369764481, 40284726], 'label': '387072.a.48384.by2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.m1', 'old_label': '48384.by2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249397
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.e1', '756.c1', '756.g1'], 'contains': ['3024.ba1', '3024.be1', '3024.bf1', '3024.bg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3528, -1, 6136, -1], 'generators': [5160, 121, 754574702919096, 357001329484801, 356995102464000, 7, 1307674368001, 363000], 'label': '387072.a.1512.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '1512.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.n1', 'subgroup_fusion': None, 'weyl_group': '384.5833'}
  • id: 66249398
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bf2', '24192.g15', '24192.p3', '24192.cr11', '24192.cr17', '24192.cr19', '24192.cy9', '24192.cy10', '24192.ef1', '24192.eg1', '24192.eh1', '24192.eh5'], 'contains': ['96768.n3', '96768.q2', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [8782, -1, 9244, -1], 'generators': [40284726, 356995102464007, 355693655121967], 'label': '387072.a.48384.by3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '48384.by3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by3', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249399
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bf3', '24192.g5', '24192.g11', '24192.p5', '24192.cr5', '24192.cr9', '24192.cr10', '24192.cr16', '24192.cy3', '24192.cy7', '24192.eh1', '24192.eh4'], 'contains': ['96768.n2', '96768.q1', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8560, -1, 9026, -1], 'generators': [355693695396487, 40284726, 356995102827007], 'label': '387072.a.48384.by4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.m1', 'old_label': '48384.by4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by4', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249400
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g2', '24192.g4', '24192.g8', '24192.g11', '24192.g14', '24192.g17', '24192.p4', '24192.p6', '24192.p7', '24192.cr6', '24192.cr7', '24192.cr4', '24192.cr9', '24192.cr11', '24192.cr13', '24192.cr14', '24192.cr16', '24192.cr20', '24192.cr21', '24192.cy3', '24192.cy5', '24192.cy6', '24192.cy8', '24192.eh5', '24192.eh6', '24192.eh4'], 'contains': ['96768.n1', '96768.n2', '96768.n3', '96768.q1', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8208, -1, 8918, -1], 'generators': [355687468380841, 40284726, 357001369764486], 'label': '387072.a.48384.by6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.by5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249401
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g1', '24192.g7', '24192.g6', '24192.g13', '24192.g15', '24192.g16', '24192.p6', '24192.p7', '24192.p9', '24192.cr6', '24192.cr7', '24192.cr4', '24192.cr5', '24192.cr10', '24192.cr12', '24192.cr14', '24192.cr15', '24192.cr16', '24192.cr18', '24192.cy1', '24192.cy7', '24192.cy8', '24192.eh6', '24192.eh4'], 'contains': ['96768.n2', '96768.q1', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8201, -1, 8904, -1], 'generators': [355693695396487, 40284726, 356995142748840], 'label': '387072.a.48384.by5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.by6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249402
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g3', '24192.g9', '24192.p2', '24192.p4', '24192.cr4', '24192.cr8', '24192.cr12', '24192.cr19', '24192.cy1', '24192.cy2', '24192.cy3', '24192.cy4', '24192.ef2', '24192.eg2', '24192.eh1', '24192.eh3'], 'contains': ['96768.n2', '96768.n3', '96768.q1', '96768.q2', '96768.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8573, -1, 8974, -1], 'generators': [40284726, 356995102469167, 357001369764486], 'label': '387072.a.48384.by7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.by7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by7', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249403
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g7', '24192.g5', '24192.g10', '24192.g12', '24192.g14', '24192.g16', '24192.p1', '24192.p8', '24192.cr7', '24192.cr5', '24192.cr8', '24192.cr9', '24192.cr10', '24192.cr11', '24192.cr13', '24192.cr15', '24192.cr18', '24192.cr21', '24192.cy1', '24192.cy4', '24192.cy5', '24192.cy6', '24192.cy7', '24192.cy9', '24192.eh5', '24192.eh6', '24192.eh3', '24192.eh4'], 'contains': ['96768.n2', '96768.n3', '96768.q1', '96768.q2', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8459, -1, 8960, -1], 'generators': [40284726, 356995102827007, 357001369764486], 'label': '387072.a.48384.by8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.by8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249404
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g8', '24192.g12', '24192.g13', '24192.p2', '24192.p9', '24192.cr7', '24192.cr8', '24192.cr13', '24192.cr16', '24192.cr17', '24192.cr20', '24192.cy4', '24192.cy5', '24192.cy6', '24192.cy10', '24192.ef3', '24192.eg3', '24192.eh2', '24192.eh5', '24192.eh4'], 'contains': ['96768.n1', '96768.n3', '96768.q1', '96768.q2', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8565, -1, 9054, -1], 'generators': [355687468012921, 40284726, 357001369764486], 'label': '387072.a.48384.by10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.by9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by10', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249405
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.g6', '24192.g10', '24192.g17', '24192.p3', '24192.p5', '24192.cr5', '24192.cr9', '24192.cr13', '24192.cr14', '24192.cr17', '24192.cr18', '24192.cr19', '24192.cy2', '24192.cy5', '24192.cy8', '24192.cy9', '24192.ef4', '24192.eg4', '24192.eh2', '24192.eh6', '24192.eh3'], 'contains': ['96768.n2', '96768.n3', '96768.q1', '96768.q2', '96768.r2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8611, -1, 9040, -1], 'generators': [355687428459001, 40284726, 357001369764486], 'label': '387072.a.48384.by9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '48384.by10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by9', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249406
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.by11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.p10', '24192.p12', '24192.p14', '24192.p13', '24192.t4', '24192.t6', '24192.t7', '24192.cr2', '24192.cr3', '24192.cr4', '24192.cr5', '24192.cr8', '24192.cr9', '24192.cr10', '24192.cr11', '24192.cr12', '24192.cr13', '24192.cr14', '24192.cr15', '24192.cr16', '24192.cr17', '24192.cr18', '24192.cr19', '24192.cr20', '24192.cr21', '24192.do5'], 'contains': ['96768.q1', '96768.q2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8454, -1, 8932, -1], 'generators': [355687468012926, 357001369764481, 40284726], 'label': '387072.a.48384.by11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '48384.by11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.by11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249407
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.w1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.w1', '24192.cz1', '24192.da1', '24192.ea1', '24192.eb1'], 'contains': ['96768.s1', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2029, -1, 5341, -1], 'generators': [356995102464121, 4895932619324182, 1108948190072382], 'label': '387072.a.48384.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.bf1', 'old_label': '48384.bz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.bz1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249408
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.f1', '504.g1', '756.g1'], 'contains': ['3024.v1', '3024.x1', '3024.bc1', '3024.be1', '3024.bn1', '3024.bn2', '3024.bs1', '3024.bv1', '3024.bw1', '3024.cj1', '3024.cj2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5471, -1, 8075, -1], 'generators': [5160, 121, 1108948190072263, 356995142385847, 39921847, 1307674368001, 363007, 357001369406646], 'label': '387072.a.1512.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1512.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.o1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249409
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.y1', '24192.cz1', '24192.da1', '24192.ea1', '24192.eb1'], 'contains': ['96768.s1', '96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [1999, -1, 5323, -1], 'generators': [356995102464121, 4540245191228183, 1108948190072382], 'label': '387072.a.48384.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.bf1', 'old_label': '48384.ca1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ca1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249410
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.z1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bg1', '24192.z1', '24192.da1', '24192.eb1'], 'contains': ['96768.s1', '96768.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [1892, -1, 1748, -1], 'generators': [356995102464121, 753260761976262, 4538937516860182], 'label': '387072.a.48384.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.f1', 'old_label': '48384.cb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.cb1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249411
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bh1', '24192.bd1', '24192.cz1', '24192.ea1'], 'contains': ['96768.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [2179, -1, 5285, -1], 'generators': [356995102464121, 4894624944956183, 1108948190072382], 'label': '387072.a.48384.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.f1', 'old_label': '48384.cc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.cc1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249412
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bj1', '24192.bf1', '24192.cg2', '24192.db2', '24192.db3', '24192.de1', '24192.ec2', '24192.ec3'], 'contains': ['96768.s1', '96768.t1', '96768.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2827, -1, 6008, -1], 'generators': [357001329484801, 1110255864440383, 356995102469160], 'label': '387072.a.48384.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.br1', 'old_label': '48384.cd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.cd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249413
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.cd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.bf2', '24192.cg1', '24192.db1', '24192.db3', '24192.de2', '24192.ec1', '24192.ec3'], 'contains': ['96768.s1', '96768.t1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 6048, 'diagramx': [2716, -1, 5996, -1], 'generators': [356995102469041, 357001329484920, 1110255864440383], 'label': '387072.a.48384.cd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6048.br1', 'old_label': '48384.cd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.cd2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249414
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bi1', '24192.bg1', '24192.ch1', '24192.db2', '24192.db1', '24192.df1', '24192.ec2', '24192.ec1'], 'contains': ['96768.s1', '96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [2896, -1, 5668, -1], 'generators': [356995102464121, 357001329489840, 1110255864440383], 'label': '387072.a.48384.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.f1', 'old_label': '48384.ce1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ce1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249415
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24192.bj4', '24192.cl1', '24192.db2', '24192.db1', '24192.dd2', '24192.dd1', '24192.dj1', '24192.ec2', '24192.ec1', '24192.ee2', '24192.ee1'], 'contains': ['96768.t1', '96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3202, -1, 6336, -1], 'generators': [356995102464121, 754568436344263, 357001329489840], 'label': '387072.a.48384.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '48384.cf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.cf1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249416
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6912.b1', '16128.bk1', '24192.t2', '24192.bk1', '24192.bk2', '24192.cm1', '24192.cm2', '24192.cr1', '24192.dk1'], 'contains': ['96768.u1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [7905, -1, 7188, -1], 'generators': [355693695396480, 40284726, 355687428463921], 'label': '387072.a.48384.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.c1', 'old_label': '48384.cg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.cg1', 'subgroup_fusion': None, 'weyl_group': '21.1'}
  • id: 66249417
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.cg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bk2', '24192.t1', '24192.t4', '24192.t7', '24192.bk2', '24192.bk3', '24192.cm2', '24192.cm3', '24192.cm5', '24192.cm6', '24192.cm4', '24192.cr2', '24192.dk2', '24192.dk3', '24192.dk4'], 'contains': ['96768.u1', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [7436, -1, 8081, -1], 'generators': [356995102831920, 355693695396480, 40284726], 'label': '387072.a.48384.cg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.cg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.cg2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249418
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.cg3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.bk3', '24192.t3', '24192.t5', '24192.t6', '24192.bk3', '24192.bk4', '24192.cm1', '24192.cm3', '24192.cm5', '24192.cm6', '24192.cm7', '24192.cr3', '24192.dk1', '24192.dk3', '24192.dk5'], 'contains': ['96768.u1', '96768.u2', '96768.u3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [7442, -1, 8152, -1], 'generators': [355687468012926, 355693695396480, 40284726], 'label': '387072.a.48384.cg3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '48384.cg3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.cg3', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249419
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '84.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '28.a1'], 'contains': ['168.d1', '252.e1', '336.d1', '5376.e1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [6686, -1, 9854, -1], 'generators': [1307674368001, 7, 363000, 5160, 1120133873393272, 1867707711843263, 3022645625015455, 357001369769646, 121, 40284847, 356995142748847], 'label': '387072.a.84.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '84.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.b1', 'subgroup_fusion': None, 'weyl_group': '13824.s'}
  • id: 66249420
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.h1', '504.i1', '756.g1'], 'contains': ['3024.w1', '3024.x1', '3024.bd1', '3024.bf1', '3024.bt1', '3024.bu1', '3024.bw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3405, -1, 6071, -1], 'generators': [5160, 121, 754574702919096, 356995142385847, 39921847, 1307674368001, 363007, 357001369406646], 'label': '387072.a.1512.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1512.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.p1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249421
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '48384.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bo1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6912.c1', '16128.bl1', '24192.bo1'], 'contains': ['96768.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1152, 'diagramx': [785, -1, 79, -1], 'generators': [4127382519326656, 4895932619324303, 1110255864440383], 'label': '387072.a.48384.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1152.b1', 'old_label': '48384.ch1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48384.ch1', 'subgroup_fusion': None, 'weyl_group': '21.1'}
  • id: 66249422
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '55296.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13824.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6912.b1', '6912.c1', '18432.a1', '27648.a1', '27648.b1', '27648.c1'], 'contains': ['387072.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [11, -1, 605, -1], 'generators': [5633863716119633], 'label': '387072.a.55296.a1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '55296.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55296.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249423
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '64512.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9216.a1', '16128.g1', '16128.i1', '16128.i2', '16128.j1', '16128.k1', '32256.a1', '32256.b1', '32256.c1', '32256.c2', '32256.d1', '32256.e1', '32256.f1'], 'contains': ['129024.a1', '193536.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3856, -1, 809, -1], 'generators': [1864985503034449, 355693695401647], 'label': '387072.a.64512.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '64512.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64512.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249424
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '64512.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9216.b1', '16128.q1', '16128.q2', '16128.y1', '32256.a1', '32256.f1', '32256.g1', '32256.h1', '32256.i1', '32256.j1', '32256.k1'], 'contains': ['129024.a1', '193536.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [8857, -1, 970, -1], 'generators': [1864991769604248, 1307674373040], 'label': '387072.a.64512.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '64512.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64512.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249425
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '64512.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1344.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.s1', '16128.s2', '21504.a1', '32256.a1', '32256.n1', '32256.o1', '32256.q1', '32256.s1'], 'contains': ['129024.a1', '193536.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [9291, -1, 1546, -1], 'generators': [1509298074570535, 355693695033727], 'label': '387072.a.64512.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '64512.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64512.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249426
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '64512.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2688.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.o1', '16128.t1', '16128.be1', '21504.a1', '32256.b1', '32256.g1', '32256.s1'], 'contains': ['129024.a1', '193536.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [9497, -1, 1270, -1], 'generators': [1510605789223374, 357001329852726], 'label': '387072.a.64512.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.c1', 'old_label': '64512.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64512.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249427
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '64512.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10752.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.p1', '16128.u1', '16128.u2', '16128.bf1', '16128.bf2', '16128.bf3', '21504.a1', '32256.p1', '32256.r1', '32256.t1'], 'contains': ['129024.b1', '193536.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 5376, 'diagramx': [9869, -1, 9570, -1], 'generators': [356995142743806, 3022645625015455], 'label': '387072.a.64512.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5376.d1', 'old_label': '64512.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64512.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249428
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '64512.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.v1', '16128.z1', '16128.bg1', '16128.bh1', '16128.bk1', '16128.bk2', '16128.bk3', '32256.b1', '32256.c1', '32256.c2', '32256.g1', '32256.h1', '32256.n1'], 'contains': ['129024.a1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9047, -1, 993, -1], 'generators': [1510605788855454, 357001329484806], 'label': '387072.a.64512.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.x1', 'old_label': '64512.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64512.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249429
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '64512.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9216.c1', '16128.bi1', '16128.bl1', '21504.b1', '32256.d1', '32256.i1', '32256.o1'], 'contains': ['129024.a1', '193536.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 16128, 'diagramx': [4853, -1, 659, -1], 'generators': [6384308120098865, 1864991769604248], 'label': '387072.a.64512.g1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16128.b1', 'old_label': '64512.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64512.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249430
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '64512.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16128.x1', '16128.bd1', '16128.bj1', '21504.b1', '21504.c1', '32256.p1'], 'contains': ['129024.b1', '193536.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 10752, 'diagramx': [9701, -1, 7214, -1], 'generators': [3378326826090534, 1869021652780816], 'label': '387072.a.64512.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '10752.b1', 'old_label': '64512.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64512.h1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249431
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.f1'], 'contains': ['3024.i2', '3024.i1', '3024.l1', '3024.n1', '3024.o2', '3024.o1', '3024.q1', '3024.t1', '3024.by1', '3024.bz1', '3024.cb1', '3024.cc2', '3024.cc1', '3024.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2252, -1, 5004, -1], 'generators': [357001369769646, 4538931330119182, 121, 367920, 754574702919103, 356995142748840, 1307674368001, 40284840], 'label': '387072.a.1512.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '1512.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.q1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249432
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '252.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.a1', '48384.a1', '48384.a2', '48384.a3', '48384.b1', '48384.c1', '48384.d1', '48384.e1', '48384.f1', '48384.f2', '48384.f3', '48384.f4', '48384.f6', '48384.f5', '48384.g1', '48384.g2', '48384.h1', '48384.u1', '48384.v1'], 'contains': ['193536.a1', '193536.b1', '193536.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3602, -1, 6985, -1], 'generators': [357001369769646, 356995142748726], 'label': '387072.a.96768.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '96768.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249433
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.b1', '48384.f1', '48384.f2', '48384.f3', '48384.f4', '48384.f6', '48384.f5', '48384.i1', '48384.i3', '48384.i2', '48384.i5', '48384.i4', '48384.s1', '48384.s2', '48384.u1'], 'contains': ['193536.a1', '193536.c1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4711, -1, 7835, -1], 'generators': [357001369769646, 355687468380727], 'label': '387072.a.96768.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '96768.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249434
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '126.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.c1', '48384.a1', '48384.a2', '48384.g1', '48384.i1', '48384.j1', '48384.j3', '48384.k1', '48384.l1', '48384.m1', '48384.n1', '48384.n3', '48384.s1'], 'contains': ['193536.a1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2798, -1, 5485, -1], 'generators': [357001369769646, 355687468375800], 'label': '387072.a.96768.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '96768.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249435
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.c2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.c2', '48384.a1', '48384.a2', '48384.a3', '48384.g2', '48384.i3', '48384.i2', '48384.i5', '48384.i4', '48384.j2', '48384.n2', '48384.n3', '48384.s1', '48384.s2'], 'contains': ['193536.a1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3724, -1, 7187, -1], 'generators': [357001369769646, 355687468375686], 'label': '387072.a.96768.c2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '96768.c2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.c2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249436
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1008.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.d1', '48384.b1', '48384.j1', '48384.j2', '48384.j3', '48384.k1', '48384.o1', '48384.p1', '48384.q1'], 'contains': ['193536.a1', '193536.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1747, -1, 1723, -1], 'generators': [357001329852847, 1110255864440383], 'label': '387072.a.96768.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '96768.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249437
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1008.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.e1', '48384.c1', '48384.j1', '48384.j2', '48384.j3', '48384.l1', '48384.o1', '48384.p1', '48384.r1'], 'contains': ['193536.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1139, -1, 1736, -1], 'generators': [1108948189714542, 357001329852847], 'label': '387072.a.96768.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '96768.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249438
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '72.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['13824.a1', '32256.f1', '48384.s1', '48384.s2', '48384.t1', '48384.u1', '48384.v1'], 'contains': ['193536.a1', '193536.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3017, -1, 5471, -1], 'generators': [357001369769646, 356995142748847], 'label': '387072.a.96768.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '96768.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249439
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.g1', '48384.f1', '48384.f4', '48384.g2', '48384.s1', '48384.ba3', '48384.ba6', '48384.ba7', '48384.bc2', '48384.bc5', '48384.bc7', '48384.bc10', '48384.bc9', '48384.bc13', '48384.bc15', '48384.bd4', '48384.bf1', '48384.bf3', '48384.bf5', '48384.bf6', '48384.bm1', '48384.bm4', '48384.bm5', '48384.bn2'], 'contains': ['193536.b1', '193536.c1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5830, -1, 7884, -1], 'generators': [355687428101040, 355693695401526], 'label': '387072.a.96768.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '96768.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249452
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.o1', '32256.p1', '48384.b1', '48384.w1', '48384.br1', '48384.br2', '48384.bt1', '48384.bx1', '48384.bx2'], 'contains': ['193536.c1', '193536.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6655, -1, 7201, -1], 'generators': [6227388847, 1110255864440383], 'label': '387072.a.96768.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.d1', 'old_label': '96768.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.o1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249440
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.g2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.f3', '48384.f4', '48384.g1', '48384.g2', '48384.s2', '48384.w1', '48384.x1', '48384.y1', '48384.z1', '48384.ba2', '48384.ba1', '48384.ba4', '48384.ba8', '48384.ba5', '48384.ba9', '48384.bc1', '48384.bc4', '48384.bc3', '48384.bc6', '48384.bc11', '48384.bc8', '48384.bc12', '48384.bc13', '48384.bc14', '48384.bc15', '48384.bd1', '48384.bd3', '48384.bd2', '48384.bf2', '48384.bf4', '48384.bf3', '48384.bf5', '48384.bf6', '48384.bm2', '48384.bm3', '48384.bm4', '48384.bm5', '48384.bn1', '48384.bn2'], 'contains': ['193536.b1', '193536.c1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4705, -1, 7898, -1], 'generators': [355693695401526, 355687468375686], 'label': '387072.a.96768.g2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '96768.g2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.g2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249441
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.f2', '48384.f6', '48384.f5', '48384.h1', '48384.u1', '48384.bb1', '48384.bc4', '48384.bc3', '48384.bc6', '48384.bc5', '48384.bc7', '48384.bc10', '48384.bc11', '48384.bc8', '48384.bc9', '48384.bc12', '48384.bd1', '48384.bd3', '48384.bd2', '48384.bd4', '48384.bf1', '48384.bf2', '48384.bf4', '48384.bf3', '48384.bf5', '48384.bf6', '48384.bg1', '48384.bg2', '48384.bn1', '48384.bn2'], 'contains': ['193536.b1', '193536.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4717, -1, 7997, -1], 'generators': [355693695401526, 356995142748726], 'label': '387072.a.96768.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '96768.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.h1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249442
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.f1'], 'contains': ['3024.j1', '3024.k2', '3024.k1', '3024.m1', '3024.p2', '3024.p1', '3024.r1', '3024.s1', '3024.by1', '3024.bz1', '3024.ca1', '3024.cc2', '3024.cc1', '3024.cd1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1932, -1, 4834, -1], 'generators': [357001369769646, 121, 367920, 4895932659609022, 754574702919103, 356995142748840, 1307674368001, 40284840], 'label': '387072.a.1512.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '1512.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.r1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249443
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.h1', '48384.a1', '48384.a3', '48384.f6', '48384.s1', '48384.ba4', '48384.ba6', '48384.ba7', '48384.ba8', '48384.ba9', '48384.bc6', '48384.bc10', '48384.bc11', '48384.bc12', '48384.bf4', '48384.bf5', '48384.bl1', '48384.bl3', '48384.bl4', '48384.bm1', '48384.bm4', '48384.bp2'], 'contains': ['193536.b1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4645, -1, 7849, -1], 'generators': [356995102469041, 357001329484801], 'label': '387072.a.96768.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '96768.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249444
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.i2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.a2', '48384.a3', '48384.f2', '48384.f5', '48384.s2', '48384.ba2', '48384.ba1', '48384.ba4', '48384.ba3', '48384.ba6', '48384.ba5', '48384.ba9', '48384.bc4', '48384.bc3', '48384.bc5', '48384.bc7', '48384.bc8', '48384.bc9', '48384.be1', '48384.bf1', '48384.bf2', '48384.bf3', '48384.bf6', '48384.bl2', '48384.bl1', '48384.bl3', '48384.bl4', '48384.bm4', '48384.bp1', '48384.bp2'], 'contains': ['193536.b1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4637, -1, 7868, -1], 'generators': [356995102464121, 357001329484801], 'label': '387072.a.96768.i2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '96768.i2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.i2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249445
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['13824.b1', '32256.i1', '48384.b1', '48384.t1', '48384.w1', '48384.bb1', '48384.be1', '48384.bi1', '48384.bo1'], 'contains': ['193536.b1', '193536.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [1927, -1, 5021, -1], 'generators': [6227025840, 1110255864440383], 'label': '387072.a.96768.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.t1', 'old_label': '96768.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249446
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['13824.c1', '32256.j1', '48384.d1', '48384.t1', '48384.x1', '48384.bb1', '48384.be1', '48384.bj1', '48384.bo1'], 'contains': ['193536.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [1935, -1, 5041, -1], 'generators': [1110262131014976, 6227025840], 'label': '387072.a.96768.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.t1', 'old_label': '96768.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249447
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.g1', '48384.g2', '48384.u1', '48384.bf1', '48384.bf2', '48384.bf4', '48384.bf3', '48384.bf5', '48384.bf6', '48384.bg1', '48384.bg2', '48384.bh2', '48384.bh1', '48384.bi1', '48384.bj1', '48384.bk1', '48384.bl2', '48384.bl1', '48384.bl3', '48384.bl4', '48384.bm2', '48384.bm3', '48384.bm5', '48384.bp1', '48384.bp2', '48384.bq1'], 'contains': ['193536.b1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3718, -1, 7173, -1], 'generators': [357001329484801, 356995102464000], 'label': '387072.a.96768.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '96768.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.l1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249448
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.k1', '32256.l1', '32256.m1', '48384.h1', '48384.v1', '48384.bm1', '48384.bm4', '48384.bn1', '48384.bn2', '48384.bo1', '48384.bp1', '48384.bp2', '48384.bq1'], 'contains': ['193536.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [3609, -1, 6943, -1], 'generators': [355693655116800, 356995102464000], 'label': '387072.a.96768.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '96768.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.m1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249449
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '504.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.n1', '48384.a1', '48384.f1', '48384.i3', '48384.ba2', '48384.ba9', '48384.bc11', '48384.bc9', '48384.bf6', '48384.br1', '48384.bw4', '48384.bw3', '48384.bw8', '48384.by6', '48384.by10'], 'contains': ['193536.c1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6540, -1, 8137, -1], 'generators': [355693695401526, 356995142385840], 'label': '387072.a.96768.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '96768.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.n1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249450
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.a2', '48384.a3', '48384.f4', '48384.i1', '48384.i3', '48384.i2', '48384.i5', '48384.i4', '48384.ba1', '48384.ba4', '48384.ba3', '48384.ba6', '48384.ba7', '48384.ba5', '48384.ba9', '48384.bc4', '48384.bc6', '48384.bc5', '48384.bc7', '48384.bc10', '48384.bc11', '48384.bc8', '48384.bc12', '48384.bf2', '48384.bf4', '48384.bf3', '48384.bf5', '48384.bf6', '48384.bw2', '48384.bw1', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw7', '48384.bw8', '48384.bw5', '48384.bw9', '48384.by4', '48384.by6', '48384.by5', '48384.by7', '48384.by8', '48384.by9'], 'contains': ['193536.c1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6452, -1, 8250, -1], 'generators': [355693695401526, 356995142743680], 'label': '387072.a.96768.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '96768.n2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.n2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249451
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.n3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.a3', '48384.f3', '48384.i1', '48384.i2', '48384.i5', '48384.ba2', '48384.ba4', '48384.ba3', '48384.ba7', '48384.ba8', '48384.bc3', '48384.bc6', '48384.bc7', '48384.bc8', '48384.bc9', '48384.bf1', '48384.bf4', '48384.bf3', '48384.br2', '48384.bw2', '48384.bw1', '48384.bw4', '48384.bw6', '48384.bw7', '48384.bw5', '48384.by3', '48384.by6', '48384.by7', '48384.by8', '48384.by10', '48384.by9'], 'contains': ['193536.c1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6614, -1, 8306, -1], 'generators': [355687468375681, 355693695401526], 'label': '387072.a.96768.n3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '96768.n3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.n3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249453
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.e1', '756.f1', '756.g1'], 'contains': ['3024.u2', '3024.u1', '3024.v1', '3024.w1', '3024.z1', '3024.ba1', '3024.bp1', '3024.bp2', '3024.bq1', '3024.br1', '3024.bs1', '3024.bt1', '3024.cc2', '3024.cc1', '3024.cd1', '3024.ce1', '3024.cg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2683, -1, 5884, -1], 'generators': [357001369769646, 5160, 121, 754574702919103, 356995142748847, 40284847, 363007, 1307674731001], 'label': '387072.a.1512.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '1512.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.s1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249454
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4032.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.q1', '32256.r1', '48384.e1', '48384.y1', '48384.br1', '48384.br2', '48384.bu1', '48384.bx1', '48384.bx2'], 'contains': ['193536.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [8820, -1, 8738, -1], 'generators': [1110255904362216, 6227388847], 'label': '387072.a.96768.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.d1', 'old_label': '96768.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.p1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249455
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.f2', '48384.f6', '48384.f5', '48384.g2', '48384.i1', '48384.i3', '48384.i2', '48384.i5', '48384.bc2', '48384.bc4', '48384.bc3', '48384.bc6', '48384.bc5', '48384.bc7', '48384.bc10', '48384.bc11', '48384.bc8', '48384.bc9', '48384.bc12', '48384.bc13', '48384.bc14', '48384.bc15', '48384.bd1', '48384.bd3', '48384.bd2', '48384.bd4', '48384.bg1', '48384.bw2', '48384.bw1', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw5', '48384.by1', '48384.by2', '48384.by4', '48384.by6', '48384.by5', '48384.by7', '48384.by8', '48384.by10', '48384.by9', '48384.by11'], 'contains': ['193536.c1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6573, -1, 8363, -1], 'generators': [356995142743806, 355693695401526], 'label': '387072.a.96768.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '96768.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.q1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249456
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.q2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.f6', '48384.g1', '48384.i4', '48384.bc1', '48384.bc5', '48384.bc8', '48384.bc9', '48384.bc12', '48384.bc14', '48384.bc15', '48384.bd4', '48384.bg2', '48384.bs2', '48384.bs1', '48384.bt1', '48384.bu1', '48384.bv1', '48384.bw7', '48384.bw8', '48384.bw9', '48384.by3', '48384.by7', '48384.by8', '48384.by10', '48384.by9', '48384.by11'], 'contains': ['193536.c1', '193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [6633, -1, 8278, -1], 'generators': [355693695401526, 356995142743687], 'label': '387072.a.96768.q2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '96768.q2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.q2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249457
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.s1', '32256.t1', '48384.f1', '48384.bd2', '48384.bx1', '48384.by7'], 'contains': ['193536.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [8826, -1, 8566, -1], 'generators': [356995142385961, 355693695401526], 'label': '387072.a.96768.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '96768.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.r1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249458
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.r2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.u1', '48384.f3', '48384.f4', '48384.bd1', '48384.bd3', '48384.bd2', '48384.bd4', '48384.bx2', '48384.by3', '48384.by4', '48384.by6', '48384.by5', '48384.by8', '48384.by10', '48384.by9'], 'contains': ['193536.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6805, -1, 8911, -1], 'generators': [355693695401526, 356995142743801], 'label': '387072.a.96768.r2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '96768.r2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.r2', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249459
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6048.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.k1', '48384.w1', '48384.bh2', '48384.bh1', '48384.bi1', '48384.bs2', '48384.bs1', '48384.bt1', '48384.bz1', '48384.ca1', '48384.cb1', '48384.cd1', '48384.cd2', '48384.ce1'], 'contains': ['193536.d1', '193536.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2817, -1, 5615, -1], 'generators': [1110255864440383, 6227025961], 'label': '387072.a.96768.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.s1', 'old_label': '96768.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.s1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249460
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6048.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.m1', '48384.z1', '48384.bh2', '48384.bh1', '48384.bk1', '48384.bs2', '48384.bs1', '48384.bv1', '48384.bz1', '48384.ca1', '48384.cc1', '48384.cd1', '48384.cd2', '48384.cf1'], 'contains': ['193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2858, -1, 5681, -1], 'generators': [1110262091461182, 6227025961], 'label': '387072.a.96768.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.s1', 'old_label': '96768.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.t1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249461
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '756.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.v1', '48384.i2', '48384.n1', '48384.n2', '48384.ba1', '48384.ba7', '48384.ba9', '48384.bc1', '48384.bc2', '48384.bl2', '48384.bl1', '48384.bm2', '48384.bw1', '48384.bw8', '48384.bw5', '48384.bw9', '48384.by1', '48384.ce1', '48384.cf1', '48384.cg1', '48384.cg2', '48384.cg3'], 'contains': ['193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6362, -1, 7954, -1], 'generators': [355687428101161, 357001329484801], 'label': '387072.a.96768.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '96768.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.u1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249462
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.u2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.w1', '48384.i5', '48384.n3', '48384.ba4', '48384.ba6', '48384.ba9', '48384.bc15', '48384.bl2', '48384.bl3', '48384.bm3', '48384.bw4', '48384.bw6', '48384.bw7', '48384.bw9', '48384.by2', '48384.cd1', '48384.cg3'], 'contains': ['193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6368, -1, 8152, -1], 'generators': [357001329484801, 356995102469160], 'label': '387072.a.96768.u2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '96768.u2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.u2', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249463
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.u3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48384.i1', '48384.i3', '48384.i4', '48384.n2', '48384.n3', '48384.ba2', '48384.ba1', '48384.ba4', '48384.ba3', '48384.ba6', '48384.ba7', '48384.ba8', '48384.ba5', '48384.bc13', '48384.bc14', '48384.bl1', '48384.bl3', '48384.bl4', '48384.bm5', '48384.bw2', '48384.bw1', '48384.bw4', '48384.bw3', '48384.bw6', '48384.bw7', '48384.bw8', '48384.bw5', '48384.by11', '48384.cd2', '48384.cg2', '48384.cg3'], 'contains': ['193536.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6264, -1, 8088, -1], 'generators': [356995102464126, 357001329484801], 'label': '387072.a.96768.u3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '96768.u3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.u3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249464
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['756.e1', '756.g1'], 'contains': ['3024.x1', '3024.ba1', '3024.bb1', '3024.br1', '3024.bu1', '3024.bv1', '3024.cf1', '3024.cg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3413, -1, 6116, -1], 'generators': [357001369769646, 5160, 121, 754574702919096, 356995142748847, 40284847, 363007, 1307674731001], 'label': '387072.a.1512.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '1512.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.t1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249465
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '96768.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bu1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.x1', '48384.q1', '48384.cb1', '48384.ch1'], 'contains': ['193536.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [1762, -1, 672, -1], 'generators': [4895932619324303, 1110255864440383], 'label': '387072.a.96768.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.j1', 'old_label': '96768.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96768.v1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249466
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '129024.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1344.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18432.a1', '32256.l1', '32256.v1', '32256.x1', '43008.a1', '64512.a1', '64512.b1', '64512.c1', '64512.d1', '64512.f1', '64512.g1'], 'contains': ['387072.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [8849, -1, 1013, -1], 'generators': [1864991769604248], 'label': '387072.a.129024.a1', 'mobius_quo': None, 'mobius_sub': 96, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '129024.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '129024.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249467
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '129024.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3584.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32256.m1', '32256.u1', '32256.w1', '43008.a1', '43008.b1', '43008.c1', '64512.e1', '64512.h1'], 'contains': ['387072.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1792, 'diagramx': [9869, -1, 9559, -1], 'generators': [3378333013194655], 'label': '387072.a.129024.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1792.a1', 'old_label': '129024.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '129024.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249468
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '193536.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '9.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27648.a1', '64512.a1', '96768.a1', '96768.b1', '96768.c1', '96768.c2', '96768.d1', '96768.e1', '96768.f1'], 'contains': ['387072.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [1754, -1, 5478, -1], 'generators': [356995142748847], 'label': '387072.a.193536.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '193536.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '193536.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249469
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '193536.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '36.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27648.b1', '64512.b1', '96768.a1', '96768.f1', '96768.g1', '96768.g2', '96768.h1', '96768.i1', '96768.i2', '96768.j1', '96768.k1', '96768.l1', '96768.m1'], 'contains': ['387072.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4227, -1, 6957, -1], 'generators': [6227020801], 'label': '387072.a.193536.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '193536.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '193536.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249470
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '193536.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '84.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64512.c1', '64512.d1', '64512.e1', '96768.a1', '96768.b1', '96768.g1', '96768.g2', '96768.h1', '96768.n1', '96768.n2', '96768.n3', '96768.o1', '96768.p1', '96768.q1', '96768.q2', '96768.r1', '96768.r2'], 'contains': ['387072.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [6587, -1, 8081, -1], 'generators': [356995142748726], 'label': '387072.a.193536.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '193536.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '193536.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249471
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '193536.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '126.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64512.f1', '96768.b1', '96768.c1', '96768.c2', '96768.g1', '96768.g2', '96768.i1', '96768.i2', '96768.l1', '96768.n1', '96768.n2', '96768.n3', '96768.q1', '96768.q2', '96768.s1', '96768.t1', '96768.u1', '96768.u2', '96768.u3'], 'contains': ['387072.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [5200, -1, 7879, -1], 'generators': [1313901388921], 'label': '387072.a.193536.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '193536.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '193536.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249472
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '193536.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1008.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27648.c1', '64512.g1', '64512.h1', '96768.d1', '96768.j1', '96768.o1', '96768.s1', '96768.v1'], 'contains': ['387072.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [2817, -1, 5021, -1], 'generators': [1110255864440383], 'label': '387072.a.193536.e1', 'mobius_quo': None, 'mobius_sub': 128, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.b1', 'old_label': '193536.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '193536.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249473
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '387072.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['55296.a1', '129024.a1', '129024.b1', '193536.a1', '193536.b1', '193536.c1', '193536.d1', '193536.e1'], 'contains': [], 'core': '387072.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4778, 8642, 6224, 9254], 'generators': [], 'label': '387072.a.387072.a1', 'mobius_quo': 1, 'mobius_sub': -129024, 'normal_closure': '387072.a1', 'normal_contained_in': ['1512.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '387072.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '387072.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249474
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.a1', '504.j1', '756.g1'], 'contains': ['3024.bc1', '3024.bf1', '3024.bo1', '3024.bs1', '3024.bu1', '3024.bx1', '3024.cd1', '3024.cf1', '3024.ch1', '3024.ci1', '3024.ck1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3319, -1, 6052, -1], 'generators': [754574702919096, 357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 363007], 'label': '387072.a.1512.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1512.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.u1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249475
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1512.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.b1', '504.k1', '756.g1'], 'contains': ['3024.bd1', '3024.be1', '3024.bt1', '3024.bv1', '3024.ce1', '3024.cf1', '3024.ci1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4206, -1, 6090, -1], 'generators': [357001369769646, 40284847, 1307674368001, 356995142748847, 754574702919103, 121, 5160, 363007], 'label': '387072.a.1512.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1512.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1512.v1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249476
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1728.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.c1', '576.a1'], 'contains': ['3456.a1', '3456.a2', '3456.c1', '12096.cl1', '13824.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [3039, -1, 2372, -1], 'generators': [367927, 355687468017841, 1307674368127, 355693695401640, 5278182555329273, 40284847], 'label': '387072.a.1728.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '1728.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1728.a1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249477
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1792.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.a1'], 'contains': ['3584.a1', '5376.d1', '5376.e1', '7168.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1792, 'diagramx': [9952, -1, 9882, -1], 'generators': [357001329852721, 6391201298226905, 6393937399719096, 5643573467610816, 8369464694406, 355687468017967], 'label': '387072.a.1792.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1792.a1', 'old_label': '1792.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1792.a1', 'subgroup_fusion': None, 'weyl_group': '216.90'}
  • id: 66249478
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.a1', '1008.b1', '1008.c1'], 'contains': ['4032.k1', '6048.n1', '8064.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3097, -1, 1747, -1], 'generators': [367920, 355687428096001, 1864985503034449, 3768959336889894, 40284726, 355693695401647, 1864918132382023], 'label': '387072.a.2016.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '2016.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.a1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249479
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '108.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '36.a1'], 'contains': ['216.a1', '216.b1', '216.c1', '756.g1', '6912.a1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3277, -1, 2531, -1], 'generators': [1110235220680312, 1877451650294527, 357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7, 363000], 'label': '387072.a.108.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '108.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.a1', 'subgroup_fusion': None, 'weyl_group': '5376.bi'}
  • id: 66249480
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.a1', '504.b1', '504.d1', '1008.o1'], 'contains': ['4032.a1', '4032.b1', '4032.e1', '4032.l1', '4032.l2', '6048.r1', '8064.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [3158, -1, 2069, -1], 'generators': [6384314347482550, 367920, 355687428096001, 1864985502671568, 40284726, 355693695401647, 363007], 'label': '387072.a.2016.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '2016.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.b1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249481
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.e1', '1008.o1'], 'contains': ['4032.c1', '4032.d1', '4032.e1', '6048.s1', '8064.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [5512, -1, 2350, -1], 'generators': [367920, 355687428096001, 1864985502671568, 40284726, 355693695401647, 6029934633308465, 363007], 'label': '387072.a.2016.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '2016.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.c1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249482
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.j1', '1008.o1'], 'contains': ['4032.a1', '4032.d1', '4032.f1', '4032.x1', '4032.z1', '6048.v1', '8064.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [5985, -1, 2187, -1], 'generators': [1864985503034449, 40284726, 357001329484806, 356995142748840, 6029934633308465, 1307714652841, 367920], 'label': '387072.a.2016.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '2016.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.d1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249483
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.k1', '1008.o1'], 'contains': ['4032.b1', '4032.c1', '4032.f1', '6048.x1', '8064.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [3217, -1, 1954, -1], 'generators': [367920, 6384308120461870, 1864985503034449, 40284726, 356995142748840, 357001329484806, 1307714652841], 'label': '387072.a.2016.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '2016.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.e1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249484
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.c1', '1008.t1'], 'contains': ['4032.be1', '6048.bf1', '8064.g1', '8064.i1', '8064.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [3311, -1, 1067, -1], 'generators': [1864924359765817, 1864985502671568, 3768959296973088, 355687468380841, 355693695401647, 5046, 40284847], 'label': '387072.a.2016.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.t1', 'old_label': '2016.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.f1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249485
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.c1', '1008.u1'], 'contains': ['6048.bj1', '8064.g1', '8064.j1', '8064.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [3144, -1, 1010, -1], 'generators': [1864924319849016, 1864985502671568, 4124652952095055, 355687468380841, 5046, 355693695401647, 40284847], 'label': '387072.a.2016.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.u1', 'old_label': '2016.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.g1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249486
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.e1', '1008.e2', '1008.f1'], 'contains': ['4032.g1', '4032.bf1', '6048.bk1', '8064.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3363, -1, 2249, -1], 'generators': [6028626919023670, 121, 367927, 355687468380841, 1864985503034449, 355693695401647, 40284847], 'label': '387072.a.2016.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.d1', 'old_label': '2016.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.h1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249487
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.e1', '1008.e2', '1008.g1'], 'contains': ['4032.g1', '6048.bl1', '8064.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3002, -1, 2103, -1], 'generators': [121, 367927, 6028620692007910, 355687468380841, 1864985503034449, 355693695401647, 40284847], 'label': '387072.a.2016.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.d1', 'old_label': '2016.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.i1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249488
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.c1', '1008.e1', '1008.j1', '1008.v1'], 'contains': ['4032.g1', '4032.bi1', '6048.by1', '8064.g1', '8064.n1', '8064.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4206, -1, 1499, -1], 'generators': [5160, 121, 1307674368006, 1509298114492368, 356995142385840, 39921840, 357001369406646], 'label': '387072.a.2016.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '2016.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.j1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249489
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.j2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.e2', '1008.j1', '1008.v1'], 'contains': ['4032.g1', '4032.bi1', '6048.by2', '8064.g2', '8064.n2', '8064.n4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4229, -1, 1615, -1], 'generators': [121, 1864985502671568, 356995142385840, 39921847, 1307674368001, 357001369406646, 5167], 'label': '387072.a.2016.j2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '2016.j2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.j2', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249490
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '112.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.a1'], 'contains': ['224.a1', '336.c1', '336.d1', '7168.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 112, 'diagramx': [9941, -1, 9869, -1], 'generators': [8375691715200, 6035513869768025, 6036942337539703, 5643567240227136, 1307674731006, 5167, 357001369406646, 356995142748840, 126, 39921847], 'label': '387072.a.112.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '112.a1', 'old_label': '112.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.a1', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66249491
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.f1', '1008.g1', '1008.h1', '1008.i1', '1008.j1', '1008.q1', '1008.y1'], 'contains': ['4032.g1', '4032.bh1', '4032.bk1', '6048.bz1', '8064.f1', '8064.f2', '8064.f3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4821, -1, 1874, -1], 'generators': [1866299444335135, 121, 39916927, 357001329847801, 7, 356995102827000, 1307674731001], 'label': '387072.a.2016.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '2016.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.k1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249492
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.a1', '1008.l1', '1008.l2'], 'contains': ['4032.k1', '6048.cb1', '8064.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2303, -1, 1839, -1], 'generators': [1509230664369216, 6384308120104030, 1509298074570528, 40284726, 355693695401647, 355687428463921, 4124652992374735], 'label': '387072.a.2016.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '2016.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.l1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249493
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.b1', '1008.l1', '1008.l3'], 'contains': ['4032.k1', '6048.cd1', '8064.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3086, -1, 1918, -1], 'generators': [1509230664369216, 1509298074570528, 6028626959308510, 40284726, 355693695401647, 355687428463921, 4124652992374735], 'label': '387072.a.2016.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '2016.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.m1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249494
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.a1', '1008.l3', '1008.m1'], 'contains': ['4032.k1', '6048.ce1', '8064.m1', '8064.p1', '8064.p2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2245, -1, 952, -1], 'generators': [1509230664369216, 1509298074570528, 40284726, 355693695401647, 355687428463921, 6384314347124710, 4124652992374735], 'label': '387072.a.2016.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '2016.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.n1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249495
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.b1', '1008.l2', '1008.m1'], 'contains': ['4032.k1', '6048.cf1', '8064.l1', '8064.o1', '8064.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3062, -1, 978, -1], 'generators': [1509230664369216, 1509298074570528, 40284726, 355693695401647, 355687428463921, 6028620732287590, 4124652992374735], 'label': '387072.a.2016.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '2016.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.o1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249496
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.c1'], 'contains': ['6048.ch1', '8064.i1', '8064.j1', '8064.k1', '8064.n3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3260, -1, 1099, -1], 'generators': [367927, 355687468017841, 39921966, 1864985502671568, 355693695401647, 4124652992011854, 1509230704291063], 'label': '387072.a.2016.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.p1', 'old_label': '2016.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.p1', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66249497
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.p2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.c1', '1008.l2', '1008.l3'], 'contains': ['4032.k1', '6048.ch2', '8064.n4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3121, -1, 1721, -1], 'generators': [1864918092470382, 1864985503034449, 40284726, 355693695401647, 355687428463921, 3768965524361928, 363007], 'label': '387072.a.2016.p2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '2016.p2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.p2', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249498
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.c1', '1008.c1', '1008.l1', '1008.m1'], 'contains': ['4032.k1', '6048.cj1', '8064.i1', '8064.j1', '8064.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3109, -1, 886, -1], 'generators': [1509230664374383, 1864985502671568, 40284726, 355693695401647, 355687428459006, 3768965524361928, 5167], 'label': '387072.a.2016.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '2016.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.q1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249499
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.c1', '1008.d1', '1008.k2', '1008.k1'], 'contains': ['6048.ck1', '8064.k1', '8064.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3270, -1, 2488, -1], 'generators': [1509230704291182, 1864985502671568, 40284726, 355693695401647, 355687428459006, 4124652952095055, 5167], 'label': '387072.a.2016.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.a1', 'old_label': '2016.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.r1', 'subgroup_fusion': None, 'weyl_group': '192.1009'}
  • id: 66249500
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.n1', '1008.q1', '1008.v1'], 'contains': ['4032.g1', '4032.bh1', '6048.cs1', '8064.r1', '8064.r2', '8064.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5016, -1, 1785, -1], 'generators': [121, 367927, 1510611976322335, 356995142385840, 40284847, 357001369406646, 1307674731001], 'label': '387072.a.2016.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '2016.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.s1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249501
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '126.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['63.a1'], 'contains': ['252.b1', '378.a1', '504.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3293, -1, 2258, -1], 'generators': [5160, 121, 6385615834383665, 1864918092470382, 1864985502671568, 355693695401647, 355687468380846, 7, 4124652952095055, 40284847, 363000], 'label': '387072.a.126.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '126.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.a1', 'subgroup_fusion': None, 'weyl_group': '3072.lh'}
  • id: 66249502
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.f1', '1008.o1'], 'contains': ['4032.a1', '4032.c1', '4032.m1', '4032.r2', '4032.y1', '6048.cz1', '8064.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4717, -1, 2151, -1], 'generators': [1307714289846, 367920, 6028626959308510, 40284726, 356995142385847, 1510612016239134, 357001329847801], 'label': '387072.a.2016.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '2016.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.t1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249503
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.g1', '1008.p1'], 'contains': ['4032.u2', '4032.bb1', '6048.cy1', '8064.u1', '8064.bh1', '8064.bw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9535, -1, 7450, -1], 'generators': [367920, 355687468380841, 1307674368120, 355693695401647, 3378333013194655, 1867707711843137, 40284840], 'label': '387072.a.2016.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.p1', 'old_label': '2016.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.u1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 66249504
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.h1', '1008.o1'], 'contains': ['4032.b1', '4032.d1', '4032.r2', '6048.db1', '8064.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4181, -1, 1986, -1], 'generators': [1307714289846, 367920, 40284726, 356995142385847, 1510612016239134, 357001329847801, 6029934633308465], 'label': '387072.a.2016.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '2016.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.v1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249505
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.i1', '1008.p1'], 'contains': ['4032.u2', '6048.da1', '8064.w1', '8064.bj1', '8064.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9522, -1, 8582, -1], 'generators': [367920, 40284840, 1307674368120, 1867707711838217, 355693695401647, 3021337911093408, 355687468380841], 'label': '387072.a.2016.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.p1', 'old_label': '2016.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.w1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 66249506
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.l1', '1008.o1'], 'contains': ['4032.e1', '4032.e2', '4032.f1', '4032.f2', '4032.n1', '4032.n2', '4032.n3', '4032.r2', '4032.bc1', '6048.de1', '8064.x1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [5820, -1, 1537, -1], 'generators': [1307674731006, 367920, 126, 1864985502671568, 357001369406641, 356995142385840, 39921847], 'label': '387072.a.2016.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '2016.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.x1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249507
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.m1', '1008.p1'], 'contains': ['4032.u2', '4032.bd1', '6048.de2', '8064.z1', '8064.bn1', '8064.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9549, -1, 9244, -1], 'generators': [5160, 3022645625015455, 362886, 356995142385840, 357001369769641, 40284847, 1307674731001], 'label': '387072.a.2016.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.p1', 'old_label': '2016.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.y1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 66249508
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.r1', '1008.v1', '1008.y1'], 'contains': ['4032.t1', '4032.bh1', '4032.bi1', '6048.df1', '8064.ba1', '8064.bf1', '8064.bf2', '8064.bf3', '8064.bu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5121, -1, 1313, -1], 'generators': [121, 1510611975959454, 367920, 356995142748847, 357001369769641, 1307674368001, 40284840], 'label': '387072.a.2016.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '2016.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.z1', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66249509
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.t1'], 'contains': ['4032.be1', '6048.dg1', '8064.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4735, -1, 1122, -1], 'generators': [1510544606037817, 1864985502671568, 3768959296973088, 5046, 357001369769641, 356995142748847, 1307714652841], 'label': '387072.a.2016.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.t1', 'old_label': '2016.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.ba1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249510
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.v1', '1008.y1'], 'contains': ['4032.g1', '4032.t1', '4032.bi1', '6048.dj1', '8064.e1', '8064.h1', '8064.h2', '8064.h3', '8064.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4910, -1, 1277, -1], 'generators': [1864985503034449, 357001369769646, 1307674368001, 356995142748840, 367927, 121, 40284847], 'label': '387072.a.2016.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '2016.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bb1', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66249511
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.l1', '672.a1'], 'contains': ['4032.h1', '4032.o1', '4032.r1', '4032.s1', '4032.v1', '4032.w1', '4032.bj1', '6048.dn1', '8064.x1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [4808, -1, 922, -1], 'generators': [1307674368006, 367920, 1864985502671568, 362886, 356995142748847, 357001369769641, 40284847], 'label': '387072.a.2016.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '2016.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bc1', 'subgroup_fusion': None, 'weyl_group': '36.11'}
  • id: 66249512
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '126.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '63.a1'], 'contains': ['252.a1', '252.b1', '378.b1', '504.a1', '504.b1', '504.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3166, -1, 2172, -1], 'generators': [1864918092470382, 6028626919391590, 1864985502671568, 4124652952095055, 5160, 40284847, 355687468380846, 355693695401647, 121, 7, 363000], 'label': '387072.a.126.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '126.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.b1', 'subgroup_fusion': None, 'weyl_group': '3072.lh'}
  • id: 66249513
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.a1', '1008.w1', '1008.y1'], 'contains': ['4032.t1', '4032.bk1', '6048.dn1', '8064.y1', '8064.bl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [4929, -1, 1349, -1], 'generators': [357001369769646, 121, 1307714652846, 39916927, 1864985502666529, 356995142748847, 7], 'label': '387072.a.2016.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '2016.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bd1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249514
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.m1', '672.a1', '1008.x1'], 'contains': ['4032.u1', '4032.bl1', '6048.dn1', '8064.z1', '8064.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5386, -1, 7484, -1], 'generators': [357001369769646, 5160, 121, 3022645625015455, 356995142748847, 1307674368001, 39921840], 'label': '387072.a.2016.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '2016.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.be1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249515
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.g1', '1008.ba1'], 'contains': ['4032.bd2', '4032.bn1', '6048.dp1', '8064.bh1', '8064.bw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9615, -1, 9397, -1], 'generators': [39921961, 1307674731006, 367920, 1513334224684822, 356995102827007, 357001329847801, 3378333013194655], 'label': '387072.a.2016.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.ba1', 'old_label': '2016.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bf1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 66249516
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.i1', '1008.ba1'], 'contains': ['4032.bd2', '6048.dq1', '8064.bj1', '8064.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9574, -1, 9679, -1], 'generators': [1513334224689982, 3378333013194655, 39921961, 357001329847801, 356995102827007, 1307674731006, 367920], 'label': '387072.a.2016.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.ba1', 'old_label': '2016.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bg1', 'subgroup_fusion': None, 'weyl_group': '192.1538'}
  • id: 66249517
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.f1', '1008.n1', '1008.z1'], 'contains': ['4032.bf1', '4032.bh1', '6048.du1', '8064.bc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4790, -1, 2423, -1], 'generators': [121, 367920, 6028626959308510, 355687468380846, 355693695401640, 1864991769972049, 40284840], 'label': '387072.a.2016.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '2016.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bh1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249518
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.h1', '1008.n1', '1008.z1'], 'contains': ['4032.bh1', '6048.dv1', '8064.bd1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5168, -1, 2457, -1], 'generators': [121, 367920, 6385622061409505, 355687468380846, 355693695401640, 1864991769972049, 40284840], 'label': '387072.a.2016.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '2016.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bi1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249519
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.b1', '1008.q1', '1008.r1', '1008.z1'], 'contains': ['4032.bh1', '6048.dz1', '8064.bm1', '8064.br1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5262, -1, 2026, -1], 'generators': [121, 367920, 1510611976322335, 356995142385847, 357001369406641, 1307674731001, 40284840], 'label': '387072.a.2016.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '2016.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bj1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249520
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.m1', '1008.ba1'], 'contains': ['4032.bd2', '4032.bd3', '6048.dz2', '8064.bn1', '8064.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9589, -1, 9729, -1], 'generators': [121, 367920, 3022645625015455, 356995142385847, 357001369406641, 40284847, 1307674731001], 'label': '387072.a.2016.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.ba1', 'old_label': '2016.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bk1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 66249521
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.b1', '672.c1', '672.d1', '1008.s1', '1008.bb1'], 'contains': ['6048.dz1', '8064.bo1', '8064.bt1', '8064.bz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [5916, -1, 8552, -1], 'generators': [367927, 1307674731006, 3377025339194448, 362886, 356995142385847, 40284847, 357001369406646], 'label': '387072.a.2016.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '2016.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bl1', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66249522
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.t1'], 'contains': ['4032.be1', '6048.ea1', '8064.bv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4749, -1, 1038, -1], 'generators': [3770266971341094, 1307674368006, 1864985502671568, 1866225766838262, 5046, 356995102464000, 357001329484806], 'label': '387072.a.2016.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.t1', 'old_label': '2016.bm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bm1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249523
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': ['129024.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['27.a1', '84.b1', '108.a1', '768.a1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3277, 886, 2528, 2873], 'generators': [5286551583386464, 1507748810360105, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['1512.a1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '387072.a', 'quotient_action_image': '3.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '387072.a'}
  • id: 66249524
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '126.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['63.a1'], 'contains': ['252.b1', '252.c1', '378.c1', '504.l1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3304, -1, 2048, -1], 'generators': [1864918092470382, 1864985502671568, 4124652952095055, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.126.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '126.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.c1', 'subgroup_fusion': None, 'weyl_group': '1536.408527554'}
  • id: 66249525
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.j1', '1008.r1', '1008.v1'], 'contains': ['4032.bh1', '4032.bi1', '6048.ed1', '8064.be1', '8064.be2', '8064.be3', '8064.bp1', '8064.bv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5097, -1, 1444, -1], 'generators': [121, 1307674368006, 1864985502671568, 356995142385847, 357001369406641, 39921847, 5167], 'label': '387072.a.2016.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '2016.bn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bn1', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66249526
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.e1', '1008.f1', '1008.w1', '1008.bc1'], 'contains': ['4032.bf1', '4032.bk1', '6048.ee1', '8064.bg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4767, -1, 2297, -1], 'generators': [6028626919023670, 121, 355687428096001, 39916927, 355693655116800, 1864985502666529, 7], 'label': '387072.a.2016.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '2016.bo1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bo1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249527
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.g1', '672.e1', '1008.x1'], 'contains': ['4032.bg1', '4032.bl1', '6048.ee1', '8064.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5430, -1, 5955, -1], 'generators': [3377025379106334, 367920, 362881, 355687428096001, 355693655116800, 7, 1867707711843137], 'label': '387072.a.2016.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '2016.bp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bp1', 'subgroup_fusion': None, 'weyl_group': '576.8656'}
  • id: 66249528
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.f1', '1008.i1', '1008.w1', '1008.bc1'], 'contains': ['4032.bk1', '6048.ef1', '8064.bi1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4885, -1, 4168, -1], 'generators': [121, 6385615834383665, 355687428096001, 39916927, 355693655116800, 1864985502666529, 7], 'label': '387072.a.2016.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '2016.bq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bq1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249529
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.i1', '672.f1', '1008.x1'], 'contains': ['4032.bl1', '6048.ef1', '8064.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5402, -1, 7534, -1], 'generators': [3022639358077855, 367920, 1867707711843263, 362881, 355687428096001, 355693655116800, 7], 'label': '387072.a.2016.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '2016.br1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.br1', 'subgroup_fusion': None, 'weyl_group': '576.8656'}
  • id: 66249530
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2016.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['288.a1', '1008.j1', '1008.y1', '1008.bc1'], 'contains': ['4032.bi1', '4032.bk1', '6048.eg1', '8064.bk1', '8064.bk2', '8064.bq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4864, -1, 1664, -1], 'generators': [121, 1510611975959454, 39916927, 357001329484801, 356995102464000, 7, 1307674368001], 'label': '387072.a.2016.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '2016.bs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2016.bs1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249531
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2304.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1'], 'contains': ['4608.a1', '4608.b1', '4608.c1', '6912.a1', '16128.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [4314, -1, 143, -1], 'generators': [756036967363912, 5046, 2636251449753185, 357001369769641, 6388371180144022], 'label': '387072.a.2304.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '2304.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.a1', 'subgroup_fusion': None, 'weyl_group': '84.7'}
  • id: 66249532
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2304.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['288.a1', '1152.a1', '1152.a2', '1152.c1'], 'contains': ['6912.b1', '16128.bk1', '18432.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [4665, -1, 1719, -1], 'generators': [40279801, 355693695396480, 4877846689386838, 1509304301954334, 355687428459006], 'label': '387072.a.2304.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '2304.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.b1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249533
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2304.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['256.a1', '1152.b1'], 'contains': ['6912.c1', '16128.bl1', '18432.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1152, 'diagramx': [4322, -1, 6, -1], 'generators': [1864991769604248, 1864924359770742, 6028626959308510, 4124652992011854, 4522159261653718], 'label': '387072.a.2304.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1152.b1', 'old_label': '2304.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.c1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249534
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2688.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.a1', '1344.a1'], 'contains': ['5376.a1', '5376.c1', '8064.t1', '8064.u1', '10752.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5224, -1, 1152, -1], 'generators': [6035513869768025, 8369504253367, 6393937439998657, 357001369769646, 355687428096001, 5041], 'label': '387072.a.2688.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '2688.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2688.a1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249535
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '144.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '72.c1'], 'contains': ['288.a1', '432.a1', '1008.j1', '1152.a1', '1152.a2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [3322, -1, 1711, -1], 'generators': [1866299444335135, 121, 4877840422812233, 357001329484801, 40279687, 356995102464000, 7, 1307674368001, 363000], 'label': '387072.a.144.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.c1', 'old_label': '144.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': '1344.11691'}
  • id: 66249536
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2688.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.b1', '1344.a1'], 'contains': ['5376.a1', '8064.v1', '8064.w1', '10752.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5198, -1, 1191, -1], 'generators': [357001369769646, 6391201298226905, 355687428096001, 5041, 6392623498693177, 365370833733241], 'label': '387072.a.2688.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '2688.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2688.b1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249537
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2688.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.a1', '1344.a1'], 'contains': ['5376.a1', '5376.b1', '8064.x1', '8064.y1', '8064.z1', '10752.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5211, -1, 1109, -1], 'generators': [6038249971990903, 357001329852721, 40279806, 356995142748847, 1307714284926, 8375731269120], 'label': '387072.a.2688.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '2688.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2688.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66249538
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '2688.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.b1', '1344.b1', '1344.c1', '1344.d1'], 'contains': ['8064.br1', '8064.bs1', '8064.bt1', '10752.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5167, -1, 1368, -1], 'generators': [356995102831920, 1307674735921, 9683405637126, 6038249971628143, 5041, 357001329484801], 'label': '387072.a.2688.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '2688.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2688.d1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249539
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.a1', '1512.e1'], 'contains': ['6048.m1', '6048.n1', '6048.n2', '6048.ca1', '6048.cb1', '6048.cb2', '6048.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1345, -1, 2570, -1], 'generators': [4894618717935377, 1307674373166, 753260761976383, 5046, 357001329847801, 356995102469167, 4128696421078463], 'label': '387072.a.3024.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '3024.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.a1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249540
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.b1', '1512.e1'], 'contains': ['6048.n1', '6048.n2', '6048.p1', '6048.cc1', '6048.cd1', '6048.cd2', '6048.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1470, -1, 2616, -1], 'generators': [4895932619324182, 1307674373166, 753260761976383, 5046, 357001329847801, 356995102469167, 4128696421078463], 'label': '387072.a.3024.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '3024.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.b1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249541
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.c4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b5', '1512.c3', '1512.c4', '1512.i1', '1512.i3', '1512.j2'], 'contains': ['6048.q2', '6048.t3', '6048.t2', '6048.cg4', '6048.cg5', '6048.ck2', '6048.ck5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2405, -1, 3957, -1], 'generators': [121, 1307674735921, 4895932619329216, 356995102464000, 1108948190077423, 357001329489961, 363007], 'label': '387072.a.3024.c4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.c4', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249542
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.c3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b4', '1512.c2', '1512.c5', '1512.i2', '1512.j2'], 'contains': ['6048.q2', '6048.t1', '6048.cg3', '6048.cg1', '6048.ck2', '6048.ck4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2289, -1, 3842, -1], 'generators': [4538937516860177, 356995102464121, 1108948190072382, 7, 357001329489840, 1307674373161, 363000], 'label': '387072.a.3024.c3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.c2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.c3', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249543
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.c2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b3', '1512.c3', '1512.c2', '1512.i2', '1512.i3', '1512.j1'], 'contains': ['6048.q1', '6048.t3', '6048.t1', '6048.cg4', '6048.cg3', '6048.ck2', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2434, -1, 4101, -1], 'generators': [121, 753260761981303, 1307674735921, 4540245191228176, 356995102464000, 357001329489961, 363007], 'label': '387072.a.3024.c2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.c3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.c2', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249544
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b3', '1512.c1', '1512.c5', '1512.i2', '1512.i1', '1512.j1'], 'contains': ['6048.q1', '6048.t2', '6048.t1', '6048.cg1', '6048.cg2', '6048.ck2', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2443, -1, 4078, -1], 'generators': [1307674735921, 5041, 4894624944956183, 357001329484801, 363007, 1108948190072377, 356995102469160], 'label': '387072.a.3024.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.c4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.c1', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249545
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.c7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b5', '1512.b4', '1512.c1', '1512.c4', '1512.i2', '1512.i3', '1512.j1'], 'contains': ['6048.q2', '6048.t3', '6048.t2', '6048.cg3', '6048.cg2', '6048.ck4', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2453, -1, 4055, -1], 'generators': [121, 753260761981303, 1307674735921, 4895932619329216, 356995102464000, 357001329489961, 363007], 'label': '387072.a.3024.c7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.c5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.c7', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249546
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '144.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1'], 'contains': ['432.b1', '1008.m1', '1152.a1', '1152.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 144, 'diagramx': [3180, -1, 968, -1], 'generators': [1509230664374383, 6028626958945505, 1864985502671568, 40284726, 4522159221737033, 355693695401647, 355687428459006, 3768965524361928, 5167], 'label': '387072.a.144.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '144.b1', 'old_label': '144.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': '1344.11691'}
  • id: 66249547
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.c8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b5', '1512.c4', '1512.c5', '1512.i2', '1512.i1', '1512.j1'], 'contains': ['6048.q2', '6048.t2', '6048.cg4', '6048.cg1', '6048.ck4', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2302, -1, 3911, -1], 'generators': [1307674735921, 4538937516865223, 5041, 357001329484801, 363007, 1108948190072382, 356995102469160], 'label': '387072.a.3024.c8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.c6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.c8', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249548
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.c6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b4', '1512.b3', '1512.c3', '1512.c5', '1512.i1', '1512.j2'], 'contains': ['6048.q1', '6048.t2', '6048.t1', '6048.cg5', '6048.cg1', '6048.ck5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2190, -1, 3934, -1], 'generators': [1307674735921, 5041, 357001329484801, 363007, 1108948190072382, 4895932619329223, 356995102469160], 'label': '387072.a.3024.c6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.c7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.c6', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249549
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.c5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b4', '1512.b3', '1512.c1', '1512.c2', '1512.i1', '1512.i3', '1512.j2'], 'contains': ['6048.q1', '6048.t3', '6048.t1', '6048.cg5', '6048.cg2', '6048.ck5', '6048.ck4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2467, -1, 4032, -1], 'generators': [121, 1307674735921, 4540245191228176, 356995102464000, 1108948190077423, 357001329489961, 363007], 'label': '387072.a.3024.c5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.c8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.c5', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249550
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b1', '1512.c5', '1512.d1', '1512.i3', '1512.j1', '1512.j2'], 'contains': ['6048.r1', '6048.t2', '6048.t1', '6048.cg4', '6048.cg5', '6048.cg3', '6048.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2219, -1, 3704, -1], 'generators': [121, 1307674735921, 4540245191228176, 1108948190077416, 356995102464000, 357001329489961, 363007], 'label': '387072.a.3024.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.d1', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249551
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.d2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.c1', '1512.c4', '1512.d1', '1512.i1', '1512.j1', '1512.j2'], 'contains': ['6048.q2', '6048.q1', '6048.t2', '6048.cg5', '6048.cg2', '6048.ci1', '6048.ck2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2035, -1, 3612, -1], 'generators': [1307674735921, 5041, 4540245191228183, 357001329484801, 363007, 1108948190072382, 356995102469160], 'label': '387072.a.3024.d2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.d2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.d2', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249552
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.d5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b5', '1512.c3', '1512.c1', '1512.d1', '1512.i2', '1512.j2'], 'contains': ['6048.q2', '6048.t1', '6048.cg4', '6048.cg2', '6048.ci1', '6048.ck5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2079, -1, 3589, -1], 'generators': [7, 4894624944956183, 1307674373161, 357001329489840, 363000, 1108948190077302, 356995102464121], 'label': '387072.a.3024.d5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.d3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.d5', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249553
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.d4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b4', '1512.c3', '1512.c4', '1512.d1', '1512.i2', '1512.j1'], 'contains': ['6048.q2', '6048.q1', '6048.t2', '6048.cg3', '6048.ci1', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2091, -1, 3865, -1], 'generators': [1307674735921, 4538937516865223, 5041, 357001329484801, 363007, 1108948190072377, 356995102469160], 'label': '387072.a.3024.d4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.d4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.d4', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249554
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.d3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b3', '1512.c2', '1512.d1', '1512.i1', '1512.j1', '1512.j2'], 'contains': ['6048.q1', '6048.t1', '6048.cg4', '6048.cg5', '6048.ci1', '6048.ck4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2130, -1, 3888, -1], 'generators': [1307674735921, 5041, 357001329484801, 363007, 1108948190072377, 4895932619329223, 356995102469160], 'label': '387072.a.3024.d3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.d5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.d3', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249555
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.d6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.c3', '1512.c1', '1512.c2', '1512.c4', '1512.i2', '1512.i1', '1512.k1'], 'contains': ['6048.a2', '6048.a1', '6048.c2', '6048.c1', '6048.l1', '6048.q2', '6048.q1', '6048.t3', '6048.cg1', '6048.cg6', '6048.ci1', '6048.ck1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1704, -1, 3520, -1], 'generators': [121, 1307674735921, 4895932619329216, 356995102464000, 753260761981296, 357001329489961, 363007], 'label': '387072.a.3024.d6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.d6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.d6', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249556
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.c1', '1512.c4', '1512.e1', '1512.j2'], 'contains': ['6048.n1', '6048.q2', '6048.cg5', '6048.ch2', '6048.cj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [1585, -1, 2681, -1], 'generators': [4538937516860177, 7, 1307674373161, 357001329489840, 363000, 1108948190077302, 356995102464121], 'label': '387072.a.3024.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '3024.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.e1', 'subgroup_fusion': None, 'weyl_group': '768.1085110'}
  • id: 66249557
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '72.b1', '72.c1'], 'contains': ['288.a1', '432.d1', '1008.y1', '1152.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4718, -1, 1679, -1], 'generators': [357001369769646, 121, 4877840422812233, 1307714652846, 1864991769967129, 40279687, 356995142748847, 7, 363000], 'label': '387072.a.144.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '144.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.c1', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66249558
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.e2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.c3', '1512.c1', '1512.c2', '1512.e1', '1512.j1', '1512.j2'], 'contains': ['6048.n2', '6048.q2', '6048.q1', '6048.cg4', '6048.cg3', '6048.cg2', '6048.ch3', '6048.cj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1905, -1, 3405, -1], 'generators': [1307674735921, 5041, 4540245191228183, 357001329484801, 363007, 1108948190072377, 356995102469160], 'label': '387072.a.3024.e2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.e2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.e2', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249559
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.e3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.k1'], 'contains': ['6048.a2', '6048.a1', '6048.b1', '6048.b2', '6048.c2', '6048.c1', '6048.d1', '6048.d2', '6048.e1', '6048.e2', '6048.f1', '6048.f2', '6048.k1', '6048.n3', '6048.n4', '6048.o1', '6048.q3', '6048.q4', '6048.q5', '6048.cg6', '6048.ch1', '6048.ch4', '6048.ci2', '6048.ci3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1403, -1, 3338, -1], 'generators': [4894624944956183, 362886, 357001329484806, 1108948190072382, 1307674368001, 356995102827007, 5167], 'label': '387072.a.3024.e3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '3024.e3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.e3', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249560
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.c5', '1512.d1', '1512.e1', '1512.j1', '1512.j2', '1512.k1'], 'contains': ['6048.d1', '6048.d2', '6048.f1', '6048.f2', '6048.m1', '6048.p1', '6048.q2', '6048.q1', '6048.r1', '6048.cg1', '6048.ci1', '6048.ci2', '6048.ci3', '6048.cj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1388, -1, 3110, -1], 'generators': [121, 1307674735921, 1108948190077416, 4895932619329216, 356995102464000, 357001329489961, 363007], 'label': '387072.a.3024.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.f1', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249561
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.l1'], 'contains': ['6048.s2', '6048.s3', '6048.t4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3327, -1, 6324, -1], 'generators': [4895926432588216, 754574702919096, 362886, 356995102827007, 1307674368001, 357001329484806, 5167], 'label': '387072.a.3024.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.l1', 'old_label': '3024.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.g1', 'subgroup_fusion': None, 'weyl_group': '64.56'}
  • id: 66249562
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.d1', '1512.b1', '1512.b3', '1512.i2'], 'contains': ['6048.t1', '6048.ck1', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2650, -1, 4003, -1], 'generators': [4894624944956183, 356995102464121, 1108948190072382, 7, 357001329489840, 1307674373161, 363000], 'label': '387072.a.3024.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '3024.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.h1', 'subgroup_fusion': None, 'weyl_group': '768.1085110'}
  • id: 66249563
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.h2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b1', '1512.b2', '1512.b5', '1512.b4', '1512.i2', '1512.i1'], 'contains': ['6048.t2', '6048.t1', '6048.ck1', '6048.ck2', '6048.ck5', '6048.ck4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2550, -1, 4124, -1], 'generators': [1307674735921, 5041, 4894624944956183, 357001329484801, 363007, 1108948190072382, 356995102469160], 'label': '387072.a.3024.h2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.h2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.h2', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249564
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.h3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b5', '1512.b4', '1512.b3', '1512.i2', '1512.i1', '1512.i3'], 'contains': ['6048.t3', '6048.t2', '6048.t1', '6048.ck2', '6048.ck5', '6048.ck4', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2578, -1, 4147, -1], 'generators': [121, 1307674735921, 4540245191228176, 356995102464000, 753260761981296, 357001329489961, 363007], 'label': '387072.a.3024.h3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.h3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.h3', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249565
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.i2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.g1', '1512.q1'], 'contains': ['6048.ba1', '6048.bb2', '6048.bg2', '6048.bi1', '6048.bn2', '6048.bo2', '6048.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2180, -1, 4992, -1], 'generators': [4895926432588216, 121, 1307674368001, 356995102464000, 357001369406641, 754574702919103, 40279687], 'label': '387072.a.3024.i2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.i2', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249566
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.g1', '1512.q1'], 'contains': ['6048.ba1', '6048.bb1', '6048.bg1', '6048.bi1', '6048.bn1', '6048.bo1', '6048.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2171, -1, 5015, -1], 'generators': [4540245191228183, 121, 1307674368001, 356995102464000, 357001369406641, 754574702919103, 40279687], 'label': '387072.a.3024.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.i2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.i1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249567
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.r1'], 'contains': ['6048.ba1', '6048.bc1', '6048.bh1', '6048.bm1', '6048.bo2', '6048.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1730, -1, 4696, -1], 'generators': [4895926432588216, 121, 1108948190072263, 357001369406641, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.3024.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.j1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249568
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '144.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1'], 'contains': ['288.a1', '432.e1', '1008.bc1', '9216.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [4650, -1, 1733, -1], 'generators': [6032683752048016, 2279262573947231, 1111724395097032, 121, 1307674368001, 40279680, 356995102464000, 357001329484801, 363000], 'label': '387072.a.144.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.a1', 'old_label': '144.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.d1', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66249569
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.k2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.g1', '1512.r1'], 'contains': ['6048.bb1', '6048.bc1', '6048.be1', '6048.bg1', '6048.bm1', '6048.bn2', '6048.bo2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1778, -1, 4857, -1], 'generators': [4894624944961217, 121, 1108948190072263, 357001369406641, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.3024.k2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.k2', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249570
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.g1', '1512.r1'], 'contains': ['6048.bb2', '6048.bc1', '6048.be1', '6048.bg2', '6048.bm1', '6048.bn1', '6048.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1845, -1, 4834, -1], 'generators': [4538931330119182, 121, 1108948190072263, 357001369406641, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.3024.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.k2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.k1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249571
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.g1', '1512.q1'], 'contains': ['6048.bd1', '6048.be1', '6048.bi1', '6048.bn2', '6048.bn1', '6048.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5363, -1, 6726, -1], 'generators': [4538931330119182, 121, 1307674368001, 356995102464000, 357001369406641, 754574702919103, 40279687], 'label': '387072.a.3024.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.l1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249572
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.g1', '1512.r1'], 'contains': ['6048.bb2', '6048.bb1', '6048.bd1', '6048.bf1', '6048.bm1', '6048.bn2', '6048.bn1', '6048.do1', '6048.do2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3064, -1, 5838, -1], 'generators': [121, 1108948190072263, 4540245191228183, 357001369406641, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.3024.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.m1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249573
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.q1'], 'contains': ['6048.bg2', '6048.bg1', '6048.bh1', '6048.bj1', '6048.bo2', '6048.bo1', '6048.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1717, -1, 4742, -1], 'generators': [4894624944961217, 121, 754574702919103, 357001369406641, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.3024.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.n1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249574
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.o2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.g1', '1512.h1', '1512.q1'], 'contains': ['6048.bb2', '6048.bd1', '6048.bg1', '6048.bi1', '6048.bq2', '6048.bt2', '6048.bv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2672, -1, 5201, -1], 'generators': [121, 4540238964207377, 754574702919103, 356995102464000, 357001329847801, 1307674368001, 5167], 'label': '387072.a.3024.o2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.o2', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249575
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.g1', '1512.h1', '1512.q1'], 'contains': ['6048.bb1', '6048.bd1', '6048.bg2', '6048.bi1', '6048.bq1', '6048.bt1', '6048.bv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2681, -1, 5224, -1], 'generators': [121, 4895932659609022, 1108948190077416, 356995102464000, 357001329847801, 1307674368001, 5167], 'label': '387072.a.3024.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.o2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.o1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249576
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.p2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.h1', '1512.r1'], 'contains': ['6048.bb1', '6048.bc1', '6048.bg2', '6048.bh1', '6048.bq2', '6048.bt2', '6048.bu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1826, -1, 4788, -1], 'generators': [4894624944961217, 121, 754574702919103, 356995102464000, 357001329847801, 1307674368001, 5167], 'label': '387072.a.3024.p2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.p2', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249577
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.h1', '1512.r1'], 'contains': ['6048.bb2', '6048.bc1', '6048.bg1', '6048.bh1', '6048.bq1', '6048.bt1', '6048.bu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1816, -1, 4719, -1], 'generators': [4538931330119182, 121, 1108948190077416, 356995102464000, 357001329847801, 1307674368001, 5167], 'label': '387072.a.3024.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.p2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.p1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249578
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.k1', '1512.q1'], 'contains': ['6048.a2', '6048.a1', '6048.b1', '6048.b2', '6048.d1', '6048.d2', '6048.k1', '6048.l1', '6048.m1', '6048.n3', '6048.n4', '6048.ba1', '6048.be1', '6048.bj1', '6048.bq2', '6048.bq1', '6048.bs1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1518, -1, 3428, -1], 'generators': [121, 4540238964207377, 1108948190077416, 356995102464000, 357001329847801, 1307674368001, 5167], 'label': '387072.a.3024.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.q1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249579
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '168.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['84.a1'], 'contains': ['336.a1', '336.c1', '504.f1', '504.g1', '672.e1', '2688.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5289, -1, 2265, -1], 'generators': [365364606717486, 6035513869768025, 6036942337539703, 357001369769646, 5167, 40284847, 356995142748840, 126, 1307674368006, 363000], 'label': '387072.a.168.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '168.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.a1', 'subgroup_fusion': None, 'weyl_group': '2304.fd'}
  • id: 66249580
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.g1', '1512.h1', '1512.r1'], 'contains': ['6048.bb2', '6048.bb1', '6048.bc1', '6048.bd1', '6048.br1', '6048.bt2', '6048.bt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2640, -1, 5058, -1], 'generators': [4538931330119182, 121, 754574702919103, 356995102464000, 357001329847801, 1307674368001, 5167], 'label': '387072.a.3024.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.r1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249581
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.g1', '1512.k1', '1512.r1'], 'contains': ['6048.c2', '6048.c1', '6048.e1', '6048.e2', '6048.f1', '6048.f2', '6048.l1', '6048.n3', '6048.n4', '6048.o1', '6048.p1', '6048.ba1', '6048.be1', '6048.bf1', '6048.bq2', '6048.bq1', '6048.br1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1607, -1, 3543, -1], 'generators': [4894624944961217, 121, 1108948190077416, 356995102464000, 357001329847801, 1307674368001, 5167], 'label': '387072.a.3024.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.s1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249582
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.h1', '1512.q1'], 'contains': ['6048.bg2', '6048.bg1', '6048.bh1', '6048.bi1', '6048.bs1', '6048.bt2', '6048.bt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2061, -1, 4969, -1], 'generators': [121, 4895932659609022, 754574702919103, 356995102464000, 357001329847801, 1307674368001, 5167], 'label': '387072.a.3024.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.t1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249583
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.u2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.g1', '1512.s1'], 'contains': ['6048.g2', '6048.j2', '6048.u2', '6048.w2', '6048.bm1', '6048.bn1', '6048.bo2', '6048.bp1', '6048.bq2', '6048.bt1', '6048.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2820, -1, 5884, -1], 'generators': [5160, 121, 754574702919103, 357001369406641, 356995142385840, 40284847, 1307674731001], 'label': '387072.a.3024.u2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.u2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249584
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.g1', '1512.s1'], 'contains': ['6048.g1', '6048.j1', '6048.u1', '6048.w1', '6048.bm1', '6048.bn2', '6048.bo1', '6048.bp1', '6048.bq1', '6048.bt2', '6048.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2808, -1, 5663, -1], 'generators': [5160, 121, 1307674368006, 754574702919103, 357001369406641, 356995142385840, 40284847], 'label': '387072.a.3024.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.u2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.u1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249585
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.g1', '1512.o1', '1512.s1'], 'contains': ['6048.h1', '6048.v1', '6048.z1', '6048.bn2', '6048.bn1', '6048.br1', '6048.bv1', '6048.bx1', '6048.dp1', '6048.dp2', '6048.dp3', '6048.dp4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [5892, -1, 8533, -1], 'generators': [5160, 121, 1307714289846, 754574702919103, 357001329484801, 356995102464000, 363007], 'label': '387072.a.3024.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '3024.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.v1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249586
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.f1', '1512.p1', '1512.s1'], 'contains': ['6048.i1', '6048.x1', '6048.y1', '6048.bo2', '6048.bo1', '6048.bs1', '6048.bu1', '6048.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2336, -1, 5036, -1], 'generators': [5160, 121, 1307714289846, 1108948190077416, 357001329484801, 356995102464000, 363007], 'label': '387072.a.3024.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '3024.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.w1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249587
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.o1', '1512.p1', '1512.t1'], 'contains': ['6048.y1', '6048.z1', '6048.bt3', '6048.bw1', '6048.bx1', '6048.dq1', '6048.dq2', '6048.dq3', '6048.dq4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5441, -1, 8058, -1], 'generators': [5160, 121, 1307714289846, 754574702919096, 357001329484801, 356995102464000, 363007], 'label': '387072.a.3024.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '3024.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.x1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249588
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.e1', '1512.i1', '1512.j1', '1512.m1'], 'contains': ['6048.q1', '6048.t2', '6048.bk1', '6048.bl1', '6048.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2833, -1, 4936, -1], 'generators': [367920, 1307674368001, 356995102827000, 1108948190077423, 357001329484801, 362881, 363007], 'label': '387072.a.3024.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '3024.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.y1', 'subgroup_fusion': None, 'weyl_group': '192.1508'}
  • id: 66249589
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.y2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.e2', '1512.m1'], 'contains': ['6048.q3', '6048.t4', '6048.bk1', '6048.bk2', '6048.bl1', '6048.bl2', '6048.by2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2974, -1, 5390, -1], 'generators': [1108948190072256, 5160, 1307674368001, 356995102827000, 357001329847801, 362881, 363007], 'label': '387072.a.3024.y2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.d1', 'old_label': '3024.y2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.y2', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249590
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '168.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['84.a1'], 'contains': ['336.a1', '504.h1', '504.i1', '672.f1', '2688.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5262, -1, 2104, -1], 'generators': [365364606717486, 6036942337539703, 6389887356916144, 357001369769646, 5167, 40284847, 356995142748840, 126, 1307674368006, 363000], 'label': '387072.a.168.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '168.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.b1', 'subgroup_fusion': None, 'weyl_group': '2304.fd'}
  • id: 66249591
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.y3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.i2', '1512.i1', '1512.j1', '1512.j2', '1512.m1'], 'contains': ['6048.q2', '6048.q1', '6048.t2', '6048.t1', '6048.bk2', '6048.bl2', '6048.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2661, -1, 4906, -1], 'generators': [5160, 362881, 357001329847801, 1108948190072256, 356995102827000, 363007, 1307674731001], 'label': '387072.a.3024.y3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.y3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.y3', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 66249592
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.h1', '1512.i3', '1512.j1', '1512.j2', '1512.k1', '1512.m1', '1512.s1'], 'contains': ['6048.q2', '6048.q1', '6048.q3', '6048.q4', '6048.q5', '6048.r1', '6048.t3', '6048.bq2', '6048.bq1', '6048.br1', '6048.bs1', '6048.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 189, 'diagramx': [2139, -1, 4188, -1], 'generators': [5160, 121, 1108948190077416, 357001329484801, 356995102464000, 363007, 1307674731001], 'label': '387072.a.3024.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '189.a1', 'old_label': '3024.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.z1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 66249593
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.h1', '1512.l1', '1512.n1', '1512.s1', '1512.t1'], 'contains': ['6048.s1', '6048.s2', '6048.s3', '6048.bt2', '6048.bt1', '6048.bt3', '6048.bu1', '6048.bv1', '6048.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3377, -1, 6126, -1], 'generators': [5160, 121, 754574702919096, 357001329484801, 356995102464000, 363007, 1307674731001], 'label': '387072.a.3024.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '3024.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.ba1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249594
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.i2', '1512.i1', '1512.i3', '1512.l1', '1512.m1', '1512.t1'], 'contains': ['6048.t3', '6048.t2', '6048.t1', '6048.t4', '6048.bw1', '6048.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 189, 'diagramx': [2845, -1, 5415, -1], 'generators': [5160, 121, 357001329484801, 356995102464000, 1108948190077423, 363007, 1307674731001], 'label': '387072.a.3024.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '189.a1', 'old_label': '3024.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bb1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 66249595
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.f1', '1512.m1', '1512.o1', '1512.u1'], 'contains': ['6048.bk1', '6048.bk2', '6048.br1', '6048.bw1', '6048.bz1', '6048.du1', '6048.du2', '6048.du3', '6048.ee1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3256, -1, 6146, -1], 'generators': [5160, 121, 357001329484801, 356995102464000, 1108948190077423, 1307674368001, 363007], 'label': '387072.a.3024.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '3024.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bc1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249596
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.g1', '1512.m1', '1512.p1', '1512.v1'], 'contains': ['6048.bl1', '6048.bl2', '6048.bs1', '6048.bw1', '6048.bz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3000, -1, 5859, -1], 'generators': [5160, 121, 1108948190077416, 357001329484801, 356995102464000, 1307674368001, 363007], 'label': '387072.a.3024.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '3024.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bd1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249597
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.h1', '1512.n1', '1512.o1', '1512.v1'], 'contains': ['6048.bt3', '6048.bv1', '6048.bz1', '6048.dv1', '6048.dv2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5471, -1, 7511, -1], 'generators': [5160, 121, 754574702919103, 357001329484801, 356995102464000, 1307674368001, 363007], 'label': '387072.a.3024.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '3024.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.be1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249598
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.i1', '1512.n1', '1512.p1', '1512.u1'], 'contains': ['6048.bt3', '6048.bu1', '6048.bz1', '6048.dw1', '6048.ef1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3413, -1, 6165, -1], 'generators': [5160, 121, 754574702919096, 357001329484801, 356995102464000, 1307674368001, 363007], 'label': '387072.a.3024.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '3024.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bf1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249599
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.a1', '1008.j1', '1512.a1', '1512.m1', '1512.n1'], 'contains': ['6048.by1', '6048.by2', '6048.bz1', '6048.ed1', '6048.eg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3783, -1, 6694, -1], 'generators': [5160, 121, 356995142385847, 39921847, 7, 1307674368001, 357001369406646], 'label': '387072.a.3024.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '3024.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bg1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249600
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.k2', '1512.b1', '1512.b4', '1512.c3'], 'contains': ['6048.cg3', '6048.ck1', '6048.ck5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2360, -1, 3727, -1], 'generators': [356995102464121, 1307674735921, 4127382519326782, 4894624944956183, 357001329489840, 1108948190077302, 363007], 'label': '387072.a.3024.bh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '3024.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bh2', 'subgroup_fusion': None, 'weyl_group': '1536.408540902'}
  • id: 66249601
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '168.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.a1', '84.a1'], 'contains': ['336.a1', '504.l1', '504.m1', '672.a1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [5229, -1, 2071, -1], 'generators': [8375691352321, 6036942337539703, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.168.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '168.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.c1', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66249618
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.c1', '1512.b2'], 'contains': ['6048.ck2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [2535, -1, 3750, -1], 'generators': [356995102464121, 1307674735921, 4127388746347576, 357001329489840, 4538937516860177, 363007, 753260761981422], 'label': '387072.a.3024.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.a1', 'old_label': '3024.bm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bm1', 'subgroup_fusion': None, 'weyl_group': '3584.bj'}
  • id: 66249602
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.k1', '1512.b1', '1512.b5', '1512.c2'], 'contains': ['6048.cg4', '6048.ck1', '6048.ck4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2526, -1, 3658, -1], 'generators': [356995102464121, 1307674735921, 4895932619324177, 4127382519326782, 357001329489840, 1108948190077302, 363007], 'label': '387072.a.3024.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '3024.bh2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bh1', 'subgroup_fusion': None, 'weyl_group': '1536.408540902'}
  • id: 66249603
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bh4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b1', '1512.b2', '1512.b5', '1512.b3', '1512.c3', '1512.c1'], 'contains': ['6048.cg4', '6048.cg2', '6048.ck1', '6048.ck2', '6048.ck5', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2392, -1, 3796, -1], 'generators': [356995102464121, 1307674735921, 4127382519326782, 357001329489840, 4540245191228183, 363007, 753260761981422], 'label': '387072.a.3024.bh4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bh3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bh4', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249604
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bh3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b1', '1512.b2', '1512.b4', '1512.b3', '1512.c2', '1512.c4'], 'contains': ['6048.cg5', '6048.cg3', '6048.ck1', '6048.ck2', '6048.ck4', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2378, -1, 3819, -1], 'generators': [356995102464121, 1307674735921, 4127382519326782, 4894624944956183, 357001329489840, 363007, 1108948190072382], 'label': '387072.a.3024.bh3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bh4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bh3', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249605
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bh6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b5', '1512.b4', '1512.c1', '1512.c2', '1512.c5'], 'contains': ['6048.cg3', '6048.cg1', '6048.cg2', '6048.ck2', '6048.ck5', '6048.ck4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2229, -1, 3681, -1], 'generators': [356995102464121, 1307674735921, 4127382519326782, 357001329489840, 4538937516860177, 363007, 753260761981422], 'label': '387072.a.3024.bh6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bh5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bh6', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249606
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bh5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b5', '1512.b3', '1512.c3', '1512.c4', '1512.c5'], 'contains': ['6048.cg4', '6048.cg5', '6048.cg1', '6048.ck2', '6048.ck5', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2248, -1, 3773, -1], 'generators': [356995102464121, 4895932619324182, 1307674735921, 4127382519326782, 357001329489840, 363007, 1108948190072382], 'label': '387072.a.3024.bh5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bh6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bh5', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249607
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bi2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b5', '1512.c3', '1512.c2', '1512.c5', '1512.d1'], 'contains': ['6048.cg4', '6048.cg3', '6048.cg1', '6048.ci1', '6048.ck2', '6048.ck5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2108, -1, 3566, -1], 'generators': [356995102464121, 1307674735921, 4895932619324177, 4127382519326782, 357001329489840, 363007, 753260761981422], 'label': '387072.a.3024.bi2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bi2', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249608
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b4', '1512.c1', '1512.c2', '1512.c4', '1512.c5', '1512.d1'], 'contains': ['6048.cg5', '6048.cg3', '6048.cg1', '6048.cg2', '6048.ci1', '6048.ck2', '6048.ck4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1958, -1, 3451, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 4127382519326782, 357001329489840, 4538937516860177, 363007], 'label': '387072.a.3024.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bi2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bi1', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249609
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bi4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b5', '1512.b3', '1512.c1', '1512.c2', '1512.c4', '1512.c5', '1512.d1'], 'contains': ['6048.cg4', '6048.cg5', '6048.cg1', '6048.cg2', '6048.ci1', '6048.ck4', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2021, -1, 3474, -1], 'generators': [356995102464121, 1307674735921, 4127382519326782, 357001329489840, 4540245191228183, 363007, 1108948190072382], 'label': '387072.a.3024.bi4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bi3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bi4', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249610
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bi3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b4', '1512.b3', '1512.c3', '1512.c1', '1512.c4', '1512.c5', '1512.d1'], 'contains': ['6048.cg5', '6048.cg3', '6048.cg1', '6048.cg2', '6048.ci1', '6048.ck5', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2004, -1, 3497, -1], 'generators': [356995102464121, 1307674735921, 4127382519326782, 4894624944956183, 357001329489840, 363007, 753260761981422], 'label': '387072.a.3024.bi3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bi4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bi3', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249611
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.c3', '1512.c1', '1512.c2', '1512.c4', '1512.c5', '1512.e1'], 'contains': ['6048.ca1', '6048.cc1', '6048.cg4', '6048.cg5', '6048.cg3', '6048.cg1', '6048.cg2', '6048.cj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1879, -1, 3315, -1], 'generators': [356995102464121, 4895932619324182, 1307674735921, 4127382519689656, 357001329489840, 363007, 1108948190072382], 'label': '387072.a.3024.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bj1', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249612
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.a1', '84.b1'], 'contains': ['504.m1', '672.c1', '10752.e1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [9574, -1, 9907, -1], 'generators': [1307674368001, 7, 363000, 5160, 1120133873393272, 3022645625015455, 357001369769646, 121, 40284847, 356995142748847], 'label': '387072.a.168.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '168.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1', 'subgroup_fusion': None, 'weyl_group': '13824.s'}
  • id: 66249613
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.l1', '1512.c1', '1512.d1', '1512.e1'], 'contains': ['6048.cb1', '6048.cd1', '6048.cg2', '6048.ci1', '6048.cj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [1378, -1, 2658, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 4127382519326782, 357001329489840, 4540245191228183, 363007], 'label': '387072.a.3024.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '3024.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bk1', 'subgroup_fusion': None, 'weyl_group': '1536.408540902'}
  • id: 66249614
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.l2', '1512.e1'], 'contains': ['6048.cb1', '6048.cb2', '6048.cc1', '6048.cf1', '6048.ch2', '6048.ch3', '6048.ci2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1354, -1, 2547, -1], 'generators': [356995102831920, 4895932619324182, 1307674373166, 4127382519689656, 368041, 1108948190072382, 357001329484806], 'label': '387072.a.3024.bk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '3024.bk2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bk2', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66249615
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bk3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.l3', '1512.e1'], 'contains': ['6048.ca1', '6048.cd1', '6048.cd2', '6048.ce1', '6048.ch2', '6048.ch3', '6048.ci3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1487, -1, 2593, -1], 'generators': [356995102831920, 1307674373166, 4127382519689656, 368041, 4540245191228183, 1108948190072382, 357001329484806], 'label': '387072.a.3024.bk3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '3024.bk3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bk3', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66249616
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bk4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.c3', '1512.c2', '1512.c4', '1512.d1', '1512.e1'], 'contains': ['6048.cb2', '6048.cd2', '6048.cg4', '6048.cg5', '6048.cg3', '6048.ci1', '6048.cj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1595, -1, 3087, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 4127382519326782, 4894624944956183, 357001329489840, 363007], 'label': '387072.a.3024.bk4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bk4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bk4', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249617
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.b1', '1008.m1', '1512.e1'], 'contains': ['6048.ce1', '6048.cf1', '6048.cj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [1314, -1, 1376, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 4128696421078456, 357001329489840, 4538937516860182, 363007], 'label': '387072.a.3024.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '3024.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 66249619
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.b2', '1512.b5', '1512.b4', '1512.b3'], 'contains': ['6048.ck2', '6048.ck5', '6048.ck4', '6048.ck3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2492, -1, 3980, -1], 'generators': [356995102464121, 1307674735921, 4127382519326782, 357001329489840, 4538937516860177, 363007, 1108948190072382], 'label': '387072.a.3024.bm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '3024.bm2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bm2', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66249620
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.n1', '1512.o1'], 'contains': ['6048.cl1', '6048.cn1', '6048.cs1', '6048.dp2', '6048.dq2', '6048.du1', '6048.dv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5520, -1, 8097, -1], 'generators': [367927, 1108948190072263, 362886, 356995142385847, 357001369769641, 1307674368001, 40284840], 'label': '387072.a.3024.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '3024.bn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bn1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249621
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.o1'], 'contains': ['6048.cl1', '6048.cl2', '6048.cn1', '6048.cn2', '6048.cs2', '6048.dp1', '6048.dp3', '6048.dp4', '6048.dq1', '6048.dq3', '6048.dq4', '6048.du2', '6048.dv2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5551, -1, 8478, -1], 'generators': [357001369769646, 121, 1307674368006, 754574702919096, 356995142385847, 5167, 40284840], 'label': '387072.a.3024.bn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '3024.bn2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bn2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249622
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.u1'], 'contains': ['6048.co2', '6048.co1', '6048.cp2', '6048.cp1', '6048.cq1', '6048.cr1', '6048.ct1', '6048.dr1', '6048.ds1', '6048.du3', '6048.dw1', '6048.eb1', '6048.ec1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3356, -1, 6102, -1], 'generators': [1307674368006, 362886, 356995142748847, 1108948190077423, 40284847, 357001369406646, 5167], 'label': '387072.a.3024.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '3024.bo1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bo1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249623
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '168.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.a1'], 'contains': ['504.m1', '672.d1', '10752.f1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 56, 'diagramx': [9837, -1, 9943, -1], 'generators': [6036942337539703, 5643567240227136, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.168.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '56.a1', 'old_label': '168.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.e1', 'subgroup_fusion': None, 'weyl_group': '6912.bl'}
  • id: 66249624
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.p1', '1512.s1'], 'contains': ['6048.g2', '6048.h1', '6048.i1', '6048.j2', '6048.q4', '6048.s2', '6048.u1', '6048.w1', '6048.cu1', '6048.cv1', '6048.cw1', '6048.cx1', '6048.cy1', '6048.da1', '6048.de2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2768, -1, 5992, -1], 'generators': [1307674731006, 754574702919096, 362886, 356995142385840, 357001369769641, 40284847, 5167], 'label': '387072.a.3024.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '3024.bp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bp1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249625
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.s1'], 'contains': ['6048.g1', '6048.h1', '6048.i1', '6048.j1', '6048.q5', '6048.s3', '6048.u2', '6048.w2', '6048.cu2', '6048.cv1', '6048.cw1', '6048.cx2', '6048.cy2', '6048.da2', '6048.de3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2795, -1, 6022, -1], 'generators': [754574702919096, 362886, 356995142385840, 357001369769641, 1307674368001, 40284847, 5167], 'label': '387072.a.3024.bp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '3024.bp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bp2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249626
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.o1', '1512.s1'], 'contains': ['6048.g2', '6048.g1', '6048.r1', '6048.s1', '6048.v1', '6048.x1', '6048.cu1', '6048.cu2', '6048.cz1', '6048.db1', '6048.de1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [2328, -1, 5079, -1], 'generators': [357001369769646, 121, 1307714289846, 754574702919103, 40279687, 356995102464000, 363007], 'label': '387072.a.3024.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '3024.bq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bq1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249627
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.s1', '1512.t1'], 'contains': ['6048.j2', '6048.j1', '6048.s1', '6048.t3', '6048.y1', '6048.z1', '6048.cx1', '6048.cx2', '6048.dc1', '6048.dd1', '6048.de1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2911, -1, 6047, -1], 'generators': [357001369769646, 121, 1307714289846, 754574702919096, 40279687, 356995102464000, 363007], 'label': '387072.a.3024.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '3024.br1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.br1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249628
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.o1', '1512.s1', '1512.u1'], 'contains': ['6048.u2', '6048.u1', '6048.v1', '6048.y1', '6048.br1', '6048.bt3', '6048.cl1', '6048.cl2', '6048.cl3', '6048.cq1', '6048.cy1', '6048.cy2', '6048.cz1', '6048.dd1', '6048.df2', '6048.dr1', '6048.dr2', '6048.dr3', '6048.dx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3584, -1, 6677, -1], 'generators': [5160, 121, 1307714652846, 754574702919096, 357001329484801, 356995102464000, 363007], 'label': '387072.a.3024.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '3024.bs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bs1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249629
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.p1', '1512.s1', '1512.v1'], 'contains': ['6048.w2', '6048.w1', '6048.x1', '6048.z1', '6048.bs1', '6048.bt3', '6048.da1', '6048.da2', '6048.db1', '6048.dc1', '6048.df2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3216, -1, 5909, -1], 'generators': [5160, 121, 1307714652846, 1108948190077416, 357001329484801, 356995102464000, 363007], 'label': '387072.a.3024.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '3024.bt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bt1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249630
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.p1', '1512.t1', '1512.u1'], 'contains': ['6048.y1', '6048.bu1', '6048.bw1', '6048.cm1', '6048.cr1', '6048.dc1', '6048.df2', '6048.ds1', '6048.dy1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2943, -1, 5929, -1], 'generators': [5160, 121, 1307714652846, 357001329484801, 356995102464000, 1108948190077423, 363007], 'label': '387072.a.3024.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '3024.bu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bu1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249631
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.o1', '1512.t1', '1512.v1'], 'contains': ['6048.z1', '6048.bv1', '6048.bw1', '6048.cn1', '6048.cn2', '6048.dd1', '6048.df2', '6048.dt1', '6048.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5460, -1, 8121, -1], 'generators': [5160, 121, 1307714652846, 754574702919103, 357001329484801, 356995102464000, 363007], 'label': '387072.a.3024.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '3024.bv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bv1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249632
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.q1', '1008.r1', '1008.s1', '1512.a1', '1512.o1', '1512.p1'], 'contains': ['6048.bx1', '6048.bx2', '6048.bz1', '6048.cs1', '6048.cs2', '6048.cs3', '6048.ct1', '6048.df1', '6048.df2', '6048.dz1', '6048.dz2', '6048.ed1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5294, -1, 8075, -1], 'generators': [5160, 121, 356995142748847, 7, 1307674368001, 40284847, 357001369406646], 'label': '387072.a.3024.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '3024.bw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bw1', 'subgroup_fusion': None, 'weyl_group': '18.3'}
  • id: 66249633
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.u1'], 'contains': ['6048.cl3', '6048.cm1', '6048.co2', '6048.co1', '6048.cp2', '6048.cp1', '6048.dh1', '6048.di1', '6048.dj2', '6048.du3', '6048.dw1', '6048.dx1', '6048.dy1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3344, -1, 6072, -1], 'generators': [357001369769646, 5160, 121, 1307674731006, 754574702919096, 356995142748847, 40284847], 'label': '387072.a.3024.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '3024.bx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249634
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['18.a1', '27.a1', '63.a1', '72.c1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3300, -1, 2157, -1], 'generators': [1864985502671568, 1307674368001, 7, 363000, 6385615834383665, 4124652952095055, 5160, 1864918092470382, 357001369769646, 121, 40284847, 4877840422812233, 356995142748847], 'label': '387072.a.9.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '9.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66249635
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '189.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.a1', '63.a1'], 'contains': ['378.a1', '378.b1', '378.c1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3132, -1, 3612, -1], 'generators': [754574702919096, 4894618758220222, 4127382519326782, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.189.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '189.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '189.a1', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66249636
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.q1', '1512.r1'], 'contains': ['6048.ba1', '6048.bd1', '6048.bg2', '6048.bg1', '6048.dk1', '6048.dl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1835, -1, 4811, -1], 'generators': [357001369769646, 4538931330119182, 121, 39916920, 754574702919103, 356995102464000, 1307674368001], 'label': '387072.a.3024.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.by1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.by1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249637
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.q1', '1512.r1'], 'contains': ['6048.bb2', '6048.bb1', '6048.be1', '6048.bh1', '6048.dk1', '6048.dl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1967, -1, 4765, -1], 'generators': [357001369769646, 4538931330119182, 121, 39916920, 356995102464000, 754568476261062, 1307674368001], 'label': '387072.a.3024.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.bz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.bz1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249638
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.t1', '1512.r1'], 'contains': ['6048.bc1', '6048.bf1', '6048.dg1', '6048.dk1', '6048.ea1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [1858, -1, 3635, -1], 'generators': [357001369769646, 121, 4895932659241102, 39916920, 356995102464000, 754568476261062, 1307674368001], 'label': '387072.a.3024.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.c1', 'old_label': '3024.ca1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.ca1', 'subgroup_fusion': None, 'weyl_group': '384.18221'}
  • id: 66249639
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.u1', '1512.q1'], 'contains': ['6048.bi1', '6048.bj1', '6048.dl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [2424, -1, 4880, -1], 'generators': [357001369769646, 121, 39916920, 754574702919103, 356995102464000, 1307674368001, 4894618717940423], 'label': '387072.a.3024.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.c1', 'old_label': '3024.cb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.cb1', 'subgroup_fusion': None, 'weyl_group': '384.18221'}
  • id: 66249640
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.cc2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.q1', '1512.r1', '1512.s1'], 'contains': ['6048.bn2', '6048.bo1', '6048.bq2', '6048.bt1', '6048.cu1', '6048.cx1', '6048.cy2', '6048.da2', '6048.dk1', '6048.dl1', '6048.dm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2602, -1, 5330, -1], 'generators': [357001369769646, 121, 367920, 754574702919103, 356995142748840, 1307674368001, 40284840], 'label': '387072.a.3024.cc2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.cc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.cc2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249641
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.q1', '1512.r1', '1512.s1'], 'contains': ['6048.bn1', '6048.bo2', '6048.bq1', '6048.bt2', '6048.cu2', '6048.cx2', '6048.cy1', '6048.da1', '6048.dk1', '6048.dl1', '6048.dm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2567, -1, 5360, -1], 'generators': [5160, 1307674368006, 754574702919096, 362886, 357001369769641, 356995142748840, 40284840], 'label': '387072.a.3024.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '3024.cc2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.cc1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249642
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.r1', '1512.s1', '1512.u1'], 'contains': ['6048.bm1', '6048.br1', '6048.bu1', '6048.co2', '6048.co1', '6048.cv1', '6048.cz1', '6048.dc1', '6048.dh1', '6048.dk1', '6048.dm1', '6048.eb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2630, -1, 5178, -1], 'generators': [357001369769646, 121, 1108948190072263, 40279687, 356995102464000, 1307674368001, 363007], 'label': '387072.a.3024.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '3024.cd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.cd1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249643
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.q1', '1512.s1', '1512.v1'], 'contains': ['6048.bp1', '6048.bs1', '6048.bv1', '6048.cw1', '6048.db1', '6048.dd1', '6048.dl1', '6048.dm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3472, -1, 6184, -1], 'generators': [357001369769646, 121, 754574702919103, 40279687, 356995102464000, 1307674368001, 363007], 'label': '387072.a.3024.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '3024.ce1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.ce1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249644
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1512.t1', '1512.u1', '1512.v1'], 'contains': ['6048.bt3', '6048.bw1', '6048.cp2', '6048.cp1', '6048.dc1', '6048.dd1', '6048.di1', '6048.dm1', '6048.ec1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3444, -1, 6404, -1], 'generators': [357001369769646, 121, 754574702919096, 40279687, 356995102464000, 1307674368001, 363007], 'label': '387072.a.3024.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '3024.cf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.cf1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249645
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.v1', '1512.a1', '1512.s1', '1512.t1'], 'contains': ['6048.bx1', '6048.bx2', '6048.by1', '6048.by2', '6048.cs1', '6048.cs2', '6048.cs3', '6048.de1', '6048.de2', '6048.de3', '6048.df1', '6048.df2', '6048.dj1', '6048.dj2', '6048.dm1', '6048.ed1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [5044, -1, 7983, -1], 'generators': [357001369769646, 5160, 121, 356995142385847, 7, 1307674368001, 40284847], 'label': '387072.a.3024.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '3024.cg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.cg1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249646
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '216.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '108.a1'], 'contains': ['432.d1', '432.e1', '1512.u1', '13824.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3237, -1, 2494, -1], 'generators': [5160, 1110235220680312, 362881, 1877451650294527, 356995142748847, 40284847, 363007, 357001369406646, 1307674731001], 'label': '387072.a.216.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '216.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.a1', 'subgroup_fusion': None, 'weyl_group': '5376.bi'}
  • id: 66249647
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.w1', '1008.x1', '1512.u1'], 'contains': ['6048.cq1', '6048.cr1', '6048.dh1', '6048.di1', '6048.dn1', '6048.ee1', '6048.ef1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3197, -1, 5782, -1], 'generators': [357001369769646, 5160, 121, 754574702919096, 356995142748847, 1307674368001, 40284847], 'label': '387072.a.3024.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '3024.ch1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.ch1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249648
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.d1', '1008.y1', '1512.a1', '1512.u1', '1512.v1'], 'contains': ['6048.bz1', '6048.ct1', '6048.df1', '6048.df2', '6048.dj1', '6048.dj2', '6048.dm1', '6048.dn1', '6048.eg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4664, -1, 6708, -1], 'generators': [357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7], 'label': '387072.a.3024.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '3024.ci1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.ci1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 66249649
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.z1', '1008.bb1', '1512.o1'], 'contains': ['6048.dp3', '6048.dq3', '6048.dr2', '6048.dt1', '6048.du1', '6048.dv1', '6048.dz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5849, -1, 8146, -1], 'generators': [121, 367920, 754574702919096, 356995142385847, 357001369406641, 1307674731001, 40284840], 'label': '387072.a.3024.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '3024.cj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.cj1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249650
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.cj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.ba1', '1512.o1'], 'contains': ['6048.dp1', '6048.dp2', '6048.dp4', '6048.dq1', '6048.dq2', '6048.dq4', '6048.dr2', '6048.dr3', '6048.dt1', '6048.dt2', '6048.du2', '6048.dv2', '6048.dz2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5836, -1, 8508, -1], 'generators': [5160, 362886, 356995142385847, 1108948190077423, 1307674368001, 357001369406646, 40284840], 'label': '387072.a.3024.cj2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '3024.cj2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.cj2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249651
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3024.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.e1', '1008.bc1', '1512.u1'], 'contains': ['6048.dx1', '6048.dy1', '6048.eb1', '6048.ec1', '6048.ee1', '6048.ef1', '6048.eg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3178, -1, 5812, -1], 'generators': [5160, 121, 754574702919096, 357001369406641, 356995142385840, 1307674368001, 39921840], 'label': '387072.a.3024.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '3024.ck1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3024.ck1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249652
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3456.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.a1', '432.b1', '432.c1', '1152.a1', '1728.a1'], 'contains': ['6912.b1', '24192.bk1', '27648.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [3033, -1, 2217, -1], 'generators': [5278182555324113, 367927, 355687468017841, 355693655116807, 1307714652720], 'label': '387072.a.3456.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '3456.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3456.a1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249653
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3456.a2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.a1', '1152.a2', '1728.a1'], 'contains': ['6912.b1', '24192.bk2', '27648.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [3043, -1, 2187, -1], 'generators': [367927, 1307674368127, 355693655116807, 5635171390487758, 355687428459006], 'label': '387072.a.3456.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '3456.a2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3456.a2', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249654
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3456.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.b1', '1152.b1'], 'contains': ['6912.c1', '24192.bo1', '27648.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1152, 'diagramx': [326, -1, 42, -1], 'generators': [5633863716119633, 753266989002223, 3773008992977423, 4894618717935496, 357001329852847], 'label': '387072.a.3456.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1152.b1', 'old_label': '3456.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3456.b1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249655
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3456.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['432.d1', '1152.c1', '1728.a1'], 'contains': ['6912.b1', '24192.cr1', '27648.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [3052, -1, 2240, -1], 'generators': [357001369406760, 356995102826886, 39916920, 5278182555329273, 1307714652841], 'label': '387072.a.3456.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '3456.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3456.c1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249656
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '3584.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '129024.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.a1', '1792.a1'], 'contains': ['10752.d1', '10752.e1', '10752.f1', '14336.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1792, 'diagramx': [9976, -1, 9979, -1], 'generators': [357001329852721, 6393931212977977, 5643567240227136, 8375731269120, 355687468017967], 'label': '387072.a.3584.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1792.a1', 'old_label': '3584.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3584.a1', 'subgroup_fusion': None, 'weyl_group': '72.42'}
  • id: 66249657
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '216.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1', '108.a1'], 'contains': ['432.d1', '1512.v1', '13824.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3284, -1, 2531, -1], 'generators': [1110235220680193, 1877451650294527, 5160, 1307674731001, 357001369406646, 40284847, 356995142748847, 362881, 363007], 'label': '387072.a.216.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '216.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.b1', 'subgroup_fusion': None, 'weyl_group': '5376.bi'}
  • id: 66249658
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.b1', '1008.f1', '2016.b1', '2016.d1', '2016.t1'], 'contains': ['8064.f1', '8064.l1', '8064.bc1', '8064.bg1', '12096.ba1', '16128.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4739, -1, 2096, -1], 'generators': [367920, 6384308120098865, 355687428096001, 1864985503034449, 40284726, 355693695401647], 'label': '387072.a.4032.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '4032.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.a1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249659
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.a1', '1008.g1', '2016.b1', '2016.e1', '2016.v1'], 'contains': ['8064.f1', '8064.m1', '12096.bc1', '16128.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [2391, -1, 2028, -1], 'generators': [367920, 6028626958945505, 355687428096001, 1864985503034449, 40284726, 355693695401647], 'label': '387072.a.4032.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '4032.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.b1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249660
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.h1', '2016.c1', '2016.e1', '2016.t1'], 'contains': ['8064.f1', '8064.bd1', '12096.be1', '16128.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4653, -1, 2127, -1], 'generators': [367920, 6029928406650550, 355687428096001, 1864985503034449, 40284726, 355693695401647], 'label': '387072.a.4032.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '4032.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.c1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249661
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.i1', '2016.c1', '2016.d1', '2016.v1'], 'contains': ['8064.f1', '8064.bi1', '12096.bf1', '16128.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [6007, -1, 2403, -1], 'generators': [6385622021855590, 367920, 355687428096001, 1864985503034449, 40284726, 355693695401647], 'label': '387072.a.4032.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '4032.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.d1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249662
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.c1', '1008.d1', '1008.j1', '2016.b1', '2016.c1', '2016.x1'], 'contains': ['8064.f1', '8064.n1', '8064.n4', '8064.be1', '8064.bk1', '12096.bh1', '16128.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [5957, -1, 1746, -1], 'generators': [1307674731006, 126, 356995102464007, 40279687, 1866299404418334, 357001329484806], 'label': '387072.a.4032.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '4032.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.e1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249663
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.e2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.j1', '2016.x1'], 'contains': ['8064.f2', '8064.n2', '8064.n3', '8064.be2', '8064.be3', '8064.bk1', '8064.bk2', '12096.bh2', '16128.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6479, -1, 1576, -1], 'generators': [39921961, 1307714289846, 1864985502671568, 356995142385847, 357001329484806, 5167], 'label': '387072.a.4032.e2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '4032.e2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.e2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249664
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.y1', '2016.d1', '2016.e1', '2016.x1'], 'contains': ['8064.f1', '8064.h1', '8064.bf2', '8064.bk2', '8064.bl1', '12096.bi1', '16128.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [6520, -1, 1658, -1], 'generators': [367920, 1864985503034449, 40284726, 356995142748840, 357001329484806, 1307714652841], 'label': '387072.a.4032.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '4032.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.f1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249665
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.f2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.y1', '2016.x1'], 'contains': ['8064.f2', '8064.h2', '8064.h3', '8064.bf1', '8064.bf3', '8064.bk1', '8064.bl1', '12096.bi2', '16128.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6539, -1, 1495, -1], 'generators': [126, 1864991769967129, 357001369406641, 40279687, 356995142385840, 1307714652841], 'label': '387072.a.4032.f2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '4032.f2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.f2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249666
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.h1', '2016.i1', '2016.j1', '2016.j2', '2016.k1', '2016.s1', '2016.bb1'], 'contains': ['8064.bs1', '12096.bn1', '16128.g1', '16128.i1', '16128.i2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4220, -1, 1788, -1], 'generators': [121, 1307714289846, 1864991769604248, 39916920, 356995142385840, 357001369406646], 'label': '387072.a.4032.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '4032.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.g1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249719
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '5376.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['84.b1', '1792.a1'], 'contains': ['10752.e1', '16128.bc1', '21504.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1792, 'diagramx': [9952, -1, 9953, -1], 'generators': [356995142743806, 765760347043913, 1869015425765182, 3377019112168608, 355693655484727], 'label': '387072.a.5376.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1792.a1', 'old_label': '5376.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5376.e1', 'subgroup_fusion': None, 'weyl_group': '216.90'}
  • id: 66249667
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.j1', '2016.bc1'], 'contains': ['8064.f3', '8064.g1', '8064.g2', '8064.bp1', '8064.bq1', '8064.bv1', '12096.bq1', '16128.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4844, -1, 758, -1], 'generators': [1866299444335135, 1307674368006, 39916927, 362886, 356995102464000, 357001329484806], 'label': '387072.a.4032.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '4032.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.h1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249668
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '216.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.a1', '72.c1', '108.a1'], 'contains': ['432.a1', '432.d1', '1512.a1', '1728.a1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3150, -1, 2558, -1], 'generators': [5278182555329273, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.216.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '216.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.c1', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66249669
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.m1'], 'contains': ['8064.j1', '8064.o1', '8064.p1', '12096.br1', '16128.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [1872, -1, 320, -1], 'generators': [40279801, 1864918092828222, 6384314387399344, 3768959337257814, 1864985502671568, 355693695401647], 'label': '387072.a.4032.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.i1', 'old_label': '4032.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.i1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249670
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.m1'], 'contains': ['8064.i1', '8064.p2', '8064.q1', '12096.bu1', '16128.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3025, -1, 208, -1], 'generators': [40279801, 6384314387041504, 3768965564273695, 1864985502671568, 1864924359765817, 355693695401647], 'label': '387072.a.4032.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.j1', 'old_label': '4032.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.j1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249671
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.a1', '2016.l1', '2016.m1', '2016.n1', '2016.o1', '2016.p2', '2016.q1'], 'contains': ['12096.cb1', '16128.i1', '16128.j1', '16128.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2984, -1, 976, -1], 'generators': [1509230664369216, 1509298074570528, 40284726, 355693695401647, 355687428463921, 4124652992374735], 'label': '387072.a.4032.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '4032.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.k1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249672
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.e1', '1008.k2', '1008.k1', '1008.l1', '1008.m1', '2016.b1'], 'contains': ['8064.l1', '8064.m1', '8064.n1', '12096.cg1', '16128.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3163, -1, 2064, -1], 'generators': [6028626958945505, 1864985502671568, 40284726, 355693695401647, 355687428459006, 5167], 'label': '387072.a.4032.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.b1', 'old_label': '4032.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.l1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249673
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.l2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.e2', '1008.l2', '1008.l3', '2016.b1'], 'contains': ['8064.l1', '8064.m1', '8064.n4', '12096.cg2', '16128.h2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3049, -1, 1992, -1], 'generators': [6028626958945505, 1864985503034449, 40284726, 355693695401647, 355687428463921, 363007], 'label': '387072.a.4032.l2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.b1', 'old_label': '4032.l2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.l2', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249674
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.n1', '2016.t1'], 'contains': ['8064.r1', '8064.bc1', '8064.bd1', '12096.cj1', '16128.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4726, -1, 2265, -1], 'generators': [1510612015881168, 1307714289846, 6029934633671470, 357001369406767, 356995102826881, 367920], 'label': '387072.a.4032.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.t1', 'old_label': '4032.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.m1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249675
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['576.a1', '1008.v1', '2016.x1'], 'contains': ['8064.h1', '8064.h2', '8064.n1', '8064.n2', '8064.r2', '8064.be2', '8064.bf1', '12096.cl1', '16128.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5804, -1, 1521, -1], 'generators': [39921961, 1307674731006, 356995102464007, 357001369406641, 40279687, 1866299404418334], 'label': '387072.a.4032.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '4032.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.n1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249676
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.v1', '2016.x1'], 'contains': ['8064.h2', '8064.h3', '8064.n2', '8064.n3', '8064.r1', '8064.be1', '8064.bf2', '12096.cl2', '16128.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5817, -1, 1421, -1], 'generators': [39921961, 40279687, 1510612016239134, 356995142385840, 357001329484806, 1307714652841], 'label': '387072.a.4032.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '4032.n2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.n2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249677
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.n3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.v1', '2016.x1'], 'contains': ['8064.h1', '8064.h3', '8064.n3', '8064.n4', '8064.r2', '8064.be3', '8064.bf3', '12096.cl3', '16128.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5874, -1, 1388, -1], 'generators': [367920, 39921966, 1864985502671568, 357001329484801, 356995102827000, 1307714652841], 'label': '387072.a.4032.n3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '4032.n3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.n3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249678
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.v1', '2016.bc1'], 'contains': ['8064.e1', '8064.g1', '8064.g2', '8064.s1', '8064.bp1', '8064.bu1', '12096.cu1', '16128.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3571, -1, 791, -1], 'generators': [39921961, 1307674368006, 367920, 1509298114492368, 356995102464000, 357001329484806], 'label': '387072.a.4032.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '4032.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.o1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249679
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '224.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.a1', '112.a1'], 'contains': ['672.b1', '672.c1', '672.d1', '14336.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 112, 'diagramx': [9941, -1, 9922, -1], 'generators': [8375691715200, 1307674731006, 6036942337539703, 126, 5643567240227136, 39921847, 356995142748840, 357001369406646, 5167], 'label': '387072.a.224.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '112.a1', 'old_label': '224.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.a1', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66249680
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.o1', '1344.a1'], 'contains': ['8064.a1', '8064.b1', '8064.c1', '8064.d1', '8064.t1', '8064.v1', '8064.x1', '12096.cv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [4201, -1, 664, -1], 'generators': [39921961, 367920, 1864985502671568, 6385622021492825, 357001329484806, 1307714652841], 'label': '387072.a.4032.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '4032.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249681
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.p1', '1344.a1'], 'contains': ['8064.u1', '8064.w1', '8064.z1', '12096.cv1', '16128.bc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5213, -1, 7186, -1], 'generators': [1867707751754897, 1307674368120, 3022645625383375, 39916920, 355693695401647, 355687428459006], 'label': '387072.a.4032.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '4032.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.q1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249682
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.q1', '1344.b1', '2016.bc1'], 'contains': ['8064.f3', '8064.s1', '8064.br1', '12096.db1', '16128.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [4615, -1, 1051, -1], 'generators': [367920, 355687468380841, 355693695401647, 1307674730880, 1510612016239134, 40284847], 'label': '387072.a.4032.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '4032.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.r1', 'subgroup_fusion': None, 'weyl_group': '36.11'}
  • id: 66249683
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.r2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.q1', '2016.t1', '2016.v1', '2016.x1'], 'contains': ['8064.f1', '8064.f2', '8064.r1', '8064.r2', '8064.bm1', '12096.db2', '16128.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [5176, -1, 1915, -1], 'generators': [1307714289846, 367920, 40284726, 356995142385847, 1510612016239134, 357001329847801], 'label': '387072.a.4032.r2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '4032.r2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.r2', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249684
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.r1', '1344.b1', '2016.bc1'], 'contains': ['8064.ba1', '8064.bp1', '8064.br1', '12096.db1', '16128.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5037, -1, 920, -1], 'generators': [39921961, 367920, 356995142748847, 357001369769641, 1864991769609168, 1307714652841], 'label': '387072.a.4032.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '4032.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.s1', 'subgroup_fusion': None, 'weyl_group': '36.11'}
  • id: 66249685
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1344.b1', '2016.z1', '2016.bb1', '2016.bd1'], 'contains': ['8064.bs1', '12096.db1', '16128.o1', '16128.t1', '16128.be1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 168, 'diagramx': [5107, -1, 1254, -1], 'generators': [357001369769646, 121, 1307714652846, 39916920, 1866299444340174, 356995142748840], 'label': '387072.a.4032.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '168.c1', 'old_label': '4032.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.t1', 'subgroup_fusion': None, 'weyl_group': '144.184'}
  • id: 66249686
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.s1', '1344.b1', '2016.be1'], 'contains': ['8064.bt1', '12096.db1', '16128.p1', '16128.u1', '16128.bf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5326, -1, 7502, -1], 'generators': [3377025379106208, 367927, 1307714652846, 362886, 357001369769641, 356995142748840], 'label': '387072.a.4032.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '4032.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.u1', 'subgroup_fusion': None, 'weyl_group': '144.184'}
  • id: 66249687
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.u2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.s1', '2016.u1', '2016.w1', '2016.y1'], 'contains': ['8064.bo1', '12096.db3', '16128.p1', '16128.u2', '16128.bf2', '16128.bf3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9534, -1, 9320, -1], 'generators': [357001369769646, 1307674735921, 3022645625015455, 5041, 356995142748847, 39921847], 'label': '387072.a.4032.u2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.p1', 'old_label': '4032.u2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.u2', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 66249688
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.y1', '2016.bc1'], 'contains': ['8064.e1', '8064.f3', '8064.y1', '8064.ba1', '8064.bb1', '8064.bq1', '8064.bu1', '12096.dd1', '16128.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5007, -1, 1025, -1], 'generators': [1864991769967129, 39916927, 362886, 356995142748847, 357001369769641, 1307714652841], 'label': '387072.a.4032.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '4032.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.v1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249689
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.t1', '1008.u1', '1008.v1', '2016.bc1'], 'contains': ['8064.g1', '8064.g2', '8064.s1', '8064.ba1', '8064.bb1', '8064.bv1', '12096.de1', '16128.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3503, -1, 712, -1], 'generators': [367920, 1864985502671568, 362886, 356995142748847, 357001369769641, 1307714652841], 'label': '387072.a.4032.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '4032.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.w1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249690
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '252.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.b1'], 'contains': ['504.c1', '756.b1', '1008.e1', '1008.k2', '1008.k1', '1008.l1', '1008.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [3188, -1, 2172, -1], 'generators': [1509230664374262, 6384314347487710, 1864985502671568, 4124652952095055, 121, 5167, 355693695401647, 355687468380841, 40284847, 363000], 'label': '387072.a.252.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '252.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.a1', 'subgroup_fusion': None, 'weyl_group': '1536.408540902'}
  • id: 66249691
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.bc1', '2016.d1'], 'contains': ['8064.bg1', '8064.bi1', '8064.bk2', '12096.dq1', '16128.ba1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5990, -1, 2163, -1], 'generators': [6385622021855590, 39916806, 356995142380920, 1307714284921, 1864991729687454, 357001329484806], 'label': '387072.a.4032.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.d1', 'old_label': '4032.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.x1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249692
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.z1', '2016.t1'], 'contains': ['8064.bc1', '8064.bd1', '8064.bm1', '12096.dy1', '16128.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4789, -1, 2288, -1], 'generators': [367920, 1866299443977169, 356995142385847, 1307674730880, 357001329847801, 6384314347119785], 'label': '387072.a.4032.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.t1', 'old_label': '4032.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.y1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249693
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.w1', '2016.d1'], 'contains': ['8064.bg1', '8064.bi1', '8064.bl1', '12096.dz1', '16128.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6023, -1, 2187, -1], 'generators': [6385622021855590, 39916806, 357001329852726, 356995142748840, 1864991729687454, 1307714652841], 'label': '387072.a.4032.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.d1', 'old_label': '4032.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.z1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249694
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.p1', '1008.x1', '1008.ba1'], 'contains': ['8064.bh1', '8064.bj1', '8064.bn1', '12096.dx1', '16128.bc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9571, -1, 9404, -1], 'generators': [367920, 3377019152090448, 355687428096001, 1307714289967, 355693655116807, 1869021652780816], 'label': '387072.a.4032.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.ba1', 'old_label': '4032.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.ba1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249695
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.bb1', '2016.u1'], 'contains': ['8064.bo1', '12096.dx2', '16128.x1', '16128.bd1', '16128.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5886, -1, 7470, -1], 'generators': [1867707711838103, 1307674368120, 39916920, 356995142385847, 355693695401640, 3378333013194655], 'label': '387072.a.4032.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.u1', 'old_label': '4032.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bb1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 66249696
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.r1', '2016.x1'], 'contains': ['8064.be1', '8064.be2', '8064.be3', '8064.bf1', '8064.bf2', '8064.bf3', '8064.bm1', '12096.ec1', '16128.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6595, -1, 1461, -1], 'generators': [1307714652846, 367920, 39921966, 1864985502671568, 356995102827007, 357001329484806], 'label': '387072.a.4032.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '4032.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bc1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249697
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.s1', '2016.y1'], 'contains': ['8064.bo1', '12096.ec2', '16128.u1', '16128.bf1', '16128.bf2', '16128.bf3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9514, -1, 9496, -1], 'generators': [1307674731006, 3377025339194448, 40284726, 356995142385847, 40279687, 357001369406646], 'label': '387072.a.4032.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.y1', 'old_label': '4032.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bd1', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66249698
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.s1', '2016.bf1', '2016.bg1', '2016.bk1'], 'contains': ['8064.bz1', '12096.ec3', '16128.u2', '16128.bf1', '16128.bf2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9599, -1, 9748, -1], 'generators': [5160, 39921961, 1307714652846, 3377025339194448, 356995102827000, 357001369406646], 'label': '387072.a.4032.bd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.ba1', 'old_label': '4032.bd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bd2', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 66249699
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bd3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.s1', '2016.bk1'], 'contains': ['8064.bz1', '12096.ec4', '16128.u2', '16128.bf1', '16128.bf3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9648, -1, 9784, -1], 'generators': [5160, 3377025379106208, 39921961, 1307674731006, 356995102464007, 357001329847801], 'label': '387072.a.4032.bd3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bk1', 'old_label': '4032.bd3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bd3', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66249700
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.f1', '2016.ba1', '2016.bm1'], 'contains': ['12096.em1', '16128.z1', '16128.bg1', '16128.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4806, -1, 995, -1], 'generators': [1864918092470256, 1864985502671568, 355687428096006, 355693655116800, 5046, 3768959296973088], 'label': '387072.a.4032.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.t1', 'old_label': '4032.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.be1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249701
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '252.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.a1', '126.b1', '126.c1'], 'contains': ['504.c1', '756.d1', '1008.c1', '1008.d1', '1008.j1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3272, -1, 2048, -1], 'generators': [5160, 121, 1864918092470382, 1864985502671568, 355693695401647, 355687468380846, 7, 4124652952095055, 40284847, 363000], 'label': '387072.a.252.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '252.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.b1', 'subgroup_fusion': None, 'weyl_group': '1536.408527554'}
  • id: 66249702
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1344.c1', '2016.h1', '2016.bh1', '2016.bo1'], 'contains': ['8064.bs1', '12096.en1', '16128.bi1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [4757, -1, 2229, -1], 'generators': [6028620731919665, 121, 39916920, 355687428096006, 355693655116800, 1509304341508254], 'label': '387072.a.4032.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.f1', 'old_label': '4032.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bf1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249703
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.bb1', '1344.c1', '2016.bp1'], 'contains': ['8064.bt1', '12096.en1', '16128.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5425, -1, 5967, -1], 'generators': [1867707711838103, 367927, 355693655116807, 362886, 355687428096006, 3377019152085528], 'label': '387072.a.4032.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.e1', 'old_label': '4032.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bg1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249704
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.k1', '2016.s1', '2016.z1', '2016.bh1', '2016.bi1', '2016.bj1', '2016.bn1'], 'contains': ['8064.bs1', '12096.es1', '16128.q1', '16128.q2', '16128.y1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5129, -1, 1951, -1], 'generators': [121, 1510611976322335, 39916920, 356995102827007, 357001329847801, 1307674731001], 'label': '387072.a.4032.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '4032.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bh1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249705
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.j1', '2016.j2', '2016.z1', '2016.bb1', '2016.bn1', '2016.bs1'], 'contains': ['8064.bs1', '12096.et1', '16128.v1', '16128.z1', '16128.bk1', '16128.bk2', '16128.bk3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5065, -1, 1305, -1], 'generators': [121, 1866293177034654, 39916920, 356995102464007, 357001329484801, 1307674368001], 'label': '387072.a.4032.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '4032.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bi1', 'subgroup_fusion': None, 'weyl_group': '48.50'}
  • id: 66249706
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.r1', '1344.d1', '2016.bc1'], 'contains': ['8064.br1', '8064.bu1', '8064.bv1', '12096.ew1', '16128.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5081, -1, 887, -1], 'generators': [1307674368006, 367920, 1864985502671568, 362886, 356995102464000, 357001329484806], 'label': '387072.a.4032.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '4032.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bj1', 'subgroup_fusion': None, 'weyl_group': '36.11'}
  • id: 66249707
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1344.d1', '2016.k1', '2016.bd1', '2016.bo1', '2016.bq1', '2016.bs1'], 'contains': ['8064.bs1', '12096.ew1', '16128.s1', '16128.s2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5022, -1, 1872, -1], 'generators': [121, 355687428096001, 39916927, 355693655116800, 1864985502666529, 7], 'label': '387072.a.4032.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '4032.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bk1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249708
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.s1', '1344.d1', '2016.be1', '2016.bp1', '2016.br1'], 'contains': ['8064.bt1', '12096.ew1', '16128.u1', '16128.u2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5413, -1, 7534, -1], 'generators': [3022639358077855, 367920, 362881, 355687428096001, 355693655116800, 7], 'label': '387072.a.4032.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '4032.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bl1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66249709
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.p1', '1008.ba1'], 'contains': ['8064.bw1', '8064.bx1', '8064.by1', '12096.ex1', '16128.bc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9697, -1, 9835, -1], 'generators': [40279801, 1307674373166, 3377025379111368, 356995102464007, 1867707751759943, 357001329847801], 'label': '387072.a.4032.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.bm1', 'old_label': '4032.bm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bm1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249710
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4032.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1008.bb1', '2016.bf1'], 'contains': ['8064.bz1', '12096.ex2', '16128.bd1', '16128.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9666, -1, 9568, -1], 'generators': [1307674373161, 1513334184768142, 40279806, 356995142743680, 357001329847801, 3377019112168608], 'label': '387072.a.4032.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bf1', 'old_label': '4032.bn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4032.bn1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 66249711
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4608.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['576.a1', '2304.a1'], 'contains': ['9216.a1', '9216.b1', '13824.a1', '32256.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [3415, -1, 189, -1], 'generators': [4523466935663998, 1864985503034449, 355693695401647, 1307674373040], 'label': '387072.a.4608.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '4608.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.a1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 66249712
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '252.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.c1'], 'contains': ['504.c1', '756.f1', '1008.t1', '1008.u1', '1008.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [3291, -1, 1134, -1], 'generators': [1864985502671568, 4124652952095055, 357001369769646, 1866232034133697, 1307674368001, 356995142748840, 121, 5167, 40284847, 363000], 'label': '387072.a.252.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '252.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.c1', 'subgroup_fusion': None, 'weyl_group': '768.1083695'}
  • id: 66249713
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4608.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '2304.a1'], 'contains': ['9216.b1', '9216.c1', '13824.b1', '32256.i1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [4238, -1, 155, -1], 'generators': [756036967363912, 2279262534030430, 6031369810384703, 5046], 'label': '387072.a.4608.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '4608.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.b1', 'subgroup_fusion': None, 'weyl_group': '84.7'}
  • id: 66249714
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '4608.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1', '2304.a1'], 'contains': ['9216.b1', '13824.c1', '32256.j1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [4247, -1, 216, -1], 'generators': [2279262534388270, 6031369810384703, 1111730662402559, 5046], 'label': '387072.a.4608.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '4608.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.c1', 'subgroup_fusion': None, 'weyl_group': '84.7'}
  • id: 66249715
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '5376.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1344.b1', '2688.a1', '2688.b1', '2688.c1'], 'contains': ['10752.a1', '16128.n1', '16128.o1', '16128.p1', '21504.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5170, -1, 1011, -1], 'generators': [357001369769646, 355687428096001, 5041, 6393931212977977, 8375731269120], 'label': '387072.a.5376.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '5376.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5376.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66249716
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '5376.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1344.b1', '1344.d1', '2688.c1'], 'contains': ['10752.a1', '16128.r1', '16128.s1', '16128.t1', '16128.u1', '21504.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [5212, -1, 988, -1], 'generators': [8375691352321, 6038243744965056, 357001329852721, 355687428096001, 5041], 'label': '387072.a.5376.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.c1', 'old_label': '5376.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5376.b1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249717
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '5376.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.c1', '2688.a1'], 'contains': ['10752.a1', '16128.w1', '16128.x1', '21504.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [5225, -1, 1225, -1], 'generators': [6035513869768025, 6036936070234302, 364056932349366, 355687428096001, 5041], 'label': '387072.a.5376.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.a1', 'old_label': '5376.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5376.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66249718
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '5376.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['336.b1', '1344.a1', '1792.a1'], 'contains': ['10752.b1', '10752.c1', '10752.d1', '16128.bb1', '16128.bc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 5376, 'diagramx': [9915, -1, 1316, -1], 'generators': [357001329852721, 6391201298226905, 8369464694406, 6393937399724137, 355687468017967], 'label': '387072.a.5376.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5376.d1', 'old_label': '5376.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5376.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 66249720
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.a2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.d6', '3024.e3', '3024.q1'], 'contains': ['12096.b3', '12096.b4', '12096.h1', '12096.h2', '12096.j2', '12096.m2', '12096.q2', '12096.bv4', '12096.bv5', '12096.bv6', '12096.bw2', '12096.cd1', '12096.cd2', '12096.cd3', '12096.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1279, -1, 3404, -1], 'generators': [121, 357001329852726, 1307674373166, 356995102464000, 753260761981296, 4894618717940423], 'label': '387072.a.6048.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.a2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249721
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.d6', '3024.e3', '3024.q1'], 'contains': ['12096.b1', '12096.b2', '12096.h1', '12096.h2', '12096.j1', '12096.m1', '12096.q1', '12096.bv1', '12096.bv2', '12096.bv3', '12096.bw1', '12096.cd1', '12096.cd2', '12096.cd3', '12096.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1264, -1, 3368, -1], 'generators': [121, 1108948190072263, 1307674735921, 357001329852726, 4895932619329216, 356995102464000], 'label': '387072.a.6048.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.a2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.a1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249722
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.q1'], 'contains': ['12096.c1', '12096.c2', '12096.e1', '12096.h1', '12096.j3', '12096.j4', '12096.m3', '12096.bv4', '12096.bv1', '12096.bw3', '12096.bx1', '12096.bx2', '12096.cd1', '12096.cd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [812, -1, 3100, -1], 'generators': [1108954417093057, 4540245191233217, 356995102831920, 368041, 1307674368001, 357001329484806], 'label': '387072.a.6048.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.b1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249723
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '252.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1', '63.a1', '84.a1'], 'contains': ['504.d1', '504.e1', '504.f1', '504.h1', '504.j1', '504.k1', '504.l1', '756.g1', '1008.o1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4612, -1, 2133, -1], 'generators': [6385615834383665, 1864985502671568, 357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7, 363000], 'label': '387072.a.252.d1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '252.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.d1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66249724
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.b2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.q1'], 'contains': ['12096.b3', '12096.b1', '12096.d1', '12096.i1', '12096.j3', '12096.j4', '12096.m3', '12096.bv5', '12096.bv2', '12096.bw4', '12096.bx3', '12096.bx4', '12096.cd1', '12096.cd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [786, -1, 3124, -1], 'generators': [4894624944961217, 1108954417093057, 356995102831920, 368041, 1307674368001, 357001329484806], 'label': '387072.a.6048.b2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.b2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.b2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249725
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.c2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.d6', '3024.e3', '3024.s1'], 'contains': ['12096.b1', '12096.b2', '12096.e1', '12096.e2', '12096.j2', '12096.l2', '12096.q2', '12096.bv6', '12096.bv1', '12096.bv2', '12096.bz2', '12096.bz1', '12096.bz3', '12096.ca2', '12096.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1318, -1, 3615, -1], 'generators': [121, 357001329852726, 1307674373166, 4895932619329216, 356995102464000, 753260761981296], 'label': '387072.a.6048.c2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.c2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249726
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.d6', '3024.e3', '3024.s1'], 'contains': ['12096.b3', '12096.b4', '12096.e1', '12096.e2', '12096.j1', '12096.l1', '12096.q1', '12096.bv4', '12096.bv5', '12096.bv3', '12096.bz2', '12096.bz1', '12096.bz3', '12096.ca1', '12096.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1300, -1, 3649, -1], 'generators': [121, 1108948190072263, 1307674735921, 357001329852726, 4540245191228183, 356995102464000], 'label': '387072.a.6048.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.c2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.c1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249727
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.f1', '3024.q1'], 'contains': ['12096.c1', '12096.d2', '12096.f1', '12096.i1', '12096.j1', '12096.k1', '12096.m1', '12096.bv6', '12096.bw2', '12096.bw3', '12096.bw4', '12096.bx1', '12096.bx3', '12096.bx5', '12096.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [513, -1, 2930, -1], 'generators': [121, 1307674735921, 357001329852726, 753260761976383, 4895932619329216, 356995102464000], 'label': '387072.a.6048.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.d1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249728
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.d2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.f1', '3024.q1'], 'contains': ['12096.c2', '12096.d2', '12096.f2', '12096.i1', '12096.j2', '12096.k2', '12096.m2', '12096.bv3', '12096.bw1', '12096.bw3', '12096.bw4', '12096.bx2', '12096.bx4', '12096.bx5', '12096.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [527, -1, 2895, -1], 'generators': [121, 357001329852726, 1307674373166, 4895932619329216, 753260761613376, 356995102464000], 'label': '387072.a.6048.d2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.d2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.d2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249729
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.s1'], 'contains': ['12096.e2', '12096.f1', '12096.f2', '12096.h2', '12096.j3', '12096.j4', '12096.l3', '12096.bv4', '12096.bv1', '12096.bx3', '12096.bx4', '12096.bz2', '12096.bz1', '12096.ca3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [944, -1, 3461, -1], 'generators': [1108954417093057, 356995102831920, 4540245191596103, 368041, 1307674368001, 357001329484806], 'label': '387072.a.6048.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.e1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249730
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.e2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.s1'], 'contains': ['12096.b4', '12096.b2', '12096.d2', '12096.g1', '12096.j3', '12096.j4', '12096.l3', '12096.bv5', '12096.bv2', '12096.bx1', '12096.bx2', '12096.bz2', '12096.bz1', '12096.ca4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1101, -1, 3490, -1], 'generators': [1108954417093057, 356995102831920, 4894624945324103, 368041, 1307674368001, 357001329484806], 'label': '387072.a.6048.e2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.e2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.e2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249731
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.f1', '3024.s1'], 'contains': ['12096.c2', '12096.d1', '12096.f2', '12096.g1', '12096.j1', '12096.k1', '12096.l1', '12096.bv6', '12096.bx2', '12096.bx4', '12096.bx5', '12096.ca2', '12096.ca3', '12096.ca4', '12096.cc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [649, -1, 2968, -1], 'generators': [121, 1307674735921, 357001329852726, 753260761976383, 4540245191228183, 356995102464000], 'label': '387072.a.6048.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.f1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249732
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.f2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.f1', '3024.s1'], 'contains': ['12096.c1', '12096.d1', '12096.f1', '12096.g1', '12096.j2', '12096.k2', '12096.l2', '12096.bv3', '12096.bx1', '12096.bx3', '12096.bx5', '12096.ca1', '12096.ca3', '12096.ca4', '12096.cc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [550, -1, 2954, -1], 'generators': [121, 357001329852726, 1307674373166, 753260761613376, 356995102464000, 4894618717940423], 'label': '387072.a.6048.f2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.f2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.f2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249733
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.g2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u2', '3024.bp1', '3024.bq1'], 'contains': ['12096.a2', '12096.a1', '12096.a4', '12096.k1', '12096.n2', '12096.r1', '12096.s2', '12096.t2', '12096.u1', '12096.x2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1788, -1, 5065, -1], 'generators': [121, 356995102464000, 357001369406641, 754574702919103, 1307714289846, 40279687], 'label': '387072.a.6048.g2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.g2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249734
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '252.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['84.a1', '84.b1'], 'contains': ['504.g1', '504.i1', '504.m1', '756.g1', '1008.p1', '1008.x1', '1008.ba1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5902, -1, 8097, -1], 'generators': [1867707711843263, 3022645625015455, 357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7, 363000], 'label': '387072.a.252.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '252.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252.e1', 'subgroup_fusion': None, 'weyl_group': '2304.fd'}
  • id: 66249735
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u1', '3024.bp2', '3024.bq1'], 'contains': ['12096.a2', '12096.a1', '12096.a3', '12096.k2', '12096.n1', '12096.r1', '12096.s1', '12096.t1', '12096.u1', '12096.x1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1770, -1, 5022, -1], 'generators': [121, 754574702919103, 357001369406641, 40279687, 356995102464000, 1307714652841], 'label': '387072.a.6048.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.g2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.g1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249736
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.v1', '3024.bp1', '3024.bp2'], 'contains': ['12096.l3', '12096.p1', '12096.s2', '12096.s1', '12096.w2', '12096.w1', '12096.x3', '12096.ex1', '12096.ex2', '12096.ex3', '12096.ex4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6122, -1, 8714, -1], 'generators': [1307714652846, 754574702919096, 362886, 356995102827007, 357001329484806, 5167], 'label': '387072.a.6048.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.h1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249737
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.w1', '3024.bp1', '3024.bp2'], 'contains': ['12096.m3', '12096.o1', '12096.t2', '12096.t1', '12096.v2', '12096.v1', '12096.x3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2405, -1, 5413, -1], 'generators': [1307714652846, 362886, 356995102827007, 1108948190072382, 357001329484806, 5167], 'label': '387072.a.6048.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.i1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249738
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.j2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u2', '3024.bp1', '3024.br1'], 'contains': ['12096.n2', '12096.q1', '12096.v2', '12096.v3', '12096.w2', '12096.w3', '12096.x2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2799, -1, 6064, -1], 'generators': [121, 1307714289846, 1110262131014983, 357001369406641, 40279687, 356995102464000], 'label': '387072.a.6048.j2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.j2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249739
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u1', '3024.bp2', '3024.br1'], 'contains': ['12096.n1', '12096.q2', '12096.v1', '12096.v3', '12096.w1', '12096.w3', '12096.x1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2791, -1, 6045, -1], 'generators': [121, 357001369406641, 40279687, 356995102464000, 753260761981296, 1307714652841], 'label': '387072.a.6048.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.j2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.j1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249740
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.q1'], 'contains': ['12096.b4', '12096.b2', '12096.c1', '12096.c2', '12096.h2', '12096.i1', '12096.y1', '12096.bb1', '12096.bb2', '12096.bw3', '12096.bw4', '12096.cd1', '12096.cd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [799, -1, 3154, -1], 'generators': [4894618717935377, 1108948190077416, 5046, 357001329847801, 356995102469167, 1307674368001], 'label': '387072.a.6048.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.k1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249741
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.d6', '3024.q1', '3024.s1'], 'contains': ['12096.b3', '12096.b4', '12096.b1', '12096.b2', '12096.e1', '12096.e2', '12096.h1', '12096.h2', '12096.y2', '12096.y3', '12096.bg1', '12096.bv6', '12096.bv3', '12096.bx5', '12096.ce1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1363, -1, 3433, -1], 'generators': [1307674373166, 753260761976383, 4538937516860182, 5046, 357001329847801, 356995102469167], 'label': '387072.a.6048.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.l1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249742
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.a1', '3024.f1', '3024.q1'], 'contains': ['12096.c1', '12096.c2', '12096.d1', '12096.i1', '12096.y2', '12096.y3', '12096.bc1', '12096.bw2', '12096.bw1', '12096.by1', '12096.cd3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [657, -1, 2844, -1], 'generators': [4894618717935377, 1307674373166, 753260761976383, 5046, 357001329847801, 356995102469167], 'label': '387072.a.6048.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '6048.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.m1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249743
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.a1', '3024.a1', '3024.b1', '3024.e1'], 'contains': ['12096.y2', '12096.bv7', '12096.cb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [916, -1, 2512, -1], 'generators': [355687428101040, 4538937517223182, 357001329489840, 1108948190077302, 7, 363000], 'label': '387072.a.6048.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '6048.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.n1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249744
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.a1', '3024.b1', '3024.e2'], 'contains': ['12096.y2', '12096.y3', '12096.bv8', '12096.bv10', '12096.bv9', '12096.cb2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1445, -1, 2760, -1], 'generators': [356995102831927, 357001329847806, 4894618717935382, 1307674735921, 5041, 1108948189714423], 'label': '387072.a.6048.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '6048.n2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.n2', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66249745
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '18.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1'], 'contains': ['54.a1', '126.b1', '144.a1', '144.b1'], 'core': '387072.a1', 'coset_action_label': '18T890', 'count': 9, 'diagramx': [3174, -1, 2143, -1], 'generators': [6028626919391590, 1864985502671568, 7, 355687468380846, 363000, 355693695401647, 4124652952095055, 5160, 1864918092470382, 121, 40284847, 4877840422812233], 'label': '387072.a.18.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66249746
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['768.a1', '2304.c1', '7168.a1', '9216.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 256, 'diagramx': [4619, -1, 22, -1], 'generators': [6035460007466166, 3026857224004248], 'label': '387072.a.256.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '256.a1', 'old_label': '256.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1', 'subgroup_fusion': None, 'weyl_group': '1512.779'}
  • id: 66249747
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.n3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.q1', '3024.s1'], 'contains': ['12096.b1', '12096.b2', '12096.c1', '12096.d1', '12096.d2', '12096.e2', '12096.f1', '12096.h1', '12096.y1', '12096.z1', '12096.bb1', '12096.bv4', '12096.bv5', '12096.bx2', '12096.bx4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [959, -1, 3189, -1], 'generators': [4540238964207377, 1108948190077416, 5046, 357001329847801, 356995102469167, 1307674368001], 'label': '387072.a.6048.n3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.n3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.n3', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249748
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.n4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.q1', '3024.s1'], 'contains': ['12096.b3', '12096.b4', '12096.c2', '12096.d1', '12096.d2', '12096.e2', '12096.f2', '12096.h1', '12096.y1', '12096.z2', '12096.bb2', '12096.bv1', '12096.bv2', '12096.bx1', '12096.bx3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [993, -1, 3309, -1], 'generators': [4894624944961217, 1108948190077416, 5046, 357001329847801, 356995102469167, 1307674368001], 'label': '387072.a.6048.n4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.n4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.n4', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249749
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.s1'], 'contains': ['12096.b3', '12096.b1', '12096.e1', '12096.f1', '12096.f2', '12096.g1', '12096.y1', '12096.z1', '12096.z2', '12096.bz2', '12096.bz1', '12096.ca3', '12096.ca4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1132, -1, 3673, -1], 'generators': [4540245191233217, 1108948190077416, 5046, 357001329847801, 356995102469167, 1307674368001], 'label': '387072.a.6048.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.o1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249750
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.b1', '3024.f1', '3024.s1'], 'contains': ['12096.d2', '12096.f1', '12096.f2', '12096.g1', '12096.y2', '12096.y3', '12096.ba1', '12096.bz3', '12096.ca2', '12096.ca1', '12096.cc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1059, -1, 2996, -1], 'generators': [4895932619324182, 1307674373166, 753260761976383, 5046, 357001329847801, 356995102469167], 'label': '387072.a.6048.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '6048.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.p1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249751
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.q2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c4', '3024.c3', '3024.c7', '3024.c8', '3024.d2', '3024.d5', '3024.d4', '3024.d6', '3024.e1', '3024.e2', '3024.f1', '3024.y3', '3024.z1'], 'contains': ['12096.j2', '12096.l1', '12096.m1', '12096.y2', '12096.bh1', '12096.cf2', '12096.cg1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2003, -1, 3898, -1], 'generators': [356995102831920, 1307674735921, 368041, 357001329847801, 363007, 1108948190072382], 'label': '387072.a.6048.q2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.q2', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 66249752
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c2', '3024.c1', '3024.c6', '3024.c5', '3024.d2', '3024.d4', '3024.d3', '3024.d6', '3024.e2', '3024.f1', '3024.y1', '3024.y3', '3024.z1'], 'contains': ['12096.j1', '12096.l2', '12096.m2', '12096.y3', '12096.bh1', '12096.cf1', '12096.cg1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2055, -1, 4039, -1], 'generators': [1307674735921, 5041, 357001329484801, 363007, 1108948190072377, 356995102469160], 'label': '387072.a.6048.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.q2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.q1', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 66249753
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.q3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.y2', '3024.z1'], 'contains': ['12096.j3', '12096.j4', '12096.l2', '12096.l1', '12096.m2', '12096.m1', '12096.y1', '12096.bh3', '12096.cf3', '12096.cg2', '12096.ch2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2132, -1, 4081, -1], 'generators': [356995102831920, 368041, 357001329847801, 1307674368001, 363007, 1108948190072382], 'label': '387072.a.6048.q3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.d1', 'old_label': '6048.q3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.q3', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249754
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.q4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.z1', '3024.bp1'], 'contains': ['12096.j2', '12096.j3', '12096.k1', '12096.l3', '12096.m3', '12096.q1', '12096.z2', '12096.bb1', '12096.bh3', '12096.cf1', '12096.cf3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1555, -1, 4124, -1], 'generators': [5160, 362886, 357001329484801, 356995102464000, 1108948190072256, 1307674731001], 'label': '387072.a.6048.q4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.q4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.q4', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249755
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.q5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.z1', '3024.bp2'], 'contains': ['12096.j1', '12096.j4', '12096.k2', '12096.l3', '12096.m3', '12096.q2', '12096.z1', '12096.bb2', '12096.bh3', '12096.cf2', '12096.cf3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1591, -1, 4167, -1], 'generators': [362886, 356995102827007, 1307674368001, 1108948190072382, 357001329484806, 5167], 'label': '387072.a.6048.q5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.q5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.q5', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249756
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.b1', '3024.d1', '3024.f1', '3024.z1', '3024.bq1'], 'contains': ['12096.k1', '12096.k2', '12096.ba1', '12096.bc1', '12096.bh1', '12096.cg1', '12096.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2074, -1, 3717, -1], 'generators': [121, 1307674735921, 1108948190077416, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '6048.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.r1', 'subgroup_fusion': None, 'weyl_group': '384.5833'}
  • id: 66249757
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '288.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '144.c1', '144.d1'], 'contains': ['864.a1', '2016.bs1', '2304.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4665, -1, 1707, -1], 'generators': [121, 4877840422812233, 355687428096001, 1864991769967129, 355693655116800, 40279687, 7, 363000], 'label': '387072.a.288.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '288.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.a1', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66249758
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.c1', '3024.ba1', '3024.bq1', '3024.br1'], 'contains': ['12096.n2', '12096.n1', '12096.be1', '12096.bf1', '12096.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [2729, -1, 5526, -1], 'generators': [121, 1307674735921, 754574702919096, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.s1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249759
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.s2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.g1', '3024.ba1', '3024.bp1'], 'contains': ['12096.n2', '12096.o1', '12096.p1', '12096.bd1', '12096.bh3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3270, -1, 6581, -1], 'generators': [5160, 754574702919096, 362886, 357001329484801, 356995102464000, 1307674731001], 'label': '387072.a.6048.s2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.e1', 'old_label': '6048.s2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.s2', 'subgroup_fusion': None, 'weyl_group': '32.22'}
  • id: 66249760
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.s3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.g1', '3024.ba1', '3024.bp2'], 'contains': ['12096.n1', '12096.o1', '12096.p1', '12096.bd2', '12096.bh3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3324, -1, 6601, -1], 'generators': [754574702919096, 362886, 356995102827007, 1307674368001, 357001329484806, 5167], 'label': '387072.a.6048.s3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.e1', 'old_label': '6048.s3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.s3', 'subgroup_fusion': None, 'weyl_group': '32.22'}
  • id: 66249761
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.t3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c4', '3024.c2', '3024.c7', '3024.c5', '3024.d6', '3024.h3', '3024.z1', '3024.bb1', '3024.br1'], 'contains': ['12096.q2', '12096.q1', '12096.bg1', '12096.bh1', '12096.ch1', '12096.ch2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 189, 'diagramx': [2416, -1, 4337, -1], 'generators': [121, 1307674735921, 356995102464000, 753260761981296, 357001329489961, 363007], 'label': '387072.a.6048.t3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '189.a1', 'old_label': '6048.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.t3', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 66249762
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.t2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c4', '3024.c1', '3024.c7', '3024.c8', '3024.c6', '3024.d1', '3024.d2', '3024.d4', '3024.h2', '3024.h3', '3024.y1', '3024.y3', '3024.bb1'], 'contains': ['12096.q4', '12096.bh1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2436, -1, 4217, -1], 'generators': [1307674735921, 5041, 357001329484801, 363007, 1108948190072382, 356995102469160], 'label': '387072.a.6048.t2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.t2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.t2', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 66249763
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c3', '3024.c2', '3024.c1', '3024.c6', '3024.c5', '3024.d1', '3024.d5', '3024.d3', '3024.h1', '3024.h2', '3024.h3', '3024.y3', '3024.bb1'], 'contains': ['12096.q3', '12096.bh1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2617, -1, 4198, -1], 'generators': [356995102831920, 1307674735921, 368041, 357001329847801, 1108948190077423, 363007], 'label': '387072.a.6048.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.t3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.t1', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 66249764
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.t4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.g1', '3024.y2', '3024.bb1'], 'contains': ['12096.q4', '12096.q3', '12096.bh3', '12096.ch2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2901, -1, 5765, -1], 'generators': [356995102831920, 368041, 357001329847801, 1108948190077423, 1307674368001, 363007], 'label': '387072.a.6048.t4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.c1', 'old_label': '6048.t4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.t4', 'subgroup_fusion': None, 'weyl_group': '32.22'}
  • id: 66249948
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.h3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bb1', '4032.f2', '4032.n2', '4032.n3'], 'contains': ['16128.i2', '16128.be1', '16128.bk3', '24192.t3', '32256.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6415, -1, 1403, -1], 'generators': [1866299444335135, 1307714647686, 39921961, 357001329852726, 356995142748840], 'label': '387072.a.8064.h3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.h3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.h3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249765
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.u2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u2', '3024.bp2', '3024.bs1'], 'contains': ['12096.r1', '12096.s2', '12096.v2', '12096.w3', '12096.z1', '12096.bd2', '12096.bi4', '12096.df3', '12096.df4', '12096.dp2', '12096.dx3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3713, -1, 6805, -1], 'generators': [121, 357001369406641, 40279687, 753260761613376, 356995102827007, 1307674731001], 'label': '387072.a.6048.u2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.u2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249766
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u1', '3024.bp1', '3024.bs1'], 'contains': ['12096.r1', '12096.s1', '12096.v1', '12096.w3', '12096.z2', '12096.bd1', '12096.bi3', '12096.df1', '12096.df2', '12096.dp1', '12096.dx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3575, -1, 6677, -1], 'generators': [5160, 754574702919096, 362886, 357001329484801, 356995102464000, 1307714289841], 'label': '387072.a.6048.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.u2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.u1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249767
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.d1', '3024.v1', '3024.bq1', '3024.bs1'], 'contains': ['12096.s2', '12096.s1', '12096.ba1', '12096.bf1', '12096.bi1', '12096.dg1', '12096.dg2', '12096.dq1', '12096.dz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5350, -1, 7942, -1], 'generators': [121, 1307714652846, 754574702919096, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.v1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249768
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '336.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.a1', '168.b1', '168.c1'], 'contains': ['672.b1', '1008.q1', '1008.r1', '1008.s1', '1344.b1', '1344.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5216, -1, 1942, -1], 'generators': [9683365720327, 6036942337539703, 5160, 1307674731001, 357001369406646, 39921847, 356995142748847, 121, 7], 'label': '387072.a.336.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '336.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.a1', 'subgroup_fusion': None, 'weyl_group': '1152.157858'}
  • id: 66249769
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.w2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u2', '3024.bp2', '3024.bt1'], 'contains': ['12096.t2', '12096.u1', '12096.v3', '12096.w2', '12096.bb2', '12096.bd2', '12096.bi4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3250, -1, 6025, -1], 'generators': [121, 754574702919103, 357001369406641, 40279687, 356995102827007, 1307674731001], 'label': '387072.a.6048.w2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.w2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249770
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u1', '3024.bp1', '3024.bt1'], 'contains': ['12096.t1', '12096.u1', '12096.v3', '12096.w1', '12096.bb1', '12096.bd1', '12096.bi3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3116, -1, 5909, -1], 'generators': [5160, 362886, 357001329484801, 356995102464000, 1108948190072256, 1307714289841], 'label': '387072.a.6048.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.w2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.w1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249771
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.e1', '3024.w1', '3024.bq1', '3024.bt1'], 'contains': ['12096.t2', '12096.t1', '12096.bc1', '12096.be1', '12096.bi1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [2273, -1, 4744, -1], 'generators': [121, 1307714652846, 1108948190077416, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.x1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249772
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.w1', '3024.x1', '3024.br1', '3024.bs1', '3024.bu1'], 'contains': ['12096.v2', '12096.v1', '12096.be1', '12096.bg1', '12096.bi1', '12096.dh1', '12096.dh2', '12096.dr1', '12096.ea1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2913, -1, 6137, -1], 'generators': [754574702924016, 121, 1307714652846, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.y1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249773
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.v1', '3024.x1', '3024.br1', '3024.bt1', '3024.bv1'], 'contains': ['12096.w2', '12096.w1', '12096.bf1', '12096.bg1', '12096.bi1', '12096.di1', '12096.di2', '12096.di3', '12096.di4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6075, -1, 8597, -1], 'generators': [121, 1307714652846, 754574702919103, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.z1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249774
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i2', '3024.i1', '3024.j1', '3024.q1', '3024.s1', '3024.by1'], 'contains': ['12096.b3', '12096.b1', '12096.c1', '12096.c2', '12096.d2', '12096.h2', '12096.bj1', '12096.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1249, -1, 3580, -1], 'generators': [1108954417093057, 121, 4540238964575297, 357001329852726, 356995102464000, 1307674368001], 'label': '387072.a.6048.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ba1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249775
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i2', '3024.k1', '3024.m1', '3024.o2', '3024.p1', '3024.r1', '3024.bz1'], 'contains': ['12096.bj1', '12096.bl1', '12096.bm1', '12096.dj2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2220, -1, 4910, -1], 'generators': [4538931330119182, 121, 357001329852726, 1108954416735217, 356995102464000, 1307674368001], 'label': '387072.a.6048.bb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bb2', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249776
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i1', '3024.k2', '3024.m1', '3024.o1', '3024.p2', '3024.r1', '3024.bz1'], 'contains': ['12096.bj1', '12096.bl1', '12096.bm1', '12096.dj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2207, -1, 4942, -1], 'generators': [121, 4538937557139976, 357001329852726, 754574703287023, 356995102464000, 1307674368001], 'label': '387072.a.6048.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bb2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bb1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249777
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.j1', '3024.k2', '3024.k1', '3024.p2', '3024.p1', '3024.r1', '3024.ca1'], 'contains': ['12096.bj1', '12096.bl1', '12096.el1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1710, -1, 4599, -1], 'generators': [121, 357001329852726, 4540245191596103, 754574703287023, 356995102464000, 1307674368001], 'label': '387072.a.6048.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bc1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249778
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.l1', '3024.m1', '3024.o2', '3024.o1', '3024.r1', '3024.by1'], 'contains': ['12096.bj1', '12096.bm1', '12096.dk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6190, -1, 8042, -1], 'generators': [4538931330119182, 121, 357001329852726, 754574702919103, 356995102464000, 1307674368001], 'label': '387072.a.6048.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bd1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249779
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '336.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['84.a1'], 'contains': ['672.a1', '672.e1', '672.f1', '1008.w1', '1008.x1', '5376.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5273, -1, 2238, -1], 'generators': [6034199928820150, 365364607080367, 6036942337539703, 1307674368006, 357001369769641, 356995142748847, 126, 40279680, 363000], 'label': '387072.a.336.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '336.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.b1', 'subgroup_fusion': None, 'weyl_group': '576.8656'}
  • id: 66249780
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.k2', '3024.k1', '3024.l1', '3024.q1', '3024.s1', '3024.bz1'], 'contains': ['12096.b4', '12096.b2', '12096.d1', '12096.e1', '12096.f1', '12096.f2', '12096.bj1', '12096.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1237, -1, 3692, -1], 'generators': [121, 357001329852726, 1108954416735217, 4540245191596103, 356995102464000, 1307674368001], 'label': '387072.a.6048.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.be1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249781
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.f1', '3024.m1', '3024.s1', '3024.ca1'], 'contains': ['12096.e2', '12096.g1', '12096.bj1', '12096.dl1', '12096.em1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [1887, -1, 3841, -1], 'generators': [121, 4540238964575297, 357001329852726, 1108954416735217, 356995102464000, 1307674368001], 'label': '387072.a.6048.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.c1', 'old_label': '6048.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bf1', 'subgroup_fusion': None, 'weyl_group': '384.18221'}
  • id: 66249782
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i2', '3024.k1', '3024.n1', '3024.o1', '3024.p2', '3024.t1', '3024.by1'], 'contains': ['12096.bk1', '12096.bl1', '12096.bm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1722, -1, 4694, -1], 'generators': [4538931330119182, 121, 357001329852726, 754574703287023, 356995102464000, 1307674368001], 'label': '387072.a.6048.bg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bg2', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249783
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i1', '3024.k2', '3024.n1', '3024.o2', '3024.p1', '3024.t1', '3024.by1'], 'contains': ['12096.bk1', '12096.bl1', '12096.bm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1698, -1, 4670, -1], 'generators': [1108954417093057, 121, 4538937557139976, 357001329852726, 356995102464000, 1307674368001], 'label': '387072.a.6048.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bg1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249784
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.j1', '3024.n1', '3024.p2', '3024.p1', '3024.t1', '3024.bz1'], 'contains': ['12096.bk1', '12096.bl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1523, -1, 4570, -1], 'generators': [121, 357001329852726, 754574703287023, 356995102464000, 1307674368001, 4894618717940423], 'label': '387072.a.6048.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bh1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249785
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i2', '3024.i1', '3024.l1', '3024.o2', '3024.o1', '3024.t1', '3024.cb1'], 'contains': ['12096.bk1', '12096.bm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3241, -1, 5372, -1], 'generators': [1108954417093057, 4538931330119182, 121, 357001329852726, 356995102464000, 1307674368001], 'label': '387072.a.6048.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bi1', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249786
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.g1', '3024.n1', '3024.q1', '3024.cb1'], 'contains': ['12096.h1', '12096.i1', '12096.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [1513, -1, 3282, -1], 'generators': [4894624944961217, 1108954417093057, 121, 357001329852726, 356995102464000, 1307674368001], 'label': '387072.a.6048.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.c1', 'old_label': '6048.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bj1', 'subgroup_fusion': None, 'weyl_group': '384.18221'}
  • id: 66249787
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.h1', '3024.y1', '3024.y2', '3024.bc1'], 'contains': ['12096.l2', '12096.q4', '12096.bn1', '12096.dm1', '12096.en1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3034, -1, 5698, -1], 'generators': [5041, 357001329484801, 1307674368001, 363007, 1108948190072382, 356995102469160], 'label': '387072.a.6048.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.d1', 'old_label': '6048.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bk1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249788
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.y2', '3024.y3', '3024.bc1'], 'contains': ['12096.l2', '12096.l1', '12096.q4', '12096.q3', '12096.bn2', '12096.dm2', '12096.dm4', '12096.dm3', '12096.en2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3002, -1, 5878, -1], 'generators': [1307674373161, 5041, 357001329484801, 363007, 1108948190072382, 356995102469160], 'label': '387072.a.6048.bk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.m1', 'old_label': '6048.bk2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bk2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249789
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.i1', '3024.y1', '3024.y2', '3024.bd1'], 'contains': ['12096.m2', '12096.q4', '12096.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2891, -1, 5350, -1], 'generators': [5041, 357001329484801, 1307674368001, 363007, 1108948190072377, 356995102469160], 'label': '387072.a.6048.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.d1', 'old_label': '6048.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bl1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249790
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '336.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['112.a1', '168.a1'], 'contains': ['672.b1', '1008.z1', '1008.bb1', '1344.c1', '5376.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 168, 'diagramx': [5515, -1, 2318, -1], 'generators': [6035513869768025, 8375691715200, 1307674731006, 6036942337539703, 126, 39921847, 356995142748840, 357001369406646, 5167], 'label': '387072.a.336.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '168.a1', 'old_label': '336.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.c1', 'subgroup_fusion': None, 'weyl_group': '1152.157858'}
  • id: 66249791
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.y2', '3024.y3', '3024.bd1'], 'contains': ['12096.m2', '12096.m1', '12096.q4', '12096.q3', '12096.bn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2762, -1, 5394, -1], 'generators': [1307674373161, 5041, 357001329484801, 363007, 1108948190072377, 356995102469160], 'label': '387072.a.6048.bl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.m1', 'old_label': '6048.bl2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bl2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249792
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.j1', '3024.k2', '3024.k1', '3024.m1', '3024.u2', '3024.u1', '3024.cd1'], 'contains': ['12096.r1', '12096.v3', '12096.bj1', '12096.bl1', '12096.bo1', '12096.dn2', '12096.dn1', '12096.ek1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2165, -1, 5135, -1], 'generators': [121, 1108948190072263, 357001369406641, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.6048.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bm1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249793
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i2', '3024.k2', '3024.l1', '3024.m1', '3024.u1', '3024.v1', '3024.cc2'], 'contains': ['12096.s1', '12096.w1', '12096.bj1', '12096.bm1', '12096.bo1', '12096.do4', '12096.do5', '12096.do6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6206, -1, 8355, -1], 'generators': [357001329847806, 5160, 121, 754574702919103, 356995102827007, 1307714652841], 'label': '387072.a.6048.bn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bn2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249794
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i1', '3024.k1', '3024.l1', '3024.m1', '3024.u2', '3024.v1', '3024.cc1'], 'contains': ['12096.s2', '12096.w2', '12096.bj1', '12096.bm1', '12096.bo1', '12096.do1', '12096.do2', '12096.do3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5923, -1, 8397, -1], 'generators': [357001329847806, 5160, 121, 1307714289846, 754574702919103, 356995102827007], 'label': '387072.a.6048.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bn2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bn1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249795
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i2', '3024.j1', '3024.k2', '3024.n1', '3024.u2', '3024.w1', '3024.cc1'], 'contains': ['12096.t2', '12096.v2', '12096.bk1', '12096.bl1', '12096.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1731, -1, 4857, -1], 'generators': [1110262131014976, 357001329847806, 356995102827007, 1307714289846, 121, 5160], 'label': '387072.a.6048.bo2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bo1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bo2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249796
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i1', '3024.j1', '3024.k1', '3024.n1', '3024.u1', '3024.w1', '3024.cc2'], 'contains': ['12096.t1', '12096.v1', '12096.bk1', '12096.bl1', '12096.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1739, -1, 4716, -1], 'generators': [357001329847806, 5160, 121, 1110262131377983, 356995102827007, 1307714652841], 'label': '387072.a.6048.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bo2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bo1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250375
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.k1', '8064.i1', '8064.p2', '8064.q1'], 'contains': ['32256.x1', '48384.q1', '64512.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [2531, -1, 125, -1], 'generators': [1509230664374262, 4124646725074128, 1864985503034449, 355693695401647], 'label': '387072.a.16128.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.j1', 'old_label': '16128.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.j1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249797
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.i2', '3024.i1', '3024.l1', '3024.n1', '3024.u2', '3024.u1', '3024.ce1'], 'contains': ['12096.u1', '12096.w3', '12096.bk1', '12096.bm1', '12096.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3991, -1, 6562, -1], 'generators': [121, 754574702919103, 357001369406641, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.6048.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bp1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249798
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.o2', '3024.p2', '3024.q1', '3024.s1', '3024.u2', '3024.z1', '3024.cc2'], 'contains': ['12096.j2', '12096.j4', '12096.k1', '12096.q1', '12096.y1', '12096.y3', '12096.z1', '12096.bb2', '12096.bj1', '12096.bk1', '12096.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1573, -1, 4255, -1], 'generators': [357001329847806, 5160, 121, 753260761613376, 356995102827007, 1307674731001], 'label': '387072.a.6048.bq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bq2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249799
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.o1', '3024.p1', '3024.q1', '3024.s1', '3024.u1', '3024.z1', '3024.cc1'], 'contains': ['12096.j1', '12096.j3', '12096.k2', '12096.q2', '12096.y1', '12096.y2', '12096.z2', '12096.bb1', '12096.bj1', '12096.bk1', '12096.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1537, -1, 4298, -1], 'generators': [357001329847806, 5160, 121, 1307674368006, 753260761976383, 356995102827007], 'label': '387072.a.6048.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bq2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bq1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249800
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.r1', '3024.s1', '3024.v1', '3024.z1', '3024.bc1', '3024.bs1', '3024.cd1'], 'contains': ['12096.l2', '12096.l1', '12096.l3', '12096.z1', '12096.z2', '12096.ba1', '12096.bg1', '12096.bj1', '12096.bp1', '12096.ds1', '12096.ds2', '12096.ds3', '12096.eo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2639, -1, 4880, -1], 'generators': [121, 1108948190072263, 356995102464000, 357001329489961, 1307674368001, 363007], 'label': '387072.a.6048.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '6048.br1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.br1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249801
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '336.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['84.b1', '112.a1'], 'contains': ['672.c1', '1008.bb1', '21504.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 112, 'diagramx': [9620, -1, 9856, -1], 'generators': [367927, 1307674731006, 1120133873393272, 3377025339194448, 1513334224684822, 362886, 356995142385847, 40284847, 357001369406646], 'label': '387072.a.336.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '112.a1', 'old_label': '336.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.d1', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66249802
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.q1', '3024.t1', '3024.w1', '3024.z1', '3024.bd1', '3024.bt1', '3024.ce1'], 'contains': ['12096.m2', '12096.m1', '12096.m3', '12096.bb1', '12096.bb2', '12096.bc1', '12096.bg1', '12096.bk1', '12096.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2148, -1, 4639, -1], 'generators': [121, 1108948190077416, 356995102464000, 357001329489961, 1307674368001, 363007], 'label': '387072.a.6048.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '6048.bs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bs1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249803
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bt2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.o2', '3024.p2', '3024.r1', '3024.t1', '3024.u1', '3024.ba1', '3024.cc1'], 'contains': ['12096.n1', '12096.bd1', '12096.bl1', '12096.bm1', '12096.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2679, -1, 5573, -1], 'generators': [357001329847806, 5160, 121, 1307674368006, 754574702919103, 356995102827007], 'label': '387072.a.6048.bt2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bt2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249804
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.o1', '3024.p1', '3024.r1', '3024.t1', '3024.u2', '3024.ba1', '3024.cc2'], 'contains': ['12096.n2', '12096.bd2', '12096.bl1', '12096.bm1', '12096.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2705, -1, 5554, -1], 'generators': [357001329847806, 5160, 121, 754574702919103, 356995102827007, 1307674731001], 'label': '387072.a.6048.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.bt2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bt1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249805
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bt3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.x1', '3024.ba1', '3024.be1', '3024.bf1', '3024.bs1', '3024.bt1', '3024.cf1'], 'contains': ['12096.bd1', '12096.bd2', '12096.be1', '12096.bf1', '12096.bp1', '12096.dt1', '12096.dt2', '12096.dt3', '12096.ep1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3895, -1, 6845, -1], 'generators': [121, 754574702919096, 356995102464000, 357001329489961, 1307674368001, 363007], 'label': '387072.a.6048.bt3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.bt3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bt3', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249806
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.p2', '3024.p1', '3024.w1', '3024.ba1', '3024.bf1', '3024.bu1', '3024.cd1'], 'contains': ['12096.o1', '12096.be1', '12096.bl1', '12096.bp1', '12096.du1', '12096.eq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2497, -1, 5303, -1], 'generators': [754574702924016, 121, 1307674368001, 357001329489961, 356995102464000, 363007], 'label': '387072.a.6048.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '6048.bu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bu1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249807
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.o2', '3024.o1', '3024.v1', '3024.ba1', '3024.be1', '3024.bv1', '3024.ce1'], 'contains': ['12096.p1', '12096.bf1', '12096.bm1', '12096.bp1', '12096.dv1', '12096.dv2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [5939, -1, 8437, -1], 'generators': [121, 754574702919103, 356995102464000, 357001329489961, 1307674368001, 363007], 'label': '387072.a.6048.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '6048.bv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bv1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249808
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.x1', '3024.bb1', '3024.bc1', '3024.bd1', '3024.bu1', '3024.bv1', '3024.cf1'], 'contains': ['12096.q4', '12096.q3', '12096.bg1', '12096.bp1', '12096.dw1', '12096.dw2', '12096.dw3', '12096.er1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3102, -1, 6463, -1], 'generators': [121, 1307674368001, 357001329489961, 1108948190077423, 356995102464000, 363007], 'label': '387072.a.6048.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.bw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bw1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249809
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.u2', '3024.u1', '3024.v1', '3024.w1', '3024.x1', '3024.bw1', '3024.cg1'], 'contains': ['12096.x2', '12096.x1', '12096.x3', '12096.bi1', '12096.bi4', '12096.bi3', '12096.bi5', '12096.bi6', '12096.bi7', '12096.bi8', '12096.bo1', '12096.bp1', '12096.ec3', '12096.ec5', '12096.ec6', '12096.ec7', '12096.ec8', '12096.ec9', '12096.ei1', '12096.ej1', '12096.es2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [5687, -1, 8538, -1], 'generators': [5160, 126, 356995142385847, 357001369406641, 1307674368001, 40284847], 'label': '387072.a.6048.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '6048.bx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bx1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249825
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cg5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c4', '3024.c6', '3024.c5', '3024.d1', '3024.d2', '3024.d3', '3024.e1', '3024.bh3', '3024.bh5', '3024.bi1', '3024.bi4', '3024.bi3', '3024.bj1', '3024.bk4'], 'contains': ['12096.bv7', '12096.cg1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1962, -1, 3256, -1], 'generators': [356995102464121, 1307674735921, 357001329489840, 1108948190077302, 4538937516860177, 363007], 'label': '387072.a.6048.cg5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.cg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cg5', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249810
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bw1', '3024.cg1'], 'contains': ['12096.x4', '12096.x5', '12096.x6', '12096.x7', '12096.x8', '12096.x9', '12096.bi2', '12096.bi4', '12096.bi3', '12096.bi5', '12096.bi6', '12096.bi7', '12096.bi8', '12096.bi9', '12096.bi10', '12096.bi11', '12096.bi12', '12096.bi13', '12096.bi14', '12096.bi15', '12096.bo2', '12096.bp2', '12096.ec1', '12096.ec2', '12096.ec4', '12096.ec5', '12096.ec6', '12096.ec7', '12096.ec8', '12096.ec9', '12096.ec10', '12096.ec11', '12096.ei2', '12096.ei3', '12096.ei4', '12096.ei5', '12096.ej1', '12096.ej2', '12096.ej3', '12096.ej4', '12096.es2', '12096.es3', '12096.es4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5781, -1, 8524, -1], 'generators': [5160, 121, 356995142385847, 357001369769641, 1307674368001, 40284847], 'label': '387072.a.6048.bx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '6048.bx2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bx2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249811
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.j1', '3024.y1', '3024.y3', '3024.z1', '3024.ba1', '3024.bb1', '3024.bg1', '3024.cg1'], 'contains': ['12096.bh1', '12096.bh3', '12096.bn1', '12096.bn2', '12096.bp1', '12096.ei2', '12096.et1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3635, -1, 6545, -1], 'generators': [357001369769646, 5160, 1307674368006, 362886, 356995142385840, 40284840], 'label': '387072.a.6048.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '6048.by1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.by1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249812
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '378.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.a1', '189.a1'], 'contains': ['756.c1', '756.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3140, -1, 3767, -1], 'generators': [5160, 121, 754574702919096, 4127382519326782, 4894618758220222, 357001329484801, 356995102464000, 7, 1307674368001, 363000], 'label': '387072.a.378.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '378.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '378.a1', 'subgroup_fusion': None, 'weyl_group': '3072.lh'}
  • id: 66249813
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.by2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.j2', '3024.y2', '3024.bg1', '3024.cg1'], 'contains': ['12096.bh2', '12096.bh3', '12096.bn1', '12096.bn2', '12096.bn3', '12096.bp2', '12096.ei1', '12096.ei3', '12096.ei4', '12096.ei5', '12096.et1', '12096.et2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4097, -1, 7581, -1], 'generators': [5160, 121, 356995142385840, 357001369769641, 1307674368001, 40284840], 'label': '387072.a.6048.by2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.by2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.by2', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249814
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.k1', '3024.bc1', '3024.bd1', '3024.be1', '3024.bf1', '3024.bg1', '3024.bw1', '3024.ci1'], 'contains': ['12096.bn1', '12096.bn2', '12096.bn3', '12096.bp1', '12096.bp2', '12096.bq1', '12096.es1', '12096.es2', '12096.es3', '12096.es4', '12096.es5', '12096.es6', '12096.ev1', '12096.ew1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3844, -1, 7335, -1], 'generators': [5160, 121, 357001369769641, 356995142748840, 1307674368001, 40284840], 'label': '387072.a.6048.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.bz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.bz1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249815
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.a1', '3024.bj1', '3024.bk3'], 'contains': ['12096.bv7', '12096.bv8', '12096.bv10', '12096.bv9', '12096.by1', '12096.cd3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1503, -1, 2638, -1], 'generators': [356995102464121, 753266989002223, 3771695091593662, 1307674373166, 357001329852847, 4538937516860182], 'label': '387072.a.6048.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '6048.ca1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ca1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249816
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.l1', '3024.a1', '3024.bk1', '3024.bk2'], 'contains': ['12096.bv8', '12096.bw1', '12096.cb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [470, -1, 2454, -1], 'generators': [356995102464121, 753266989002223, 3771695091593662, 1307674373166, 4894624944956183, 357001329852847], 'label': '387072.a.6048.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '6048.cb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cb1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249817
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.a1', '3024.bk2', '3024.bk4'], 'contains': ['12096.bv7', '12096.bv10', '12096.bv9', '12096.bw2', '12096.bw1', '12096.cb2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [763, -1, 2609, -1], 'generators': [356995102464121, 3773008992982462, 1307674373166, 357001329852847, 4894624945319057, 1108948190072382], 'label': '387072.a.6048.cb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '6048.cb2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cb2', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249818
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.b1', '3024.bj1', '3024.bk2'], 'contains': ['12096.bv7', '12096.bv8', '12096.bv10', '12096.bv9', '12096.bz3', '12096.cc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1845, -1, 2669, -1], 'generators': [356995102464121, 4895932619324182, 3773008992982462, 1307674373166, 357001329852847, 1108948190072382], 'label': '387072.a.6048.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '6048.cc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cc1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249819
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.m1', '3024.b1', '3024.bk1', '3024.bk3'], 'contains': ['12096.bv8', '12096.ca1', '12096.cb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [775, -1, 2542, -1], 'generators': [356995102464121, 753266989002223, 3771695091593662, 1307674373166, 357001329852847, 4540245191591057], 'label': '387072.a.6048.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '6048.cd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cd1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249820
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.b1', '3024.bk3', '3024.bk4'], 'contains': ['12096.bv7', '12096.bv10', '12096.bv9', '12096.ca2', '12096.ca1', '12096.cb2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1213, -1, 2700, -1], 'generators': [356995102464121, 3773008992982462, 1307674373166, 357001329852847, 4540245191228183, 1108948190072382], 'label': '387072.a.6048.cd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '6048.cd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cd2', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249821
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.n1', '3024.a1', '3024.bk3', '3024.bl1'], 'contains': ['12096.br1', '12096.bs1', '12096.bt1', '12096.by1', '12096.cb1', '12096.cb2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [308, -1, 1846, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 4128696421078456, 357001329852847, 4538937516860182], 'label': '387072.a.6048.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '6048.ce1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ce1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249822
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.o1', '3024.b1', '3024.bk2', '3024.bl1'], 'contains': ['12096.bs1', '12096.bt1', '12096.bu1', '12096.cb1', '12096.cb2', '12096.cc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [444, -1, 1820, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 4895932619687056, 4128696421078456, 357001329852847], 'label': '387072.a.6048.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '6048.cf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cf1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249823
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '378.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.a1', '126.b1', '189.a1'], 'contains': ['756.a1', '756.b1', '756.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3102, -1, 3612, -1], 'generators': [5160, 121, 1108948190072263, 4127382519326782, 4540245191228183, 357001329484801, 356995102464000, 7, 1307674368001, 363000], 'label': '387072.a.378.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '378.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '378.b1', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66249824
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cg4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c4', '3024.c2', '3024.c8', '3024.d1', '3024.d5', '3024.d3', '3024.e2', '3024.bh1', '3024.bh4', '3024.bh5', '3024.bi2', '3024.bi4', '3024.bj1', '3024.bk4'], 'contains': ['12096.bv10', '12096.cg1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2116, -1, 3809, -1], 'generators': [356995102464121, 1307674735921, 357001329489840, 4540245191228183, 1108948190077302, 363007], 'label': '387072.a.6048.cg4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.cg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cg4', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249826
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cg3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c3', '3024.c2', '3024.c7', '3024.d1', '3024.d4', '3024.e2', '3024.bh2', '3024.bh3', '3024.bh6', '3024.bi2', '3024.bi1', '3024.bi3', '3024.bj1', '3024.bk4'], 'contains': ['12096.bv9', '12096.cg1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2103, -1, 3776, -1], 'generators': [356995102464121, 1307674735921, 4895932619324177, 357001329489840, 363007, 753260761981422], 'label': '387072.a.6048.cg3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.cg3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cg3', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249827
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c3', '3024.c1', '3024.c8', '3024.c6', '3024.d6', '3024.f1', '3024.bh6', '3024.bh5', '3024.bi2', '3024.bi1', '3024.bi4', '3024.bi3', '3024.bj1'], 'contains': ['12096.bv6', '12096.bv3', '12096.bz3', '12096.cd3', '12096.cg1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1976, -1, 3223, -1], 'generators': [356995102464121, 4895932619324182, 1307674735921, 357001329489840, 363007, 1108948190072382], 'label': '387072.a.6048.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.cg4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cg1', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249828
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c1', '3024.c7', '3024.c5', '3024.d1', '3024.d2', '3024.d5', '3024.e2', '3024.bh4', '3024.bh6', '3024.bi1', '3024.bi4', '3024.bi3', '3024.bj1', '3024.bk1'], 'contains': ['12096.bv8', '12096.cg1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1926, -1, 3547, -1], 'generators': [356995102464121, 1307674735921, 357001329489840, 4540245191228183, 363007, 753260761981422], 'label': '387072.a.6048.cg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.cg5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cg2', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249829
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cg6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.d6', '3024.e3'], 'contains': ['12096.bv4', '12096.bv5', '12096.bv6', '12096.bv1', '12096.bv2', '12096.bv3', '12096.bx5', '12096.bz2', '12096.bz1', '12096.cd1', '12096.cd2', '12096.ce1', '12096.cf2', '12096.cf1', '12096.ch2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1091, -1, 3338, -1], 'generators': [356995102831920, 1307674373166, 368041, 4894624944956183, 1108948190072382, 357001329484806], 'label': '387072.a.6048.cg6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.cg6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cg6', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249830
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.p1', '3024.e3'], 'contains': ['12096.bv4', '12096.bv1', '12096.bw4', '12096.ca4', '12096.cf3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [629, -1, 3069, -1], 'generators': [356995102831920, 1307674731006, 368041, 4894624944956183, 1108948190072382, 357001329484806], 'label': '387072.a.6048.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.c1', 'old_label': '6048.ch1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ch1', 'subgroup_fusion': None, 'weyl_group': '192.1541'}
  • id: 66249831
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ch2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.p2', '3024.e1', '3024.bk2', '3024.bk3'], 'contains': ['12096.bv7', '12096.cb1', '12096.cf2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1226, -1, 2482, -1], 'generators': [1307674373161, 356995102826881, 357001329489840, 1108948190077302, 4538937516860177, 363007], 'label': '387072.a.6048.ch2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '6048.ch2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ch2', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66249832
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ch3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e2', '3024.bk2', '3024.bk3'], 'contains': ['12096.bv8', '12096.bv10', '12096.bv9', '12096.cb2', '12096.cf2', '12096.cf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1490, -1, 2730, -1], 'generators': [1307674735921, 753260761976383, 4540245191228183, 357001329484801, 368046, 356995102469160], 'label': '387072.a.6048.ch3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '6048.ch3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ch3', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66249833
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ch4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3'], 'contains': ['12096.bv5', '12096.bv2', '12096.bw3', '12096.bx1', '12096.bx2', '12096.bx3', '12096.bx4', '12096.bz2', '12096.bz1', '12096.ca3', '12096.cd1', '12096.cd2', '12096.cf3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [669, -1, 3035, -1], 'generators': [356995102831920, 1307674731006, 368041, 4540245191228183, 1108948190072382, 357001329484806], 'label': '387072.a.6048.ch4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '6048.ch4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ch4', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66249834
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '378.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.c1', '189.a1'], 'contains': ['756.c1', '756.d1', '756.e1', '756.f1', '756.g1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3131, -1, 4944, -1], 'generators': [754574702919096, 4894618758220222, 357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7, 363000], 'label': '387072.a.378.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '378.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '378.c1', 'subgroup_fusion': None, 'weyl_group': '1536.408527554'}
  • id: 66249835
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.d2', '3024.d5', '3024.d4', '3024.d3', '3024.d6', '3024.f1', '3024.bi2', '3024.bi1', '3024.bi4', '3024.bi3', '3024.bk1', '3024.bk4'], 'contains': ['12096.bw2', '12096.bw1', '12096.bx5', '12096.ca2', '12096.ca1', '12096.cg1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1081, -1, 2867, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 4894624944956183, 357001329489840, 363007], 'label': '387072.a.6048.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.ci1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ci1', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249836
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ci2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.f1', '3024.bk2'], 'contains': ['12096.bw2', '12096.bw1', '12096.bw3', '12096.bx3', '12096.bx4', '12096.bz3', '12096.ca4', '12096.cc1', '12096.cf2', '12096.cf1', '12096.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [641, -1, 2821, -1], 'generators': [356995102831920, 4895932619324182, 1307674373166, 368041, 1108948190072382, 357001329484806], 'label': '387072.a.6048.ci2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '6048.ci2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ci2', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249837
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ci3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.e3', '3024.f1', '3024.bk3'], 'contains': ['12096.bw4', '12096.bx1', '12096.bx2', '12096.by1', '12096.ca2', '12096.ca1', '12096.ca3', '12096.cd3', '12096.cf2', '12096.cf1', '12096.cg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [929, -1, 2792, -1], 'generators': [356995102831920, 1307674373166, 368041, 4540245191228183, 1108948190072382, 357001329484806], 'label': '387072.a.6048.ci3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '6048.ci3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ci3', 'subgroup_fusion': None, 'weyl_group': '128.2163'}
  • id: 66249838
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.q1', '3024.e1', '3024.e2', '3024.f1', '3024.bj1', '3024.bk1', '3024.bk4', '3024.bl1'], 'contains': ['12096.by1', '12096.cb1', '12096.cb2', '12096.cc1', '12096.cg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [482, -1, 2580, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 357001329489840, 4538937516860182, 363007], 'label': '387072.a.6048.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '6048.cj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cj1', 'subgroup_fusion': None, 'weyl_group': '768.1085110'}
  • id: 66249839
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.r1', '3024.d6', '3024.h1', '3024.h2', '3024.bh2', '3024.bh1', '3024.bh4', '3024.bh3'], 'contains': ['12096.ce1', '12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2396, -1, 3867, -1], 'generators': [356995102464121, 1307674735921, 4894624944956183, 357001329489840, 363007, 1108948190072382], 'label': '387072.a.6048.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '6048.ck1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ck1', 'subgroup_fusion': None, 'weyl_group': '768.1085110'}
  • id: 66249840
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ck2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c4', '3024.c3', '3024.c2', '3024.c1', '3024.d2', '3024.h2', '3024.h3', '3024.bh4', '3024.bh3', '3024.bh6', '3024.bh5', '3024.bi2', '3024.bi1', '3024.bm1', '3024.bm2'], 'contains': ['12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2342, -1, 3956, -1], 'generators': [356995102464121, 1307674735921, 357001329489840, 4538937516860177, 363007, 753260761981422], 'label': '387072.a.6048.ck2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.ck2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ck2', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249841
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ck5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c4', '3024.c6', '3024.c5', '3024.d5', '3024.h2', '3024.h3', '3024.bh2', '3024.bh4', '3024.bh6', '3024.bh5', '3024.bi2', '3024.bi3', '3024.bm2'], 'contains': ['12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2377, -1, 3931, -1], 'generators': [356995102464121, 1307674735921, 4894624944956183, 357001329489840, 1108948190077302, 363007], 'label': '387072.a.6048.ck5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.ck3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ck5', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249842
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ck4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c3', '3024.c7', '3024.c8', '3024.c5', '3024.d3', '3024.h2', '3024.h3', '3024.bh1', '3024.bh3', '3024.bh6', '3024.bi1', '3024.bi4', '3024.bm2'], 'contains': ['12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2387, -1, 3981, -1], 'generators': [356995102464121, 1307674735921, 357001329489840, 4538937516860177, 363007, 1108948190072382], 'label': '387072.a.6048.ck4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.ck4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ck4', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249843
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ck3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.c2', '3024.c1', '3024.c7', '3024.c8', '3024.d4', '3024.h1', '3024.h3', '3024.bh4', '3024.bh3', '3024.bh5', '3024.bi4', '3024.bi3', '3024.bm2'], 'contains': ['12096.ch1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2367, -1, 4005, -1], 'generators': [356995102464121, 1307674735921, 4894624944956183, 357001329489840, 363007, 753260761981422], 'label': '387072.a.6048.ck3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '6048.ck5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ck3', 'subgroup_fusion': None, 'weyl_group': '256.55805'}
  • id: 66249844
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bn1', '3024.bn2', '3024.bs1'], 'contains': ['12096.ci1', '12096.cj1', '12096.ck1', '12096.cn1', '12096.cr1', '12096.df1', '12096.dg1', '12096.dh1', '12096.dp2', '12096.ds1', '12096.dt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3975, -1, 7269, -1], 'generators': [357001369769646, 121, 1307714652846, 754574702919096, 40279687, 356995102827007], 'label': '387072.a.6048.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.cl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cl1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249845
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '432.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.a1', '144.a1', '216.c1'], 'contains': ['864.a1', '3024.bg1', '3456.a1', '3456.a2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [3146, -1, 2558, -1], 'generators': [367920, 362881, 5633863716119638, 356995142385847, 39921847, 7, 1307674368001, 357001369406646], 'label': '387072.a.432.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.c1', 'old_label': '432.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.a1', 'subgroup_fusion': None, 'weyl_group': '1344.11691'}
  • id: 66249846
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bn2', '3024.bs1'], 'contains': ['12096.ci2', '12096.cj1', '12096.ck1', '12096.cn2', '12096.cr2', '12096.df3', '12096.dg2', '12096.dh2', '12096.dp1', '12096.ds2', '12096.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3939, -1, 7216, -1], 'generators': [357001369769646, 121, 1307674368006, 753260761976383, 40279687, 356995102827007], 'label': '387072.a.6048.cl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.cl2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cl2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249847
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cl3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bs1', '3024.bx1'], 'contains': ['12096.ci1', '12096.ci2', '12096.co1', '12096.cq1', '12096.cr3', '12096.df4', '12096.df2', '12096.dq1', '12096.dr1', '12096.ds3', '12096.dt3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3623, -1, 6926, -1], 'generators': [357001369769646, 121, 754574702919096, 40279687, 356995102464000, 1307714289841], 'label': '387072.a.6048.cl3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.cl3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cl3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249848
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bu1', '3024.bx1'], 'contains': ['12096.cp2', '12096.cp1', '12096.cr3', '12096.dr1', '12096.du1', '12096.dw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2851, -1, 5928, -1], 'generators': [357001369769646, 121, 40279687, 1110262131377983, 356995102464000, 1307714289841], 'label': '387072.a.6048.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.cm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cm1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249849
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bn1', '3024.bn2', '3024.bv1'], 'contains': ['12096.ck1', '12096.cr1', '12096.di1', '12096.di2', '12096.dv1', '12096.dw2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6062, -1, 8644, -1], 'generators': [357001369769646, 121, 1307714652846, 40279687, 1108948189709503, 356995102827007], 'label': '387072.a.6048.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.cn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cn1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249850
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bn2', '3024.bv1'], 'contains': ['12096.ck1', '12096.cr2', '12096.di3', '12096.di4', '12096.dv2', '12096.dw3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6087, -1, 8683, -1], 'generators': [357001369769646, 121, 1307674368006, 754574702919096, 40279687, 356995102827007], 'label': '387072.a.6048.cn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.cn2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cn2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249851
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.co2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bx1', '3024.cd1'], 'contains': ['12096.cm2', '12096.co1', '12096.cp2', '12096.cs1', '12096.ct2', '12096.dn2', '12096.ds3', '12096.du1', '12096.ed2', '12096.ef1', '12096.eg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2563, -1, 5487, -1], 'generators': [357001369769646, 121, 1307674731006, 754568436344263, 40279687, 356995102464000], 'label': '387072.a.6048.co2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.co1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.co2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249852
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bx1', '3024.cd1'], 'contains': ['12096.cm1', '12096.co1', '12096.cp1', '12096.cs1', '12096.ct1', '12096.dn1', '12096.ds3', '12096.du1', '12096.ed1', '12096.ef1', '12096.eg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2530, -1, 5444, -1], 'generators': [754574702924137, 39916927, 362886, 356995102464000, 357001369769641, 1307674731001], 'label': '387072.a.6048.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.co2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.co1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249853
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bx1', '3024.cf1'], 'contains': ['12096.cp1', '12096.cq1', '12096.ct2', '12096.dt3', '12096.dw1', '12096.eg1', '12096.eh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3588, -1, 6620, -1], 'generators': [357001369769646, 121, 1307674731006, 754574702919096, 40279687, 356995102464000], 'label': '387072.a.6048.cp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.cp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cp2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249854
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bx1', '3024.cf1'], 'contains': ['12096.cp2', '12096.cq1', '12096.ct1', '12096.dt3', '12096.dw1', '12096.eg2', '12096.eh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3596, -1, 6639, -1], 'generators': [39916927, 362886, 1108948190077302, 356995102464000, 357001369769641, 1307674731001], 'label': '387072.a.6048.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.cp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cp1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249855
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bs1', '3024.ch1'], 'contains': ['12096.cn1', '12096.cn2', '12096.co1', '12096.cq1', '12096.cu2', '12096.dx1', '12096.dx3', '12096.dz1', '12096.ea1', '12096.eo1', '12096.ep1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3384, -1, 6502, -1], 'generators': [5160, 121, 1307714652846, 754574702919096, 357001329484801, 356995102464000], 'label': '387072.a.6048.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.cq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cq1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249856
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '27.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '9.a1'], 'contains': ['54.a1', '189.a1', '216.c1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3131, -1, 2544, -1], 'generators': [1307674368001, 7, 754574702919096, 363000, 5278182555329273, 5160, 4894618758220222, 4127382519326782, 357001369769646, 121, 40284847, 356995142748847], 'label': '387072.a.27.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '27.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.a1', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66249857
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '432.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.a1', '144.b1'], 'contains': ['3024.bl1', '3456.a1', '3456.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 144, 'diagramx': [2958, -1, 976, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 4128696421078456, 357001329489840, 4538937516860182, 5633863716482638, 363007], 'label': '387072.a.432.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '144.b1', 'old_label': '432.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.b1', 'subgroup_fusion': None, 'weyl_group': '1344.11691'}
  • id: 66249858
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bu1', '3024.ch1'], 'contains': ['12096.cp2', '12096.cp1', '12096.cu2', '12096.ea1', '12096.eq1', '12096.er1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2819, -1, 5827, -1], 'generators': [5160, 121, 1307714652846, 357001329484801, 356995102464000, 1108948190077423], 'label': '387072.a.6048.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.cr1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cr1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249859
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.s1', '3024.bn1', '3024.bw1', '3024.cg1'], 'contains': ['12096.x1', '12096.x4', '12096.x5', '12096.bi5', '12096.bi9', '12096.bn1', '12096.cr1', '12096.cr4', '12096.ct3', '12096.ec5', '12096.ec10', '12096.ei3', '12096.es1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5563, -1, 8462, -1], 'generators': [357001369769646, 5160, 126, 356995142385840, 1307674368001, 40284847], 'label': '387072.a.6048.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.cs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cs1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249860
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cs2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bn2', '3024.bw1', '3024.cg1'], 'contains': ['12096.x3', '12096.x4', '12096.x6', '12096.x7', '12096.x8', '12096.x9', '12096.bi5', '12096.bi6', '12096.bi10', '12096.bi11', '12096.bi12', '12096.bn3', '12096.cr1', '12096.cr2', '12096.cr5', '12096.cr6', '12096.cr7', '12096.ct2', '12096.ct4', '12096.ct5', '12096.ec3', '12096.ec5', '12096.ec6', '12096.ec7', '12096.ec8', '12096.ec10', '12096.ei2', '12096.ei4', '12096.ei5', '12096.es5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5897, -1, 8510, -1], 'generators': [5160, 126, 356995142748847, 1307674368001, 40284847, 357001369406646], 'label': '387072.a.6048.cs2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.cs2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cs2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249861
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cs3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bw1', '3024.cg1'], 'contains': ['12096.x2', '12096.x1', '12096.x3', '12096.x4', '12096.x5', '12096.x6', '12096.x7', '12096.x8', '12096.x9', '12096.bi6', '12096.bi7', '12096.bi8', '12096.bi9', '12096.bi10', '12096.bi11', '12096.bi13', '12096.bi14', '12096.bn2', '12096.bn3', '12096.cr3', '12096.cr4', '12096.cr5', '12096.cr6', '12096.cr7', '12096.cr8', '12096.cr9', '12096.ct1', '12096.ct3', '12096.ct4', '12096.ct5', '12096.ct6', '12096.ec4', '12096.ec6', '12096.ec7', '12096.ec8', '12096.ec10', '12096.ec11', '12096.ei1', '12096.ei2', '12096.ei3', '12096.ei4', '12096.ei5', '12096.es6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5681, -1, 8496, -1], 'generators': [357001369769646, 5160, 126, 356995142385847, 1307674368001, 40284847], 'label': '387072.a.6048.cs3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '6048.cs3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cs3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66249862
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bw1', '3024.ci1'], 'contains': ['12096.bi5', '12096.bi6', '12096.bi7', '12096.bi8', '12096.bi9', '12096.bi10', '12096.bi11', '12096.bi12', '12096.bi13', '12096.bi14', '12096.bo1', '12096.bo2', '12096.bq1', '12096.ct2', '12096.ct1', '12096.ct3', '12096.ct4', '12096.ct5', '12096.ct6', '12096.cu1', '12096.cu2', '12096.ej1', '12096.ej2', '12096.ej3', '12096.ej4', '12096.es2', '12096.es3', '12096.es4', '12096.ev1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4840, -1, 8104, -1], 'generators': [5160, 121, 356995142748847, 357001369769641, 1307674368001, 40284847], 'label': '387072.a.6048.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.ct1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ct1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249863
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp1', '3024.bq1', '3024.cc2'], 'contains': ['12096.a4', '12096.a3', '12096.k1', '12096.n2', '12096.s1', '12096.t1', '12096.cv1', '12096.cv2', '12096.cw1', '12096.cx1', '12096.da1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1806, -1, 4783, -1], 'generators': [754574702919096, 362886, 356995102464000, 357001369769641, 40279680, 1307714289841], 'label': '387072.a.6048.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.cu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cu1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249864
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp2', '3024.bq1', '3024.cc1'], 'contains': ['12096.a2', '12096.a1', '12096.k2', '12096.n1', '12096.s2', '12096.t2', '12096.cv2', '12096.cw1', '12096.cx1', '12096.da2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1752, -1, 4980, -1], 'generators': [1307714652846, 754574702919096, 362886, 356995102464000, 357001369769641, 40279680], 'label': '387072.a.6048.cu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.cu2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cu2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249865
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp1', '3024.bp2', '3024.cd1'], 'contains': ['12096.l3', '12096.o1', '12096.r1', '12096.v3', '12096.cm2', '12096.cm1', '12096.cw1', '12096.cy1', '12096.da3', '12096.ed2', '12096.ed1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2239, -1, 5178, -1], 'generators': [121, 1108948190072263, 1307674731006, 357001369406641, 40279687, 356995102464000], 'label': '387072.a.6048.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.cv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cv1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249866
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp1', '3024.bp2', '3024.ce1'], 'contains': ['12096.m3', '12096.p1', '12096.u1', '12096.w3', '12096.cx1', '12096.cz1', '12096.da3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3291, -1, 6288, -1], 'generators': [121, 1307674731006, 754574702919103, 357001369406641, 40279687, 356995102464000], 'label': '387072.a.6048.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.cw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249867
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp1', '3024.br1', '3024.cc2'], 'contains': ['12096.n2', '12096.q1', '12096.v1', '12096.w1', '12096.cy1', '12096.cz1', '12096.da1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2754, -1, 5986, -1], 'generators': [754574702924137, 362886, 356995102464000, 357001369769641, 40279680, 1307714289841], 'label': '387072.a.6048.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.cx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249868
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '432.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.a1'], 'contains': ['3024.bm1', '3456.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 432, 'diagramx': [3005, -1, 2614, -1], 'generators': [356995102464121, 1307674735921, 4895932619324177, 4128696420715582, 357001329489840, 5633863716482638, 363007, 1108948190072382], 'label': '387072.a.432.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '432.c1', 'old_label': '432.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.c1', 'subgroup_fusion': None, 'weyl_group': '448.179'}
  • id: 66249869
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp2', '3024.br1', '3024.cc1'], 'contains': ['12096.n1', '12096.q2', '12096.v2', '12096.w2', '12096.cy1', '12096.cz1', '12096.da2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2746, -1, 6006, -1], 'generators': [754574702924137, 1307714652846, 357001369769641, 356995102464000, 362886, 40279680], 'label': '387072.a.6048.cx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.cx2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cx2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249870
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.u1', '3024.bp1', '3024.bs1', '3024.cc1'], 'contains': ['12096.s2', '12096.v2', '12096.z2', '12096.bd1', '12096.ci1', '12096.cn2', '12096.cw1', '12096.cz1', '12096.db3', '12096.dx2', '12096.ee1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2877, -1, 6362, -1], 'generators': [5160, 1307714652846, 754574702919096, 362886, 357001329484801, 356995102464000], 'label': '387072.a.6048.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.cy1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cy1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249871
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cy2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp2', '3024.bs1', '3024.cc2'], 'contains': ['12096.s1', '12096.v1', '12096.z1', '12096.bd2', '12096.ci2', '12096.cn1', '12096.cw1', '12096.cz1', '12096.db4', '12096.dx4', '12096.ee2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2931, -1, 6319, -1], 'generators': [362886, 356995102827007, 357001369769641, 40279680, 1307674368001, 1108948190072382], 'label': '387072.a.6048.cy2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.cy2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cy2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249872
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.t1', '3024.bq1', '3024.bs1', '3024.cd1'], 'contains': ['12096.r1', '12096.ba1', '12096.be1', '12096.cj1', '12096.co1', '12096.cw1', '12096.db2', '12096.dy1', '12096.ef1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [2627, -1, 5100, -1], 'generators': [1307714647686, 754574702924016, 121, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.cz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.cz1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249873
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.w1', '3024.bp1', '3024.bt1', '3024.cc1'], 'contains': ['12096.t2', '12096.w2', '12096.bb1', '12096.bd1', '12096.cx1', '12096.cy1', '12096.db3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2444, -1, 5631, -1], 'generators': [5160, 1307714652846, 362886, 357001329484801, 356995102464000, 1108948190072256], 'label': '387072.a.6048.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.da1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.da1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249874
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.da2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp2', '3024.bt1', '3024.cc2'], 'contains': ['12096.t1', '12096.w1', '12096.bb2', '12096.bd2', '12096.cx1', '12096.cy1', '12096.db4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2509, -1, 5593, -1], 'generators': [754574702919096, 362886, 356995102827007, 357001369769641, 40279680, 1307674368001], 'label': '387072.a.6048.da2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '6048.da2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.da2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249875
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.v1', '3024.bq1', '3024.bt1', '3024.ce1'], 'contains': ['12096.u1', '12096.bc1', '12096.bf1', '12096.cx1', '12096.db2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3336, -1, 5738, -1], 'generators': [1307714647686, 121, 1108948190077416, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.db1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.db1', 'subgroup_fusion': None, 'weyl_group': '96.228'}
  • id: 66249876
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.br1', '3024.bt1', '3024.bu1', '3024.cd1', '3024.cf1'], 'contains': ['12096.v3', '12096.be1', '12096.bg1', '12096.cp2', '12096.cp1', '12096.cy1', '12096.db2', '12096.eg2', '12096.eg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2547, -1, 5659, -1], 'generators': [1307714647686, 121, 1108948190072263, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.dc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dc1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249877
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.br1', '3024.bs1', '3024.bv1', '3024.ce1', '3024.cf1'], 'contains': ['12096.w3', '12096.bf1', '12096.bg1', '12096.ck1', '12096.cq1', '12096.cz1', '12096.db2', '12096.eb1', '12096.eh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3748, -1, 6887, -1], 'generators': [1307714647686, 121, 754574702919096, 356995102464000, 357001329489961, 363007], 'label': '387072.a.6048.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.dd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dd1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66249878
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.x1', '3024.bq1', '3024.br1', '3024.cg1'], 'contains': ['12096.x2', '12096.x1', '12096.x6', '12096.x7', '12096.bh1', '12096.bh2', '12096.bi1', '12096.bi2', '12096.cl1', '12096.cl2', '12096.cl3', '12096.cr4', '12096.cr5', '12096.cr8', '12096.da1', '12096.da2', '12096.db2', '12096.ec1', '12096.ei4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5459, -1, 8018, -1], 'generators': [357001369769646, 5160, 362881, 356995142385840, 1307674368001, 40284847], 'label': '387072.a.6048.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '6048.de1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.de1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66249879
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '432.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.c1', '216.a1', '216.b1', '216.c1'], 'contains': ['864.a1', '3024.ci1', '3456.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3257, -1, 2636, -1], 'generators': [5278182555329273, 357001369769646, 40284847, 1307674368001, 356995142748847, 362881, 367920, 7], 'label': '387072.a.432.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '432.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.d1', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66249880
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.de2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.y1', '3024.bp1', '3024.cg1'], 'contains': ['12096.x2', '12096.x3', '12096.x4', '12096.x8', '12096.bh3', '12096.bi3', '12096.cl3', '12096.cr4', '12096.cr6', '12096.cr9', '12096.da1', '12096.da3', '12096.db3', '12096.ec2', '12096.ei5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5544, -1, 8273, -1], 'generators': [357001369769646, 5160, 121, 356995142748840, 40284847, 1307674731001], 'label': '387072.a.6048.de2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '6048.de2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.de2', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249881
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.de3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bp2', '3024.cg1'], 'contains': ['12096.x1', '12096.x3', '12096.x4', '12096.x5', '12096.x6', '12096.x7', '12096.x8', '12096.x9', '12096.bh2', '12096.bh3', '12096.bi4', '12096.bi15', '12096.cl2', '12096.cl3', '12096.cr1', '12096.cr2', '12096.cr3', '12096.cr5', '12096.cr6', '12096.cr7', '12096.cr8', '12096.cr9', '12096.da2', '12096.da3', '12096.da4', '12096.db4', '12096.ec9', '12096.ei1', '12096.ei2', '12096.ei3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5516, -1, 8326, -1], 'generators': [5160, 126, 356995142385847, 357001369769641, 1307674368001, 40284847], 'label': '387072.a.6048.de3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.de3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.de3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249882
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.z1', '3024.bw1', '3024.cg1', '3024.ci1'], 'contains': ['12096.bi2', '12096.bi3', '12096.bi5', '12096.bi7', '12096.bi10', '12096.bi13', '12096.bi15', '12096.bp2', '12096.cr5', '12096.cr7', '12096.cr9', '12096.ct2', '12096.ct3', '12096.ct4', '12096.ct6', '12096.cu2', '12096.db1', '12096.db4', '12096.db5', '12096.ej1', '12096.es1', '12096.es6', '12096.et1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4387, -1, 7990, -1], 'generators': [5160, 362881, 356995142748847, 357001369769641, 1307674368001, 40284847], 'label': '387072.a.6048.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '6048.df1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.df1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249896
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bf1', '3024.v1', '3024.bn2', '3024.cj2'], 'contains': ['12096.dg1', '12096.dg2', '12096.di1', '12096.di3', '12096.do6', '12096.do2', '12096.ds2', '12096.dv2', '12096.ec3', '12096.ex2', '12096.ex3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9413, -1, 9191, -1], 'generators': [357001329847806, 5160, 1307714289846, 362886, 754574702919103, 356995102827007], 'label': '387072.a.6048.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dp1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249883
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.df2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bs1', '3024.bt1', '3024.bu1', '3024.bv1', '3024.bw1', '3024.cg1', '3024.ci1'], 'contains': ['12096.bi1', '12096.bi4', '12096.bi3', '12096.bi6', '12096.bi8', '12096.bi9', '12096.bi11', '12096.bi12', '12096.bi14', '12096.bi15', '12096.bp1', '12096.bp2', '12096.cr1', '12096.cr2', '12096.cr3', '12096.cr4', '12096.cr6', '12096.cr8', '12096.ct1', '12096.ct3', '12096.ct4', '12096.ct5', '12096.ct6', '12096.cu1', '12096.cu2', '12096.db2', '12096.db3', '12096.db4', '12096.db5', '12096.ej2', '12096.ej3', '12096.ej4', '12096.es5', '12096.es6', '12096.et2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4431, -1, 8004, -1], 'generators': [357001369769646, 1307674368001, 356995142748840, 362881, 5160, 40284847], 'label': '387072.a.6048.df2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.df2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.df2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249884
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.ba1', '3024.ca1'], 'contains': ['12096.dc1', '12096.el1', '12096.em1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1827, -1, 3516, -1], 'generators': [357001369769646, 121, 754568436344263, 356995102464000, 1307674368001, 4540245191228302], 'label': '387072.a.6048.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.t1', 'old_label': '6048.dg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dg1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249885
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bx1', '3024.cd1', '3024.ch1'], 'contains': ['12096.cm2', '12096.cm1', '12096.co1', '12096.cp2', '12096.cp1', '12096.dc1', '12096.dd2', '12096.ek1', '12096.eo1', '12096.eq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2481, -1, 5221, -1], 'generators': [357001369769646, 121, 1108948190072263, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.6048.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.dh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dh1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249886
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bx1', '3024.cf1', '3024.ch1'], 'contains': ['12096.cp2', '12096.cp1', '12096.cq1', '12096.dd2', '12096.ep1', '12096.er1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3229, -1, 6083, -1], 'generators': [357001369769646, 121, 754574702919096, 40279687, 356995102464000, 1307674368001], 'label': '387072.a.6048.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.di1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.di1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249887
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bb1', '3024.cg1', '3024.ci1'], 'contains': ['12096.bi8', '12096.bi9', '12096.bi11', '12096.bi13', '12096.bn1', '12096.bn3', '12096.cr2', '12096.cr4', '12096.cr5', '12096.cr6', '12096.cr9', '12096.ct5', '12096.ct6', '12096.da2', '12096.da3', '12096.da4', '12096.db1', '12096.db5', '12096.dd2', '12096.es2', '12096.et1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4793, -1, 7962, -1], 'generators': [5160, 126, 356995142748847, 357001369769641, 1307674368001, 40284847], 'label': '387072.a.6048.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '6048.dj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dj1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249888
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bx1', '3024.cg1', '3024.ci1'], 'contains': ['12096.bi5', '12096.bi6', '12096.bi7', '12096.bi10', '12096.bi12', '12096.bi14', '12096.bn2', '12096.bn3', '12096.cr1', '12096.cr3', '12096.cr4', '12096.cr6', '12096.cr7', '12096.cr8', '12096.cr9', '12096.ct2', '12096.ct1', '12096.ct3', '12096.ct4', '12096.da1', '12096.da2', '12096.da3', '12096.da4', '12096.db5', '12096.dd1', '12096.dd2', '12096.es3', '12096.es4', '12096.et2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4892, -1, 7976, -1], 'generators': [357001369769646, 1307674368001, 356995142748840, 121, 5160, 40284847], 'label': '387072.a.6048.dj2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '6048.dj2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dj2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66249889
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.by1', '3024.bz1', '3024.ca1', '3024.cc2', '3024.cc1', '3024.cd1'], 'contains': ['12096.bj1', '12096.bl1', '12096.cs1', '12096.cw1', '12096.cy1', '12096.dc1', '12096.de1', '12096.eu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2021, -1, 4826, -1], 'generators': [1307674368006, 754574702924137, 362886, 356995102464000, 357001369769641, 40279680], 'label': '387072.a.6048.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.dk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dk1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249890
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '432.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.d1', '216.a1'], 'contains': ['864.a1', '3024.ck1', '27648.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [3173, -1, 2529, -1], 'generators': [5160, 1307674368006, 1110235220680312, 1876150242506160, 126, 356995142385840, 39921840, 357001369406646], 'label': '387072.a.432.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.a1', 'old_label': '432.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.e1', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66249891
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.by1', '3024.bz1', '3024.cb1', '3024.cc2', '3024.cc1', '3024.ce1'], 'contains': ['12096.bk1', '12096.bm1', '12096.cx1', '12096.cz1', '12096.de1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2428, -1, 5330, -1], 'generators': [1307674368006, 754574702919096, 362886, 356995102464000, 357001369769641, 40279680], 'label': '387072.a.6048.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '6048.dl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dl1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66249892
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.cc2', '3024.cc1', '3024.cd1', '3024.ce1', '3024.cf1', '3024.cg1', '3024.ci1'], 'contains': ['12096.bo1', '12096.bo2', '12096.bp1', '12096.bp2', '12096.ct2', '12096.ct1', '12096.ct3', '12096.ct4', '12096.ct5', '12096.ct6', '12096.da1', '12096.da2', '12096.da3', '12096.da4', '12096.db2', '12096.db3', '12096.db4', '12096.dd1', '12096.dd2', '12096.de1', '12096.ev1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3885, -1, 7367, -1], 'generators': [357001369769646, 5160, 362881, 356995142748847, 1307674368001, 40284847], 'label': '387072.a.6048.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '6048.dm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dm1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66249893
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bc1', '2016.bd1', '2016.be1', '3024.ch1', '3024.ci1'], 'contains': ['12096.bq1', '12096.cu1', '12096.cu2', '12096.db1', '12096.db5', '12096.dd1', '12096.dd2', '12096.de1', '12096.ew1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [3091, -1, 6205, -1], 'generators': [357001369769646, 5160, 121, 356995142748847, 1307674368001, 40284847], 'label': '387072.a.6048.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '6048.dn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dn1', 'subgroup_fusion': None, 'weyl_group': '18.3'}
  • id: 66249894
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.m1'], 'contains': ['12096.dj2', '12096.dj1', '12096.dk1', '12096.dl1', '12096.dn1', '12096.do4', '12096.do1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3146, -1, 6257, -1], 'generators': [4894618717935377, 357001329852726, 356995142748840, 754574702919103, 40284721, 1307674368001], 'label': '387072.a.6048.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.m1', 'old_label': '6048.do1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.do1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66249895
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.do2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.m1'], 'contains': ['12096.dj2', '12096.dj1', '12096.dk1', '12096.dl1', '12096.dn2', '12096.do5', '12096.do2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3158, -1, 6227, -1], 'generators': [1307714652846, 754574702919096, 4538937516860182, 5046, 356995102827007, 357001329489961], 'label': '387072.a.6048.do2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.m1', 'old_label': '6048.do2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.do2', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66249947
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.h2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bb1', '4032.f2', '4032.n1', '4032.n2'], 'contains': ['16128.i2', '16128.be1', '16128.bk1', '24192.t2', '32256.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6426, -1, 1537, -1], 'generators': [39921961, 1307714652846, 357001329852726, 356995102827000, 1866299404418334], 'label': '387072.a.8064.h2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.h2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.h2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249897
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.v1', '3024.bn1', '3024.cj2'], 'contains': ['12096.dg1', '12096.di1', '12096.di2', '12096.do5', '12096.do3', '12096.ds1', '12096.dv1', '12096.ec5', '12096.ex1', '12096.ex3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9431, -1, 9148, -1], 'generators': [121, 1307714652846, 367920, 754574702919096, 356995102827007, 357001329847801], 'label': '387072.a.6048.dp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dp2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249898
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dp3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.v1', '3024.bn2', '3024.cj1'], 'contains': ['12096.dg2', '12096.di3', '12096.di4', '12096.do4', '12096.do3', '12096.ds1', '12096.dv1', '12096.ec6', '12096.ex2', '12096.ex4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9454, -1, 9233, -1], 'generators': [121, 367920, 754574702919096, 356995102827007, 357001329847801, 1307714289841], 'label': '387072.a.6048.dp3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dp3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dp3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249899
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dp4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.v1', '3024.bn2', '3024.cj2'], 'contains': ['12096.dg1', '12096.dg2', '12096.di2', '12096.di4', '12096.do6', '12096.do1', '12096.ds2', '12096.dv2', '12096.ec7', '12096.ex1', '12096.ex4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9395, -1, 9276, -1], 'generators': [357001329847806, 5160, 362886, 754574702919103, 356995102827007, 1307714652841], 'label': '387072.a.6048.dp4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dp4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dp4', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249900
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bg1', '3024.x1', '3024.bn2', '3024.cj2'], 'contains': ['12096.dh1', '12096.dh2', '12096.di2', '12096.di4', '12096.dt2', '12096.dw3', '12096.ec3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5805, -1, 8309, -1], 'generators': [357001329847806, 5160, 1307714289846, 362886, 356995102827007, 1108948190072382], 'label': '387072.a.6048.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dq1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249901
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.b1'], 'contains': ['1008.d1', '1008.k2', '1008.k1', '1512.b1', '2016.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3182, -1, 2456, -1], 'generators': [6384314347482550, 367920, 355687428096001, 1864985502671568, 40284726, 355693695401647, 1864918132387183, 4124652952095055, 363007], 'label': '387072.a.504.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.a1', 'old_label': '504.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.a1', 'subgroup_fusion': None, 'weyl_group': '384.5786'}
  • id: 66249902
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.x1', '3024.bn1', '3024.cj2'], 'contains': ['12096.dh1', '12096.di1', '12096.di2', '12096.dt1', '12096.dw2', '12096.ec5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6331, -1, 8569, -1], 'generators': [121, 1307714652846, 367920, 356995102827007, 357001329847801, 1108948190077423], 'label': '387072.a.6048.dq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dq2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dq2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249903
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dq3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.x1', '3024.bn2', '3024.cj1'], 'contains': ['12096.dh2', '12096.di3', '12096.di4', '12096.dt1', '12096.dw2', '12096.ec6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6323, -1, 8624, -1], 'generators': [121, 367920, 356995102827007, 357001329847801, 1108948190077423, 1307714289841], 'label': '387072.a.6048.dq3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dq3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dq3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249904
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dq4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.x1', '3024.bn2', '3024.cj2'], 'contains': ['12096.dh1', '12096.dh2', '12096.di1', '12096.di3', '12096.dt2', '12096.dw3', '12096.ec7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5813, -1, 8290, -1], 'generators': [357001329847806, 5160, 362886, 356995102827007, 1108948190072382, 1307714652841], 'label': '387072.a.6048.dq4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dq4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dq4', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249905
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bs1'], 'contains': ['12096.df3', '12096.df1', '12096.ds3', '12096.dt3', '12096.dx2', '12096.dx4', '12096.dz1', '12096.ea1', '12096.ef1', '12096.eh1', '12096.ej2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3731, -1, 7072, -1], 'generators': [754574702924016, 362886, 356995102464000, 357001329847801, 1307714652841, 5167], 'label': '387072.a.6048.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.dr1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dr1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249906
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dr2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bs1', '3024.cj1', '3024.cj2'], 'contains': ['12096.df2', '12096.dg2', '12096.dh2', '12096.ds1', '12096.dt1', '12096.dx2', '12096.dx3', '12096.dy1', '12096.eb1', '12096.ee2', '12096.ej3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4109, -1, 7396, -1], 'generators': [362886, 356995102827007, 40279680, 1307674368001, 1108948190072382, 357001369406646], 'label': '387072.a.6048.dr2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dr2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dr2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249907
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dr3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bs1', '3024.cj2'], 'contains': ['12096.df4', '12096.dg1', '12096.dh1', '12096.ds2', '12096.dt2', '12096.dx1', '12096.dx4', '12096.dy1', '12096.eb1', '12096.ee1', '12096.ej4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3957, -1, 7439, -1], 'generators': [362886, 356995102827007, 40279680, 1108948190077423, 357001369406646, 1307714652841], 'label': '387072.a.6048.dr3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dr3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dr3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249908
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.bu1'], 'contains': ['12096.du1', '12096.dw1', '12096.ea1', '12096.eg2', '12096.eg1', '12096.ej2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2842, -1, 5948, -1], 'generators': [362886, 356995102464000, 357001329847801, 1108948190077423, 1307714652841, 5167], 'label': '387072.a.6048.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.ds1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ds1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249909
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bv1', '3024.cj1', '3024.cj2'], 'contains': ['12096.di3', '12096.di4', '12096.dv1', '12096.dw2', '12096.eb1', '12096.ej3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6315, -1, 8851, -1], 'generators': [362886, 356995102827007, 40279680, 1108948190077423, 1307674368001, 357001369406646], 'label': '387072.a.6048.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dt1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249910
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dt2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bv1', '3024.cj2'], 'contains': ['12096.di1', '12096.di2', '12096.dv2', '12096.dw3', '12096.eb1', '12096.ej4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6246, -1, 8663, -1], 'generators': [362886, 1307714652841, 357001369406646, 1108948190072382, 356995102827007, 40279680], 'label': '387072.a.6048.dt2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dt2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dt2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249911
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bh1', '3024.bc1', '3024.bn1', '3024.cj1'], 'contains': ['12096.dm2', '12096.ds1', '12096.dw2', '12096.en1', '12096.es1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3864, -1, 6720, -1], 'generators': [121, 367920, 356995102827007, 357001329847801, 1108948190077423, 1307674731001], 'label': '387072.a.6048.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '6048.du1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.du1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249912
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.b1'], 'contains': ['1008.a1', '1008.b1', '1008.c1', '1008.l1', '1008.l2', '1008.l3', '1008.m1', '1512.e1', '2016.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3094, -1, 1970, -1], 'generators': [6384314347482550, 367920, 1864918092470382, 355687428096001, 1864985502671568, 40284726, 355693695401647, 363007, 4124652992374735], 'label': '387072.a.504.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '504.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.b1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66249913
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.du2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bc1', '3024.bn2', '3024.cj2'], 'contains': ['12096.dm1', '12096.dm4', '12096.dm3', '12096.ds1', '12096.ds2', '12096.dw2', '12096.dw3', '12096.en2', '12096.es5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3418, -1, 6762, -1], 'generators': [357001329847806, 5160, 362886, 356995102827007, 1307674368001, 1108948190072382], 'label': '387072.a.6048.du2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.du2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.du2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249914
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.du3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bc1', '3024.bo1', '3024.bx1'], 'contains': ['12096.dm1', '12096.dm2', '12096.dm4', '12096.dm3', '12096.ds3', '12096.dw1', '12096.eo1', '12096.er1', '12096.es3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3355, -1, 6176, -1], 'generators': [5160, 121, 1307674731006, 357001329484801, 356995102464000, 1108948190077423], 'label': '387072.a.6048.du3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.du3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.du3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249915
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bi1', '3024.be1', '3024.bn1', '3024.cj1'], 'contains': ['12096.dt1', '12096.dv1', '12096.es1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [6219, -1, 8068, -1], 'generators': [121, 367920, 754574702919096, 356995102827007, 357001329847801, 1307674731001], 'label': '387072.a.6048.dv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '6048.dv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dv1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249916
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.be1', '3024.bn2', '3024.cj2'], 'contains': ['12096.dt1', '12096.dt2', '12096.dv1', '12096.dv2', '12096.es5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6144, -1, 8478, -1], 'generators': [357001329847806, 5160, 362886, 754574702919103, 356995102827007, 1307674368001], 'label': '387072.a.6048.dv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '6048.dv2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dv2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249917
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bf1', '3024.bo1', '3024.bx1'], 'contains': ['12096.dt3', '12096.du1', '12096.ep1', '12096.eq1', '12096.es3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3368, -1, 6435, -1], 'generators': [5160, 121, 1307674731006, 754574702919096, 357001329484801, 356995102464000], 'label': '387072.a.6048.dw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.dw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249918
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bs1', '3024.bx1', '3024.ck1'], 'contains': ['12096.dp2', '12096.dp1', '12096.dq1', '12096.dr1', '12096.ee1', '12096.ee2', '12096.ef1', '12096.eh1', '12096.eo1', '12096.ep1', '12096.et2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3557, -1, 6404, -1], 'generators': [5160, 121, 754574702919096, 357001329484801, 356995102464000, 1307714289841], 'label': '387072.a.6048.dx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.dx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249919
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bu1', '3024.bx1', '3024.ck1'], 'contains': ['12096.dr1', '12096.eg2', '12096.eg1', '12096.eq1', '12096.er1', '12096.et2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2810, -1, 5847, -1], 'generators': [5160, 121, 357001329484801, 1110262131377983, 356995102464000, 1307714289841], 'label': '387072.a.6048.dy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.dy1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dy1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249920
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bj1', '2016.bl1', '3024.bw1', '3024.cj1'], 'contains': ['12096.ec6', '12096.ej3', '12096.es1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [6226, -1, 8552, -1], 'generators': [5160, 1307674368006, 362886, 356995142748840, 40284847, 357001369406646], 'label': '387072.a.6048.dz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '6048.dz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dz1', 'subgroup_fusion': None, 'weyl_group': '54.6'}
  • id: 66249921
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.dz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bk1', '3024.bw1', '3024.cj2'], 'contains': ['12096.ec3', '12096.ec4', '12096.ec5', '12096.ec7', '12096.ec8', '12096.ec10', '12096.ec11', '12096.ej1', '12096.ej2', '12096.ej3', '12096.ej4', '12096.es5', '12096.es6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6134, -1, 8835, -1], 'generators': [5160, 362881, 357001369406641, 356995142748840, 1307674368001, 40284847], 'label': '387072.a.6048.dz2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '6048.dz2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.dz2', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249922
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ea1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bm1', '3024.ca1'], 'contains': ['12096.el1', '12096.em1', '12096.eu1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1906, -1, 3745, -1], 'generators': [121, 4895932659241102, 39916920, 356995102464000, 754568476261062, 1307674368001], 'label': '387072.a.6048.ea1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.t1', 'old_label': '6048.ea1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ea1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66249923
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1', '252.b1', '252.c1'], 'contains': ['1512.k1', '2016.f1', '2016.g1', '2016.j1', '2016.p1', '2016.q1', '2016.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [3263, -1, 1141, -1], 'generators': [1509230664374262, 1864985502671568, 4124652952095055, 121, 5167, 355693695401647, 355687468380841, 40284847, 363000], 'label': '387072.a.504.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '504.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.c1', 'subgroup_fusion': None, 'weyl_group': '1536.408527554'}
  • id: 66249924
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.eb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.cd1', '3024.ck1'], 'contains': ['12096.ed2', '12096.ed1', '12096.ef1', '12096.eg2', '12096.eg1', '12096.ek1', '12096.eo1', '12096.eq1', '12096.eu1', '12096.ev1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2463, -1, 5263, -1], 'generators': [754574702924016, 1307674368006, 362886, 356995102464000, 40279680, 357001369406646], 'label': '387072.a.6048.eb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.eb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.eb1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249925
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ec1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3024.bo1', '3024.cf1', '3024.ck1'], 'contains': ['12096.eg2', '12096.eg1', '12096.eh1', '12096.ep1', '12096.er1', '12096.ev1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3278, -1, 6103, -1], 'generators': [1307674368006, 362886, 356995102464000, 40279680, 1108948190077423, 357001369406646], 'label': '387072.a.6048.ec1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '6048.ec1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ec1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66249926
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ed1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bn1', '3024.bg1', '3024.bw1', '3024.cg1'], 'contains': ['12096.ei1', '12096.ei2', '12096.ei3', '12096.ei4', '12096.ei5', '12096.es1', '12096.es2', '12096.es3', '12096.es4', '12096.es5', '12096.es6', '12096.et1', '12096.et2', '12096.ev1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [4665, -1, 7921, -1], 'generators': [5160, 121, 357001369406641, 356995142748840, 1307674368001, 40284840], 'label': '387072.a.6048.ed1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '6048.ed1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ed1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66249927
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ee1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bo1', '2016.bp1', '3024.bc1', '3024.ch1', '3024.ck1'], 'contains': ['12096.en1', '12096.en2', '12096.eo1', '12096.er1', '12096.ew1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3075, -1, 5796, -1], 'generators': [5160, 121, 357001329484801, 356995102464000, 1108948190077423, 1307674368001], 'label': '387072.a.6048.ee1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '6048.ee1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ee1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249928
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.ef1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bq1', '2016.br1', '3024.bf1', '3024.ch1', '3024.ck1'], 'contains': ['12096.ep1', '12096.eq1', '12096.ew1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2834, -1, 5612, -1], 'generators': [5160, 121, 754574702919096, 357001329484801, 356995102464000, 1307674368001], 'label': '387072.a.6048.ef1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '6048.ef1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.ef1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66249929
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6048.eg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['864.a1', '2016.bs1', '3024.bg1', '3024.ci1', '3024.ck1'], 'contains': ['12096.et1', '12096.et2', '12096.ev1', '12096.ew1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3611, -1, 6531, -1], 'generators': [5160, 121, 357001369406641, 356995142385840, 1307674368001, 39921840], 'label': '387072.a.6048.eg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '6048.eg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6048.eg1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 66249930
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6912.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.a1', '2304.a1'], 'contains': ['13824.a1', '13824.b1', '13824.c1', '48384.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [391, -1, 238, -1], 'generators': [357001369769646, 1110235221038152, 1877457917232127, 362881], 'label': '387072.a.6912.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '6912.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6912.a1', 'subgroup_fusion': None, 'weyl_group': '84.7'}
  • id: 66249931
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6912.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['864.a1', '2304.b1', '3456.a1', '3456.a2', '3456.c1'], 'contains': ['48384.cg1', '55296.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [2956, -1, 2202, -1], 'generators': [1307674735921, 356995102826886, 5635177617508438, 357001329489840], 'label': '387072.a.6912.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '6912.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6912.b1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249932
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '6912.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['768.a1', '2304.c1', '3456.b1'], 'contains': ['48384.ch1', '55296.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1152, 'diagramx': [313, -1, 25, -1], 'generators': [5633863716119633, 4127382519326656, 1110255864077376, 4894618717935496], 'label': '387072.a.6912.c1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1152.b1', 'old_label': '6912.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6912.c1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66249933
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '7168.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['112.a1', '256.a1', '1792.a1'], 'contains': ['14336.a1', '21504.b1', '21504.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 7168, 'diagramx': [9945, -1, 9867, -1], 'generators': [6389887356916265, 8375731632120, 5642259565864297, 6392629765630663], 'label': '387072.a.7168.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7168.a1', 'old_label': '7168.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7168.a1', 'subgroup_fusion': None, 'weyl_group': '54.6'}
  • id: 66249934
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.b1', '252.d1'], 'contains': ['1008.e1', '1008.e2', '1008.f1', '1008.g1', '1008.j1', '1512.m1', '2016.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3165, -1, 2137, -1], 'generators': [5160, 121, 1864985502671568, 355693695401647, 6028626919391590, 355687468380846, 7, 40284847, 363000], 'label': '387072.a.504.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '504.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.d1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66249935
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.b1', '4032.p1'], 'contains': ['16128.a1', '16128.b1', '16128.c1', '16128.h1', '16128.h2', '24192.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3065, -1, 358, -1], 'generators': [39921961, 367920, 1864985502671568, 355693695401647, 6028620732287590], 'label': '387072.a.8064.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '8064.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249936
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.c1', '4032.p1'], 'contains': ['16128.a1', '16128.d1', '16128.e1', '24192.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [6177, -1, 1065, -1], 'generators': [39921961, 367920, 1864985502671568, 355693695401647, 6385622021850665], 'label': '387072.a.8064.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '8064.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249937
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.d1', '4032.p1'], 'contains': ['16128.b1', '16128.e1', '16128.f1', '16128.ba1', '16128.bb1', '24192.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9606, -1, 1120, -1], 'generators': [6029928406287785, 367920, 1864985502666529, 357001329484806, 1307714652841], 'label': '387072.a.8064.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '8064.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249938
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.e1', '4032.p1'], 'contains': ['16128.c1', '16128.d1', '16128.f1', '24192.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3040, -1, 522, -1], 'generators': [367920, 1864985502666529, 6384314347124710, 357001329484806, 1307714652841], 'label': '387072.a.8064.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '8064.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249939
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bb1', '4032.o1', '4032.v1'], 'contains': ['16128.g1', '16128.t1', '16128.v1', '24192.q1', '32256.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4914, -1, 792, -1], 'generators': [40279801, 356995102831920, 357001329852726, 1307674735926, 1509304341871135], 'label': '387072.a.8064.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.e1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249940
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.cv1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.a1', '2016.k1', '4032.a1', '4032.b1', '4032.c1', '4032.d1', '4032.e1', '4032.f1', '4032.r2'], 'contains': ['16128.i1', '16128.q1', '16128.s2', '24192.r1', '32256.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [6379, -1, 1946, -1], 'generators': [1307674731006, 1866299444335128, 126, 357001369764481, 356995142743680], 'label': '387072.a.8064.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '8064.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.f1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249941
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.f2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.k1', '4032.e2', '4032.f2', '4032.r2'], 'contains': ['16128.i2', '16128.q2', '16128.s2', '24192.r2', '32256.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6446, -1, 1793, -1], 'generators': [1307714647686, 39916806, 1510611976322335, 356995142743687, 357001329847801], 'label': '387072.a.8064.f2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.f2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.f2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249942
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.f3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.k1', '4032.h1', '4032.r1', '4032.v1'], 'contains': ['16128.g1', '16128.s1', '16128.y1', '24192.r3', '32256.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4986, -1, 897, -1], 'generators': [39916927, 355687428096006, 355693655116800, 1307674730880, 1510612016239134], 'label': '387072.a.8064.f3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.f3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.f3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249943
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.f1', '2016.g1', '2016.j1', '4032.h1', '4032.o1', '4032.w1'], 'contains': ['16128.g1', '16128.v1', '16128.z1', '24192.s1', '32256.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3442, -1, 578, -1], 'generators': [39921961, 1307674368006, 1866293216956368, 356995102464000, 357001329484806], 'label': '387072.a.8064.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249944
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.g2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.j2', '4032.h1', '4032.o1', '4032.w1'], 'contains': ['16128.g1', '16128.v1', '16128.z1', '24192.s2', '32256.c2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3546, -1, 605, -1], 'generators': [40279801, 1307674368006, 356995102464000, 1509304341871135, 357001329484806], 'label': '387072.a.8064.g2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.g2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.g2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249945
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['126.a1', '252.d1'], 'contains': ['1008.h1', '1008.i1', '1008.j1', '1512.n1', '2016.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4738, -1, 2356, -1], 'generators': [5160, 121, 6385615834383665, 1864985502671568, 355693695401647, 355687468380846, 7, 40284847, 363000], 'label': '387072.a.504.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '504.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.e1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66249946
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bb1', '4032.f1', '4032.n1', '4032.n3'], 'contains': ['16128.i1', '16128.be1', '16128.bk2', '24192.t1', '32256.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6404, -1, 1483, -1], 'generators': [40279801, 1307714652846, 357001329852726, 1866293216956368, 356995102469160], 'label': '387072.a.8064.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.h1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249949
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.f1', '2016.p1', '2016.q1', '4032.j1'], 'contains': ['16128.j1', '16128.bg1', '24192.z1', '32256.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3197, -1, 179, -1], 'generators': [40279801, 3768965564273695, 1864985502671568, 1864924359765817, 355693695401647], 'label': '387072.a.8064.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.j1', 'old_label': '8064.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.i1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249950
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.g1', '2016.p1', '2016.q1', '4032.i1'], 'contains': ['16128.k1', '24192.bc1', '32256.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [1864, -1, 240, -1], 'generators': [40279801, 1864918092828222, 3768959337257814, 1864985502671568, 355693695401647], 'label': '387072.a.8064.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.i1', 'old_label': '8064.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.j1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249951
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.f1', '2016.g1', '2016.p1', '2016.r1'], 'contains': ['16128.bh1', '24192.bd1', '32256.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [3253, -1, 2151, -1], 'generators': [40279801, 3768959296978134, 1864985502671568, 1864918132745023, 355693695401647], 'label': '387072.a.8064.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.k1', 'old_label': '8064.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.k1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249952
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.h1', '2016.m1', '2016.o1', '4032.a1', '4032.l1', '4032.l2'], 'contains': ['16128.i1', '16128.bi1', '24192.bg1', '32256.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3209, -1, 2029, -1], 'generators': [1509298074570528, 6028626959308510, 40284726, 355693695401647, 355687428463921], 'label': '387072.a.8064.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.b1', 'old_label': '8064.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.l1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249953
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.i1', '2016.l1', '2016.n1', '4032.b1', '4032.l1', '4032.l2'], 'contains': ['16128.i1', '24192.bi1', '32256.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [2290, -1, 1978, -1], 'generators': [1509298074570528, 40284726, 355693695401647, 355687428463921, 6384314347124710], 'label': '387072.a.8064.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.b1', 'old_label': '8064.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.m1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249954
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1152.a1', '2016.j1', '2016.q1', '2016.r1', '4032.e1', '4032.l1', '4032.n1'], 'contains': ['16128.i1', '16128.bk1', '24192.bk1', '32256.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [3428, -1, 1820, -1], 'generators': [39921961, 1864991769609168, 1307714284926, 356995102469160, 357001329484806], 'label': '387072.a.8064.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '8064.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.n1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249955
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1152.a2', '2016.j2', '4032.e2', '4032.n1', '4032.n2'], 'contains': ['16128.i2', '16128.bk1', '16128.bk2', '24192.bk2', '32256.c2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6089, -1, 1644, -1], 'generators': [40279801, 1307714647686, 356995142380920, 1509304301954334, 357001329484806], 'label': '387072.a.8064.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.n2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.n2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249956
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.a1', '252.d1'], 'contains': ['1008.f1', '1008.h1', '1008.n1', '1008.q1', '1008.z1', '1512.o1', '2016.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4793, -1, 2287, -1], 'generators': [1866299444335135, 121, 367920, 356995142385847, 6028626919391590, 7, 40284847, 357001369406646, 1307674731001], 'label': '387072.a.504.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '504.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.f1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66249957
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.n3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.j1', '2016.p1', '4032.e2', '4032.n2', '4032.n3'], 'contains': ['16128.i2', '16128.bk2', '16128.bk3', '24192.bk3', '32256.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6077, -1, 1376, -1], 'generators': [39921961, 1307674373166, 356995142385840, 1509298074575569, 357001329484806], 'label': '387072.a.8064.n3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.n3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.n3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249958
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.n4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.j2', '2016.p2', '4032.e1', '4032.l2', '4032.n3'], 'contains': ['16128.i1', '16128.bk3', '24192.bk4', '32256.c2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [3378, -1, 1767, -1], 'generators': [40279801, 1307674731006, 356995142743680, 1866299404418334, 357001329484806], 'label': '387072.a.8064.n4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '8064.n4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.n4', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249959
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.o1', '4032.i1'], 'contains': ['16128.k1', '24192.bl1', '32256.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [1833, -1, 282, -1], 'generators': [3768959337257814, 1864985503034449, 355693695401647, 1864918132382023, 6028620692002864], 'label': '387072.a.8064.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.i1', 'old_label': '8064.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.o1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249960
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.n1', '4032.i1'], 'contains': ['16128.k1', '24192.bm1', '32256.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [1700, -1, 323, -1], 'generators': [3768959337257814, 1864985503034449, 355693695401647, 1864918132382023, 6384314347124710], 'label': '387072.a.8064.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.i1', 'old_label': '8064.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.p1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249961
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.p2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.n1', '4032.j1'], 'contains': ['16128.j1', '24192.bm2', '32256.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [2242, -1, 210, -1], 'generators': [6384314347482550, 1509230664374262, 4124646725074128, 1864985503034449, 355693695401647], 'label': '387072.a.8064.p2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.j1', 'old_label': '8064.p2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.p2', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249962
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1152.b1', '2016.o1', '4032.j1'], 'contains': ['16128.j1', '16128.bl1', '24192.bo1', '32256.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [3103, -1, 74, -1], 'generators': [1509230664374262, 4124646725074128, 1864985503034449, 6028620692370784, 355693695401647], 'label': '387072.a.8064.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.j1', 'old_label': '8064.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.q1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249963
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.s1', '4032.m1', '4032.n2', '4032.r2'], 'contains': ['16128.i2', '16128.q1', '24192.br1', '32256.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [5171, -1, 1913, -1], 'generators': [1307674373166, 1864985503034449, 357001369764481, 356995142385840, 368046], 'label': '387072.a.8064.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '8064.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.r1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249964
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.r2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.s1', '4032.n1', '4032.n3', '4032.r2'], 'contains': ['16128.i1', '16128.i2', '16128.q2', '24192.br2', '32256.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5369, -1, 1740, -1], 'generators': [1307714647686, 1864985503034449, 40284726, 356995142385847, 357001329489961], 'label': '387072.a.8064.r2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.r2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.r2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249965
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.s1', '4032.o1', '4032.r1', '4032.w1'], 'contains': ['16128.g1', '16128.y1', '24192.bw1', '32256.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [3560, -1, 711, -1], 'generators': [367920, 1307714289967, 355687428096006, 355693655116800, 1866299404418334], 'label': '387072.a.8064.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.s1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249966
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.t1', '2688.a1', '4032.p1'], 'contains': ['16128.b1', '16128.d1', '16128.m1', '16128.n1', '16128.w1', '24192.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [4391, -1, 402, -1], 'generators': [367920, 355693695401647, 1307674730880, 1864985502666529, 6028620692002864], 'label': '387072.a.8064.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '8064.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.t1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249967
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '28.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['56.a1', '84.a1', '84.b1', '112.a1', '1792.a1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [7779, -1, 9861, -1], 'generators': [5643567240227136, 1307674368001, 6036942337539703, 7, 8375691352321, 363000, 5160, 6035513869768025, 357001369769646, 121, 40284847, 356995142748847], 'label': '387072.a.28.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '28.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.a1', 'subgroup_fusion': None, 'weyl_group': '13824.s'}
  • id: 66249968
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.a1', '252.e1'], 'contains': ['1008.s1', '1008.bb1', '1512.o1', '2016.u1', '2016.bf1', '2016.bp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5902, -1, 8075, -1], 'generators': [1869021652780816, 3377019112168608, 367920, 1307674731001, 357001369406646, 356995142385847, 362881, 40284847, 7], 'label': '387072.a.504.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '504.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.g1', 'subgroup_fusion': None, 'weyl_group': '2304.fd'}
  • id: 66249969
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.u1', '2688.a1', '4032.q1'], 'contains': ['16128.p1', '16128.x1', '24192.bx1', '32256.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5294, -1, 5642, -1], 'generators': [3377019152085535, 1307674368120, 39916920, 355693695401647, 1869021652780816], 'label': '387072.a.8064.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '8064.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.u1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249970
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.v1', '2688.b1', '4032.p1'], 'contains': ['16128.c1', '16128.e1', '16128.n1', '24192.by1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [2754, -1, 828, -1], 'generators': [367920, 355693695401647, 1307674730880, 1864985502666529, 6384314347124710], 'label': '387072.a.8064.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '8064.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.v1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66249971
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.w1', '2688.b1', '4032.q1'], 'contains': ['16128.p1', '24192.by1', '32256.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5238, -1, 7260, -1], 'generators': [1307674368120, 39916920, 3022639358440734, 355693695401647, 1513334224689982], 'label': '387072.a.8064.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '8064.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.w1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249972
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.x1', '2016.bc1', '2688.c1', '4032.p1'], 'contains': ['16128.a1', '16128.f1', '16128.l1', '16128.n1', '16128.r1', '24192.bz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [6025, -1, 447, -1], 'generators': [39921961, 367920, 1864985502671568, 357001329484806, 1307714652841], 'label': '387072.a.8064.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '8064.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.x1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66249973
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bd1', '2688.c1', '4032.v1'], 'contains': ['16128.o1', '16128.s1', '16128.t1', '24192.bz1', '32256.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5149, -1, 963, -1], 'generators': [39916927, 1509304341508254, 356995142748847, 357001369769641, 1307714652841], 'label': '387072.a.8064.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '8064.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.y1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249974
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.y1', '2016.be1', '2688.c1', '4032.q1'], 'contains': ['16128.p1', '16128.u1', '24192.bz1', '32256.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5250, -1, 7281, -1], 'generators': [3022645625015455, 356995142380920, 362886, 357001369769641, 1307714284926], 'label': '387072.a.8064.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '8064.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.z1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66249975
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.z1', '4032.s1', '4032.v1', '4032.w1'], 'contains': ['16128.o1', '16128.v1', '16128.y1', '24192.ca1', '32256.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5059, -1, 765, -1], 'generators': [40279801, 356995142748847, 357001369769641, 1509304341871135, 1307714652841], 'label': '387072.a.8064.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.ba1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249976
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.ba1', '2016.bb1', '4032.v1', '4032.w1'], 'contains': ['16128.g1', '16128.o1', '16128.z1', '24192.cb1', '32256.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4997, -1, 678, -1], 'generators': [1864985502671568, 5046, 356995142748847, 357001369769641, 1307714652841], 'label': '387072.a.8064.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bb1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249977
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bh1', '4032.a1', '4032.m1', '4032.y1'], 'contains': ['16128.q1', '16128.bi1', '24192.ch1', '32256.i1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4768, -1, 2096, -1], 'generators': [1864991769604129, 355687468380727, 367920, 6028620732287590, 355693655116921], 'label': '387072.a.8064.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.t1', 'old_label': '8064.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bc1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249978
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bi1', '4032.c1', '4032.m1', '4032.y1'], 'contains': ['16128.q1', '24192.cj1', '32256.j1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4752, -1, 2121, -1], 'generators': [1864991769604129, 355687468380727, 367920, 6385622021850665, 355693655116921], 'label': '387072.a.8064.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.t1', 'old_label': '8064.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bd1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249979
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.b1', '252.d1'], 'contains': ['1008.g1', '1008.i1', '1008.q1', '1512.p1', '2016.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4585, -1, 2099, -1], 'generators': [1866299444335135, 121, 367920, 6385615834383665, 356995142385847, 7, 40284847, 357001369406646, 1307674731001], 'label': '387072.a.504.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '504.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.h1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66249980
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bn1', '4032.e1', '4032.n2', '4032.bc1'], 'contains': ['16128.q1', '16128.bk1', '16128.bk3', '24192.cm1', '32256.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9195, -1, 1563, -1], 'generators': [39921966, 1864985502671568, 356995102469167, 1307714284926, 357001329484806], 'label': '387072.a.8064.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.be1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249981
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.be2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bn1', '4032.e2', '4032.n1', '4032.bc1'], 'contains': ['16128.q2', '16128.bk1', '16128.bk2', '24192.cm2', '32256.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6586, -1, 1617, -1], 'generators': [40279806, 356995102827007, 1307714284926, 1509298114850334, 357001329484806], 'label': '387072.a.8064.be2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.be2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.be2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249982
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.be3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bn1', '4032.e2', '4032.n3', '4032.bc1'], 'contains': ['16128.q2', '16128.bk2', '16128.bk3', '24192.cm3', '32256.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9206, -1, 1456, -1], 'generators': [40279801, 1510611976322335, 1307714284921, 357001329484801, 356995102827007], 'label': '387072.a.8064.be3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.be3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.be3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249983
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1152.c1', '2016.z1', '4032.f2', '4032.n1', '4032.bc1'], 'contains': ['16128.q2', '16128.be1', '16128.bk1', '24192.cr1', '32256.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9276, -1, 1590, -1], 'generators': [40279801, 356995142385847, 1509304301954334, 357001329489961, 1307714652841], 'label': '387072.a.8064.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bf1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249984
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.z1', '4032.f1', '4032.n2', '4032.bc1'], 'contains': ['16128.q1', '16128.be1', '16128.bk2', '24192.cr2', '32256.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9264, -1, 1510, -1], 'generators': [1307714652846, 357001329852726, 40279806, 1510605748943568, 356995102469167], 'label': '387072.a.8064.bf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.bf2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bf2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249985
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bf3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.z1', '4032.f2', '4032.n3', '4032.bc1'], 'contains': ['16128.q2', '16128.be1', '16128.bk3', '24192.cr3', '32256.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9325, -1, 1430, -1], 'generators': [1307714652846, 357001329852726, 39921966, 1864985502671568, 356995102827007], 'label': '387072.a.8064.bf3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.bf3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bf3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249986
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bo1', '4032.a1', '4032.x1', '4032.z1'], 'contains': ['16128.s2', '16128.bi1', '24192.df1', '32256.o1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [4840, -1, 2056, -1], 'generators': [39916806, 355693695033727, 355687428096001, 6028626958940590, 1864991729687454], 'label': '387072.a.8064.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.d1', 'old_label': '8064.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bg1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249987
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.u1', '2016.bf1', '2016.bp1', '4032.ba1'], 'contains': ['16128.u2', '16128.bj1', '24192.de1', '32256.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9592, -1, 6527, -1], 'generators': [367920, 3022639358082894, 355687428096001, 355693655116807, 1869021652780816], 'label': '387072.a.8064.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.ba1', 'old_label': '8064.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bh1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249988
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bq1', '4032.d1', '4032.x1', '4032.z1'], 'contains': ['16128.s2', '24192.di1', '32256.q1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6539, -1, 2302, -1], 'generators': [39916806, 355693695033727, 355687428096001, 6029928406655705, 1864991729687454], 'label': '387072.a.8064.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.d1', 'old_label': '8064.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bi1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249989
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.w1', '2016.bg1', '2016.br1', '4032.ba1'], 'contains': ['16128.u2', '24192.dg1', '32256.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9570, -1, 9716, -1], 'generators': [367920, 355687428096001, 3377019152090569, 355693655116807, 1869021653143816], 'label': '387072.a.8064.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.ba1', 'old_label': '8064.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bj1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66249990
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.b1', '252.e1'], 'contains': ['1008.s1', '1512.p1', '2016.w1', '2016.bg1', '2016.br1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5540, -1, 8097, -1], 'generators': [1867707711843263, 3377019112168608, 367920, 1307674731001, 357001369406646, 356995142385847, 362881, 40284847, 7], 'label': '387072.a.504.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '504.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.i1', 'subgroup_fusion': None, 'weyl_group': '2304.fd'}
  • id: 66249991
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bs1', '4032.e1', '4032.e2', '4032.f2'], 'contains': ['16128.s2', '16128.bk1', '16128.bk3', '24192.dk1', '32256.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6549, -1, 1671, -1], 'generators': [126, 1866293177034654, 1307714284921, 356995102464007, 357001329484806], 'label': '387072.a.8064.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '8064.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bk1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249992
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bs1', '4032.e2', '4032.f1', '4032.x1'], 'contains': ['16128.s2', '16128.bk2', '24192.dk2', '32256.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [6560, -1, 1847, -1], 'generators': [39916806, 356995142380920, 1307714284921, 1864991729687454, 357001329484806], 'label': '387072.a.8064.bk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '8064.bk2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bk2', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249993
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bd1', '4032.f1', '4032.f2', '4032.z1'], 'contains': ['16128.s2', '16128.be1', '24192.do1', '32256.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [6572, -1, 1697, -1], 'generators': [356995102831927, 357001329852726, 126, 1866293177402448, 1307714652841], 'label': '387072.a.8064.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '8064.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bl1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249994
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bj1', '4032.r2', '4032.y1', '4032.bc1'], 'contains': ['16128.q1', '16128.q2', '24192.do2', '32256.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [6471, -1, 2003, -1], 'generators': [367920, 1307674730880, 1510612016239134, 356995102827007, 355693695401640], 'label': '387072.a.8064.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '8064.bm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bm1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66249995
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.y1', '2016.be1', '2016.bk1', '4032.ba1'], 'contains': ['16128.u2', '16128.bf1', '24192.do3', '32256.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9580, -1, 9744, -1], 'generators': [357001329847806, 1307674373161, 121, 3022645625015455, 356995142743687], 'label': '387072.a.8064.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.ba1', 'old_label': '8064.bn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bn1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66249996
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bl1', '4032.u2', '4032.bb1', '4032.bd1'], 'contains': ['24192.do4', '32256.m1', '32256.u1', '32256.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [6612, -1, 9666, -1], 'generators': [1307674373161, 3377025339194448, 362886, 356995102469167, 357001369406646], 'label': '387072.a.8064.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.p1', 'old_label': '8064.bo1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bo1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 66249997
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bn1', '4032.h1', '4032.o1', '4032.s1'], 'contains': ['16128.v1', '16128.y1', '24192.dq1', '32256.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5028, -1, 645, -1], 'generators': [40279801, 356995142380927, 357001369401721, 1307714284921, 1509304341871135], 'label': '387072.a.8064.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.bp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bp1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249998
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bs1', '4032.h1', '4032.v1'], 'contains': ['16128.s1', '16128.v1', '16128.z1', '24192.du1', '32256.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5014, -1, 870, -1], 'generators': [39916927, 362886, 355687428096006, 355693655116800, 1509304341871135], 'label': '387072.a.8064.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.bq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bq1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66249999
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bj1', '2688.d1', '4032.r1', '4032.s1', '4032.bj1'], 'contains': ['16128.y1', '24192.dx1', '32256.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5070, -1, 1145, -1], 'generators': [367920, 355687428096006, 355693655116800, 1307674730880, 1510605788860369], 'label': '387072.a.8064.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '8064.br1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.br1', 'subgroup_fusion': None, 'weyl_group': '36.11'}
  • id: 66250000
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2688.d1', '4032.g1', '4032.t1', '4032.bf1', '4032.bh1', '4032.bi1', '4032.bk1'], 'contains': ['24192.dx1', '32256.l1', '32256.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [5114, -1, 1883, -1], 'generators': [121, 39916920, 355687428096006, 355693655116800, 1509304341508254], 'label': '387072.a.8064.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '8064.bs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bs1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66250001
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '252.d1'], 'contains': ['1008.f1', '1008.i1', '1008.w1', '1008.y1', '1008.bc1', '1512.u1', '2016.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4762, -1, 2204, -1], 'generators': [357001369769646, 121, 367920, 6385615834383665, 1864985503034449, 356995142748847, 7, 1307674368001, 40284847], 'label': '387072.a.504.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '504.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.j1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250002
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bl1', '2688.d1', '4032.u1', '4032.bg1', '4032.bl1'], 'contains': ['24192.dx1', '32256.m1', '32256.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5311, -1, 7521, -1], 'generators': [367927, 355693655116807, 362886, 355687428096006, 3378333013194655], 'label': '387072.a.8064.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '8064.bt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bt1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66250003
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.z1', '4032.o1', '4032.v1', '4032.bj1'], 'contains': ['16128.t1', '16128.y1', '16128.z1', '24192.dy1', '32256.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5087, -1, 738, -1], 'generators': [356995102831920, 357001329852726, 1864985502671568, 1307674735926, 5046], 'label': '387072.a.8064.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.bu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bu1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250004
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bm1', '2016.bn1', '4032.h1', '4032.w1', '4032.bj1'], 'contains': ['16128.y1', '16128.z1', '24192.dz1', '32256.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5101, -1, 551, -1], 'generators': [1307674368006, 1864985502671568, 5046, 356995102464000, 357001329484806], 'label': '387072.a.8064.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '8064.bv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bv1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250005
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.u1', '2016.bf1', '4032.bm1'], 'contains': ['16128.bd1', '16128.bf2', '24192.ef1', '32256.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9859, -1, 9834, -1], 'generators': [1867707751760057, 3377019112173649, 355687468380841, 1307714652720, 355693655484727], 'label': '387072.a.8064.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.bm1', 'old_label': '8064.bw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bw1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66250006
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.w1', '2016.bg1', '4032.bm1'], 'contains': ['16128.bf2', '24192.eg1', '32256.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9879, -1, 9902, -1], 'generators': [1512020323301063, 3022645585098654, 355687468380841, 1307714652720, 355693655484727], 'label': '387072.a.8064.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.bm1', 'old_label': '8064.bx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bx1', 'subgroup_fusion': None, 'weyl_group': '48.48'}
  • id: 66250007
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.y1', '2016.bk1', '4032.bm1'], 'contains': ['16128.bf2', '16128.bf3', '24192.eh1', '32256.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9901, -1, 9930, -1], 'generators': [40279801, 1307674373166, 3022645625015455, 356995102464007, 357001329847801], 'label': '387072.a.8064.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.bm1', 'old_label': '8064.by1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.by1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66250008
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '8064.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2016.bl1', '4032.bd2', '4032.bd3', '4032.bn1'], 'contains': ['24192.eh2', '32256.u1', '32256.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9667, -1, 9800, -1], 'generators': [1307674373161, 40279806, 3377025379111368, 356995142743680, 357001329847801], 'label': '387072.a.8064.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.ba1', 'old_label': '8064.bz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8064.bz1', 'subgroup_fusion': None, 'weyl_group': '96.227'}
  • id: 66250009
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '9216.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1152.a1', '1152.a2', '1152.b1', '4608.a1'], 'contains': ['18432.a1', '27648.a1', '64512.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4608, 'diagramx': [3189, -1, 107, -1], 'generators': [4877846649475073, 1864985503034449, 355693695401647], 'label': '387072.a.9216.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4608.a1', 'old_label': '9216.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9216.a1', 'subgroup_fusion': None, 'weyl_group': '21.1'}
  • id: 66250010
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '9216.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1152.c1', '4608.a1', '4608.b1', '4608.c1'], 'contains': ['18432.a1', '27648.b1', '64512.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [4132, -1, 202, -1], 'generators': [4523466936026758, 1864991769604248, 1307674373040], 'label': '387072.a.9216.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '9216.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9216.b1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 66250011
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '9216.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.d1', '256.a1', '4608.b1'], 'contains': ['18432.a1', '27648.c1', '64512.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4608, 'diagramx': [4099, -1, 25, -1], 'generators': [756043194021713, 6387057238475656, 2280570208398431], 'label': '387072.a.9216.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4608.b1', 'old_label': '9216.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9216.c1', 'subgroup_fusion': None, 'weyl_group': '42.1'}
  • id: 66250012
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.b1', '252.d1'], 'contains': ['1008.g1', '1008.h1', '1008.y1', '1512.v1', '2016.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4601, -1, 2057, -1], 'generators': [357001369769646, 121, 367920, 1864985503034449, 6385622061409505, 356995142748847, 7, 1307674368001, 40284847], 'label': '387072.a.504.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '504.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.k1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250013
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '10752.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2688.d1', '5376.a1', '5376.b1', '5376.c1'], 'contains': ['32256.k1', '32256.l1', '32256.m1', '43008.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5499, -1, 1303, -1], 'generators': [9683405637126, 6038249971628143, 355687428096001, 5041], 'label': '387072.a.10752.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '10752.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10752.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66250014
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '10752.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.e1', '2688.a1', '5376.d1'], 'contains': ['21504.a1', '21504.b1', '32256.o1', '32256.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 5376, 'diagramx': [9704, -1, 1623, -1], 'generators': [9677138699526, 1313941668606, 6392629765635702, 6391201297858871], 'label': '387072.a.10752.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5376.d1', 'old_label': '10752.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10752.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 66250015
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '10752.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['672.f1', '2688.b1', '5376.d1'], 'contains': ['21504.a1', '32256.q1', '32256.r1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 5376, 'diagramx': [9960, -1, 2252, -1], 'generators': [6391201298226905, 8369464694406, 6038250011544823, 1313941668606], 'label': '387072.a.10752.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5376.d1', 'old_label': '10752.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10752.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 66250016
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '10752.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '10752.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2688.c1', '3584.a1', '5376.d1'], 'contains': ['21504.a1', '32256.s1', '32256.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1792, 'diagramx': [9968, -1, 1604, -1], 'generators': [357001329852721, 6038243784881976, 8375731269120, 355687468017967], 'label': '387072.a.10752.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1792.a1', 'old_label': '10752.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10752.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66250017
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '10752.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '129024.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.d1', '3584.a1', '5376.e1'], 'contains': ['32256.t1', '43008.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1792, 'diagramx': [9978, -1, 9955, -1], 'generators': [356995142743806, 1120133873393272, 3021331684077774, 355693655484727], 'label': '387072.a.10752.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1792.a1', 'old_label': '10752.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10752.e1', 'subgroup_fusion': None, 'weyl_group': '72.42'}
  • id: 66250018
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '10752.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '129024.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.e1', '3584.a1'], 'contains': ['32256.t1', '43008.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3584, 'diagramx': [9992, -1, 9992, -1], 'generators': [357001329852721, 6393931212977977, 5643567240227136, 355687468017967], 'label': '387072.a.10752.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3584.a1', 'old_label': '10752.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10752.f1', 'subgroup_fusion': None, 'weyl_group': '36.11'}
  • id: 66250019
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.a2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.g1', '6048.cu2'], 'contains': ['24192.a2', '24192.b2', '24192.c1', '24192.d2', '24192.e2', '24192.f1', '24192.g2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1583, -1, 4769, -1], 'generators': [1307714652846, 754574702919096, 356995142380927, 362886, 357001329489961], 'label': '387072.a.12096.a2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '12096.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.a2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250020
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.g1', '6048.cu2'], 'contains': ['24192.a2', '24192.b2', '24192.c1', '24192.d2', '24192.e2', '24192.f1', '24192.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1570, -1, 4799, -1], 'generators': [1307714652846, 754574702919096, 362886, 356995142743680, 357001329489961], 'label': '387072.a.12096.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '12096.a2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250021
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.a4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.cu1'], 'contains': ['24192.a1', '24192.b1', '24192.c1', '24192.d2', '24192.e2', '24192.f1', '24192.g4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1608, -1, 4311, -1], 'generators': [121, 1307674735921, 357001329852726, 753260761976383, 356995142743687], 'label': '387072.a.12096.a4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '12096.a3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.a4', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250022
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.a3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g1', '6048.cu1'], 'contains': ['24192.a2', '24192.b2', '24192.c1', '24192.d1', '24192.e1', '24192.f1', '24192.g3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1595, -1, 4618, -1], 'generators': [1307714647686, 40284721, 753260761976383, 357001369401726, 356995102464000], 'label': '387072.a.12096.a3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '12096.a4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.a3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250023
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1', '126.c1', '168.c1', '252.d1'], 'contains': ['1008.j1', '1008.q1', '1008.r1', '1008.v1', '1008.y1', '1512.a1', '2016.x1', '2016.bc1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [4831, -1, 1653, -1], 'generators': [1864985502671568, 357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7, 363000], 'label': '387072.a.504.l1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '504.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.l1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66250024
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.b3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.b2', '6048.c1', '6048.l1', '6048.n4', '6048.o1', '6048.ba1'], 'contains': ['24192.h2', '24192.j2', '24192.n1', '24192.u2', '24192.w1', '24192.ba1', '24192.bd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [971, -1, 3547, -1], 'generators': [121, 4540238964575297, 357001329852726, 753260761618543, 356995102464000], 'label': '387072.a.12096.b3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.b3', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250025
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.b4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.c1', '6048.e2', '6048.k1', '6048.l1', '6048.n4', '6048.be1'], 'contains': ['24192.h2', '24192.j2', '24192.n2', '24192.u2', '24192.w2', '24192.ba2', '24192.bd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [934, -1, 3518, -1], 'generators': [121, 357001329852726, 4540238964207377, 1108954416735217, 356995102464000], 'label': '387072.a.12096.b4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.b2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.b4', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250026
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.b2', '6048.c2', '6048.l1', '6048.n3', '6048.o1', '6048.ba1'], 'contains': ['24192.h1', '24192.j1', '24192.n1', '24192.u1', '24192.w1', '24192.ba1', '24192.bd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [957, -1, 3470, -1], 'generators': [121, 357001329852726, 753260761618543, 356995102464000, 4894618717940423], 'label': '387072.a.12096.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.b3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.b1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250027
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.b2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.c2', '6048.e2', '6048.k1', '6048.l1', '6048.n3', '6048.be1'], 'contains': ['24192.h1', '24192.j1', '24192.n2', '24192.u1', '24192.w2', '24192.ba2', '24192.bd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [902, -1, 3441, -1], 'generators': [121, 357001329852726, 1108954416735217, 4894618718298263, 356995102464000], 'label': '387072.a.12096.b2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.b4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.b2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250028
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.d1', '6048.f2', '6048.k1', '6048.m1', '6048.n3', '6048.ba1'], 'contains': ['24192.h1', '24192.j1', '24192.k1', '24192.u2', '24192.v1', '24192.ba1', '24192.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [594, -1, 2863, -1], 'generators': [121, 357001329852726, 1108948189714423, 356995102464000, 4894618717940423], 'label': '387072.a.12096.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.c1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250029
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.c2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.d2', '6048.f1', '6048.k1', '6048.m1', '6048.n4', '6048.ba1'], 'contains': ['24192.h2', '24192.j2', '24192.k1', '24192.u1', '24192.v1', '24192.ba1', '24192.bb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [572, -1, 2886, -1], 'generators': [121, 4540238964575297, 357001329852726, 1108948189714423, 356995102464000], 'label': '387072.a.12096.c2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.c2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.c2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250030
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b2', '6048.f1', '6048.f2', '6048.m1', '6048.n3', '6048.n4', '6048.be1'], 'contains': ['24192.h2', '24192.h1', '24192.k1', '24192.u2', '24192.u1', '24192.x1', '24192.ba2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [508, -1, 2908, -1], 'generators': [121, 357001329852726, 4540238964207377, 1108948189714423, 356995102464000], 'label': '387072.a.12096.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.d1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250031
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.d2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.d1', '6048.d2', '6048.e2', '6048.n3', '6048.n4', '6048.p1', '6048.ba1'], 'contains': ['24192.i1', '24192.j2', '24192.j1', '24192.u2', '24192.u1', '24192.v1', '24192.w1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [683, -1, 2934, -1], 'generators': [121, 357001329852726, 753266988639337, 356995102464000, 4894618717940423], 'label': '387072.a.12096.d2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.d2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.d2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250032
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.c2', '6048.c1', '6048.l1', '6048.o1', '6048.be1'], 'contains': ['24192.h2', '24192.h1', '24192.n1', '24192.w2', '24192.y1', '24192.bd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1095, -1, 3694, -1], 'generators': [121, 357001329852726, 4540238964207377, 753260761618543, 356995102464000], 'label': '387072.a.12096.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.e1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250033
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.e2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.c2', '6048.c1', '6048.e1', '6048.l1', '6048.n3', '6048.n4', '6048.bf1'], 'contains': ['24192.h2', '24192.h1', '24192.n2', '24192.w1', '24192.y1', '24192.bd1', '24192.cz1', '24192.ea1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1266, -1, 3718, -1], 'generators': [121, 4540238964575297, 357001329852726, 1108954416735217, 356995102464000], 'label': '387072.a.12096.e2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.e2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.e2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250034
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '504.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.c1', '168.d1', '168.e1', '252.e1'], 'contains': ['1008.s1', '1512.a1', '2016.y1', '2016.be1', '2016.bk1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [9534, -1, 8128, -1], 'generators': [3022645625015455, 357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7, 363000], 'label': '387072.a.504.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '504.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504.m1', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66250035
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.d1', '6048.e1', '6048.f2', '6048.n3', '6048.o1', '6048.p1', '6048.be1'], 'contains': ['24192.h1', '24192.i1', '24192.j1', '24192.u2', '24192.w2', '24192.x1', '24192.y1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [658, -1, 3104, -1], 'generators': [121, 357001329852726, 753266988639337, 4894618718298263, 356995102464000], 'label': '387072.a.12096.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.f1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250036
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.f2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.d2', '6048.e1', '6048.f1', '6048.n4', '6048.o1', '6048.p1', '6048.be1'], 'contains': ['24192.h2', '24192.i1', '24192.j2', '24192.u1', '24192.w2', '24192.x1', '24192.y1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [643, -1, 3134, -1], 'generators': [121, 357001329852726, 4540238964207377, 753266988639337, 356995102464000], 'label': '387072.a.12096.f2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.f2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.f2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250037
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.e2', '6048.f1', '6048.f2', '6048.o1', '6048.p1', '6048.bf1'], 'contains': ['24192.h2', '24192.h1', '24192.i1', '24192.w1', '24192.y1', '24192.z1', '24192.da1', '24192.eb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1077, -1, 3611, -1], 'generators': [121, 4540238964575297, 357001329852726, 753266988639337, 356995102464000], 'label': '387072.a.12096.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.g1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250038
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.a1', '6048.b1', '6048.l1', '6048.n3', '6048.n4', '6048.bj1'], 'contains': ['24192.j2', '24192.j1', '24192.n1', '24192.ba2', '24192.bb1', '24192.bd1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1087, -1, 3197, -1], 'generators': [121, 357001329852726, 4894618718298263, 753260761618543, 356995102464000], 'label': '387072.a.12096.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.h1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250039
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.h2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.a1', '6048.e1', '6048.k1', '6048.l1', '6048.ba1'], 'contains': ['24192.j2', '24192.j1', '24192.n2', '24192.ba1', '24192.bb1', '24192.bd2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [995, -1, 3409, -1], 'generators': [121, 357001329852726, 1108954416735217, 356995102464000, 4894618717940423], 'label': '387072.a.12096.h2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.h2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.h2', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250040
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b2', '6048.d1', '6048.d2', '6048.k1', '6048.m1', '6048.bj1'], 'contains': ['24192.j2', '24192.j1', '24192.k1', '24192.ba2', '24192.bb1', '24192.bc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [552, -1, 2691, -1], 'generators': [121, 357001329852726, 1108948189714423, 4894618718298263, 356995102464000], 'label': '387072.a.12096.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.i1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250041
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.j2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.c2', '6048.d2', '6048.f2', '6048.q2', '6048.q4', '6048.bq2'], 'contains': ['24192.h2', '24192.j1', '24192.o2', '24192.be2', '24192.bf2', '24192.bh2', '24192.bj2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1169, -1, 3640, -1], 'generators': [1307674735921, 5046, 357001329847801, 356995102469167, 1108948190072382], 'label': '387072.a.12096.j2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.j2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250042
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.c1', '6048.d1', '6048.f1', '6048.q1', '6048.q5', '6048.bq1'], 'contains': ['24192.h1', '24192.j2', '24192.o1', '24192.be1', '24192.bf1', '24192.bh1', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1195, -1, 3669, -1], 'generators': [356995102831927, 357001329847806, 1307674373166, 753260761976383, 5041], 'label': '387072.a.12096.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.j2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.j1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250043
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.j3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.b2', '6048.e1', '6048.e2', '6048.q3', '6048.q4', '6048.bq1'], 'contains': ['24192.h2', '24192.j1', '24192.o3', '24192.be3', '24192.bf1', '24192.bh1', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1118, -1, 3777, -1], 'generators': [1307674368006, 753260761976262, 357001329484801, 368046, 356995102469160], 'label': '387072.a.12096.j3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.j3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.j3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250044
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.j4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.b2', '6048.e1', '6048.e2', '6048.q3', '6048.q5', '6048.bq2'], 'contains': ['24192.h1', '24192.j2', '24192.o3', '24192.be3', '24192.bf2', '24192.bh2', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1156, -1, 3747, -1], 'generators': [1108954417093057, 356995102831920, 368041, 1307674368001, 357001329484806], 'label': '387072.a.12096.j4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.j4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.j4', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250045
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '576.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1'], 'contains': ['1152.a1', '1152.a2', '1152.c1', '1728.a1', '4032.n1', '4608.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 576, 'diagramx': [3341, -1, 1564, -1], 'generators': [39921961, 1307674731006, 356995102464007, 357001369406641, 40279687, 4879154323843072, 1866299404418334], 'label': '387072.a.576.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '576.a1', 'old_label': '576.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576.a1', 'subgroup_fusion': None, 'weyl_group': '168.43'}
  • id: 66250046
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.d1', '6048.f1', '6048.g2', '6048.q4', '6048.r1', '6048.bq2', '6048.cu1'], 'contains': ['24192.a1', '24192.a2', '24192.i1', '24192.k1', '24192.o1', '24192.be2', '24192.be3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1034, -1, 3863, -1], 'generators': [121, 1307674735921, 357001329852726, 753260761976383, 356995102464000], 'label': '387072.a.12096.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.k1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250047
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.k2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.d2', '6048.f2', '6048.g1', '6048.q5', '6048.r1', '6048.bq1', '6048.cu2'], 'contains': ['24192.a2', '24192.i1', '24192.k1', '24192.o2', '24192.be1', '24192.be3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1022, -1, 3890, -1], 'generators': [121, 357001329852726, 1307674373166, 753260761613376, 356995102464000], 'label': '387072.a.12096.k2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.k2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.k2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250048
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.l2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.c2', '6048.f2', '6048.q1', '6048.q3', '6048.bk1', '6048.bk2', '6048.br1'], 'contains': ['24192.h1', '24192.o2', '24192.bf1', '24192.bg1', '24192.bj4', '24192.db2', '24192.ec2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2052, -1, 4411, -1], 'generators': [753260761981303, 5041, 357001329484801, 363007, 356995102469160], 'label': '387072.a.12096.l2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.d1', 'old_label': '12096.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.l2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250049
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.c1', '6048.f1', '6048.q2', '6048.q3', '6048.bk2', '6048.br1'], 'contains': ['24192.h2', '24192.o1', '24192.bf2', '24192.bg1', '24192.bj4', '24192.db1', '24192.ec1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1976, -1, 4370, -1], 'generators': [753260761976383, 355687428096001, 1307674368120, 355693655121960, 363007], 'label': '387072.a.12096.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.d1', 'old_label': '12096.l2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.l1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250050
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.l3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.e1', '6048.e2', '6048.h1', '6048.q4', '6048.q5', '6048.br1', '6048.cv1'], 'contains': ['24192.i1', '24192.n2', '24192.o3', '24192.bf2', '24192.bf1', '24192.db3', '24192.ec3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1526, -1, 4535, -1], 'generators': [753260761976383, 362886, 356995102464000, 357001329489961, 1307674731001], 'label': '387072.a.12096.l3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.l3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.l3', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250051
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.m2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.d2', '6048.q1', '6048.q3', '6048.bl1', '6048.bl2', '6048.bs1'], 'contains': ['24192.j2', '24192.o2', '24192.bh1', '24192.bi1', '24192.bj4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1894, -1, 4089, -1], 'generators': [5041, 1108948190077416, 357001329484801, 363007, 356995102469160], 'label': '387072.a.12096.m2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.d1', 'old_label': '12096.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.m2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250052
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.d1', '6048.q2', '6048.q3', '6048.bl2', '6048.bs1'], 'contains': ['24192.j1', '24192.o1', '24192.bh2', '24192.bi1', '24192.bj4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1869, -1, 4027, -1], 'generators': [355687428096001, 1307674368120, 753260761981296, 355693655121960, 363007], 'label': '387072.a.12096.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.d1', 'old_label': '12096.m2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.m1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250053
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.m3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.b2', '6048.i1', '6048.q4', '6048.q5', '6048.bs1', '6048.cw1'], 'contains': ['24192.k1', '24192.n1', '24192.o3', '24192.bh2', '24192.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1386, -1, 4121, -1], 'generators': [753260761981303, 362886, 356995102464000, 357001329489961, 1307674731001], 'label': '387072.a.12096.m3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.m3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.m3', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250054
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.j2', '6048.s1', '6048.s2', '6048.bt1', '6048.cu1', '6048.cx1'], 'contains': ['24192.b1', '24192.b2', '24192.l1', '24192.m1', '24192.o1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1932, -1, 5177, -1], 'generators': [121, 1307674735921, 357001329852726, 1110262131014983, 356995102464000], 'label': '387072.a.12096.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.n2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250055
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g1', '6048.j1', '6048.s1', '6048.s3', '6048.bt2', '6048.cu2', '6048.cx2'], 'contains': ['24192.b2', '24192.l1', '24192.m1', '24192.o2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1919, -1, 5274, -1], 'generators': [121, 357001329852726, 1307674373166, 1110262131377976, 356995102464000], 'label': '387072.a.12096.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.n2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.n1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250056
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '672.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.c1', '336.b1'], 'contains': ['1344.b1', '1344.d1', '2016.bc1', '2016.bd1', '2016.be1', '2688.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5204, -1, 1228, -1], 'generators': [8375691352321, 357001369769646, 367920, 362881, 356995142748847, 1307674368001, 40284847, 6392629765635823], 'label': '387072.a.672.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '672.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.a1', 'subgroup_fusion': None, 'weyl_group': '288.1025'}
  • id: 66250057
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.i1', '6048.s2', '6048.s3', '6048.bu1', '6048.cv1'], 'contains': ['24192.l1', '24192.o3', '24192.dc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2152, -1, 5412, -1], 'generators': [754574702924016, 362886, 356995102464000, 357001329489961, 1307674731001], 'label': '387072.a.12096.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.e1', 'old_label': '12096.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.o1', 'subgroup_fusion': None, 'weyl_group': '32.22'}
  • id: 66250058
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.h1', '6048.s2', '6048.s3', '6048.bv1', '6048.cw1'], 'contains': ['24192.m1', '24192.o3', '24192.ed1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7523, -1, 8102, -1], 'generators': [754574702919096, 362886, 356995102464000, 357001329489961, 1307674731001], 'label': '387072.a.12096.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.e1', 'old_label': '12096.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.p1', 'subgroup_fusion': None, 'weyl_group': '32.22'}
  • id: 66250059
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.q2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.c2', '6048.j1', '6048.q5', '6048.t3', '6048.bq1', '6048.cx2'], 'contains': ['24192.n1', '24192.n2', '24192.o2', '24192.bj1', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1502, -1, 4505, -1], 'generators': [121, 357001329852726, 1307674373166, 356995102464000, 753260761981296], 'label': '387072.a.12096.q2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.q2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250060
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.c1', '6048.j2', '6048.q4', '6048.t3', '6048.bq2', '6048.cx1'], 'contains': ['24192.n1', '24192.n2', '24192.o1', '24192.bj2', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1489, -1, 4473, -1], 'generators': [121, 1108948190072263, 1307674735921, 357001329852726, 356995102464000], 'label': '387072.a.12096.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.q2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.q1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250061
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.q4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.t2', '6048.t4', '6048.bk1', '6048.bk2', '6048.bl1', '6048.bl2', '6048.bw1'], 'contains': ['24192.o2', '24192.bj4', '24192.dd2', '24192.ee2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2680, -1, 5771, -1], 'generators': [5041, 357001329484801, 1108948190077423, 363007, 356995102469160], 'label': '387072.a.12096.q4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.m1', 'old_label': '12096.q3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.q4', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250062
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.q3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.t1', '6048.t4', '6048.bk2', '6048.bl2', '6048.bw1'], 'contains': ['24192.o1', '24192.bj4', '24192.dd1', '24192.ee1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2693, -1, 5803, -1], 'generators': [753260761981303, 355687428096001, 1307674368120, 355693655121960, 363007], 'label': '387072.a.12096.q3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.m1', 'old_label': '12096.q4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.q3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250063
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.g1', '6048.u2', '6048.u1', '6048.bm1', '6048.cv1', '6048.cz1'], 'contains': ['24192.c1', '24192.i1', '24192.l1', '24192.p1', '24192.cc1', '24192.cn1', '24192.cs2', '24192.cs1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1698, -1, 4854, -1], 'generators': [1307714647686, 121, 357001329852726, 753260761976383, 356995102464000], 'label': '387072.a.12096.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.r1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250064
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.s2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.h1', '6048.u2', '6048.v1', '6048.bn1', '6048.cu2', '6048.cy1'], 'contains': ['24192.d2', '24192.i1', '24192.m1', '24192.p3', '24192.cd2', '24192.co2', '24192.ef1', '24192.ef4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5908, -1, 8219, -1], 'generators': [1307714652846, 754574702919096, 362886, 356995102464000, 357001329489961], 'label': '387072.a.12096.s2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.s2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250065
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g1', '6048.h1', '6048.u1', '6048.v1', '6048.bn2', '6048.cu1', '6048.cy2'], 'contains': ['24192.d1', '24192.d2', '24192.i1', '24192.m1', '24192.p2', '24192.cd1', '24192.co1', '24192.ef2', '24192.ef3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7486, -1, 7551, -1], 'generators': [121, 357001329852726, 754574702919103, 356995102464000, 1307714652841], 'label': '387072.a.12096.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.s2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.s1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250066
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.t2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.i1', '6048.w2', '6048.x1', '6048.bo2', '6048.cu2', '6048.da1'], 'contains': ['24192.e2', '24192.k1', '24192.l1', '24192.p3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1048, -1, 4738, -1], 'generators': [1110262131020143, 1307714652846, 362886, 356995102464000, 357001329489961], 'label': '387072.a.12096.t2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.t2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250067
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '672.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['224.a1', '336.a1', '336.c1'], 'contains': ['2016.bj1', '2016.bl1', '2688.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [5439, -1, 2094, -1], 'generators': [8375691715200, 1307674731006, 6036942337539703, 126, 39921847, 356995142748840, 357001369406646, 5167], 'label': '387072.a.672.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '672.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.b1', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66250068
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g1', '6048.i1', '6048.w1', '6048.x1', '6048.bo1', '6048.cu1', '6048.da2'], 'contains': ['24192.e1', '24192.e2', '24192.k1', '24192.l1', '24192.p2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1062, -1, 4280, -1], 'generators': [121, 357001329852726, 1110262131020136, 356995102464000, 1307714652841], 'label': '387072.a.12096.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.t2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.t1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250069
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.g1', '6048.w2', '6048.w1', '6048.bp1', '6048.cw1', '6048.db1'], 'contains': ['24192.f1', '24192.k1', '24192.m1', '24192.p1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2950, -1, 5865, -1], 'generators': [1307714647686, 121, 357001329852726, 1110262131014983, 356995102464000], 'label': '387072.a.12096.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.u1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250070
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.v2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.i1', '6048.j2', '6048.u2', '6048.y1', '6048.bo2', '6048.cx2', '6048.cy1'], 'contains': ['24192.l1', '24192.n1', '24192.p3', '24192.ce2', '24192.cp2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2379, -1, 6039, -1], 'generators': [754574702924016, 1307714652846, 362886, 356995102464000, 357001329489961], 'label': '387072.a.12096.v2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.v2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250071
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.i1', '6048.j1', '6048.u1', '6048.y1', '6048.bo1', '6048.cx1', '6048.cy2'], 'contains': ['24192.l1', '24192.n1', '24192.p2', '24192.ce1', '24192.cp1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2393, -1, 6007, -1], 'generators': [121, 357001329852726, 356995102464000, 753260761981296, 1307714652841], 'label': '387072.a.12096.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.v2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.v1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250072
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.v3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.j2', '6048.j1', '6048.w2', '6048.w1', '6048.bm1', '6048.cv1', '6048.dc1'], 'contains': ['24192.l1', '24192.n2', '24192.p1', '24192.ct2', '24192.ct1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2139, -1, 5306, -1], 'generators': [1307714647686, 121, 1108948190072263, 357001329852726, 356995102464000], 'label': '387072.a.12096.v3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.v3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.v3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250073
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.w2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.h1', '6048.j2', '6048.w2', '6048.z1', '6048.bn1', '6048.cx2', '6048.da1'], 'contains': ['24192.m1', '24192.n2', '24192.p3', '24192.eg1', '24192.eg4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7501, -1, 8262, -1], 'generators': [1307714652846, 1110262131014983, 362886, 356995102464000, 357001329489961], 'label': '387072.a.12096.w2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.w2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250074
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.h1', '6048.j1', '6048.w1', '6048.z1', '6048.bn2', '6048.cx1', '6048.da2'], 'contains': ['24192.m1', '24192.n2', '24192.p2', '24192.eg2', '24192.eg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7474, -1, 8070, -1], 'generators': [121, 1108948190072263, 357001329852726, 356995102464000, 1307714652841], 'label': '387072.a.12096.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.w2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.w1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250075
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.w3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.j2', '6048.j1', '6048.u2', '6048.u1', '6048.bp1', '6048.cw1', '6048.dd1'], 'contains': ['24192.m1', '24192.n1', '24192.p1', '24192.cf1', '24192.cq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3458, -1, 6715, -1], 'generators': [1307714647686, 121, 357001329852726, 754574702919103, 356995102464000], 'label': '387072.a.12096.w3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.w3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.w3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250076
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g2', '6048.j2', '6048.bx1', '6048.cs3', '6048.de1', '6048.de2'], 'contains': ['24192.g2', '24192.g1', '24192.g4', '24192.g7', '24192.g8', '24192.o1', '24192.p1', '24192.p3', '24192.t1', '24192.t5', '24192.cm5', '24192.cm6', '24192.cr6', '24192.cr7', '24192.cx3', '24192.cx4', '24192.eh5', '24192.eh6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7738, -1, 8767, -1], 'generators': [5160, 40284721, 356995142385847, 357001329847801, 1307674368001], 'label': '387072.a.12096.x2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250077
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.g1', '6048.j1', '6048.bx1', '6048.cs1', '6048.cs3', '6048.de1', '6048.de3'], 'contains': ['24192.g2', '24192.g1', '24192.g3', '24192.g5', '24192.g6', '24192.o2', '24192.p1', '24192.p2', '24192.t1', '24192.t4', '24192.cm4', '24192.cr4', '24192.cr5', '24192.cx1', '24192.cx2', '24192.eh3', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7464, -1, 8753, -1], 'generators': [357001369769646, 5160, 1307714652846, 40284721, 356995142385840], 'label': '387072.a.12096.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.x2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250078
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '36.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['72.a1', '72.b1', '72.c1', '108.a1', '252.d1', '2304.a1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4612, -1, 1729, -1], 'generators': [1307674368001, 7, 1111724395097032, 2280570248310191, 6387057238480697, 363000, 5160, 357001369769646, 121, 40284847, 356995142748847], 'label': '387072.a.36.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '36.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '5376.bi'}
  • id: 66250079
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '672.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.d1', '224.a1', '336.d1'], 'contains': ['2016.bl1', '43008.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 112, 'diagramx': [9620, -1, 9907, -1], 'generators': [367927, 1307674731006, 1120133873393272, 3377025339194448, 362886, 356995142385847, 40284847, 357001369406646], 'label': '387072.a.672.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '112.a1', 'old_label': '672.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.c1', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 66250080
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.h1', '6048.i1', '6048.bx1', '6048.cs2', '6048.cs3', '6048.de2', '6048.de3'], 'contains': ['24192.g9', '24192.g10', '24192.g11', '24192.g12', '24192.o3', '24192.p3', '24192.p2', '24192.t5', '24192.t4', '24192.cm5', '24192.cm6', '24192.cr8', '24192.cr9', '24192.cx5', '24192.cx6', '24192.eh1', '24192.eh2', '24192.eh5', '24192.eh3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [8303, -1, 8984, -1], 'generators': [357001369769646, 5160, 1307714652846, 40284721, 356995102827000], 'label': '387072.a.12096.x3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.x3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250081
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs1', '6048.cs2', '6048.cs3', '6048.de2', '6048.de3'], 'contains': ['24192.g3', '24192.g7', '24192.g5', '24192.g9', '24192.g13', '24192.g14', '24192.g15', '24192.o4', '24192.p4', '24192.p5', '24192.t5', '24192.t4', '24192.t6', '24192.cm3', '24192.cm5', '24192.cm7', '24192.cr8', '24192.cr10', '24192.cr11', '24192.cr12', '24192.cx1', '24192.cx7', '24192.cx8', '24192.cx9', '24192.eh1', '24192.eh6', '24192.eh3', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8668, -1, 8880, -1], 'generators': [5160, 1307714652846, 40284721, 357001369769641, 356995102827000], 'label': '387072.a.12096.x4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.x4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250082
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs1', '6048.cs3', '6048.de3'], 'contains': ['24192.g2', '24192.g5', '24192.g6', '24192.g10', '24192.g13', '24192.g14', '24192.g16', '24192.o4', '24192.p6', '24192.p7', '24192.t5', '24192.t4', '24192.t7', '24192.cm3', '24192.cm5', '24192.cm4', '24192.cr9', '24192.cr13', '24192.cr14', '24192.cr15', '24192.cx2', '24192.cx10', '24192.cx11', '24192.cx12', '24192.eh6', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8296, -1, 8837, -1], 'generators': [5160, 40284726, 356995142385840, 357001369769641, 1307674368001], 'label': '387072.a.12096.x5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.x5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250083
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs2', '6048.cs3', '6048.de1', '6048.de3'], 'contains': ['24192.g1', '24192.g8', '24192.g5', '24192.g11', '24192.g13', '24192.g15', '24192.g17', '24192.o5', '24192.p6', '24192.p8', '24192.t2', '24192.t5', '24192.t4', '24192.t7', '24192.cm1', '24192.cm2', '24192.cm6', '24192.cm4', '24192.cr6', '24192.cr10', '24192.cr16', '24192.cr17', '24192.cx5', '24192.cx7', '24192.cx13', '24192.cx14', '24192.eh5', '24192.eh6', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8229, -1, 8865, -1], 'generators': [5160, 40284726, 357001369769641, 356995102827000, 1307674368001], 'label': '387072.a.12096.x6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.x6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250112
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '672.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.b1', '336.b1'], 'contains': ['1344.d1', '2016.bq1', '2016.br1', '10752.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5265, -1, 4122, -1], 'generators': [6227020806, 1307674368006, 6036942337539703, 6391195070843225, 126, 40279680, 8375691352326, 363000], 'label': '387072.a.672.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '672.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.f1', 'subgroup_fusion': None, 'weyl_group': '576.8656'}
  • id: 66250084
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs2', '6048.cs3', '6048.de1', '6048.de3'], 'contains': ['24192.g9', '24192.g10', '24192.g12', '24192.g15', '24192.g16', '24192.g17', '24192.o6', '24192.p4', '24192.p8', '24192.t2', '24192.t6', '24192.t7', '24192.cm1', '24192.cm2', '24192.cm6', '24192.cm7', '24192.cr4', '24192.cr13', '24192.cr18', '24192.cr19', '24192.cx3', '24192.cx8', '24192.cx15', '24192.cx16', '24192.eh5', '24192.eh6', '24192.eh3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8471, -1, 8894, -1], 'generators': [5160, 40284721, 356995102827007, 357001369769641, 1307674368001], 'label': '387072.a.12096.x7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.x7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250085
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs2', '6048.cs3', '6048.de2', '6048.de3'], 'contains': ['24192.g4', '24192.g7', '24192.g8', '24192.g6', '24192.g12', '24192.g13', '24192.g16', '24192.g17', '24192.o5', '24192.p5', '24192.p9', '24192.t3', '24192.t5', '24192.t4', '24192.t6', '24192.cm5', '24192.cm6', '24192.cm7', '24192.cr7', '24192.cr14', '24192.cr18', '24192.cr20', '24192.cx6', '24192.cx10', '24192.cx13', '24192.cx15', '24192.eh2', '24192.eh6', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8516, -1, 8908, -1], 'generators': [5160, 40284726, 357001329847801, 356995142748840, 1307674368001], 'label': '387072.a.12096.x8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.x8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250086
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.x9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs2', '6048.cs3', '6048.de3'], 'contains': ['24192.g10', '24192.g11', '24192.g12', '24192.g14', '24192.g15', '24192.g16', '24192.o6', '24192.p7', '24192.p9', '24192.t3', '24192.t6', '24192.t7', '24192.cm5', '24192.cm6', '24192.cm4', '24192.cm7', '24192.cr5', '24192.cr11', '24192.cr16', '24192.cr21', '24192.cx4', '24192.cx11', '24192.cx14', '24192.cx17', '24192.eh5', '24192.eh6', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8142, -1, 8922, -1], 'generators': [5160, 40284726, 356995142385840, 357001329847801, 1307674368001], 'label': '387072.a.12096.x9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.x9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.x9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250087
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.k1', '6048.n3', '6048.n4', '6048.o1', '6048.q3', '6048.bq2', '6048.bq1'], 'contains': ['24192.h2', '24192.h1', '24192.j2', '24192.j1', '24192.r4', '24192.be3', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1182, -1, 3807, -1], 'generators': [1108948190077416, 5046, 357001329847801, 356995102469167, 1307674368001], 'label': '387072.a.12096.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.y1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250088
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.y2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.l1', '6048.m1', '6048.n1', '6048.n2', '6048.p1', '6048.q2', '6048.bq1'], 'contains': ['24192.h2', '24192.j1', '24192.r1', '24192.be1', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1143, -1, 3074, -1], 'generators': [1307674373166, 753260761976383, 5046, 357001329847801, 356995102469167], 'label': '387072.a.12096.y2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.y2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.y2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250089
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.y3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.y2', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.l1', '6048.m1', '6048.n2', '6048.p1', '6048.q1', '6048.bq2'], 'contains': ['24192.h1', '24192.j2', '24192.r1', '24192.be2', '24192.bj2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1344, -1, 3379, -1], 'generators': [356995102831927, 357001329847806, 1307674735921, 5041, 1108948189714423], 'label': '387072.a.12096.y3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.y3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.y3', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250090
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '672.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.e1', '224.a1'], 'contains': ['2016.bl1', '43008.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 224, 'diagramx': [9942, -1, 9966, -1], 'generators': [1307674731006, 6036942337539703, 126, 5643567240227136, 39921847, 356995142748840, 357001369406646, 5167], 'label': '387072.a.672.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '224.a1', 'old_label': '672.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.d1', 'subgroup_fusion': None, 'weyl_group': '1728.47862'}
  • id: 66250091
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.n3', '6048.o1', '6048.q5', '6048.u2', '6048.bq2', '6048.br1', '6048.cy2'], 'contains': ['24192.h1', '24192.i1', '24192.n1', '24192.r4', '24192.bf2', '24192.cg1', '24192.de2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1558, -1, 4562, -1], 'generators': [1108948189709496, 362886, 356995102827007, 357001329489961, 1307674368001], 'label': '387072.a.12096.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.z1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250092
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.z2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.n4', '6048.o1', '6048.q4', '6048.u1', '6048.bq1', '6048.br1', '6048.cy1'], 'contains': ['24192.h2', '24192.i1', '24192.n1', '24192.r4', '24192.bf1', '24192.cg2', '24192.de1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1515, -1, 4589, -1], 'generators': [121, 1307674368006, 357001329852726, 753260761976383, 356995102827007], 'label': '387072.a.12096.z2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.z2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.z2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250093
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.ba1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.a1', '6048.p1', '6048.r1', '6048.v1', '6048.br1', '6048.cz1'], 'contains': ['24192.i1', '24192.r1', '24192.bg1', '24192.ch1', '24192.df1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2417, -1, 4390, -1], 'generators': [121, 753260761976383, 356995102464000, 357001329489961, 363007], 'label': '387072.a.12096.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '12096.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ba1', 'subgroup_fusion': None, 'weyl_group': '192.201'}
  • id: 66250094
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.k1', '6048.n3', '6048.q4', '6048.w1', '6048.bq1', '6048.bs1', '6048.da1'], 'contains': ['24192.j1', '24192.k1', '24192.n2', '24192.r4', '24192.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1411, -1, 4154, -1], 'generators': [121, 1307674368006, 753260761981303, 357001329852726, 356995102827007], 'label': '387072.a.12096.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bb1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250095
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.k1', '6048.n4', '6048.q5', '6048.w2', '6048.bq2', '6048.bs1', '6048.da2'], 'contains': ['24192.j2', '24192.k1', '24192.n2', '24192.r4', '24192.bh2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1475, -1, 4186, -1], 'generators': [1108948190077416, 362886, 356995102827007, 357001329489961, 1307674368001], 'label': '387072.a.12096.bb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.bb2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bb2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250096
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.b1', '6048.m1', '6048.r1', '6048.x1', '6048.bs1', '6048.db1'], 'contains': ['24192.k1', '24192.r1', '24192.bi1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [1906, -1, 3836, -1], 'generators': [121, 1108948190077416, 356995102464000, 357001329489961, 363007], 'label': '387072.a.12096.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '12096.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bc1', 'subgroup_fusion': None, 'weyl_group': '192.201'}
  • id: 66250097
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.s2', '6048.u1', '6048.w1', '6048.bt2', '6048.bt3', '6048.cy1', '6048.da1'], 'contains': ['24192.l1', '24192.m1', '24192.r4', '24192.ci1', '24192.dg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2964, -1, 6333, -1], 'generators': [121, 1307674368006, 357001329852726, 754574702919103, 356995102827007], 'label': '387072.a.12096.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bd1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250098
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.s3', '6048.u2', '6048.w2', '6048.bt1', '6048.bt3', '6048.cy2', '6048.da2'], 'contains': ['24192.l1', '24192.m1', '24192.r4', '24192.ci2', '24192.dg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3361, -1, 6430, -1], 'generators': [754574702919096, 362886, 356995102827007, 357001329489961, 1307674368001], 'label': '387072.a.12096.bd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.bd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bd2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250099
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.c1', '6048.s1', '6048.x1', '6048.y1', '6048.bt3', '6048.bu1', '6048.cz1', '6048.dc1'], 'contains': ['24192.l1', '24192.r1', '24192.cj1', '24192.dh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [2364, -1, 5115, -1], 'generators': [1110262131014976, 121, 356995102464000, 357001329489961, 363007], 'label': '387072.a.12096.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '12096.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.be1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66250100
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bf1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.d1', '6048.s1', '6048.v1', '6048.z1', '6048.bt3', '6048.bv1', '6048.db1', '6048.dd1'], 'contains': ['24192.m1', '24192.r1', '24192.ck1', '24192.di1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [5919, -1, 7485, -1], 'generators': [121, 754574702919096, 356995102464000, 357001329489961, 363007], 'label': '387072.a.12096.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '12096.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bf1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66250101
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '672.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['168.a1', '336.b1'], 'contains': ['1344.c1', '1344.d1', '2016.bo1', '2016.bp1', '10752.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 336, 'diagramx': [5287, -1, 2266, -1], 'generators': [6227020806, 6389887356916265, 6393937400087016, 1307674368006, 126, 40279680, 8375691352326, 363000], 'label': '387072.a.672.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '336.b1', 'old_label': '672.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.e1', 'subgroup_fusion': None, 'weyl_group': '576.8656'}
  • id: 66250102
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.bg1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.l1', '6048.t3', '6048.y1', '6048.z1', '6048.br1', '6048.bs1', '6048.bw1', '6048.dc1', '6048.dd1'], 'contains': ['24192.n1', '24192.n2', '24192.r1', '24192.bj4', '24192.cl1', '24192.dj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2425, -1, 5355, -1], 'generators': [121, 1108948190072263, 356995102464000, 357001329489961, 363007], 'label': '387072.a.12096.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '12096.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bg1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250103
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.e1', '6048.q2', '6048.q1', '6048.r1', '6048.s1', '6048.t3', '6048.t2', '6048.t1', '6048.by1', '6048.de1'], 'contains': ['24192.o2', '24192.o1', '24192.r1', '24192.bk1', '24192.bk4', '24192.cm1', '24192.dk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2667, -1, 5661, -1], 'generators': [357001369769646, 5160, 1307714652846, 39921966, 356995142385840], 'label': '387072.a.12096.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '12096.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bh1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66250104
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.e2', '6048.by2', '6048.de1', '6048.de3'], 'contains': ['24192.o4', '24192.o5', '24192.o6', '24192.r2', '24192.bk2', '24192.bk3', '24192.cm2', '24192.cm3', '24192.cm6', '24192.cm4', '24192.dk1', '24192.dk2', '24192.dk3', '24192.dk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [6070, -1, 7739, -1], 'generators': [5160, 40284721, 357001369769641, 356995102827000, 1307674368001], 'label': '387072.a.12096.bh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.bh2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bh2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250105
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bh3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.q3', '6048.q4', '6048.q5', '6048.s2', '6048.s3', '6048.t4', '6048.by1', '6048.by2', '6048.de2', '6048.de3'], 'contains': ['24192.o2', '24192.o1', '24192.o3', '24192.o4', '24192.o5', '24192.r4', '24192.bk3', '24192.bk4', '24192.cm5', '24192.cm7', '24192.dk3', '24192.dk5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3394, -1, 7019, -1], 'generators': [357001369769646, 5160, 1307714652846, 362886, 356995102827000], 'label': '387072.a.12096.bh3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '12096.bh3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bh3', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250106
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.f1', '6048.v1', '6048.x1', '6048.y1', '6048.z1', '6048.bx1', '6048.de1', '6048.df2'], 'contains': ['24192.p3', '24192.p2', '24192.p10', '24192.r1', '24192.t1', '24192.cr2', '24192.cr17', '24192.cr19', '24192.dk2', '24192.dn1', '24192.do1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4836, -1, 8239, -1], 'generators': [5160, 362886, 356995142748840, 1307674368001, 357001329484806], 'label': '387072.a.12096.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '12096.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66250107
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.f2', '6048.bx2', '6048.de1', '6048.df1'], 'contains': ['24192.p4', '24192.p6', '24192.p12', '24192.p11', '24192.r2', '24192.t2', '24192.t3', '24192.cr1', '24192.cr3', '24192.cr6', '24192.cr4', '24192.dk1', '24192.dn2', '24192.dn3', '24192.do1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [6367, -1, 8369, -1], 'generators': [5160, 40284726, 356995102827007, 357001369769641, 1307674368001], 'label': '387072.a.12096.bi2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.bi2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250108
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u2', '6048.w2', '6048.bx1', '6048.bx2', '6048.de3', '6048.df2'], 'contains': ['24192.p1', '24192.p3', '24192.p7', '24192.p8', '24192.p10', '24192.p12', '24192.p14', '24192.r4', '24192.t4', '24192.cr2', '24192.cr11', '24192.cr15', '24192.cr18', '24192.cr21', '24192.dk4', '24192.dn4', '24192.dn6', '24192.dn7', '24192.do5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4817, -1, 8482, -1], 'generators': [5160, 40284726, 356995142385847, 357001369406641, 1307674368001], 'label': '387072.a.12096.bi4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.bi3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250109
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u1', '6048.w1', '6048.bx1', '6048.bx2', '6048.de2', '6048.df1', '6048.df2'], 'contains': ['24192.p1', '24192.p2', '24192.p4', '24192.p9', '24192.p10', '24192.p11', '24192.p13', '24192.r4', '24192.t5', '24192.cr3', '24192.cr7', '24192.cr8', '24192.cr12', '24192.cr20', '24192.dk5', '24192.dn2', '24192.dn4', '24192.dn5', '24192.do3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4856, -1, 8510, -1], 'generators': [5160, 40284726, 356995102827007, 357001329847801, 1307674368001], 'label': '387072.a.12096.bi3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.bi4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250110
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.cs1', '6048.cs2', '6048.ct1', '6048.df1', '6048.dj2'], 'contains': ['24192.g1', '24192.g3', '24192.g7', '24192.g6', '24192.g9', '24192.g10', '24192.p2', '24192.p4', '24192.p7', '24192.p10', '24192.p11', '24192.p14', '24192.q2', '24192.r5', '24192.cr4', '24192.cr8', '24192.cr12', '24192.cr13', '24192.cr14', '24192.cx1', '24192.cx7', '24192.cx11', '24192.cy1', '24192.cy2', '24192.dn8', '24192.dn9', '24192.dp1', '24192.dq2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6907, -1, 8612, -1], 'generators': [5160, 40284726, 357001369406641, 356995142385840, 1307674368001], 'label': '387072.a.12096.bi5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250111
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.cs2', '6048.cs3', '6048.ct1', '6048.df2', '6048.dj2'], 'contains': ['24192.g4', '24192.g3', '24192.g8', '24192.g5', '24192.g10', '24192.g12', '24192.p3', '24192.p4', '24192.p8', '24192.p10', '24192.p14', '24192.p13', '24192.q2', '24192.q3', '24192.r6', '24192.cr8', '24192.cr9', '24192.cr11', '24192.cr13', '24192.cr19', '24192.cr21', '24192.cx13', '24192.cx14', '24192.cx15', '24192.cy3', '24192.cy4', '24192.cy5', '24192.dn8', '24192.dn10', '24192.dp2', '24192.dq3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7452, -1, 8725, -1], 'generators': [5160, 40284726, 356995102827000, 1307674368001, 357001369406646], 'label': '387072.a.12096.bi6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250113
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.cs3', '6048.ct1', '6048.df1', '6048.dj2'], 'contains': ['24192.g2', '24192.g4', '24192.g8', '24192.g5', '24192.g9', '24192.g11', '24192.p2', '24192.p7', '24192.p9', '24192.p10', '24192.p12', '24192.p11', '24192.q2', '24192.q3', '24192.r6', '24192.cr6', '24192.cr4', '24192.cr8', '24192.cr16', '24192.cr20', '24192.cx4', '24192.cx10', '24192.cx12', '24192.cy3', '24192.cy6', '24192.dn9', '24192.dn11', '24192.dp3', '24192.dq4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5717, -1, 8626, -1], 'generators': [5160, 40284726, 356995142748840, 1307674368001, 357001329484806], 'label': '387072.a.12096.bi7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250114
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.cs3', '6048.ct1', '6048.df2', '6048.dj1'], 'contains': ['24192.g2', '24192.g1', '24192.g7', '24192.g6', '24192.g11', '24192.g12', '24192.p3', '24192.p8', '24192.p9', '24192.p10', '24192.p12', '24192.p13', '24192.q3', '24192.r5', '24192.cr7', '24192.cr5', '24192.cr11', '24192.cr14', '24192.cr15', '24192.cr17', '24192.cx4', '24192.cx5', '24192.cx15', '24192.cy6', '24192.cy7', '24192.cy8', '24192.dn10', '24192.dn11', '24192.dp4', '24192.dq1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6325, -1, 8739, -1], 'generators': [357001329847806, 5160, 126, 356995142748847, 1307674368001], 'label': '387072.a.12096.bi8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250115
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs1', '6048.cs3', '6048.ct1', '6048.df2', '6048.dj1'], 'contains': ['24192.g7', '24192.g5', '24192.g6', '24192.g15', '24192.g16', '24192.p1', '24192.p5', '24192.p6', '24192.p10', '24192.p11', '24192.p14', '24192.q4', '24192.r5', '24192.cr5', '24192.cr9', '24192.cr10', '24192.cr11', '24192.cr15', '24192.cx2', '24192.cx8', '24192.cx10', '24192.cy7', '24192.cy9', '24192.dn8', '24192.dn9', '24192.dp1', '24192.dq2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6797, -1, 8640, -1], 'generators': [5160, 40284726, 357001369769641, 356995142748840, 1307674368001], 'label': '387072.a.12096.bi9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250116
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs2', '6048.cs3', '6048.ct1', '6048.df1', '6048.dj2'], 'contains': ['24192.g9', '24192.g11', '24192.g13', '24192.g14', '24192.g16', '24192.g17', '24192.p4', '24192.p6', '24192.p9', '24192.p12', '24192.p14', '24192.p13', '24192.q2', '24192.q4', '24192.r3', '24192.cr6', '24192.cr4', '24192.cr10', '24192.cr12', '24192.cr13', '24192.cr20', '24192.cx3', '24192.cx6', '24192.cx14', '24192.cy3', '24192.cy4', '24192.cy8', '24192.dn12', '24192.dp4', '24192.dq2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7457, -1, 8697, -1], 'generators': [5160, 40284726, 357001329847801, 356995102827000, 1307674368001], 'label': '387072.a.12096.bi10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi10', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250117
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs2', '6048.cs3', '6048.ct1', '6048.df2', '6048.dj1'], 'contains': ['24192.g10', '24192.g13', '24192.g14', '24192.g15', '24192.g17', '24192.p5', '24192.p8', '24192.p9', '24192.p12', '24192.p11', '24192.p14', '24192.q3', '24192.q4', '24192.r7', '24192.cr7', '24192.cr5', '24192.cr9', '24192.cr17', '24192.cr18', '24192.cx3', '24192.cx7', '24192.cx9', '24192.cy5', '24192.cy8', '24192.cy9', '24192.dn9', '24192.dn10', '24192.dp3', '24192.dq3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7319, -1, 8669, -1], 'generators': [5160, 40284721, 356995102827007, 1307674368001, 357001369406646], 'label': '387072.a.12096.bi11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250118
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi12', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs2', '6048.ct1', '6048.df2', '6048.dj2'], 'contains': ['24192.g9', '24192.g12', '24192.g13', '24192.g15', '24192.g16', '24192.p4', '24192.p5', '24192.p8', '24192.p12', '24192.p14', '24192.p13', '24192.q1', '24192.q2', '24192.r7', '24192.cr8', '24192.cr10', '24192.cr11', '24192.cr16', '24192.cr18', '24192.cr19', '24192.cx6', '24192.cx8', '24192.cx16', '24192.cy1', '24192.cy10', '24192.dn10', '24192.dn12', '24192.dp5', '24192.dq3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7446, -1, 8711, -1], 'generators': [5160, 40284721, 356995102464000, 1307674368001, 357001369406646], 'label': '387072.a.12096.bi12', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi12', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi12', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250119
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi13', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs3', '6048.ct1', '6048.df1', '6048.dj1'], 'contains': ['24192.g11', '24192.g12', '24192.g13', '24192.g14', '24192.g16', '24192.g17', '24192.p6', '24192.p7', '24192.p11', '24192.p13', '24192.q3', '24192.q4', '24192.r7', '24192.cr6', '24192.cr7', '24192.cr10', '24192.cr14', '24192.cx1', '24192.cx2', '24192.cx13', '24192.cy5', '24192.cy6', '24192.cy7', '24192.dn8', '24192.dn11', '24192.dp6', '24192.dq4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6902, -1, 8683, -1], 'generators': [5160, 40284726, 357001369406641, 356995102464000, 1307674368001], 'label': '387072.a.12096.bi13', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi13', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi13', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250120
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi14', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs3', '6048.ct1', '6048.df2', '6048.dj2'], 'contains': ['24192.g7', '24192.g8', '24192.g6', '24192.g14', '24192.g17', '24192.p1', '24192.p5', '24192.p6', '24192.p10', '24192.p12', '24192.p13', '24192.q1', '24192.q4', '24192.r6', '24192.cr9', '24192.cr13', '24192.cr14', '24192.cr16', '24192.cr18', '24192.cr21', '24192.cx5', '24192.cx11', '24192.cx17', '24192.cy5', '24192.cy6', '24192.cy8', '24192.dn11', '24192.dn12', '24192.dp5', '24192.dq4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7097, -1, 8654, -1], 'generators': [5160, 40284726, 356995102464000, 357001369769641, 1307674368001], 'label': '387072.a.12096.bi14', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi14', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi14', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250121
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bi15', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.de3', '6048.df1', '6048.df2'], 'contains': ['24192.p5', '24192.p6', '24192.p7', '24192.p8', '24192.p9', '24192.p12', '24192.p11', '24192.p14', '24192.p13', '24192.r2', '24192.t6', '24192.t7', '24192.cr2', '24192.cr3', '24192.cr5', '24192.cr9', '24192.cr10', '24192.cr13', '24192.cr14', '24192.cr16', '24192.dk3', '24192.dn1', '24192.dn3', '24192.dn6', '24192.dn5', '24192.dn13', '24192.dn14', '24192.do5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5639, -1, 8598, -1], 'generators': [5160, 40284726, 356995142385847, 357001369769641, 1307674368001], 'label': '387072.a.12096.bi15', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bi15', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bi15', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250122
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.ba1', '6048.bb2', '6048.bb1', '6048.bc1', '6048.bd1', '6048.be1', '6048.bf1', '6048.bm1', '6048.bn2', '6048.bn1', '6048.bq2', '6048.bq1', '6048.br1', '6048.dk1'], 'contains': ['24192.h2', '24192.h1', '24192.i1', '24192.n2', '24192.s1', '24192.cu1', '24192.cu3', '24192.cu2', '24192.dv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1721, -1, 4676, -1], 'generators': [121, 357001329852726, 1108954416735217, 356995102464000, 1307674368001], 'label': '387072.a.12096.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bj1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250123
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '756.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['378.b1'], 'contains': ['1512.b1', '1512.b2', '1512.b5', '1512.b4', '1512.b3', '1512.c3', '1512.c1', '1512.c2', '1512.c4', '1512.c5', '1512.d1', '1512.i2', '1512.i1', '1512.i3', '1512.j1', '1512.j2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2309, -1, 3773, -1], 'generators': [5160, 121, 4127382519326782, 357001329484801, 4538937516860177, 356995102464000, 1108948190077423, 363007, 1307674731001], 'label': '387072.a.756.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '756.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.a1', 'subgroup_fusion': None, 'weyl_group': '512.8840081'}
  • id: 66250124
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.ba1', '6048.be1', '6048.bg2', '6048.bg1', '6048.bh1', '6048.bi1', '6048.bj1', '6048.bo2', '6048.bo1', '6048.bp1', '6048.bq2', '6048.bq1', '6048.bs1', '6048.dl1'], 'contains': ['24192.j2', '24192.j1', '24192.k1', '24192.n1', '24192.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1462, -1, 4218, -1], 'generators': [1108954417093057, 121, 357001329852726, 356995102464000, 1307674368001], 'label': '387072.a.12096.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bk1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250125
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bb2', '6048.bb1', '6048.bc1', '6048.bg2', '6048.bg1', '6048.bh1', '6048.bm1', '6048.bo2', '6048.bo1', '6048.bt2', '6048.bt1', '6048.bu1', '6048.dk1'], 'contains': ['24192.l1', '24192.s1', '24192.cv1', '24192.dw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1647, -1, 4706, -1], 'generators': [121, 357001329852726, 754574703287023, 356995102464000, 1307674368001], 'label': '387072.a.12096.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.bl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bl1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250126
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bb2', '6048.bb1', '6048.bd1', '6048.bg2', '6048.bg1', '6048.bi1', '6048.bn2', '6048.bn1', '6048.bp1', '6048.bt2', '6048.bt1', '6048.bv1', '6048.dl1'], 'contains': ['24192.m1', '24192.s1', '24192.cw2', '24192.cw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6470, -1, 8561, -1], 'generators': [121, 357001329852726, 754574702919103, 356995102464000, 1307674368001], 'label': '387072.a.12096.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.f1', 'old_label': '12096.bm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bm1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250127
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.g1', '6048.bk1', '6048.bl1', '6048.by1', '6048.by2', '6048.bz1', '6048.cs1', '6048.dj1'], 'contains': ['24192.o2', '24192.o4', '24192.r5', '24192.cx2', '24192.cx9', '24192.dp1', '24192.dx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3615, -1, 7125, -1], 'generators': [357001369769646, 5160, 1307714652846, 126, 356995142385840], 'label': '387072.a.12096.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '12096.bn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bn1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66250128
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bk2', '6048.bl2', '6048.by1', '6048.by2', '6048.bz1', '6048.cs3', '6048.dj2'], 'contains': ['24192.o2', '24192.o1', '24192.o4', '24192.o5', '24192.r5', '24192.r6', '24192.cx6', '24192.cx11', '24192.cx12', '24192.cx14', '24192.cx16', '24192.cx17', '24192.dp3', '24192.dp4', '24192.dp6', '24192.dx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3686, -1, 7604, -1], 'generators': [5160, 126, 357001369406641, 356995102464000, 1307674368001], 'label': '387072.a.12096.bn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.bn2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bn2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250129
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bn3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.by2', '6048.bz1', '6048.cs2', '6048.cs3', '6048.dj1', '6048.dj2'], 'contains': ['24192.o3', '24192.o4', '24192.o5', '24192.o6', '24192.r3', '24192.r5', '24192.r6', '24192.r7', '24192.cx3', '24192.cx4', '24192.cx1', '24192.cx5', '24192.cx7', '24192.cx8', '24192.cx10', '24192.cx13', '24192.cx15', '24192.dp1', '24192.dp2', '24192.dp3', '24192.dp4', '24192.dp5', '24192.dx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4107, -1, 7646, -1], 'generators': [5160, 126, 356995102464000, 357001329847801, 1307674368001], 'label': '387072.a.12096.bn3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bn3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bn3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250130
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bm1', '6048.bn2', '6048.bn1', '6048.bo2', '6048.bo1', '6048.bp1', '6048.bx1', '6048.ct1', '6048.dm1'], 'contains': ['24192.p1', '24192.p3', '24192.p2', '24192.q2', '24192.q3', '24192.s1', '24192.cy2', '24192.cy4', '24192.cy9', '24192.cy10', '24192.dn11', '24192.do6', '24192.du2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [4344, -1, 8047, -1], 'generators': [5160, 121, 356995142748840, 1307674368001, 357001329484806], 'label': '387072.a.12096.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '12096.bo1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bo1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250131
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.ct1', '6048.dm1'], 'contains': ['24192.p4', '24192.p5', '24192.p6', '24192.p7', '24192.p8', '24192.p9', '24192.q1', '24192.q2', '24192.q3', '24192.q4', '24192.s2', '24192.cy1', '24192.cy3', '24192.cy5', '24192.cy6', '24192.cy7', '24192.cy8', '24192.dn8', '24192.dn9', '24192.dn10', '24192.dn12', '24192.do2', '24192.do4', '24192.do6', '24192.du1', '24192.du2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5357, -1, 8355, -1], 'generators': [5160, 121, 356995142385847, 357001369769641, 1307674368001], 'label': '387072.a.12096.bo2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bo2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bo2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250132
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bq2', '6048.bq1', '6048.br1', '6048.bs1', '6048.bt2', '6048.bt1', '6048.bt3', '6048.bu1', '6048.bv1', '6048.bw1', '6048.bx1', '6048.by1', '6048.bz1', '6048.df2', '6048.dm1'], 'contains': ['24192.o2', '24192.o1', '24192.o3', '24192.r1', '24192.r4', '24192.r5', '24192.r6', '24192.s1', '24192.dn7', '24192.dn10', '24192.dn13', '24192.dn14', '24192.dt1', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [2758, -1, 6481, -1], 'generators': [5160, 126, 356995142385847, 357001369406641, 1307674368001], 'label': '387072.a.12096.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '12096.bp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bp1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250133
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.by2', '6048.bz1', '6048.df1', '6048.df2', '6048.dm1'], 'contains': ['24192.o4', '24192.o5', '24192.o6', '24192.r2', '24192.r3', '24192.r4', '24192.r5', '24192.r6', '24192.r7', '24192.s2', '24192.dn1', '24192.dn2', '24192.dn3', '24192.dn4', '24192.dn6', '24192.dn5', '24192.dn8', '24192.dn9', '24192.dn11', '24192.dn12', '24192.dt1', '24192.dt2', '24192.dt3', '24192.dt4', '24192.dy1', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3835, -1, 7394, -1], 'generators': [5160, 121, 357001369769641, 356995102827000, 1307674368001], 'label': '387072.a.12096.bp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.bp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bp2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250134
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '756.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1', '378.b1'], 'contains': ['1512.c3', '1512.c1', '1512.c2', '1512.c4', '1512.c5', '1512.d1', '1512.e1', '1512.j1', '1512.j2', '1512.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2226, -1, 3612, -1], 'generators': [5160, 121, 4127382519326782, 1108948190077416, 357001329484801, 4538937516860177, 356995102464000, 363007, 1307674731001], 'label': '387072.a.756.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '756.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.b1', 'subgroup_fusion': None, 'weyl_group': '1536.408540902'}
  • id: 66250135
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.h1', '6048.bz1', '6048.ct1', '6048.dn1'], 'contains': ['24192.r3', '24192.r5', '24192.r6', '24192.r7', '24192.s1', '24192.s2', '24192.dq1', '24192.dq2', '24192.dq3', '24192.dq4', '24192.du1', '24192.du2', '24192.dz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3178, -1, 6892, -1], 'generators': [5160, 121, 356995102464000, 357001369769641, 1307674368001], 'label': '387072.a.12096.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.bq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bq1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250136
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.i1', '6048.ce1'], 'contains': ['24192.v2', '24192.v3', '24192.bc1', '24192.bl1', '24192.bm1', '24192.bm3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [27, -1, 1203, -1], 'generators': [356995102464121, 4127388746705302, 357001329852847, 754568435986423, 4894618718298263], 'label': '387072.a.12096.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.m1', 'old_label': '12096.br1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.br1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66250137
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.o1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.ce1', '6048.cf1'], 'contains': ['24192.v1', '24192.v2', '24192.v3', '24192.x2', '24192.x3', '24192.bl1', '24192.bm1', '24192.bm2', '24192.bm3', '24192.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [60, -1, 1179, -1], 'generators': [356995102464121, 4127388746705302, 357001329852847, 754568435986423, 4538937516860182], 'label': '387072.a.12096.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '12096.bs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bs1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250138
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.p1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.ce1', '6048.cf1'], 'contains': ['24192.v2', '24192.v3', '24192.x1', '24192.x2', '24192.x3', '24192.bm1', '24192.bm3', '24192.bn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [78, -1, 1259, -1], 'generators': [356995102464121, 4540238964207377, 4127388746705302, 357001329852847, 754568435986423], 'label': '387072.a.12096.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bl1', 'old_label': '12096.bt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bt1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250139
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.j1', '6048.cf1'], 'contains': ['24192.x2', '24192.x3', '24192.z1', '24192.bm2', '24192.bn1', '24192.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [333, -1, 1095, -1], 'generators': [356995102464121, 4127388746705302, 357001329852847, 4538937516860182, 1110255864440383], 'label': '387072.a.12096.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.m1', 'old_label': '12096.bu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bu1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66250140
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.b1', '6048.c1', '6048.e1', '6048.n3', '6048.cg6', '6048.ch1'], 'contains': ['24192.u2', '24192.w2', '24192.ba1', '24192.bd1', '24192.bf2', '24192.bh1', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [797, -1, 3231, -1], 'generators': [1307674373047, 355693655479800, 4538937517223056, 355687428101166, 1108948190072382], 'label': '387072.a.12096.bv4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv4', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250141
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.b2', '6048.c1', '6048.e2', '6048.n3', '6048.cg6', '6048.ch4'], 'contains': ['24192.u2', '24192.w1', '24192.ba2', '24192.bd2', '24192.bf2', '24192.bh1', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [820, -1, 3290, -1], 'generators': [1307674373047, 355693655479800, 4540245191591057, 355687428101166, 1108948190072382], 'label': '387072.a.12096.bv5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bv2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv5', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250142
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.c2', '6048.d1', '6048.f1', '6048.l1', '6048.cg1', '6048.cg6'], 'contains': ['24192.w1', '24192.w2', '24192.ba1', '24192.ba2', '24192.be2', '24192.bj1', '24192.bj4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [846, -1, 3047, -1], 'generators': [356995102464121, 1307674373166, 4895932619687056, 357001329852847, 1108948190072382], 'label': '387072.a.12096.bv6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bv3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv6', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250143
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.b1', '6048.c2', '6048.e1', '6048.n4', '6048.cg6', '6048.ch1'], 'contains': ['24192.u1', '24192.w2', '24192.ba1', '24192.bd1', '24192.bf1', '24192.bh2', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [790, -1, 3215, -1], 'generators': [4894624944956183, 1307674373047, 355693655479800, 355687428101166, 1108948190072382], 'label': '387072.a.12096.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bv4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250144
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.b2', '6048.c2', '6048.e2', '6048.n4', '6048.cg6', '6048.ch4'], 'contains': ['24192.u1', '24192.w1', '24192.ba2', '24192.bd2', '24192.bf1', '24192.bh2', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [834, -1, 3256, -1], 'generators': [4895932619324182, 1307674373047, 355693655479800, 355687428101166, 1108948190072382], 'label': '387072.a.12096.bv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bv5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250145
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '756.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['378.a1', '378.c1'], 'contains': ['1512.h1', '1512.l1', '1512.m1', '1512.n1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 189, 'diagramx': [3275, -1, 5185, -1], 'generators': [5160, 121, 754574702919096, 4894618758220222, 357001329484801, 356995102464000, 7, 1307674368001, 363000], 'label': '387072.a.756.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '189.a1', 'old_label': '756.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.c1', 'subgroup_fusion': None, 'weyl_group': '512.254238'}
  • id: 66250146
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.c1', '6048.d2', '6048.f2', '6048.l1', '6048.cg1', '6048.cg6'], 'contains': ['24192.w1', '24192.w2', '24192.ba1', '24192.ba2', '24192.be1', '24192.bj2', '24192.bj4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [856, -1, 3024, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 357001329852847, 4538937517223056], 'label': '387072.a.12096.bv3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bv6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv3', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250147
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.n1', '6048.ca1', '6048.cb2', '6048.cc1', '6048.cd2', '6048.cg5', '6048.ch2'], 'contains': ['24192.be1', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1013, -1, 2358, -1], 'generators': [355687428464040, 357001329489840, 4538937516860182, 1108948190077302, 363007], 'label': '387072.a.12096.bv7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '12096.bv7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv7', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250148
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.n2', '6048.ca1', '6048.cb1', '6048.cc1', '6048.cd1', '6048.cg2', '6048.ch3'], 'contains': ['24192.be1', '24192.bj2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1217, -1, 2378, -1], 'generators': [753266989002223, 1307674373166, 356995102826886, 357001329852847, 4538937516865342], 'label': '387072.a.12096.bv8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '12096.bv8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv8', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250149
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.n2', '6048.ca1', '6048.cb2', '6048.cc1', '6048.cd2', '6048.cg4', '6048.ch3'], 'contains': ['24192.be2', '24192.bj2', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1825, -1, 2444, -1], 'generators': [1307674373166, 356995102826886, 357001329852847, 4538937516865342, 753260761981422], 'label': '387072.a.12096.bv10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '12096.bv9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv10', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250150
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bv9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.n2', '6048.ca1', '6048.cb2', '6048.cc1', '6048.cd2', '6048.cg3', '6048.ch3'], 'contains': ['24192.be2', '24192.bj2', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1750, -1, 2424, -1], 'generators': [1307674373166, 356995102826886, 357001329852847, 4894624945324222, 753260761981422], 'label': '387072.a.12096.bv9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '12096.bv10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bv9', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250151
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.d1', '6048.m1', '6048.cb2', '6048.ci1', '6048.ci2'], 'contains': ['24192.u2', '24192.bb1', '24192.be2', '24192.bi1', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [526, -1, 2505, -1], 'generators': [356995102464121, 1307674373166, 357001329852847, 4894624945319057, 1108948190072382], 'label': '387072.a.12096.bw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.bw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bw2', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66250152
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a1', '6048.d2', '6048.m1', '6048.cb1', '6048.cb2', '6048.ci1', '6048.ci2'], 'contains': ['24192.u1', '24192.bb1', '24192.be1', '24192.bi1', '24192.bj2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [540, -1, 2471, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 4894624944956183, 357001329852847], 'label': '387072.a.12096.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.bw2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bw1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66250153
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bw3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.d1', '6048.d2', '6048.k1', '6048.ch4', '6048.ci2'], 'contains': ['24192.v1', '24192.w2', '24192.bb1', '24192.be3', '24192.bh2', '24192.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [475, -1, 2664, -1], 'generators': [753266989002102, 4894624944956183, 1307674373047, 355693655479800, 355687428101166], 'label': '387072.a.12096.bw3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bw3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bw3', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250154
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bw4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b2', '6048.d1', '6048.d2', '6048.k1', '6048.ch1', '6048.ci3'], 'contains': ['24192.u2', '24192.u1', '24192.ba1', '24192.bc1', '24192.be3', '24192.bh2', '24192.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [438, -1, 2639, -1], 'generators': [753266989002102, 4895932619324182, 1307674373047, 355693655479800, 355687428101166], 'label': '387072.a.12096.bw4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bw4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bw4', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250155
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.d1', '6048.e2', '6048.f2', '6048.n4', '6048.ch4', '6048.ci3'], 'contains': ['24192.u2', '24192.v1', '24192.y1', '24192.ba2', '24192.be3', '24192.bf1', '24192.bh2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [614, -1, 2730, -1], 'generators': [753266989002102, 4895932619687056, 1307674373047, 355693655479800, 355687428101166], 'label': '387072.a.12096.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bx1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250156
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '756.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.b1', '378.a1', '378.b1', '378.c1'], 'contains': ['1512.i2', '1512.i1', '1512.i3', '1512.j1', '1512.j2', '1512.k1', '1512.m1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [2539, -1, 3899, -1], 'generators': [5160, 121, 1108948190072263, 4540245191228183, 357001329484801, 356995102464000, 7, 1307674368001, 363000], 'label': '387072.a.756.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '756.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.d1', 'subgroup_fusion': None, 'weyl_group': '1536.408527554'}
  • id: 66250157
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b1', '6048.d2', '6048.e2', '6048.f1', '6048.n3', '6048.ch4', '6048.ci3'], 'contains': ['24192.u1', '24192.v1', '24192.y1', '24192.ba2', '24192.be3', '24192.bf2', '24192.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [623, -1, 2710, -1], 'generators': [753266989002102, 4538937516860182, 1307674373047, 355693655479800, 355687428101166], 'label': '387072.a.12096.bx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bx2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bx2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250158
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bx3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b2', '6048.d1', '6048.e1', '6048.f2', '6048.n4', '6048.ch4', '6048.ci2'], 'contains': ['24192.u2', '24192.w1', '24192.x1', '24192.bb1', '24192.be3', '24192.bf1', '24192.bh2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [461, -1, 2796, -1], 'generators': [753266989002102, 1307674373047, 4894624945319057, 355693655479800, 355687428101166], 'label': '387072.a.12096.bx3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bx3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bx3', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250159
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bx4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.b2', '6048.d2', '6048.e1', '6048.f1', '6048.n3', '6048.ch4', '6048.ci2'], 'contains': ['24192.u1', '24192.w1', '24192.x1', '24192.bb1', '24192.be3', '24192.bf2', '24192.bh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [494, -1, 2776, -1], 'generators': [753266989002102, 4540245191228183, 1307674373047, 355693655479800, 355687428101166], 'label': '387072.a.12096.bx4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bx4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bx4', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250160
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bx5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.d1', '6048.d2', '6048.f1', '6048.f2', '6048.l1', '6048.cg6', '6048.ci1'], 'contains': ['24192.u2', '24192.u1', '24192.y1', '24192.bb1', '24192.be2', '24192.be1', '24192.bj4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [423, -1, 2561, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 357001329852847, 4540245191228183], 'label': '387072.a.12096.bx5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bx5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bx5', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250161
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.d1', '6048.d2', '6048.m1', '6048.ca1', '6048.ce1', '6048.ci3', '6048.cj1'], 'contains': ['24192.v1', '24192.v2', '24192.v3', '24192.x1', '24192.bc1', '24192.be2', '24192.be1', '24192.bi1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [389, -1, 2334, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 357001329852847, 4538937516860182], 'label': '387072.a.12096.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.by1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.by1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66250162
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.c2', '6048.c1', '6048.e1', '6048.e2', '6048.o1', '6048.cg6', '6048.ch4'], 'contains': ['24192.w1', '24192.w2', '24192.y1', '24192.bd2', '24192.bf2', '24192.bf1', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [886, -1, 3568, -1], 'generators': [4538937516860182, 1307674373047, 355693655479800, 355687428101166, 1108948190072382], 'label': '387072.a.12096.bz2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bz2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250163
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.c2', '6048.c1', '6048.e1', '6048.e2', '6048.o1', '6048.cg6', '6048.ch4'], 'contains': ['24192.w1', '24192.w2', '24192.y1', '24192.bd2', '24192.bf2', '24192.bf1', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [869, -1, 3588, -1], 'generators': [4540245191228183, 1307674373047, 355693655479800, 355687428101166, 1108948190072382], 'label': '387072.a.12096.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.bz2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bz1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250164
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.bz3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.c2', '6048.c1', '6048.p1', '6048.cc1', '6048.cg1', '6048.ci2'], 'contains': ['24192.w1', '24192.w2', '24192.bg1', '24192.bj2', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1761, -1, 2966, -1], 'generators': [356995102464121, 4895932619324182, 1307674373166, 357001329852847, 1108948190072382], 'label': '387072.a.12096.bz3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.bz3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.bz3', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66250165
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ca2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.c2', '6048.f1', '6048.p1', '6048.cd2', '6048.ci1', '6048.ci3'], 'contains': ['24192.u1', '24192.y1', '24192.be2', '24192.bg1', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [806, -1, 2586, -1], 'generators': [356995102464121, 1307674373166, 357001329852847, 4540245191228183, 1108948190072382], 'label': '387072.a.12096.ca2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.ca1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ca2', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66250166
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.c1', '6048.f2', '6048.p1', '6048.cd1', '6048.cd2', '6048.ci1', '6048.ci3'], 'contains': ['24192.u2', '24192.y1', '24192.be1', '24192.bg1', '24192.bj2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [780, -1, 2536, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 357001329852847, 4540245191591057], 'label': '387072.a.12096.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.ca2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ca1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66250167
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '756.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['378.c1'], 'contains': ['1512.h1', '1512.i3', '1512.l1', '1512.s1', '1512.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [3006, -1, 5102, -1], 'generators': [121, 367920, 4894618758220222, 754574702919103, 356995142748847, 1307674368001, 40284847, 363007, 357001369406646], 'label': '387072.a.756.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.c1', 'old_label': '756.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.e1', 'subgroup_fusion': None, 'weyl_group': '256.8935'}
  • id: 66250168
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ca3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.e1', '6048.f1', '6048.f2', '6048.o1', '6048.ch4', '6048.ci3'], 'contains': ['24192.x1', '24192.y1', '24192.ba1', '24192.be3', '24192.bf2', '24192.bf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [633, -1, 2843, -1], 'generators': [753266989002102, 1307674373047, 355693655479800, 4538937517223056, 355687428101166], 'label': '387072.a.12096.ca3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.ca3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ca3', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250169
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ca4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.e2', '6048.f1', '6048.f2', '6048.o1', '6048.ch1', '6048.ci2'], 'contains': ['24192.u2', '24192.u1', '24192.w2', '24192.z1', '24192.be3', '24192.bf2', '24192.bf1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [450, -1, 2820, -1], 'generators': [753266989002102, 1307674373047, 355693655479800, 4540245191591057, 355687428101166], 'label': '387072.a.12096.ca4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.ca4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ca4', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250170
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.k1', '6048.n1', '6048.cb1', '6048.cd1', '6048.ce1', '6048.cf1', '6048.ch2', '6048.cj1'], 'contains': ['24192.v2', '24192.x2', '24192.be1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [320, -1, 2261, -1], 'generators': [753260761976262, 355687428464040, 357001329489840, 4538937516860182, 363007], 'label': '387072.a.12096.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '12096.cb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cb1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66250171
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j3', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.n2', '6048.cb2', '6048.cd2', '6048.ce1', '6048.cf1', '6048.ch3', '6048.cj1'], 'contains': ['24192.v2', '24192.v3', '24192.x2', '24192.x3', '24192.be2', '24192.be1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [306, -1, 2281, -1], 'generators': [753266989002223, 1307674373166, 356995102826886, 357001329852847, 4894624945324222], 'label': '387072.a.12096.cb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.e1', 'old_label': '12096.cb2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cb2', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250172
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.k1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.f1', '6048.f2', '6048.p1', '6048.cc1', '6048.cf1', '6048.ci2', '6048.cj1'], 'contains': ['24192.v1', '24192.x1', '24192.x2', '24192.x3', '24192.z1', '24192.be2', '24192.be1', '24192.bg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [400, -1, 2401, -1], 'generators': [356995102464121, 753266989002223, 1307674373166, 4895932619687056, 357001329852847], 'label': '387072.a.12096.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.cc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cc1', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66250173
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.a1', '6048.b1', '6048.b2', '6048.k1', '6048.cg6', '6048.ch4'], 'contains': ['24192.ba1', '24192.ba2', '24192.bb1', '24192.bd2', '24192.bh2', '24192.bh1', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [705, -1, 3159, -1], 'generators': [4895932619687056, 1307674373047, 355693655479800, 355687428101166, 1108948190072382], 'label': '387072.a.12096.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.cd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cd1', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250174
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.a1', '6048.b1', '6048.b2', '6048.k1', '6048.cg6', '6048.ch4'], 'contains': ['24192.ba1', '24192.ba2', '24192.bb1', '24192.bd2', '24192.bh2', '24192.bh1', '24192.bj3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [724, -1, 3178, -1], 'generators': [1307674373047, 4894624945319057, 355693655479800, 355687428101166, 1108948190072382], 'label': '387072.a.12096.cd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.cd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cd2', 'subgroup_fusion': None, 'weyl_group': '64.267'}
  • id: 66250175
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cd3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.a1', '6048.m1', '6048.ca1', '6048.cg1', '6048.ci3'], 'contains': ['24192.ba1', '24192.ba2', '24192.bi1', '24192.bj2', '24192.bj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1254, -1, 2616, -1], 'generators': [356995102464121, 1307674373166, 357001329852847, 4538937517223056, 1108948190072382], 'label': '387072.a.12096.cd3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.cd3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cd3', 'subgroup_fusion': None, 'weyl_group': '64.202'}
  • id: 66250176
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.m1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.a2', '6048.a1', '6048.c2', '6048.c1', '6048.l1', '6048.cg6', '6048.ck1'], 'contains': ['24192.bd1', '24192.bd2', '24192.bj2', '24192.bj1', '24192.bj4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1842, -1, 3491, -1], 'generators': [356995102464121, 1307674373166, 4894624944956183, 357001329852847, 1108948190072382], 'label': '387072.a.12096.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.ce1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ce1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 66250177
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.q2', '6048.q5', '6048.cg6', '6048.ch2', '6048.ch3', '6048.ci2', '6048.ci3'], 'contains': ['24192.be1', '24192.bf2', '24192.bh2', '24192.bj1', '24192.bk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1240, -1, 2997, -1], 'generators': [356995102831920, 1307674373166, 368041, 1108948190072382, 357001329484806], 'label': '387072.a.12096.cf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.cf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cf2', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250178
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '756.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.c1', '378.c1'], 'contains': ['1512.f1', '1512.g1', '1512.h1', '1512.k1', '1512.q1', '1512.r1', '1512.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2260, -1, 4944, -1], 'generators': [121, 367920, 754574702919096, 4894618758220222, 356995142748847, 1307674368001, 40284847, 363007, 357001369406646], 'label': '387072.a.756.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '756.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.f1', 'subgroup_fusion': None, 'weyl_group': '768.1083695'}
  • id: 66250179
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.q1', '6048.q4', '6048.cg6', '6048.ch3', '6048.ci2', '6048.ci3'], 'contains': ['24192.be2', '24192.bf1', '24192.bh1', '24192.bj2', '24192.bk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [1228, -1, 3349, -1], 'generators': [1307674735921, 753260761976383, 357001329484801, 368046, 356995102469160], 'label': '387072.a.12096.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.b1', 'old_label': '12096.cf2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cf1', 'subgroup_fusion': None, 'weyl_group': '32.46'}
  • id: 66250180
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cf3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.q3', '6048.q4', '6048.q5', '6048.ch1', '6048.ch4'], 'contains': ['24192.be3', '24192.bf2', '24192.bf1', '24192.bh2', '24192.bh1', '24192.bj3', '24192.bk3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1105, -1, 4058, -1], 'generators': [753260761981303, 357001329484801, 368046, 356995102469160, 1307674731001], 'label': '387072.a.12096.cf3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.k1', 'old_label': '12096.cf3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cf3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250181
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.l1', '6048.q2', '6048.q1', '6048.r1', '6048.cg4', '6048.cg5', '6048.cg3', '6048.cg1', '6048.cg2', '6048.ci1', '6048.cj1'], 'contains': ['24192.be2', '24192.be1', '24192.bg1', '24192.bi1', '24192.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [1856, -1, 3320, -1], 'generators': [356995102464121, 1307674735921, 753260761976262, 357001329489840, 363007], 'label': '387072.a.12096.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '12096.cg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cg1', 'subgroup_fusion': None, 'weyl_group': '192.1508'}
  • id: 66250182
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.l2', '6048.q3', '6048.r1', '6048.ci2', '6048.ci3'], 'contains': ['24192.be3', '24192.bg1', '24192.bi1', '24192.bk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [1881, -1, 2753, -1], 'generators': [753260761976383, 355687428463921, 355693655479800, 1307674736040, 363007], 'label': '387072.a.12096.cg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.b1', 'old_label': '12096.cg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cg2', 'subgroup_fusion': None, 'weyl_group': '192.1508'}
  • id: 66250199
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cm1', '6048.co2', '6048.cp1', '6048.cr1', '6048.dc1', '6048.dh1', '6048.di1'], 'contains': ['24192.bt1', '24192.bv3', '24192.ct2', '24192.dh1', '24192.dj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2338, -1, 5550, -1], 'generators': [1307714647686, 1110262131014976, 121, 356995102464000, 357001329489961], 'label': '387072.a.12096.cp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.cp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cp2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250183
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.q2', '6048.q1', '6048.t3', '6048.t2', '6048.t1', '6048.cg4', '6048.cg5', '6048.cg3', '6048.cg1', '6048.cg2', '6048.ci1', '6048.ck1', '6048.ck2', '6048.ck5', '6048.ck4', '6048.ck3'], 'contains': ['24192.bj2', '24192.bj1', '24192.bj4', '24192.bk1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1961, -1, 3988, -1], 'generators': [356995102464121, 1307674735921, 357001329489840, 363007, 1108948190072382], 'label': '387072.a.12096.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.b1', 'old_label': '12096.ch1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ch1', 'subgroup_fusion': None, 'weyl_group': '64.264'}
  • id: 66250184
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ch2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.q3', '6048.t3', '6048.t4', '6048.cg6'], 'contains': ['24192.bj3', '24192.bj4', '24192.bk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 378, 'diagramx': [1989, -1, 4441, -1], 'generators': [355687428463921, 355693655479800, 1307674736040, 363007, 1108948190072382], 'label': '387072.a.12096.ch2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '378.a1', 'old_label': '12096.ch2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ch2', 'subgroup_fusion': None, 'weyl_group': '64.90'}
  • id: 66250185
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl1', '6048.cl3', '6048.cy1'], 'contains': ['24192.bp1', '24192.bq1', '24192.br3', '24192.cd2', '24192.ce2', '24192.cg2', '24192.ci1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2875, -1, 6810, -1], 'generators': [1307714647686, 754574702919096, 356995102464000, 368046, 357001329489961], 'label': '387072.a.12096.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.ci1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ci1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250186
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ci2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl2', '6048.cl3', '6048.cy2'], 'contains': ['24192.bp1', '24192.bq1', '24192.br4', '24192.cd1', '24192.ce1', '24192.cg1', '24192.ci2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2888, -1, 6969, -1], 'generators': [357001369769646, 121, 1110255904357182, 356995102827007, 1307714647681], 'label': '387072.a.12096.ci2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.ci2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ci2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250187
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.m1', '6048.cl1', '6048.cl2', '6048.cz1'], 'contains': ['24192.bp1', '24192.br1', '24192.cc1', '24192.ch1', '24192.cj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2845, -1, 5488, -1], 'generators': [357001369769646, 121, 40279687, 753260761613376, 356995102827007], 'label': '387072.a.12096.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '12096.cj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cj1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66250188
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl1', '6048.cl2', '6048.cn1', '6048.cn2', '6048.dd1'], 'contains': ['24192.bq1', '24192.br1', '24192.cf1', '24192.ck1', '24192.cl1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4144, -1, 7716, -1], 'generators': [357001369769646, 121, 754574702919096, 40279687, 356995102827007], 'label': '387072.a.12096.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.ck1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ck1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250189
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '54.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '27.a1'], 'contains': ['378.b1', '432.a1', '432.b1', '432.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3115, -1, 2511, -1], 'generators': [5160, 121, 1108948190072263, 4127382519326782, 5633863716119638, 4540245191228183, 357001329484801, 356995102464000, 7, 1307674368001, 363000], 'label': '387072.a.54.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '54.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.a1', 'subgroup_fusion': None, 'weyl_group': '21504.cf'}
  • id: 66250190
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '756.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.a1', '252.d1', '252.e1', '378.c1'], 'contains': ['1512.a1', '1512.m1', '1512.n1', '1512.o1', '1512.p1', '1512.s1', '1512.t1', '1512.u1', '1512.v1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [4179, -1, 6071, -1], 'generators': [754574702919096, 357001369769646, 40284847, 1307674368001, 356995142748847, 121, 5160, 7, 363000], 'label': '387072.a.756.g1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '63.a1', 'old_label': '756.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '756.g1', 'subgroup_fusion': None, 'weyl_group': '384.5833'}
  • id: 66250191
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1728.a1', '4032.n1', '6048.de1'], 'contains': ['24192.t1', '24192.t2', '24192.bk1', '24192.bk2', '24192.br2', '24192.cm2', '24192.cr1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [8064, -1, 7464, -1], 'generators': [357001369769646, 39921966, 40279687, 356995142385840, 1307674368001], 'label': '387072.a.12096.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.c1', 'old_label': '12096.cl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cl1', 'subgroup_fusion': None, 'weyl_group': '21.1'}
  • id: 66250192
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.n2', '6048.de1', '6048.de3'], 'contains': ['24192.t2', '24192.t3', '24192.t4', '24192.t6', '24192.t7', '24192.bk2', '24192.bk3', '24192.br1', '24192.br4', '24192.br5', '24192.cm1', '24192.cm5', '24192.cm4', '24192.cr2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8087, -1, 8538, -1], 'generators': [5160, 1307714652846, 40284721, 356995102827000, 357001329484806], 'label': '387072.a.12096.cl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.cl2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cl2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250193
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cl3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.n3', '6048.de1', '6048.de2', '6048.de3'], 'contains': ['24192.t1', '24192.t3', '24192.t5', '24192.t4', '24192.t6', '24192.bk3', '24192.bk4', '24192.br2', '24192.br3', '24192.br5', '24192.cm3', '24192.cm6', '24192.cm7', '24192.cr3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8115, -1, 8584, -1], 'generators': [5160, 40284726, 357001329484801, 356995142748840, 1307674731001], 'label': '387072.a.12096.cl3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.cl3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cl3', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250194
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co2', '6048.cv1', '6048.dh1'], 'contains': ['24192.bs1', '24192.bt1', '24192.bu2', '24192.cs2', '24192.ct2', '24192.db3', '24192.dc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2090, -1, 4997, -1], 'generators': [362886, 356995102464000, 1110255864440383, 357001369406646, 1307674731001], 'label': '387072.a.12096.cm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '12096.cm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cm2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250195
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co1', '6048.cv1', '6048.dh1'], 'contains': ['24192.bs1', '24192.bt1', '24192.bu1', '24192.cs1', '24192.ct1', '24192.db3', '24192.dc1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2064, -1, 4967, -1], 'generators': [1307674373161, 1110262131014976, 40284726, 356995102464000, 357001369764486], 'label': '387072.a.12096.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '12096.cm2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cm1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250196
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl1', '6048.cq1', '6048.cy2'], 'contains': ['24192.bp1', '24192.bq1', '24192.bv1', '24192.co1', '24192.cp1', '24192.de2', '24192.dg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2863, -1, 6624, -1], 'generators': [754574702919096, 40284726, 356995142748847, 357001329489961, 1307674368001], 'label': '387072.a.12096.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.cn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cn1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250197
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl2', '6048.cq1', '6048.cy1'], 'contains': ['24192.bp1', '24192.bq1', '24192.bv2', '24192.co2', '24192.cp2', '24192.de1', '24192.dg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2749, -1, 6554, -1], 'generators': [1307714652846, 754574702919096, 40284726, 356995142748847, 357001329489961], 'label': '387072.a.12096.cn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.cn2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cn2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250198
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl3', '6048.co2', '6048.co1', '6048.cq1', '6048.cz1', '6048.dh1'], 'contains': ['24192.bp1', '24192.bs1', '24192.bv3', '24192.cn1', '24192.cs2', '24192.cs1', '24192.df1', '24192.dh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2233, -1, 4911, -1], 'generators': [1307714647686, 121, 753260761976383, 356995102464000, 357001329489961], 'label': '387072.a.12096.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.co1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.co1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250200
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cm1', '6048.co1', '6048.cp2', '6048.cr1', '6048.dc1', '6048.dh1', '6048.di1'], 'contains': ['24192.bt1', '24192.bv3', '24192.ct1', '24192.dh1', '24192.dj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2324, -1, 5444, -1], 'generators': [1307714647686, 121, 1108948190072263, 356995102464000, 357001329489961], 'label': '387072.a.12096.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.cp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cp1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250201
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '256.a1'], 'contains': ['6912.c1', '21504.c1', '27648.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 256, 'diagramx': [1753, -1, 22, -1], 'generators': [5642232744176950, 1507755077297710], 'label': '387072.a.768.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '256.a1', 'old_label': '768.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.a1', 'subgroup_fusion': None, 'weyl_group': '1512.779'}
  • id: 66250202
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl3', '6048.cp2', '6048.cp1', '6048.cq1', '6048.dd1', '6048.di1'], 'contains': ['24192.bq1', '24192.bv3', '24192.cq1', '24192.di1', '24192.dj1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3077, -1, 6779, -1], 'generators': [1307714647686, 121, 754574702919096, 356995102464000, 357001329489961], 'label': '387072.a.12096.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.cq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cq1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250203
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl1', '6048.cn1', '6048.cs1', '6048.cs2', '6048.de3', '6048.df2', '6048.dj2'], 'contains': ['24192.g3', '24192.g6', '24192.g9', '24192.g15', '24192.o4', '24192.p14', '24192.t4', '24192.t7', '24192.br1', '24192.br3', '24192.bu3', '24192.bu4', '24192.bv1', '24192.cr12', '24192.cr19', '24192.cx10', '24192.cx17', '24192.dk4', '24192.dn13'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6192, -1, 8341, -1], 'generators': [357001369769646, 5160, 40284726, 356995102464007, 1307674368001], 'label': '387072.a.12096.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.cr1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250204
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl2', '6048.cn2', '6048.cs2', '6048.de3', '6048.df2', '6048.dj1'], 'contains': ['24192.g10', '24192.g12', '24192.g13', '24192.g15', '24192.o6', '24192.p14', '24192.t6', '24192.br1', '24192.br4', '24192.bu2', '24192.bu5', '24192.bv2', '24192.cr15', '24192.cr17', '24192.cx2', '24192.cx5', '24192.dk5', '24192.dn7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6251, -1, 8425, -1], 'generators': [5160, 40284721, 356995142748847, 357001369769641, 1307674368001], 'label': '387072.a.12096.cr2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.cr2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250205
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cl3', '6048.cm1', '6048.cs3', '6048.de3', '6048.df2', '6048.dj2'], 'contains': ['24192.g2', '24192.g8', '24192.g12', '24192.g14', '24192.o5', '24192.p14', '24192.t4', '24192.t7', '24192.br3', '24192.br4', '24192.bu3', '24192.bu6', '24192.bv3', '24192.cr20', '24192.cr21', '24192.cx8', '24192.cx11', '24192.dk2', '24192.dn14'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5533, -1, 8327, -1], 'generators': [357001369769646, 5160, 40284726, 356995142385840, 1307674368001], 'label': '387072.a.12096.cr3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.cr3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250206
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs1', '6048.cs3', '6048.de1', '6048.de2', '6048.df2', '6048.dj1', '6048.dj2'], 'contains': ['24192.g1', '24192.g7', '24192.g5', '24192.g6', '24192.g10', '24192.g16', '24192.o2', '24192.o4', '24192.p10', '24192.p11', '24192.t1', '24192.t5', '24192.t4', '24192.t6', '24192.br2', '24192.br3', '24192.bu1', '24192.bu3', '24192.bu4', '24192.bv4', '24192.cr10', '24192.cr18', '24192.cx3', '24192.cx5', '24192.cx8', '24192.cx13', '24192.dk3', '24192.dn2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6573, -1, 8411, -1], 'generators': [357001369769646, 5160, 40284726, 356995102827007, 1307674368001], 'label': '387072.a.12096.cr4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.cr4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250207
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs2', '6048.cs3', '6048.de1', '6048.de3', '6048.df1', '6048.dj1'], 'contains': ['24192.g1', '24192.g5', '24192.g10', '24192.g11', '24192.g12', '24192.g13', '24192.g16', '24192.g17', '24192.o4', '24192.o6', '24192.p12', '24192.p11', '24192.t2', '24192.t5', '24192.t6', '24192.br4', '24192.br5', '24192.bu4', '24192.bu5', '24192.bv3', '24192.cr7', '24192.cr5', '24192.cx3', '24192.cx4', '24192.cx1', '24192.cx2', '24192.dk1', '24192.dn1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7259, -1, 8524, -1], 'generators': [357001369769646, 5160, 40284721, 356995142385847, 1307674368001], 'label': '387072.a.12096.cr5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.cr5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250208
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs2', '6048.cs3', '6048.de2', '6048.de3', '6048.df2', '6048.dj1', '6048.dj2'], 'contains': ['24192.g4', '24192.g7', '24192.g10', '24192.g14', '24192.g15', '24192.g16', '24192.g17', '24192.o3', '24192.o5', '24192.p10', '24192.p13', '24192.t5', '24192.t4', '24192.t6', '24192.br3', '24192.br5', '24192.bu2', '24192.bu4', '24192.bu5', '24192.bu6', '24192.bv4', '24192.cr11', '24192.cr14', '24192.cx4', '24192.cx6', '24192.cx9', '24192.cx15', '24192.dk3', '24192.dn5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7157, -1, 8467, -1], 'generators': [5160, 40284721, 356995142385847, 1307674368001, 357001329484806], 'label': '387072.a.12096.cr6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.cr6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250209
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs2', '6048.cs3', '6048.de3', '6048.df1', '6048.dj2'], 'contains': ['24192.g3', '24192.g8', '24192.g9', '24192.g13', '24192.g14', '24192.g16', '24192.o5', '24192.o6', '24192.p12', '24192.p13', '24192.t3', '24192.t5', '24192.t7', '24192.br4', '24192.br5', '24192.bu2', '24192.bu3', '24192.bu5', '24192.bu6', '24192.bv1', '24192.cr4', '24192.cr8', '24192.cx11', '24192.cx12', '24192.cx13', '24192.cx14', '24192.dk3', '24192.dn6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6748, -1, 8453, -1], 'generators': [357001369769646, 5160, 40284726, 356995142385847, 1307674368001], 'label': '387072.a.12096.cr7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.cr7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr7', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250210
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs3', '6048.de1', '6048.de3', '6048.df2', '6048.dj2'], 'contains': ['24192.g8', '24192.g5', '24192.g6', '24192.g11', '24192.g12', '24192.g13', '24192.g17', '24192.o1', '24192.o6', '24192.p10', '24192.p12', '24192.t1', '24192.t4', '24192.t7', '24192.br2', '24192.br5', '24192.bu3', '24192.bu4', '24192.bu6', '24192.bv4', '24192.cr13', '24192.cr16', '24192.cx7', '24192.cx14', '24192.cx15', '24192.cx16', '24192.dk4', '24192.dn3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7407, -1, 8496, -1], 'generators': [357001369769646, 5160, 40284726, 356995102827000, 1307674368001], 'label': '387072.a.12096.cr8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.cr8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250222
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.p1', '4032.q1', '6048.cu1'], 'contains': ['24192.a1', '24192.b1', '24192.d1', '24192.e1', '24192.bx1', '24192.by1', '24192.bz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1620, -1, 3918, -1], 'generators': [1307674735921, 40284721, 1108948190077416, 357001369401726, 356995102464000], 'label': '387072.a.12096.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '12096.cv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cv1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250211
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cr9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs3', '6048.de2', '6048.de3', '6048.df1', '6048.dj1', '6048.dj2'], 'contains': ['24192.g2', '24192.g4', '24192.g7', '24192.g6', '24192.g11', '24192.g14', '24192.g17', '24192.o4', '24192.o5', '24192.p11', '24192.p13', '24192.t3', '24192.t5', '24192.t6', '24192.br5', '24192.bu1', '24192.bu3', '24192.bu5', '24192.bu6', '24192.bv2', '24192.cr6', '24192.cr9', '24192.cx1', '24192.cx6', '24192.cx7', '24192.cx10', '24192.dk5', '24192.dn4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6640, -1, 8439, -1], 'generators': [357001369769646, 5160, 40284726, 356995142748840, 1307674368001], 'label': '387072.a.12096.cr9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.cr9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cr9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250212
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '864.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['288.a1', '432.a1', '432.d1', '432.e1'], 'contains': ['6048.eg1', '6912.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [3203, -1, 2637, -1], 'generators': [5635171390850518, 367920, 362881, 357001329484801, 356995102464000, 7, 1307674368001], 'label': '387072.a.864.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.a1', 'old_label': '864.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '864.a1', 'subgroup_fusion': None, 'weyl_group': '2688.cb'}
  • id: 66250213
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co2', '6048.co1', '6048.dk1'], 'contains': ['24192.bs1', '24192.bt1', '24192.bw2', '24192.cu1', '24192.cv1', '24192.dr1', '24192.ds1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2040, -1, 5086, -1], 'generators': [1307714647686, 754574702924137, 362886, 356995102464000, 357001369769641], 'label': '387072.a.12096.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '12096.cs1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cs1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250214
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ct2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co2', '6048.cp2', '6048.cs2', '6048.ct1', '6048.df1', '6048.dj2', '6048.dm1'], 'contains': ['24192.g9', '24192.g11', '24192.g17', '24192.p4', '24192.p5', '24192.q2', '24192.r7', '24192.bu2', '24192.bu5', '24192.bv1', '24192.bv3', '24192.bw2', '24192.cy2', '24192.cy3', '24192.dn2', '24192.dn14', '24192.dp6', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4112, -1, 7878, -1], 'generators': [5160, 40284726, 357001329484801, 356995102827007, 1307674368001], 'label': '387072.a.12096.ct2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ct1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ct2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250215
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co1', '6048.cp1', '6048.cs3', '6048.ct1', '6048.df2', '6048.dj2', '6048.dm1'], 'contains': ['24192.g8', '24192.g6', '24192.g15', '24192.p3', '24192.p7', '24192.p9', '24192.q4', '24192.r6', '24192.bu1', '24192.bu6', '24192.bv3', '24192.bv4', '24192.bw2', '24192.cy8', '24192.cy10', '24192.dn6', '24192.dn14', '24192.dp2', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4004, -1, 7832, -1], 'generators': [5160, 40284726, 356995142385847, 357001329847801, 1307674368001], 'label': '387072.a.12096.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ct2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ct1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250216
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ct3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs1', '6048.cs3', '6048.ct1', '6048.df1', '6048.df2', '6048.dj2', '6048.dm1'], 'contains': ['24192.g2', '24192.g3', '24192.g5', '24192.g6', '24192.g13', '24192.g14', '24192.p1', '24192.p2', '24192.p4', '24192.p5', '24192.p6', '24192.p7', '24192.q2', '24192.q4', '24192.r5', '24192.bu1', '24192.bu3', '24192.bu4', '24192.bv1', '24192.bv4', '24192.bw1', '24192.cy1', '24192.cy3', '24192.cy5', '24192.dn3', '24192.dn6', '24192.dn5', '24192.dp4', '24192.dt3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4544, -1, 7976, -1], 'generators': [5160, 40284726, 356995142385847, 357001329484801, 1307674368001], 'label': '387072.a.12096.ct3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ct3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ct3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250217
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ct4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs2', '6048.cs3', '6048.ct1', '6048.df1', '6048.df2', '6048.dj2', '6048.dm1'], 'contains': ['24192.g7', '24192.g8', '24192.g9', '24192.g12', '24192.g14', '24192.g16', '24192.p2', '24192.p4', '24192.p6', '24192.p8', '24192.p9', '24192.q2', '24192.q4', '24192.r6', '24192.r7', '24192.bu4', '24192.bu5', '24192.bu6', '24192.bv1', '24192.bv2', '24192.bv4', '24192.bw2', '24192.cy1', '24192.cy4', '24192.cy6', '24192.dn3', '24192.dn4', '24192.dn13', '24192.dp3', '24192.dt4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4131, -1, 8018, -1], 'generators': [5160, 40284726, 356995102464007, 357001329484801, 1307674368001], 'label': '387072.a.12096.ct4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ct4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ct4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250218
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ct5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs2', '6048.cs3', '6048.ct1', '6048.df2', '6048.dj1', '6048.dm1'], 'contains': ['24192.g7', '24192.g5', '24192.g10', '24192.g12', '24192.g15', '24192.g17', '24192.p3', '24192.p5', '24192.p7', '24192.p8', '24192.p9', '24192.q1', '24192.q3', '24192.r3', '24192.r5', '24192.bu2', '24192.bu3', '24192.bu4', '24192.bv2', '24192.bv3', '24192.bv4', '24192.bw2', '24192.cy5', '24192.cy7', '24192.cy9', '24192.dn1', '24192.dn7', '24192.dn5', '24192.dp5', '24192.dt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4330, -1, 7990, -1], 'generators': [5160, 126, 356995142748847, 357001329847801, 1307674368001], 'label': '387072.a.12096.ct5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ct5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ct5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250219
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ct6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cs3', '6048.ct1', '6048.df1', '6048.df2', '6048.dj1', '6048.dm1'], 'contains': ['24192.g1', '24192.g4', '24192.g10', '24192.g11', '24192.g13', '24192.g16', '24192.p1', '24192.p5', '24192.p6', '24192.p7', '24192.p9', '24192.q3', '24192.r6', '24192.r7', '24192.bu3', '24192.bu5', '24192.bu6', '24192.bv2', '24192.bv3', '24192.bv4', '24192.bw1', '24192.cy6', '24192.cy7', '24192.cy8', '24192.dn1', '24192.dn2', '24192.dn4', '24192.dp1', '24192.dt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4318, -1, 8004, -1], 'generators': [5160, 40284726, 356995142748847, 357001369769641, 1307674368001], 'label': '387072.a.12096.ct6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ct6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ct6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250220
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.o1', '6048.ct1', '6048.df2', '6048.dn1'], 'contains': ['24192.p10', '24192.p14', '24192.q1', '24192.q3', '24192.q4', '24192.s1', '24192.s2', '24192.bv4', '24192.bw1', '24192.bw2', '24192.do5', '24192.dq1', '24192.dq3', '24192.dy1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3330, -1, 7301, -1], 'generators': [5160, 121, 357001329484801, 356995142748847, 1307674368001], 'label': '387072.a.12096.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.cu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cu1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250221
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cq1', '6048.cr1', '6048.ct1', '6048.df1', '6048.df2', '6048.dn1'], 'contains': ['24192.p12', '24192.p11', '24192.p13', '24192.q2', '24192.q3', '24192.q4', '24192.s2', '24192.bv1', '24192.bv2', '24192.bv3', '24192.bw1', '24192.bw2', '24192.do1', '24192.do3', '24192.do5', '24192.dq2', '24192.dq4', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3621, -1, 7450, -1], 'generators': [5160, 121, 356995142748847, 357001369769641, 1307674368001], 'label': '387072.a.12096.cu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.cu2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cu2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250223
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.b1'], 'contains': ['2016.a1', '2016.l1', '2016.n1', '3024.a1', '4032.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2297, -1, 1849, -1], 'generators': [6028626958945505, 1864918132382023, 3768959336889894, 1864985503034449, 355687428096001, 355693695401647, 40284726, 367920], 'label': '387072.a.1008.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '1008.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.a1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66250224
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cu1', '6048.cu2'], 'contains': ['24192.a2', '24192.b2', '24192.d2', '24192.e2', '24192.bx1', '24192.by1', '24192.bz2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1546, -1, 4249, -1], 'generators': [1307674373166, 39921966, 1108948189714423, 357001369764481, 356995102464000], 'label': '387072.a.12096.cv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bq1', 'old_label': '12096.cv2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cv2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250225
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cu1', '6048.cu2', '6048.cv1', '6048.cy1', '6048.cy2', '6048.cz1', '6048.dk1'], 'contains': ['24192.c1', '24192.i1', '24192.l1', '24192.bp1', '24192.bs1', '24192.bx1', '24192.ca2', '24192.dl1', '24192.dr1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1659, -1, 4827, -1], 'generators': [1307714647686, 753260761976383, 362886, 356995102464000, 357001329489961], 'label': '387072.a.12096.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.cw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250226
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cu1', '6048.cu2', '6048.cw1', '6048.da1', '6048.da2', '6048.db1', '6048.dl1'], 'contains': ['24192.f1', '24192.k1', '24192.m1', '24192.by1', '24192.ca2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2171, -1, 5145, -1], 'generators': [1307714647686, 1110262131014983, 362886, 356995102464000, 357001329489961], 'label': '387072.a.12096.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.cx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cx1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250227
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cv1', '6048.cx1', '6048.cx2', '6048.da1', '6048.da2', '6048.dc1', '6048.dk1'], 'contains': ['24192.l1', '24192.n2', '24192.bt1', '24192.ca2', '24192.ds1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2015, -1, 5209, -1], 'generators': [1307714647686, 362886, 356995102464000, 1108948190072256, 357001329489961], 'label': '387072.a.12096.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.cy1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cy1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250228
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cw1', '6048.cx1', '6048.cx2', '6048.cy1', '6048.cy2', '6048.dd1', '6048.dl1'], 'contains': ['24192.m1', '24192.n1', '24192.bq1', '24192.ca2', '24192.dm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2463, -1, 6111, -1], 'generators': [1307714647686, 754574702919096, 362886, 356995102464000, 357001329489961], 'label': '387072.a.12096.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.s1', 'old_label': '12096.cz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.cz1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250229
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cu1', '6048.cx1', '6048.de1', '6048.de2', '6048.dj2', '6048.dm1'], 'contains': ['24192.g4', '24192.g3', '24192.g8', '24192.g9', '24192.o1', '24192.o5', '24192.p2', '24192.p4', '24192.br2', '24192.br3', '24192.br5', '24192.bu1', '24192.bu4', '24192.bu6', '24192.bz1', '24192.bz2', '24192.ca2', '24192.dn12', '24192.dp5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4474, -1, 7618, -1], 'generators': [357001369769646, 5160, 40284721, 356995102464000, 1307674368001], 'label': '387072.a.12096.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.da1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.da1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250230
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.da2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cu2', '6048.cx2', '6048.de1', '6048.de3', '6048.dj1', '6048.dj2', '6048.dm1'], 'contains': ['24192.g2', '24192.g1', '24192.g15', '24192.g17', '24192.o2', '24192.o6', '24192.p3', '24192.p6', '24192.br2', '24192.br4', '24192.br5', '24192.bu3', '24192.bu4', '24192.bu5', '24192.bz2', '24192.ca2', '24192.dn8', '24192.dp3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5113, -1, 7753, -1], 'generators': [5160, 40284721, 356995142748847, 1307674368001, 357001329484806], 'label': '387072.a.12096.da2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.da2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.da2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250231
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.da3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cv1', '6048.cw1', '6048.de2', '6048.de3', '6048.dj1', '6048.dj2', '6048.dm1'], 'contains': ['24192.g7', '24192.g12', '24192.g13', '24192.o3', '24192.o4', '24192.p1', '24192.p9', '24192.br3', '24192.br5', '24192.bu2', '24192.bu1', '24192.bu3', '24192.bu5', '24192.bz2', '24192.ca2', '24192.dn9', '24192.dp2', '24192.dp6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3678, -1, 7632, -1], 'generators': [357001369769646, 5160, 121, 1307714652846, 356995102827000], 'label': '387072.a.12096.da3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.da3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.da3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250232
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.da4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.de3', '6048.dj1', '6048.dj2', '6048.dm1'], 'contains': ['24192.g5', '24192.g6', '24192.g10', '24192.g11', '24192.g14', '24192.g16', '24192.o4', '24192.o5', '24192.o6', '24192.p5', '24192.p7', '24192.p8', '24192.br1', '24192.br3', '24192.br4', '24192.br5', '24192.bu2', '24192.bu3', '24192.bu4', '24192.bu5', '24192.bu6', '24192.bz2', '24192.ca1', '24192.dn10', '24192.dn11', '24192.dp1', '24192.dp4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5234, -1, 7892, -1], 'generators': [5160, 126, 357001369769641, 356995102827000, 1307674368001], 'label': '387072.a.12096.da4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.da4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.da4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250233
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.r1', '4032.s1', '4032.t1', '4032.u1', '6048.df1', '6048.dj1', '6048.dn1'], 'contains': ['24192.p11', '24192.r3', '24192.bu5', '24192.bw1', '24192.ca1', '24192.dq1', '24192.dx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 168, 'diagramx': [2897, -1, 6467, -1], 'generators': [357001329847806, 5160, 39921961, 1307714652846, 356995142748847], 'label': '387072.a.12096.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '168.c1', 'old_label': '12096.db1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.db1', 'subgroup_fusion': None, 'weyl_group': '9.2'}
  • id: 66250234
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.b1'], 'contains': ['2016.a1', '2016.m1', '2016.o1', '3024.b1', '4032.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3105, -1, 1912, -1], 'generators': [367920, 6384308120098865, 355687428096001, 1864985503034449, 3768959336889894, 40284726, 355693695401647, 1864918132382023], 'label': '387072.a.1008.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '1008.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.b1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66250235
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.db2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.r2', '6048.cz1', '6048.db1', '6048.dc1', '6048.dd1', '6048.de1', '6048.df2', '6048.dm1'], 'contains': ['24192.p1', '24192.p8', '24192.r1', '24192.r2', '24192.br1', '24192.br2', '24192.bv3', '24192.bv4', '24192.ca2', '24192.do2', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3821, -1, 6991, -1], 'generators': [5160, 39921966, 356995142748847, 357001329847801, 1307674368001], 'label': '387072.a.12096.db2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '12096.db2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.db2', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66250236
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.db3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.u2', '6048.cy1', '6048.da1', '6048.de2', '6048.df2', '6048.dm1'], 'contains': ['24192.p3', '24192.p5', '24192.r4', '24192.br3', '24192.bv2', '24192.bv4', '24192.ca2', '24192.do4', '24192.dt4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3505, -1, 7436, -1], 'generators': [357001369769646, 5160, 362881, 356995142748840, 1307674368001], 'label': '387072.a.12096.db3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '12096.db3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.db3', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66250237
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.db4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cy2', '6048.da2', '6048.de3', '6048.df1', '6048.df2', '6048.dm1'], 'contains': ['24192.p2', '24192.p4', '24192.p6', '24192.p7', '24192.p9', '24192.r2', '24192.r4', '24192.br4', '24192.br5', '24192.bv1', '24192.bv2', '24192.bv3', '24192.bv4', '24192.ca1', '24192.ca2', '24192.do6', '24192.dt1', '24192.dt3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3850, -1, 7408, -1], 'generators': [5160, 126, 356995142385847, 357001369769641, 1307674368001], 'label': '387072.a.12096.db4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.db4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.db4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250238
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.db5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.df1', '6048.df2', '6048.dj1', '6048.dj2', '6048.dn1'], 'contains': ['24192.p10', '24192.p12', '24192.p11', '24192.p14', '24192.p13', '24192.r5', '24192.r6', '24192.r7', '24192.bu2', '24192.bu1', '24192.bu3', '24192.bu4', '24192.bu5', '24192.bu6', '24192.bw1', '24192.bw2', '24192.ca1', '24192.ca2', '24192.dq2', '24192.dq3', '24192.dq4', '24192.dx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3097, -1, 7422, -1], 'generators': [357001369769646, 5160, 40284726, 356995142748847, 1307674368001], 'label': '387072.a.12096.db5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.db5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.db5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250239
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.dg1', '6048.dh1', '6048.dk1'], 'contains': ['24192.bs1', '24192.bt1', '24192.cb1', '24192.dv1', '24192.dw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1671, -1, 4341, -1], 'generators': [357001369769646, 121, 754568436344263, 356995102464000, 1307674368001], 'label': '387072.a.12096.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '12096.dc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dc1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250240
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.v1', '6048.dj2', '6048.dm1', '6048.dn1'], 'contains': ['24192.q1', '24192.q2', '24192.r3', '24192.r6', '24192.bu3', '24192.bu6', '24192.bv1', '24192.bv4', '24192.bz1', '24192.bz2', '24192.ca1', '24192.ca2', '24192.cb1', '24192.du1', '24192.dy1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2495, -1, 6453, -1], 'generators': [357001369769646, 5160, 121, 356995102464007, 1307674368001], 'label': '387072.a.12096.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.dd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dd1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250241
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.dh1', '6048.di1', '6048.dj1', '6048.dj2', '6048.dm1', '6048.dn1'], 'contains': ['24192.q3', '24192.q4', '24192.r5', '24192.r7', '24192.bu2', '24192.bu1', '24192.bu4', '24192.bu5', '24192.bv2', '24192.bv3', '24192.bv4', '24192.bz2', '24192.ca1', '24192.ca2', '24192.cb1', '24192.du2', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [2938, -1, 6947, -1], 'generators': [357001369769646, 5160, 121, 356995142748840, 1307674368001], 'label': '387072.a.12096.dd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.dd2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dd2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250242
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.w1', '6048.dk1', '6048.dl1', '6048.dm1', '6048.dn1'], 'contains': ['24192.s1', '24192.s2', '24192.bw1', '24192.bw2', '24192.ca1', '24192.ca2', '24192.cb1', '24192.dz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [2275, -1, 5467, -1], 'generators': [357001369769646, 5160, 121, 356995142748847, 1307674368001], 'label': '387072.a.12096.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '126.c1', 'old_label': '12096.de1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.de1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250243
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.df3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u2', '6048.cl2', '6048.dr1'], 'contains': ['24192.cc1', '24192.cf1', '24192.cg1', '24192.ci2', '24192.co2', '24192.cp2', '24192.cr15'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3812, -1, 7207, -1], 'generators': [1307674373161, 753260761976262, 357001329852726, 362886, 356995142743680], 'label': '387072.a.12096.df3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.df1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.df3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250244
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.df4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u2', '6048.cl3', '6048.dr3'], 'contains': ['24192.cd2', '24192.ce2', '24192.cg1', '24192.ci2', '24192.cn1', '24192.cq1', '24192.cr21'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3799, -1, 8163, -1], 'generators': [1307674373161, 357001329852726, 753260761976383, 356995142380927, 362886], 'label': '387072.a.12096.df4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.df2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.df4', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250245
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.b1', '504.b1'], 'contains': ['2016.a1', '2016.p2', '2016.q1', '3024.e1', '4032.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3131, -1, 1747, -1], 'generators': [367920, 1864918092470382, 355687428096001, 1864985502671568, 40284726, 355693695401647, 363007, 4124652992374735], 'label': '387072.a.1008.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '1008.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.c1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66250246
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u1', '6048.cl1', '6048.dr1'], 'contains': ['24192.cc1', '24192.cf1', '24192.cg2', '24192.ci1', '24192.co1', '24192.cp1', '24192.cr12'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3912, -1, 7237, -1], 'generators': [121, 1307714652846, 754574702919096, 356995142380920, 357001329489961], 'label': '387072.a.12096.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.df3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.df1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250247
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.df2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u1', '6048.cl3', '6048.dr2'], 'contains': ['24192.cd1', '24192.ce1', '24192.cg2', '24192.ci1', '24192.cn1', '24192.cq1', '24192.cr20'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3887, -1, 8133, -1], 'generators': [121, 754574702924023, 357001369406641, 356995102827007, 1307714647681], 'label': '387072.a.12096.df2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.df4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.df2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250248
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.v1', '6048.cl1', '6048.dp1', '6048.dp2', '6048.dp4', '6048.dr3'], 'contains': ['24192.cd2', '24192.ch1', '24192.ck1', '24192.co1', '24192.cr19', '24192.ef1', '24192.ef4', '24192.ef2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9418, -1, 9206, -1], 'generators': [121, 1307714652846, 754574702919096, 356995102827007, 357001329489961], 'label': '387072.a.12096.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dg1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250249
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.v1', '6048.cl2', '6048.dp1', '6048.dp3', '6048.dp4', '6048.dr2'], 'contains': ['24192.cd1', '24192.ch1', '24192.ck1', '24192.co2', '24192.cr17', '24192.ef1', '24192.ef4', '24192.ef3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9430, -1, 9233, -1], 'generators': [121, 753260761976383, 356995102827007, 1307714647681, 357001329489961], 'label': '387072.a.12096.dg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dg2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250250
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.y1', '6048.cl1', '6048.dq1', '6048.dq2', '6048.dq4', '6048.dr3'], 'contains': ['24192.ce2', '24192.cj1', '24192.cl1', '24192.cp1', '24192.cr19'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3981, -1, 7357, -1], 'generators': [121, 1307714652846, 356995102827007, 1108948190077423, 357001329489961], 'label': '387072.a.12096.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dh1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250251
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.y1', '6048.cl2', '6048.dq1', '6048.dq3', '6048.dq4', '6048.dr2'], 'contains': ['24192.ce1', '24192.cj1', '24192.cl1', '24192.cp2', '24192.cr17'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3967, -1, 7324, -1], 'generators': [121, 1110262131020136, 356995102827007, 1307714647681, 357001329489961], 'label': '387072.a.12096.dh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dh2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dh2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250252
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.z1', '6048.cn1', '6048.dp1', '6048.dp2', '6048.dq2', '6048.dq4', '6048.dt2'], 'contains': ['24192.ck1', '24192.cl1', '24192.cr19', '24192.eg4', '24192.eg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9464, -1, 9325, -1], 'generators': [121, 1307714652846, 356995102827007, 753260761981296, 357001329489961], 'label': '387072.a.12096.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.di1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.di1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250253
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.di2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.z1', '6048.cn1', '6048.dp2', '6048.dp4', '6048.dq1', '6048.dq2', '6048.dt2'], 'contains': ['24192.ck1', '24192.cl1', '24192.cr19', '24192.eg1', '24192.eg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9450, -1, 9357, -1], 'generators': [121, 1307714652846, 1110262131014983, 356995102827007, 357001329489961], 'label': '387072.a.12096.di2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.di2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.di2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250254
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.di3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.z1', '6048.cn2', '6048.dp1', '6048.dp3', '6048.dq3', '6048.dq4', '6048.dt1'], 'contains': ['24192.ck1', '24192.cl1', '24192.cr17', '24192.eg4', '24192.eg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9491, -1, 9390, -1], 'generators': [121, 754574702919096, 356995102827007, 1307714647681, 357001329489961], 'label': '387072.a.12096.di3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.di3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.di3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250255
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.di4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.z1', '6048.cn2', '6048.dp3', '6048.dp4', '6048.dq1', '6048.dq3', '6048.dt1'], 'contains': ['24192.ck1', '24192.cl1', '24192.cr17', '24192.eg1', '24192.eg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9477, -1, 9454, -1], 'generators': [121, 356995102827007, 1307714647681, 1108948190077423, 357001329489961], 'label': '387072.a.12096.di4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.di4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.di4', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250256
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.b1', '504.a1'], 'contains': ['2016.r1', '3024.h1', '4032.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3276, -1, 2454, -1], 'generators': [367920, 355687428096001, 1864985502671568, 40284726, 355693695401647, 1864918132387183, 4124652952095055, 363007], 'label': '387072.a.1008.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.a1', 'old_label': '1008.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.d1', 'subgroup_fusion': None, 'weyl_group': '192.1009'}
  • id: 66250257
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bb2', '6048.do1', '6048.do2'], 'contains': ['24192.cu3', '24192.cv1', '24192.cw2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2789, -1, 6065, -1], 'generators': [121, 4538931290207296, 754568475898297, 356995102464000, 355693655484727], 'label': '387072.a.12096.dj2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.m1', 'old_label': '12096.dj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dj2', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250258
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bb1', '6048.do1', '6048.do2'], 'contains': ['24192.cu2', '24192.cv1', '24192.cw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2781, -1, 6085, -1], 'generators': [121, 754568475898297, 4538931329761342, 356995102464000, 355693655484727], 'label': '387072.a.12096.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.m1', 'old_label': '12096.dj2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dj1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250259
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bd1', '6048.do1', '6048.do2'], 'contains': ['24192.cu1', '24192.cw2', '24192.cw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [7512, -1, 8967, -1], 'generators': [121, 4538931329761342, 753266988639337, 356995102464000, 355693655484727], 'label': '387072.a.12096.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.m1', 'old_label': '12096.dk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dk1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250260
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bf1', '6048.do1', '6048.do2'], 'contains': ['24192.cu1', '24192.cu3', '24192.cu2', '24192.cz1', '24192.da1', '24192.ea1', '24192.eb1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2268, -1, 5332, -1], 'generators': [121, 4538931290207296, 753266988639337, 356995102464000, 355693655484727], 'label': '387072.a.12096.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.m1', 'old_label': '12096.dl1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dl1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250261
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bk1', '6048.du2', '6048.du3'], 'contains': ['24192.cx9', '24192.db2', '24192.dd2', '24192.ec2', '24192.ee2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3404, -1, 6213, -1], 'generators': [356995102831927, 357001329847806, 1108948189714416, 368046, 1307674368001], 'label': '387072.a.12096.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '12096.dm1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dm1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250262
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bk2', '6048.du1', '6048.du3'], 'contains': ['24192.cx12', '24192.db2', '24192.dd2', '24192.ec1', '24192.ee1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3416, -1, 6302, -1], 'generators': [1307674373161, 368041, 357001329847801, 1108948190077423, 356995102469167], 'label': '387072.a.12096.dm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '12096.dm2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dm2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250263
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dm4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bk2', '6048.du2', '6048.du3'], 'contains': ['24192.cx16', '24192.db1', '24192.dd1', '24192.ec2', '24192.ec1', '24192.ee2', '24192.ee1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3006, -1, 6272, -1], 'generators': [356995102831927, 357001329847806, 1307674373161, 1108948189714416, 368046], 'label': '387072.a.12096.dm4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '12096.dm3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dm4', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250264
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dm3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bk2', '6048.du2', '6048.du3'], 'contains': ['24192.cx17', '24192.db1', '24192.dd1', '24192.ec2', '24192.ec1', '24192.ee2', '24192.ee1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2980, -1, 6242, -1], 'generators': [1307674373161, 356995102831920, 753260761976383, 5046, 357001329484806], 'label': '387072.a.12096.dm3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '12096.dm4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dm3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250265
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bm1', '6048.co2', '6048.do2'], 'contains': ['24192.cs2', '24192.ct2', '24192.cu1', '24192.cv1', '24192.cy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2221, -1, 5712, -1], 'generators': [1307714647686, 39921961, 753260761976383, 357001369401721, 356995102464000], 'label': '387072.a.12096.dn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '12096.dn1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dn2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250266
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bm1', '6048.co1', '6048.do1'], 'contains': ['24192.cs1', '24192.ct1', '24192.cu1', '24192.cv1', '24192.cy10'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2184, -1, 5683, -1], 'generators': [1307714647686, 121, 1108948190072263, 357001369406641, 356995102464000], 'label': '387072.a.12096.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '12096.dn2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dn1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250267
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1', '504.d1'], 'contains': ['2016.h1', '2016.i1', '2016.j1', '3024.y1', '4032.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3200, -1, 2163, -1], 'generators': [121, 1864985502671568, 355687468380841, 355693695401647, 6384314347487710, 40284847, 5167, 363000], 'label': '387072.a.1008.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.d1', 'old_label': '1008.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.e1', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66250268
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.do4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bn2', '6048.do1', '6048.dp3'], 'contains': ['24192.cu2', '24192.cw2', '24192.cy10', '24192.ef3', '24192.eg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9218, -1, 9178, -1], 'generators': [357001329852726, 40284721, 754574702919103, 356995142748840, 1307674368001], 'label': '387072.a.12096.do4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '12096.do1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.do4', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250269
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.do5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bn2', '6048.do2', '6048.dp2'], 'contains': ['24192.cu2', '24192.cw2', '24192.cy2', '24192.ef2', '24192.eg2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8683, -1, 9104, -1], 'generators': [357001329852726, 753260761976383, 5041, 356995102827007, 1307714652841], 'label': '387072.a.12096.do5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '12096.do2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.do5', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250270
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.do6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bn2', '6048.dp1', '6048.dp4'], 'contains': ['24192.cu3', '24192.cw1', '24192.cy4', '24192.ef2', '24192.ef3', '24192.eg2', '24192.eg3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9594, -1, 9485, -1], 'generators': [1307674368006, 754574702919096, 40284721, 356995142385847, 357001329489961], 'label': '387072.a.12096.do6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '12096.do3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.do6', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250271
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bn1', '6048.do1', '6048.dp4'], 'contains': ['24192.cu3', '24192.cw1', '24192.cy10', '24192.ef1', '24192.eg1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9231, -1, 9262, -1], 'generators': [1307714289846, 357001329852726, 39921966, 754574702919103, 356995142385847], 'label': '387072.a.12096.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '12096.do4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.do1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250272
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.do2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bn1', '6048.do2', '6048.dp1'], 'contains': ['24192.cu3', '24192.cw1', '24192.cy2', '24192.ef4', '24192.eg4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8770, -1, 9134, -1], 'generators': [1307714652846, 754574702919096, 5046, 356995102827007, 357001329489961], 'label': '387072.a.12096.do2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.g1', 'old_label': '12096.do5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.do2', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250273
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.do3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bn1', '6048.dp2', '6048.dp3'], 'contains': ['24192.cu2', '24192.cw2', '24192.cy9', '24192.ef1', '24192.ef4', '24192.eg1', '24192.eg4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9758, -1, 9545, -1], 'generators': [357001329852726, 39921966, 754574702919103, 356995142385847, 1307674368001], 'label': '387072.a.12096.do3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '12096.do6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.do3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250274
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u2', '6048.cl1', '6048.dx1'], 'contains': ['24192.cc1', '24192.cd2', '24192.ce2', '24192.cf1', '24192.de2', '24192.dg2', '24192.dk4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3445, -1, 6840, -1], 'generators': [39921961, 754574702919096, 356995142385840, 357001329489961, 1307674368001], 'label': '387072.a.12096.dp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.dp1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dp2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250275
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u1', '6048.cl2', '6048.dx1'], 'contains': ['24192.cc1', '24192.cd1', '24192.ce1', '24192.cf1', '24192.de1', '24192.dg1', '24192.dk5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3064, -1, 6870, -1], 'generators': [1307714647686, 754574702924137, 357001329852726, 5046, 356995102464000], 'label': '387072.a.12096.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.dp2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dp1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250276
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.x1', '6048.v1', '6048.cl3', '6048.dx1'], 'contains': ['24192.cd2', '24192.cd1', '24192.df1', '24192.di1', '24192.dk2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5028, -1, 6927, -1], 'generators': [1307714289846, 357001329852726, 753260761976383, 362886, 356995102464000], 'label': '387072.a.12096.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '12096.dq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dq1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66250277
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.y1', '6048.cl3', '6048.cm1', '6048.dx1', '6048.dy1'], 'contains': ['24192.ce2', '24192.ce1', '24192.dh1', '24192.dj1', '24192.dk2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2477, -1, 6143, -1], 'generators': [1307714289846, 754574702924137, 357001329852726, 362886, 356995102464000], 'label': '387072.a.12096.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.dr1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dr1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250278
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.e2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.d1'], 'contains': ['2016.h1', '2016.i1', '2016.j2', '3024.y2', '4032.l2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3160, -1, 2129, -1], 'generators': [5160, 121, 1509298114492368, 355687468017846, 355693695401647, 6384314347487710, 40284847, 363007], 'label': '387072.a.1008.e2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.d1', 'old_label': '1008.e2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.e2', 'subgroup_fusion': None, 'weyl_group': '192.1000'}
  • id: 66250279
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.br1', '6048.cl1', '6048.dp2', '6048.dp3', '6048.dr2', '6048.du1', '6048.du2'], 'contains': ['24192.cg2', '24192.ch1', '24192.cl1', '24192.cu2', '24192.db2', '24192.de2', '24192.dn13', '24192.ec1', '24192.ec3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2924, -1, 6582, -1], 'generators': [357001329852726, 1108948189709496, 362886, 356995102827007, 1307674368001], 'label': '387072.a.12096.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.ds1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ds1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250280
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ds2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.br1', '6048.cl2', '6048.dp1', '6048.dp4', '6048.dr3', '6048.du2'], 'contains': ['24192.cg1', '24192.ch1', '24192.cl1', '24192.cu3', '24192.db1', '24192.de1', '24192.dn7', '24192.ec2', '24192.ec3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2909, -1, 6502, -1], 'generators': [1307674373161, 357001329852726, 362886, 753260761613376, 356995102827007], 'label': '387072.a.12096.ds2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.ds2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ds2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250281
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ds3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.br1', '6048.cl3', '6048.co2', '6048.co1', '6048.dr1', '6048.du3'], 'contains': ['24192.cg1', '24192.cg2', '24192.cu1', '24192.db3', '24192.df1', '24192.dj1', '24192.dn14', '24192.ec2', '24192.ec1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2448, -1, 5895, -1], 'generators': [1307674373161, 357001329852726, 362886, 1108948190077302, 356995102464000], 'label': '387072.a.12096.ds3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.ds3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ds3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250282
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bt3', '6048.cl1', '6048.dq2', '6048.dq3', '6048.dr2', '6048.dv1', '6048.dv2'], 'contains': ['24192.ci1', '24192.cj1', '24192.ck1', '24192.dg2', '24192.dn13'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7536, -1, 7808, -1], 'generators': [357001329852726, 754574702924023, 362886, 356995102827007, 1307674368001], 'label': '387072.a.12096.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dt1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dt1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250283
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dt2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bt3', '6048.cl2', '6048.dq1', '6048.dq4', '6048.dr3', '6048.dv2'], 'contains': ['24192.ci2', '24192.cj1', '24192.ck1', '24192.dg1', '24192.dn7'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5931, -1, 7776, -1], 'generators': [1307674373161, 357001329852726, 362886, 754574702919103, 356995102827007], 'label': '387072.a.12096.dt2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dt2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dt2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250284
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dt3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bt3', '6048.cl3', '6048.cp2', '6048.cp1', '6048.dr1', '6048.dw1'], 'contains': ['24192.ci1', '24192.ci2', '24192.dh1', '24192.di1', '24192.dn14'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4890, -1, 7072, -1], 'generators': [1307674373161, 357001329852726, 362886, 754574702919103, 356995102464000], 'label': '387072.a.12096.dt3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.dt3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dt3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250285
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bu1', '6048.cm1', '6048.co2', '6048.co1', '6048.ds1', '6048.dw1'], 'contains': ['24192.cv1', '24192.dc1', '24192.dh1', '24192.dn14'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2351, -1, 5517, -1], 'generators': [1307674373161, 1110262131014976, 357001329852726, 362886, 356995102464000], 'label': '387072.a.12096.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.du1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.du1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250286
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bv1', '6048.cn1', '6048.dp2', '6048.dp3', '6048.dt1', '6048.dv1', '6048.dv2'], 'contains': ['24192.ck1', '24192.cw2', '24192.dn13', '24192.ed1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8809, -1, 9293, -1], 'generators': [357001329852726, 362886, 754574702919103, 356995102827007, 1307674368001], 'label': '387072.a.12096.dv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dv1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dv1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250287
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bv1', '6048.cn2', '6048.dp1', '6048.dp4', '6048.dt2', '6048.dv2'], 'contains': ['24192.ck1', '24192.cw1', '24192.dn7', '24192.ed1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8822, -1, 9422, -1], 'generators': [1307674373161, 357001329852726, 1110262131014983, 362886, 356995102827007], 'label': '387072.a.12096.dv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dv2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dv2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250288
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bw1', '6048.cm1', '6048.cp2', '6048.cp1', '6048.ds1', '6048.du3'], 'contains': ['24192.dj1', '24192.dn14', '24192.ee2', '24192.ee1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4876, -1, 6398, -1], 'generators': [1307674373161, 357001329852726, 362886, 356995102464000, 753260761981417], 'label': '387072.a.12096.dw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.dw1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dw1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250289
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.d1', '504.f1', '504.j1'], 'contains': ['2016.h1', '2016.k1', '2016.bh1', '2016.bo1', '3024.bc1', '4032.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4725, -1, 2298, -1], 'generators': [121, 367920, 1864985503034449, 355693695401647, 6384314347487710, 355687468380846, 7, 40284847], 'label': '387072.a.1008.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1008.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.f1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250290
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bw1', '6048.cn1', '6048.dq2', '6048.dq3', '6048.dt1', '6048.du1', '6048.du2'], 'contains': ['24192.cl1', '24192.dd2', '24192.dn13', '24192.ee1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4846, -1, 7683, -1], 'generators': [1108948189714416, 357001329852726, 362886, 356995102827007, 1307674368001], 'label': '387072.a.12096.dw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dw2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dw2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250291
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dw3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bw1', '6048.cn2', '6048.dq1', '6048.dq4', '6048.dt2', '6048.du2'], 'contains': ['24192.cl1', '24192.dd1', '24192.dn7', '24192.ee2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5164, -1, 7581, -1], 'generators': [1307674373161, 357001329852726, 1108948189709496, 362886, 356995102827007], 'label': '387072.a.12096.dw3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.dw3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dw3', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250292
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.ba1', '6048.u1', '6048.cq1', '6048.dr3'], 'contains': ['24192.cn1', '24192.co1', '24192.cp1', '24192.cq1', '24192.de1', '24192.dg1', '24192.do3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3120, -1, 7147, -1], 'generators': [121, 1307714652846, 754574702919096, 356995142743687, 357001329489961], 'label': '387072.a.12096.dx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.dx1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dx1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250293
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bb1', '6048.cy1', '6048.dr1', '6048.dr2'], 'contains': ['24192.cg2', '24192.ci1', '24192.co2', '24192.cp2', '24192.dl1', '24192.dm1', '24192.do4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3496, -1, 7103, -1], 'generators': [1307714652846, 754574702919096, 356995102464000, 368046, 357001329489961], 'label': '387072.a.12096.dx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.dx2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dx2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250294
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dx3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.u2', '6048.cq1', '6048.dr2'], 'contains': ['24192.cn1', '24192.co2', '24192.cp2', '24192.cq1', '24192.de2', '24192.dg2', '24192.do5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3471, -1, 7041, -1], 'generators': [754574703287016, 362886, 356995102827007, 1307674368001, 357001369406646], 'label': '387072.a.12096.dx3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.dx3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dx3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250295
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dx4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cy2', '6048.dr1', '6048.dr3'], 'contains': ['24192.cg1', '24192.ci2', '24192.co1', '24192.cp1', '24192.dl1', '24192.dm1', '24192.do6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3484, -1, 7177, -1], 'generators': [357001329852726, 368041, 754574702919103, 356995102464000, 1307714652841], 'label': '387072.a.12096.dx4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.dx4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dx4', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250296
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.y1', '6048.cz1', '6048.dr2', '6048.dr3'], 'contains': ['24192.ch1', '24192.cj1', '24192.cn1', '24192.dl1', '24192.do2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [2834, -1, 5741, -1], 'generators': [753260761976262, 362886, 356995102827007, 40279680, 357001369406646], 'label': '387072.a.12096.dy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.f1', 'old_label': '12096.dy1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dy1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66250297
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.dz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.z1', '6048.v1', '6048.cq1', '6048.dr1'], 'contains': ['24192.co2', '24192.co1', '24192.df1', '24192.di1', '24192.do1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [5061, -1, 8191, -1], 'generators': [121, 1307714652846, 754574702919096, 356995102464000, 357001329489961], 'label': '387072.a.12096.dz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.j1', 'old_label': '12096.dz1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.dz1', 'subgroup_fusion': None, 'weyl_group': '48.49'}
  • id: 66250298
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ea1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.y1', '6048.cq1', '6048.cr1', '6048.dr1', '6048.ds1'], 'contains': ['24192.cp2', '24192.cp1', '24192.dh1', '24192.dj1', '24192.do1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2723, -1, 6366, -1], 'generators': [754574702924016, 121, 1307714652846, 356995102464000, 357001329489961], 'label': '387072.a.12096.ea1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.ea1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ea1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250299
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.eb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.dd1', '6048.dr2', '6048.dr3', '6048.dt1', '6048.dt2'], 'contains': ['24192.ck1', '24192.cl1', '24192.cq1', '24192.dm1', '24192.do2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4354, -1, 7855, -1], 'generators': [362886, 356995102827007, 40279680, 1108948190077423, 357001369406646], 'label': '387072.a.12096.eb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.o1', 'old_label': '12096.eb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.eb1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250300
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '56.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '387072.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.a1'], 'contains': ['168.c1', '168.d1', '168.e1', '224.a1', '3584.a1'], 'core': '1512.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [9708, -1, 9914, -1], 'generators': [8375691352321, 6036942337539703, 5643567240227136, 357001369769646, 1307674368001, 356995142748847, 121, 5160, 40284847, 7, 363000], 'label': '387072.a.56.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.a1', 'old_label': '56.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.a1', 'subgroup_fusion': None, 'weyl_group': '13824.s'}
  • id: 66250301
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.d1', '504.h1', '504.k1'], 'contains': ['2016.i1', '2016.k1', '3024.bd1', '4032.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [3082, -1, 2057, -1], 'generators': [121, 367920, 6384308120461870, 1864985503034449, 355693695401647, 355687468380846, 7, 40284847], 'label': '387072.a.1008.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1008.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.g1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250314
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ed2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co2', '6048.cv1', '6048.eb1'], 'contains': ['24192.cs2', '24192.ct2', '24192.db3', '24192.dc1', '24192.dp6', '24192.dr1', '24192.ds1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2077, -1, 5056, -1], 'generators': [1307674373161, 1110262131014976, 39921961, 357001369401721, 356995102464000], 'label': '387072.a.12096.ed2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '12096.ed1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ed2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250302
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bc1', '6048.bx2', '6048.de1'], 'contains': ['24192.cm1', '24192.cm2', '24192.cm3', '24192.cr1', '24192.cr2', '24192.cr3', '24192.cr7', '24192.cr5', '24192.cr10', '24192.cr13', '24192.cr16', '24192.cr18', '24192.dn8', '24192.dn12', '24192.do2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8449, -1, 8823, -1], 'generators': [5160, 121, 1307714652846, 356995102464007, 357001329847801], 'label': '387072.a.12096.ec1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.ec1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250303
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bd1', '6048.bx2', '6048.de2'], 'contains': ['24192.cm7', '24192.cr3', '24192.cr6', '24192.cr9', '24192.cr10', '24192.cr11', '24192.cr14', '24192.cr18', '24192.dn9', '24192.dn12', '24192.do4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [8901, -1, 8950, -1], 'generators': [5160, 121, 1307714652846, 356995102464007, 357001369406641], 'label': '387072.a.12096.ec2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.m1', 'old_label': '12096.ec2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec2', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250304
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bd2', '6048.bx1', '6048.cs2', '6048.dp1', '6048.dq1', '6048.dz2'], 'contains': ['24192.cr8', '24192.cr17', '24192.cr19', '24192.cx4', '24192.cy2', '24192.cy4', '24192.dn7', '24192.eh2', '24192.eh3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [9206, -1, 9156, -1], 'generators': [5160, 40284721, 356995142385847, 357001369406641, 1307674368001], 'label': '387072.a.12096.ec3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.e1', 'old_label': '12096.ec3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec3', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66250305
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bd3', '6048.bx2', '6048.cs3', '6048.dz2'], 'contains': ['24192.cr6', '24192.cr5', '24192.cr14', '24192.cr16', '24192.cx8', '24192.cx14', '24192.cy5', '24192.cy8', '24192.dn4', '24192.eh2', '24192.eh6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [9055, -1, 9068, -1], 'generators': [357001329847806, 5160, 40284726, 356995102827000, 1307674368001], 'label': '387072.a.12096.ec4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.m1', 'old_label': '12096.ec4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec4', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250306
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.cs1', '6048.cs2', '6048.dp2', '6048.dq2', '6048.dz2'], 'contains': ['24192.cr4', '24192.cr5', '24192.cr11', '24192.cr12', '24192.cr18', '24192.cr19', '24192.cx2', '24192.cx5', '24192.cx13', '24192.cy1', '24192.cy2', '24192.cy3', '24192.cy9', '24192.dn5', '24192.dn13', '24192.eh1', '24192.eh6', '24192.eh3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [9157, -1, 9026, -1], 'generators': [5160, 40284726, 356995102464007, 1307674368001, 357001369406646], 'label': '387072.a.12096.ec5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ec5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec5', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250307
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.cs2', '6048.cs3', '6048.dp3', '6048.dq3', '6048.dz1'], 'contains': ['24192.cr11', '24192.cr13', '24192.cr17', '24192.cr20', '24192.cx1', '24192.cx12', '24192.cy5', '24192.cy6', '24192.cy9', '24192.cy10', '24192.dn2', '24192.dn13', '24192.eh2', '24192.eh5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [9072, -1, 9054, -1], 'generators': [5160, 40284726, 356995102827007, 1307674368001, 357001329484806], 'label': '387072.a.12096.ec6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ec6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec6', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250308
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.cs2', '6048.cs3', '6048.dp4', '6048.dq4', '6048.dz2'], 'contains': ['24192.cr7', '24192.cr4', '24192.cr9', '24192.cr14', '24192.cr16', '24192.cr17', '24192.cr19', '24192.cx3', '24192.cx11', '24192.cx15', '24192.cy3', '24192.cy4', '24192.cy7', '24192.cy10', '24192.dn4', '24192.dn7', '24192.eh1', '24192.eh5', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [9114, -1, 9082, -1], 'generators': [5160, 40284726, 356995142385840, 1307674368001, 357001369406646], 'label': '387072.a.12096.ec7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ec7', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec7', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250309
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec8', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.cs2', '6048.cs3', '6048.dz2'], 'contains': ['24192.cr6', '24192.cr7', '24192.cr4', '24192.cr8', '24192.cr11', '24192.cr14', '24192.cr15', '24192.cr16', '24192.cr18', '24192.cr21', '24192.cx5', '24192.cx6', '24192.cx7', '24192.cx10', '24192.cx14', '24192.cx15', '24192.cy1', '24192.cy3', '24192.cy4', '24192.cy6', '24192.cy8', '24192.cy9', '24192.dn1', '24192.dn14', '24192.eh5', '24192.eh6', '24192.eh3', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8621, -1, 9040, -1], 'generators': [5160, 40284726, 356995102827000, 1307674368001, 357001329484806], 'label': '387072.a.12096.ec8', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ec8', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec8', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250310
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec9', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.de3'], 'contains': ['24192.cm5', '24192.cm6', '24192.cm4', '24192.cr2', '24192.cr3', '24192.cr6', '24192.cr7', '24192.cr4', '24192.cr5', '24192.cr8', '24192.cr9', '24192.cr11', '24192.cr12', '24192.cr13', '24192.cr14', '24192.cr15', '24192.cr16', '24192.cr17', '24192.cr19', '24192.cr20', '24192.cr21', '24192.dn8', '24192.dn9', '24192.dn10', '24192.dn11', '24192.do6'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [9006, -1, 9012, -1], 'generators': [5160, 121, 1307714652846, 356995102827000, 357001329484806], 'label': '387072.a.12096.ec9', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ec9', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec9', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250311
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec10', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs1', '6048.cs2', '6048.cs3', '6048.dz2'], 'contains': ['24192.cr4', '24192.cr5', '24192.cr8', '24192.cr9', '24192.cr10', '24192.cr12', '24192.cr13', '24192.cr14', '24192.cr15', '24192.cr18', '24192.cx3', '24192.cx2', '24192.cx8', '24192.cx9', '24192.cx10', '24192.cx17', '24192.cy1', '24192.cy3', '24192.cy5', '24192.cy7', '24192.dn2', '24192.dn3', '24192.dn6', '24192.eh6', '24192.eh3', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [8921, -1, 8998, -1], 'generators': [5160, 40284726, 356995102827007, 1307674368001, 357001369406646], 'label': '387072.a.12096.ec10', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ec10', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec10', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250312
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.e1', '504.f1', '504.k1'], 'contains': ['2016.k1', '2016.bi1', '3024.be1', '4032.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4793, -1, 2332, -1], 'generators': [121, 367920, 1864985503034449, 6385622061409505, 355693695401647, 355687468380846, 7, 40284847], 'label': '387072.a.1008.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1008.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.h1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250313
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ec11', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.cs3', '6048.dz2'], 'contains': ['24192.cr6', '24192.cr7', '24192.cr5', '24192.cr9', '24192.cr10', '24192.cr13', '24192.cr16', '24192.cr18', '24192.cr20', '24192.cr21', '24192.cx4', '24192.cx6', '24192.cx7', '24192.cx11', '24192.cx13', '24192.cx16', '24192.cy6', '24192.cy7', '24192.cy8', '24192.dn3', '24192.dn6', '24192.dn5', '24192.eh6', '24192.eh4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [7967, -1, 8936, -1], 'generators': [5160, 40284726, 356995142385847, 1307674368001, 357001329484806], 'label': '387072.a.12096.ec11', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ec11', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ec11', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250315
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ed1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co1', '6048.cv1', '6048.eb1'], 'contains': ['24192.cs1', '24192.ct1', '24192.db3', '24192.dc1', '24192.dp2', '24192.dr1', '24192.ds1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2028, -1, 5027, -1], 'generators': [1307674735926, 40284726, 356995102464000, 1108948190077423, 357001369764486], 'label': '387072.a.12096.ed1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '12096.ed2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ed1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250316
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ee1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cy1', '6048.dr3', '6048.dx1'], 'contains': ['24192.cd2', '24192.ce2', '24192.de1', '24192.dg1', '24192.dl1', '24192.dm1', '24192.dt4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3043, -1, 6684, -1], 'generators': [1307714289846, 357001329852726, 753260761976383, 5046, 356995102464000], 'label': '387072.a.12096.ee1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.ee1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ee1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250317
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ee2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cy2', '6048.dr2', '6048.dx1'], 'contains': ['24192.cd1', '24192.ce1', '24192.de2', '24192.dg2', '24192.dl1', '24192.dm1', '24192.dt3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [3141, -1, 6654, -1], 'generators': [754574702919096, 5041, 356995102464000, 357001329489961, 1307714289841], 'label': '387072.a.12096.ee2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bs1', 'old_label': '12096.ee2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ee2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250318
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ef1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co2', '6048.co1', '6048.cz1', '6048.dr1', '6048.dx1', '6048.eb1'], 'contains': ['24192.cc1', '24192.cs2', '24192.cs1', '24192.df1', '24192.dh1', '24192.dl1', '24192.dr1', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2245, -1, 4938, -1], 'generators': [1307714647686, 357001329852726, 753260761976383, 362886, 356995102464000], 'label': '387072.a.12096.ef1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.ef1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ef1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250319
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.eg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co2', '6048.cp1', '6048.dc1', '6048.ds1', '6048.dy1', '6048.eb1', '6048.ec1'], 'contains': ['24192.ct2', '24192.dh1', '24192.dj1', '24192.ds1', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2311, -1, 5614, -1], 'generators': [1307714647686, 1110262131014976, 357001329852726, 362886, 356995102464000], 'label': '387072.a.12096.eg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.eg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.eg2', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250320
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.eg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.co1', '6048.cp2', '6048.dc1', '6048.ds1', '6048.dy1', '6048.eb1', '6048.ec1'], 'contains': ['24192.ct1', '24192.dh1', '24192.dj1', '24192.ds1', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2297, -1, 5582, -1], 'generators': [1307714647686, 357001329852726, 362886, 356995102464000, 1108948190072256], 'label': '387072.a.12096.eg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.eg2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.eg1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250321
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.eh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.cp2', '6048.cp1', '6048.dd1', '6048.dr1', '6048.dx1', '6048.ec1'], 'contains': ['24192.cf1', '24192.di1', '24192.dj1', '24192.dm1', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [3432, -1, 6747, -1], 'generators': [1307714647686, 357001329852726, 362886, 754574702919103, 356995102464000], 'label': '387072.a.12096.eh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.eh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.eh1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250322
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ei1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.by2', '6048.cs3', '6048.de3', '6048.ed1'], 'contains': ['24192.cm5', '24192.cm6', '24192.cm4', '24192.cx4', '24192.cx1', '24192.cx5', '24192.cx7', '24192.cx10', '24192.cx11', '24192.cx12', '24192.cx13', '24192.cx14', '24192.cx15', '24192.dk2', '24192.dk4', '24192.dk5', '24192.dn1', '24192.dn4', '24192.dn6', '24192.dn11', '24192.dp1', '24192.dp2', '24192.dp3', '24192.dp4', '24192.dt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5469, -1, 8313, -1], 'generators': [5160, 126, 356995142385840, 1307674368001, 357001329484806], 'label': '387072.a.12096.ei1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ei1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ei1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250323
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.e1', '504.h1', '504.j1'], 'contains': ['2016.k1', '2016.bq1', '3024.bf1', '4032.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4775, -1, 3953, -1], 'generators': [121, 367920, 6385615834383665, 1864985503034449, 355693695401647, 355687468380846, 7, 40284847], 'label': '387072.a.1008.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1008.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.i1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250324
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ei2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.by1', '6048.cs2', '6048.cs3', '6048.de3', '6048.ed1'], 'contains': ['24192.cm1', '24192.cm5', '24192.cm7', '24192.cx2', '24192.cx6', '24192.cx9', '24192.cx11', '24192.cx12', '24192.cx14', '24192.cx16', '24192.cx17', '24192.dk1', '24192.dk3', '24192.dk5', '24192.dn7', '24192.dn10', '24192.dn13', '24192.dn14', '24192.dp1', '24192.dp3', '24192.dp4', '24192.dp6', '24192.dt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6460, -1, 8033, -1], 'generators': [5160, 126, 356995142385847, 1307674368001, 357001329484806], 'label': '387072.a.12096.ei2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ei2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ei2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250325
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ei3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.by2', '6048.cs1', '6048.cs3', '6048.de3', '6048.ed1'], 'contains': ['24192.cm3', '24192.cm5', '24192.cm4', '24192.cm7', '24192.cx3', '24192.cx1', '24192.cx2', '24192.cx5', '24192.cx7', '24192.cx8', '24192.cx10', '24192.cx11', '24192.cx13', '24192.cx17', '24192.dk3', '24192.dk4', '24192.dn3', '24192.dn6', '24192.dn5', '24192.dn8', '24192.dn9', '24192.dp1', '24192.dp4', '24192.dt3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6176, -1, 8383, -1], 'generators': [5160, 126, 357001329484801, 356995102827000, 1307674368001], 'label': '387072.a.12096.ei3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ei3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ei3', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250326
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ei4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.by2', '6048.cs2', '6048.cs3', '6048.de1', '6048.ed1'], 'contains': ['24192.cm2', '24192.cm5', '24192.cm6', '24192.cm4', '24192.cm7', '24192.cx3', '24192.cx4', '24192.cx1', '24192.cx2', '24192.cx5', '24192.cx7', '24192.cx8', '24192.cx13', '24192.cx14', '24192.cx15', '24192.cx16', '24192.dk1', '24192.dk3', '24192.dk4', '24192.dn1', '24192.dn2', '24192.dn3', '24192.dn8', '24192.dn12', '24192.dp3', '24192.dp5', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6455, -1, 8397, -1], 'generators': [5160, 40284721, 357001329484801, 356995102827000, 1307674368001], 'label': '387072.a.12096.ei4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ei4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ei4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250327
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ei5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.by2', '6048.cs2', '6048.cs3', '6048.de2', '6048.ed1'], 'contains': ['24192.cm3', '24192.cm6', '24192.cm7', '24192.cx3', '24192.cx4', '24192.cx1', '24192.cx5', '24192.cx6', '24192.cx7', '24192.cx8', '24192.cx9', '24192.cx10', '24192.cx13', '24192.cx15', '24192.dk3', '24192.dk5', '24192.dn2', '24192.dn4', '24192.dn5', '24192.dn9', '24192.dn12', '24192.dp2', '24192.dp5', '24192.dp6', '24192.dt4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [6117, -1, 8299, -1], 'generators': [5160, 40284721, 357001329847801, 356995142748840, 1307674368001], 'label': '387072.a.12096.ei5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ei5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ei5', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250328
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ej1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.ct1', '6048.df1', '6048.dz2'], 'contains': ['24192.cr6', '24192.cr7', '24192.cr4', '24192.cr5', '24192.cr8', '24192.cr9', '24192.cy1', '24192.cy2', '24192.cy3', '24192.cy4', '24192.cy5', '24192.cy6', '24192.cy7', '24192.cy8', '24192.dn1', '24192.dn4', '24192.dn6', '24192.do1', '24192.do3', '24192.do5', '24192.do6', '24192.dq1', '24192.dq2', '24192.dq3', '24192.dq4', '24192.dt1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [5566, -1, 8809, -1], 'generators': [5160, 40284726, 356995102464000, 1307674368001, 357001329484806], 'label': '387072.a.12096.ej1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.ej1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ej1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250329
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ej2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.ct1', '6048.df2', '6048.dr1', '6048.ds1', '6048.dz2'], 'contains': ['24192.cr12', '24192.cr15', '24192.cr16', '24192.cr18', '24192.cy1', '24192.cy4', '24192.cy5', '24192.cy7', '24192.cy8', '24192.dn5', '24192.dn14', '24192.do1', '24192.do4', '24192.do5', '24192.do6', '24192.dq3', '24192.dq4', '24192.dt2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [5749, -1, 8781, -1], 'generators': [357001329847806, 5160, 40284726, 356995102464000, 1307674368001], 'label': '387072.a.12096.ej2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ej2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ej2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250330
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ej3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.ct1', '6048.df2', '6048.dr2', '6048.dt1', '6048.dz1', '6048.dz2'], 'contains': ['24192.cr11', '24192.cr13', '24192.cr17', '24192.cr20', '24192.cy5', '24192.cy6', '24192.cy9', '24192.cy10', '24192.dn2', '24192.dn13', '24192.do2', '24192.do4', '24192.do5', '24192.dq2', '24192.dt3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [7746, -1, 8851, -1], 'generators': [5160, 40284726, 356995102464007, 1307674368001, 357001329484806], 'label': '387072.a.12096.ej3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ej3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ej3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250331
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ej4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.ct1', '6048.df2', '6048.dr3', '6048.dt2', '6048.dz2'], 'contains': ['24192.cr10', '24192.cr14', '24192.cr19', '24192.cr21', '24192.cy1', '24192.cy3', '24192.cy7', '24192.cy8', '24192.cy9', '24192.dn3', '24192.dn7', '24192.do2', '24192.do3', '24192.do5', '24192.do6', '24192.dq3', '24192.dq4', '24192.dt4'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [6937, -1, 8795, -1], 'generators': [5160, 40284726, 356995102464000, 1307674368001, 357001369406646], 'label': '387072.a.12096.ej4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ej4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ej4', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250332
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ek1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bm1', '6048.dh1', '6048.eb1'], 'contains': ['24192.cs2', '24192.cs1', '24192.ct2', '24192.ct1', '24192.du2', '24192.dv1', '24192.dw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2002, -1, 4883, -1], 'generators': [121, 754568436344263, 357001369406641, 356995102464000, 1307674368001], 'label': '387072.a.12096.ek1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.cd1', 'old_label': '12096.ek1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ek1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250333
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.el1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bc1', '6048.dg1', '6048.ea1'], 'contains': ['24192.dv1', '24192.dw1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [1636, -1, 3962, -1], 'generators': [121, 754568475898297, 4895932659609022, 356995102464000, 1307674368001], 'label': '387072.a.12096.el1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.ca1', 'old_label': '12096.el1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.el1', 'subgroup_fusion': None, 'weyl_group': '32.27'}
  • id: 66250334
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '252.b1', '504.d1', '504.e1', '504.l1'], 'contains': ['2016.j1', '2016.j2', '2016.k1', '2016.bn1', '2016.bs1', '3024.bg1', '4032.e1', '4032.e2', '4032.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4741, -1, 1656, -1], 'generators': [5160, 121, 1864985502671568, 356995142385847, 39921847, 7, 1307674368001, 357001369406646], 'label': '387072.a.1008.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '1008.j1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.j1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66250335
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.em1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.be1', '6048.bf1', '6048.dg1', '6048.ea1'], 'contains': ['24192.cz1', '24192.da1', '24192.dv1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [1730, -1, 3943, -1], 'generators': [121, 1108948190072263, 4540245191228183, 356995102464000, 1307674368001], 'label': '387072.a.12096.em1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.t1', 'old_label': '12096.em1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.em1', 'subgroup_fusion': None, 'weyl_group': '96.70'}
  • id: 66250336
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.en1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bf1', '4032.bg1', '6048.bk1', '6048.du1', '6048.ee1'], 'contains': ['24192.db2', '24192.dd2', '24192.dx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [2770, -1, 5834, -1], 'generators': [5041, 357001329484801, 1307674368001, 1108948190072382, 356995102469160], 'label': '387072.a.12096.en1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.f1', 'old_label': '12096.en1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.en1', 'subgroup_fusion': None, 'weyl_group': '24.13'}
  • id: 66250337
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.en2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bk2', '6048.du2', '6048.ee1'], 'contains': ['24192.db2', '24192.db1', '24192.dd2', '24192.dd1', '24192.dx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [2736, -1, 5937, -1], 'generators': [1307674373161, 753260761976383, 5041, 357001329484801, 356995102469160], 'label': '387072.a.12096.en2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.bc1', 'old_label': '12096.en2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.en2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250338
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.eo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.br1', '6048.cq1', '6048.dh1', '6048.du3', '6048.dx1', '6048.eb1', '6048.ee1'], 'contains': ['24192.db2', '24192.db1', '24192.db3', '24192.de1', '24192.de2', '24192.df1', '24192.dj1', '24192.dv1', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2437, -1, 5382, -1], 'generators': [121, 1108948190072263, 356995102464000, 357001329489961, 1307674368001], 'label': '387072.a.12096.eo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.eo1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.eo1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250339
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ep1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bt3', '6048.cq1', '6048.di1', '6048.dw1', '6048.dx1', '6048.ec1', '6048.ef1'], 'contains': ['24192.dg1', '24192.dg2', '24192.dh1', '24192.di1', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2993, -1, 6175, -1], 'generators': [121, 754574702919096, 356995102464000, 357001329489961, 1307674368001], 'label': '387072.a.12096.ep1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.ep1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ep1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250340
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.eq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bu1', '6048.cr1', '6048.dh1', '6048.dw1', '6048.dy1', '6048.eb1', '6048.ef1'], 'contains': ['24192.dc1', '24192.dh1', '24192.dw1', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2200, -1, 5241, -1], 'generators': [754574702924016, 121, 356995102464000, 357001329489961, 1307674368001], 'label': '387072.a.12096.eq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.eq1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.eq1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250341
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.er1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bw1', '6048.cr1', '6048.di1', '6048.du3', '6048.dy1', '6048.ec1', '6048.ee1'], 'contains': ['24192.dd2', '24192.dd1', '24192.dj1', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [2813, -1, 5968, -1], 'generators': [121, 356995102464000, 1108948190077423, 357001329489961, 1307674368001], 'label': '387072.a.12096.er1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.u1', 'old_label': '12096.er1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.er1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 66250355
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ex2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bn1', '6048.h1', '6048.dp1', '6048.dp3'], 'contains': ['24192.ec3', '24192.ed1', '24192.ef4', '24192.ef3', '24192.eg4', '24192.eg3', '24192.eh2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9711, -1, 9575, -1], 'generators': [754574702919096, 40284721, 356995142385847, 357001329489961, 1307674731001], 'label': '387072.a.12096.ex2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '12096.ex2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ex2', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250342
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.es1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bh1', '6048.bz1', '6048.cs1', '6048.df1', '6048.du1', '6048.dv1', '6048.dz1', '6048.ed1'], 'contains': ['24192.cx1', '24192.cx12', '24192.dn2', '24192.dn13', '24192.dq2', '24192.dt3', '24192.dx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [4982, -1, 7660, -1], 'generators': [5160, 126, 357001329484801, 356995102827007, 1307674368001], 'label': '387072.a.12096.es1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '252.d1', 'old_label': '12096.es1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.es1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66250343
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.es2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx1', '6048.bx2', '6048.bz1', '6048.ct1', '6048.dj1', '6048.ed1'], 'contains': ['24192.cx3', '24192.cx4', '24192.cx1', '24192.cx2', '24192.cx5', '24192.cx6', '24192.dn1', '24192.dn2', '24192.dn4', '24192.dn7', '24192.dn5', '24192.dn8', '24192.dn9', '24192.dn10', '24192.dn11', '24192.dp1', '24192.dp2', '24192.dp3', '24192.dp4', '24192.dq1', '24192.dq2', '24192.dq3', '24192.dq4', '24192.du2', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4612, -1, 7934, -1], 'generators': [5160, 121, 356995142385847, 1307674368001, 357001329484806], 'label': '387072.a.12096.es2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.es2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.es2', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250344
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.es3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.bz1', '6048.ct1', '6048.dj2', '6048.du3', '6048.dw1', '6048.ed1'], 'contains': ['24192.cx9', '24192.cx12', '24192.cx13', '24192.cx16', '24192.cx17', '24192.dn3', '24192.dn4', '24192.dn8', '24192.dn9', '24192.dn11', '24192.dn12', '24192.dn14', '24192.dp4', '24192.dp5', '24192.dq2', '24192.dq3', '24192.du1', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4631, -1, 7948, -1], 'generators': [5160, 126, 356995142385840, 1307674368001, 357001369406646], 'label': '387072.a.12096.es3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.es3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.es3', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250345
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.k2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1', '504.a1'], 'contains': ['2016.r1', '3024.bh2', '4032.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3188, -1, 2483, -1], 'generators': [1509230704291182, 1864985502671568, 40284726, 355693695401647, 6028620731924825, 355687428459006, 4124652952095055, 5167], 'label': '387072.a.1008.k2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.a1', 'old_label': '1008.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.k2', 'subgroup_fusion': None, 'weyl_group': '384.5786'}
  • id: 66250346
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.es4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bx2', '6048.bz1', '6048.ct1', '6048.dj2', '6048.ed1'], 'contains': ['24192.cx7', '24192.cx8', '24192.cx10', '24192.cx11', '24192.cx14', '24192.cx15', '24192.dn2', '24192.dn3', '24192.dn6', '24192.dn5', '24192.dn8', '24192.dn9', '24192.dn10', '24192.dn11', '24192.dn12', '24192.dn13', '24192.dp1', '24192.dp3', '24192.dp5', '24192.dp6', '24192.dq2', '24192.dq3', '24192.dq4', '24192.du1', '24192.du2', '24192.dy1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4708, -1, 7906, -1], 'generators': [5160, 121, 357001329484801, 356995142748840, 1307674368001], 'label': '387072.a.12096.es4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.es4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.es4', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250347
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.es5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bz1', '6048.cs2', '6048.df2', '6048.du2', '6048.dv2', '6048.dz2', '6048.ed1'], 'contains': ['24192.cx5', '24192.cx8', '24192.cx9', '24192.cx15', '24192.cx16', '24192.cx17', '24192.dn1', '24192.dn6', '24192.dn7', '24192.dn5', '24192.dn13', '24192.dq2', '24192.dq3', '24192.dt1', '24192.dt2', '24192.dt4', '24192.dx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [4764, -1, 7962, -1], 'generators': [5160, 126, 356995102464000, 1307674368001, 357001369406646], 'label': '387072.a.12096.es5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.es5', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.es5', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250348
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.es6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bz1', '6048.cs3', '6048.df1', '6048.df2', '6048.dz2', '6048.ed1'], 'contains': ['24192.cx3', '24192.cx4', '24192.cx2', '24192.cx6', '24192.cx7', '24192.cx10', '24192.cx11', '24192.cx13', '24192.cx14', '24192.dn1', '24192.dn2', '24192.dn3', '24192.dn4', '24192.dn6', '24192.dn5', '24192.dn14', '24192.dq1', '24192.dq2', '24192.dq3', '24192.dq4', '24192.dt1', '24192.dt2', '24192.dt3', '24192.dt4', '24192.dx2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [4324, -1, 7920, -1], 'generators': [5160, 126, 356995142385847, 357001329484801, 1307674368001], 'label': '387072.a.12096.es6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.a1', 'old_label': '12096.es6', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.es6', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250349
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.et1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bi1', '6048.by1', '6048.by2', '6048.df1', '6048.dj1', '6048.ed1', '6048.eg1'], 'contains': ['24192.dk1', '24192.dk3', '24192.dk5', '24192.dp1', '24192.dp3', '24192.dp4', '24192.dp6', '24192.dt1', '24192.dx1', '24192.dx2', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3582, -1, 7005, -1], 'generators': [5160, 126, 356995102464000, 1307674368001, 357001329484806], 'label': '387072.a.12096.et1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.l1', 'old_label': '12096.et1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.et1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250350
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.et2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.by2', '6048.df2', '6048.dj2', '6048.dx1', '6048.dy1', '6048.ed1', '6048.eg1'], 'contains': ['24192.dk2', '24192.dk3', '24192.dk4', '24192.dk5', '24192.dp1', '24192.dp2', '24192.dp3', '24192.dp4', '24192.dp5', '24192.dt2', '24192.dt3', '24192.dt4', '24192.dx2', '24192.dy1', '24192.dy2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3514, -1, 7380, -1], 'generators': [5160, 121, 356995102464007, 357001329484801, 1307674368001], 'label': '387072.a.12096.et2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.et2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.et2', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250351
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.eu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.dk1', '6048.ea1', '6048.eb1'], 'contains': ['24192.dr1', '24192.ds1', '24192.dv1', '24192.dw1', '24192.dz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1512, 'diagramx': [1948, -1, 4647, -1], 'generators': [754574702924137, 355693695038640, 356995142385840, 1307674373040, 39921840], 'label': '387072.a.12096.eu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1512.r1', 'old_label': '12096.eu1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.eu1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 66250352
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ev1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.bz1', '6048.ct1', '6048.dm1', '6048.eb1', '6048.ec1', '6048.ed1', '6048.eg1'], 'contains': ['24192.dp1', '24192.dp2', '24192.dp3', '24192.dp4', '24192.dp5', '24192.dp6', '24192.dt1', '24192.dt2', '24192.dt3', '24192.dt4', '24192.du1', '24192.du2', '24192.dy1', '24192.dy2', '24192.dz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 756, 'diagramx': [3240, -1, 6906, -1], 'generators': [5160, 121, 356995102464000, 1307674368001, 357001329484806], 'label': '387072.a.12096.ev1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '756.g1', 'old_label': '12096.ev1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ev1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250353
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ew1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1512.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bj1', '4032.bk1', '4032.bl1', '6048.bz1', '6048.dn1', '6048.ee1', '6048.ef1', '6048.eg1'], 'contains': ['24192.dx1', '24192.dx2', '24192.dy1', '24192.dy2', '24192.dz1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [2405, -1, 5915, -1], 'generators': [5160, 121, 357001329484801, 356995102464000, 1307674368001], 'label': '387072.a.12096.ew1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1512.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.a1', 'old_label': '12096.ew1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ew1', 'subgroup_fusion': None, 'weyl_group': '18.3'}
  • id: 66250354
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ex1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bm1', '6048.h1', '6048.dp2', '6048.dp4'], 'contains': ['24192.ec3', '24192.ed1', '24192.ef1', '24192.ef2', '24192.eg1', '24192.eg2', '24192.eh1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9727, -1, 9635, -1], 'generators': [1108948190072263, 357001329852726, 39921966, 356995142385847, 1307714652841], 'label': '387072.a.12096.ex1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '12096.ex1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ex1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250356
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1', '504.a1'], 'contains': ['2016.r1', '3024.bh1', '4032.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3178, -1, 2507, -1], 'generators': [1509230704291182, 6028626958945505, 1864985502671568, 40284726, 355693695401647, 355687428459006, 4124652952095055, 5167], 'label': '387072.a.1008.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.a1', 'old_label': '1008.k2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.k1', 'subgroup_fusion': None, 'weyl_group': '384.5786'}
  • id: 66250357
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ex3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.h1', '6048.dp1', '6048.dp2'], 'contains': ['24192.ec3', '24192.ed1', '24192.ef4', '24192.ef2', '24192.eg4', '24192.eg2', '24192.eh3'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9742, -1, 9515, -1], 'generators': [1307674373161, 39921966, 357001369401726, 356995102827007, 1108948190077423], 'label': '387072.a.12096.ex3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '12096.ex3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ex3', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250358
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '12096.ex4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6048.h1', '6048.dp3', '6048.dp4'], 'contains': ['24192.ec3', '24192.ed1', '24192.ef1', '24192.ef3', '24192.eg1', '24192.eg3', '24192.eh5'], 'core': '387072.a1', 'coset_action_label': None, 'count': 3024, 'diagramx': [9675, -1, 9605, -1], 'generators': [1307674373161, 753260761976262, 40284721, 357001369764481, 356995102827007], 'label': '387072.a.12096.ex4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3024.v1', 'old_label': '12096.ex4', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12096.ex4', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 66250359
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '13824.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '13824.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1728.a1', '4608.a1', '6912.a1'], 'contains': ['27648.a1', '27648.b1', '96768.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [139, -1, 557, -1], 'generators': [357001369769527, 39916920, 5278182555329273], 'label': '387072.a.13824.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '13824.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13824.a1', 'subgroup_fusion': None, 'weyl_group': '6.2'}
  • id: 66250360
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '13824.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.a1', '4608.b1', '6912.a1'], 'contains': ['27648.b1', '27648.c1', '96768.j1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [148, -1, 231, -1], 'generators': [1876144015485480, 362881, 1110235220675152], 'label': '387072.a.13824.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '13824.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13824.b1', 'subgroup_fusion': None, 'weyl_group': '84.7'}
  • id: 66250361
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '13824.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['216.b1', '4608.c1', '6912.a1'], 'contains': ['27648.b1', '96768.k1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2304, 'diagramx': [209, -1, 579, -1], 'generators': [1110235221038152, 1877457917232127, 362881], 'label': '387072.a.13824.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2304.a1', 'old_label': '13824.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13824.c1', 'subgroup_fusion': None, 'weyl_group': '84.7'}
  • id: 66250362
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '14336.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '129024.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['224.a1', '3584.a1', '7168.a1'], 'contains': ['43008.a1', '43008.b1', '43008.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 7168, 'diagramx': [9991, -1, 9967, -1], 'generators': [6393931212977977, 9677139062526, 5643567240227136], 'label': '387072.a.14336.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7168.a1', 'old_label': '14336.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14336.a1', 'subgroup_fusion': None, 'weyl_group': '18.3'}
  • id: 66250363
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.e1', '4032.e2', '4032.h1', '8064.a1', '8064.b1', '8064.x1'], 'contains': ['32256.a1', '32256.c1', '32256.c2', '32256.h1', '32256.n1', '48384.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [8849, -1, 709, -1], 'generators': [40279801, 1510605789218335, 1307714284921, 357001329484806], 'label': '387072.a.16128.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '16128.a1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250364
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.a1', '8064.a1', '8064.c1', '8064.t1'], 'contains': ['32256.a1', '32256.d1', '32256.i1', '32256.o1', '48384.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [4523, -1, 608, -1], 'generators': [367920, 355693695401647, 1864985502666529, 6028620692002864], 'label': '387072.a.16128.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '16128.b1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250365
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.b1', '8064.a1', '8064.d1', '8064.v1'], 'contains': ['32256.a1', '32256.e1', '48384.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [2100, -1, 737, -1], 'generators': [367920, 355693695401647, 1864985502666529, 6384314347124710], 'label': '387072.a.16128.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '16128.c1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250366
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.c1', '8064.b1', '8064.d1', '8064.t1'], 'contains': ['32256.a1', '32256.j1', '48384.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [4469, -1, 1000, -1], 'generators': [6385622061409631, 367920, 355693695401647, 1864985502666529], 'label': '387072.a.16128.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '16128.d1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250367
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['252.a1', '504.b1'], 'contains': ['2016.l1', '2016.m1', '2016.q1', '3024.bk1', '4032.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3057, -1, 1970, -1], 'generators': [1509230664374383, 1864985502671568, 40284726, 355693695401647, 6028620731924825, 355687428459006, 3768965524361928, 5167], 'label': '387072.a.1008.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '1008.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.l1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250368
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16128.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.d1', '8064.b1', '8064.c1', '8064.v1'], 'contains': ['32256.a1', '32256.q1', '48384.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9566, -1, 1403, -1], 'generators': [6029928406287785, 367920, 355693695401647, 1864985502666529], 'label': '387072.a.16128.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '16128.e1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250369
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.f1', '4032.f2', '4032.v1', '8064.c1', '8064.d1', '8064.x1'], 'contains': ['32256.a1', '32256.b1', '32256.g1', '32256.n1', '32256.s1', '48384.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9830, -1, 943, -1], 'generators': [40279801, 1866299404060368, 357001329852726, 1307714652841], 'label': '387072.a.16128.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.p1', 'old_label': '16128.f1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 66250370
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.g1', '8064.e1', '8064.f3', '8064.g1', '8064.g2', '8064.s1', '8064.bb1'], 'contains': ['32256.l1', '48384.h1', '64512.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [2879, -1, 839, -1], 'generators': [1307714647807, 355687428096006, 355693655116800, 1509304341508254], 'label': '387072.a.16128.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '16128.g1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250371
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.i1', '4032.j1', '4032.l1', '8064.a1'], 'contains': ['32256.c1', '32256.d1', '32256.e1', '48384.j1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [2340, -1, 444, -1], 'generators': [40279801, 6384314387041504, 1864985502671568, 355693695401647], 'label': '387072.a.16128.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.a1', 'old_label': '16128.h1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250372
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.h2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.l2', '8064.a1'], 'contains': ['32256.c2', '32256.d1', '32256.e1', '48384.j2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [2251, -1, 559, -1], 'generators': [6384314347482550, 39921961, 1864985503034449, 355693695401647], 'label': '387072.a.16128.h2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.a1', 'old_label': '16128.h2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.h2', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250373
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.cv1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.g1', '4032.k1', '8064.f1', '8064.h1', '8064.l1', '8064.m1', '8064.n1', '8064.n4', '8064.r2'], 'contains': ['32256.v1', '48384.n1', '64512.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [2831, -1, 1793, -1], 'generators': [1509298074570528, 40284726, 355693695401647, 355687428463921], 'label': '387072.a.16128.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '16128.i1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.i1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250374
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.i2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.g1', '8064.f2', '8064.h2', '8064.h3', '8064.n2', '8064.n3', '8064.r1', '8064.r2'], 'contains': ['32256.v1', '48384.n2', '64512.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [6365, -1, 1738, -1], 'generators': [1866299444335135, 355693695033720, 1307674730887, 356995102827000], 'label': '387072.a.16128.i2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '16128.i2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.i2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250376
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.j1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.k1', '8064.j1', '8064.o1', '8064.p1'], 'contains': ['48384.r1', '64512.a1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [1507, -1, 323, -1], 'generators': [3768959337257814, 1864985503034449, 355693695401647, 1864918132382023], 'label': '387072.a.16128.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.i1', 'old_label': '16128.k1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.k1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250377
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.n1', '4032.n2', '4032.n3', '4032.o1', '4032.w1', '8064.x1'], 'contains': ['32256.b1', '32256.c1', '32256.c2', '32256.f1', '32256.g1', '32256.h1', '48384.s1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [3285, -1, 675, -1], 'generators': [40279801, 1864985502671568, 357001329484806, 1307714652841], 'label': '387072.a.16128.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.x1', 'old_label': '16128.l1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 66250378
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.l2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.b1'], 'contains': ['2016.l1', '2016.o1', '2016.p2', '3024.bk2', '4032.l2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3044, -1, 1818, -1], 'generators': [1864918092470382, 6028620731924825, 3768965524361928, 1864985503034449, 40284726, 355687428463921, 355693695401647, 363007], 'label': '387072.a.1008.l2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '1008.l2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.l2', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250379
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2304.a1', '4032.m1', '8064.t1'], 'contains': ['32256.f1', '32256.i1', '32256.j1', '48384.t1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [4048, -1, 583, -1], 'generators': [357001369406767, 367920, 1510605749301534, 6384314347119785], 'label': '387072.a.16128.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.t1', 'old_label': '16128.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.m1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250380
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.r1', '4032.r2', '5376.a1', '8064.t1', '8064.v1', '8064.x1'], 'contains': ['32256.a1', '32256.f1', '32256.k1', '48384.v1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [3695, -1, 642, -1], 'generators': [367920, 355693695401647, 1307674730880, 1864985502666529], 'label': '387072.a.16128.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '16128.n1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.n1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 66250381
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.t1', '5376.a1', '8064.y1', '8064.ba1', '8064.bb1'], 'contains': ['32256.l1', '48384.v1', '64512.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5960, -1, 968, -1], 'generators': [1509304341508254, 356995142748847, 357001369769641, 1307714652841], 'label': '387072.a.16128.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '16128.o1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.o1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250382
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.u1', '4032.u2', '5376.a1', '8064.u1', '8064.w1', '8064.z1'], 'contains': ['32256.m1', '48384.v1', '64512.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1344, 'diagramx': [5978, -1, 6714, -1], 'generators': [357001369769646, 3022645625015455, 5041, 356995142748847], 'label': '387072.a.16128.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1344.a1', 'old_label': '16128.p1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.p1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66250383
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.cv1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bh1', '8064.f1', '8064.r1', '8064.bc1', '8064.bd1', '8064.be1', '8064.bf2', '8064.bm1'], 'contains': ['32256.v1', '48384.bc1', '64512.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9394, -1, 1946, -1], 'generators': [355693695033720, 1510605748943568, 1307674373040, 356995102469167], 'label': '387072.a.16128.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '16128.q1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.q1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250384
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.q2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bh1', '8064.f2', '8064.r2', '8064.be2', '8064.be3', '8064.bf1', '8064.bf3', '8064.bm1'], 'contains': ['32256.v1', '48384.bc2', '64512.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9458, -1, 1762, -1], 'generators': [1510611975964495, 356995142385847, 1307674373040, 357001329489961], 'label': '387072.a.16128.q2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '16128.q2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.q2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250385
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.x1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.s1', '4032.bc1', '4032.bj1', '5376.b1', '8064.x1'], 'contains': ['32256.g1', '32256.h1', '32256.k1', '48384.bm1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [9631, -1, 784, -1], 'generators': [367920, 1864985502671568, 1307674730880, 357001329484806], 'label': '387072.a.16128.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.c1', 'old_label': '16128.r1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.r1', 'subgroup_fusion': None, 'weyl_group': '3.1'}
  • id: 66250386
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bk1', '5376.b1', '8064.f3', '8064.y1', '8064.bq1'], 'contains': ['32256.l1', '48384.bm1', '64512.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5928, -1, 1056, -1], 'generators': [39916927, 355687428096006, 355693655116800, 1864985502666529], 'label': '387072.a.16128.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '16128.s1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.s1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250387
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.s2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12096.cv1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bk1', '8064.f1', '8064.f2', '8064.bg1', '8064.bi1', '8064.bk1', '8064.bk2', '8064.bl1'], 'contains': ['32256.v1', '48384.bm2', '64512.c1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 1008, 'diagramx': [9326, -1, 1847, -1], 'generators': [355693695033727, 355687468012926, 126, 1864985542583335], 'label': '387072.a.16128.s2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1008.o1', 'old_label': '16128.s2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.s2', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250388
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8064.y1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.t1', '5376.b1', '8064.e1', '8064.y1', '8064.bu1'], 'contains': ['32256.l1', '48384.bm1', '64512.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 672, 'diagramx': [5950, -1, 1026, -1], 'generators': [356995102831920, 357001329852726, 1307674735926, 1866299444340174], 'label': '387072.a.16128.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '672.a1', 'old_label': '16128.t1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.t1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250389
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.l3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['504.b1'], 'contains': ['2016.m1', '2016.n1', '2016.p2', '3024.bk3', '4032.l2'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3118, -1, 1881, -1], 'generators': [1864918092470382, 6028626958945505, 3768965524361928, 1864985503034449, 40284726, 355687428463921, 355693695401647, 363007], 'label': '387072.a.1008.l3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '1008.l3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.l3', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250390
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.u1', '4032.bd1', '4032.bl1', '5376.b1', '8064.z1'], 'contains': ['32256.m1', '48384.bm1', '64512.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [5993, -1, 6780, -1], 'generators': [355687428463926, 5041, 3378333013194655, 355693655484727], 'label': '387072.a.16128.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.c1', 'old_label': '16128.u1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.u1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250391
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.u2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.u2', '4032.bd2', '4032.bd3', '4032.bl1', '8064.bh1', '8064.bj1', '8064.bn1'], 'contains': ['32256.w1', '48384.bm3', '64512.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9547, -1, 9707, -1], 'generators': [3022645585098654, 367920, 355687428096001, 355693655116807], 'label': '387072.a.16128.u2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.ba1', 'old_label': '16128.u2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.u2', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66250392
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bi1', '8064.e1', '8064.g1', '8064.g2', '8064.ba1', '8064.bp1', '8064.bq1'], 'contains': ['32256.l1', '48384.bn1', '64512.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5908, -1, 875, -1], 'generators': [40279801, 1509298074570528, 355687428096006, 355693655116800], 'label': '387072.a.16128.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '16128.v1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.v1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250393
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.y1', '5376.c1', '8064.t1'], 'contains': ['32256.i1', '32256.j1', '32256.k1', '48384.bo1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [4553, -1, 1136, -1], 'generators': [1864991769604129, 367920, 1307674730880, 6028620732287590], 'label': '387072.a.16128.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.t1', 'old_label': '16128.w1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.w1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250394
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bb1', '5376.c1', '8064.u1'], 'contains': ['32256.m1', '48384.bo1', '64512.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2688, 'diagramx': [5985, -1, 5559, -1], 'generators': [1307674368120, 39916920, 3378326826090534, 1869021652780816], 'label': '387072.a.16128.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2688.a1', 'old_label': '16128.x1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.x1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66250395
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bh1', '8064.f3', '8064.s1', '8064.ba1', '8064.bp1', '8064.br1', '8064.bu1', '8064.bv1'], 'contains': ['32256.l1', '48384.bp1', '64512.b1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5938, -1, 898, -1], 'generators': [1510612015881294, 355687428096006, 355693655116800, 1307674373040], 'label': '387072.a.16128.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '16128.y1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.y1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250396
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.be1', '4032.bi1', '8064.g1', '8064.g2', '8064.bb1', '8064.bq1', '8064.bu1', '8064.bv1'], 'contains': ['32256.l1', '48384.bq1', '64512.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [5918, -1, 815, -1], 'generators': [1864985502671568, 355687428096006, 355693655116800, 5046], 'label': '387072.a.16128.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.bc1', 'old_label': '16128.z1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.z1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250397
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.x1', '8064.c1'], 'contains': ['32256.n1', '32256.o1', '32256.q1', '48384.br1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9817, -1, 1449, -1], 'generators': [1509298074570535, 6029934593759591, 1307714284921, 357001329484806], 'label': '387072.a.16128.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.c1', 'old_label': '16128.ba1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.ba1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250398
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32256.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.z1', '5376.d1', '8064.c1'], 'contains': ['32256.o1', '32256.q1', '32256.s1', '48384.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9861, -1, 1558, -1], 'generators': [1509298074570535, 6029934593759591, 357001329852726, 1307714652841], 'label': '387072.a.16128.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.c1', 'old_label': '16128.bb1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 66250399
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64512.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.q1', '4032.ba1', '4032.bm1', '5376.d1', '5376.e1'], 'contains': ['32256.p1', '32256.r1', '32256.t1', '48384.bx1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 5376, 'diagramx': [9897, -1, 9733, -1], 'generators': [3021337911098454, 356995142743806, 1869015425765182, 355693655484727], 'label': '387072.a.16128.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '5376.d1', 'old_label': '16128.bc1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bc1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 66250400
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '1008.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['144.b1', '252.a1', '504.b1'], 'contains': ['2016.n1', '2016.o1', '2016.q1', '3024.bl1', '4032.i1', '4032.j1', '4032.l1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [3029, -1, 952, -1], 'generators': [1509230664374383, 6028626958945505, 1864985502671568, 40284726, 355693695401647, 355687428459006, 3768965524361928, 5167], 'label': '387072.a.1008.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '504.b1', 'old_label': '1008.m1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008.m1', 'subgroup_fusion': None, 'weyl_group': '384.18158'}
  • id: 66250401
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bb1', '4032.bn1', '8064.bw1'], 'contains': ['32256.u1', '48384.bx2', '64512.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9888, -1, 9783, -1], 'generators': [1869015385848376, 3021331723989534, 357001369769520, 356995102469167], 'label': '387072.a.16128.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.bw1', 'old_label': '16128.bd1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bd1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66250402
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.t1', '8064.h1', '8064.h2', '8064.h3', '8064.bf1', '8064.bf2', '8064.bf3', '8064.bl1'], 'contains': ['32256.v1', '48384.by1', '64512.d1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9433, -1, 1669, -1], 'generators': [1866299404423375, 357001329852726, 355687468012926, 1307714652727], 'label': '387072.a.16128.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '16128.be1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.be1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250403
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.u1', '4032.bd1', '4032.bd2', '4032.bd3', '8064.bn1'], 'contains': ['32256.w1', '48384.by2', '64512.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9644, -1, 9759, -1], 'generators': [3377019112173768, 40279806, 355693695038647, 356995142743680], 'label': '387072.a.16128.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.bn1', 'old_label': '16128.bf1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bf1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250404
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.u2', '4032.bd1', '4032.bd2', '8064.bw1', '8064.bx1', '8064.by1'], 'contains': ['32256.u1', '48384.by3', '64512.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [9919, -1, 9814, -1], 'generators': [3377019112173649, 355687468380841, 1307714652720, 355693655484727], 'label': '387072.a.16128.bf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.bm1', 'old_label': '16128.bf2', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bf2', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66250405
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bf3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.r1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.u2', '4032.bd1', '4032.bd3', '8064.by1'], 'contains': ['32256.u1', '48384.by4', '64512.e1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9937, -1, 9883, -1], 'generators': [40284726, 356995142385847, 355693695401640, 3377019112168608], 'label': '387072.a.16128.bf3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.by1', 'old_label': '16128.bf3', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bf3', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250406
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.be1', '8064.i1'], 'contains': ['32256.x1', '48384.cb1', '64512.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [4124, -1, 261, -1], 'generators': [1864985502671568, 4124652952094934, 355693655121846, 1864924319491062], 'label': '387072.a.16128.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.i1', 'old_label': '16128.bg1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bg1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250407
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96768.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.be1', '8064.k1'], 'contains': ['48384.cc1', '64512.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [5517, -1, 2113, -1], 'generators': [3768959296978134, 1864985502671568, 1864918092465222, 355693655121846], 'label': '387072.a.16128.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.k1', 'old_label': '16128.bh1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bh1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250408
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48384.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bf1', '8064.l1', '8064.bc1', '8064.bg1'], 'contains': ['32256.v1', '48384.ce1', '64512.g1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 4032, 'diagramx': [4494, -1, 2056, -1], 'generators': [1864991769604248, 6028626919023784, 355687468012807, 355693655116921], 'label': '387072.a.16128.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4032.a1', 'old_label': '16128.bi1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bi1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 66250409
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '193536.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4032.bb1', '4032.bg1', '4032.bn1', '8064.bh1'], 'contains': ['32256.w1', '48384.cd1', '64512.h1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 8064, 'diagramx': [9655, -1, 6325, -1], 'generators': [3022645585103688, 355693655116807, 1869015425760022, 355687428463921], 'label': '387072.a.16128.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8064.bh1', 'old_label': '16128.bj1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bj1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 66250410
    {'ambient': '387072.a', 'aut_centralizer_order': None, 'aut_label': '16128.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24192.bz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2304.b1', '4032.bi1', '8064.h2', '8064.n1', '8064.n2', '8064.be1', '8064.be2', '8064.bf1', '8064.bk1'], 'contains': ['32256.v1', '48384.cg1', '64512.f1'], 'core': '387072.a1', 'coset_action_label': None, 'count': 2016, 'diagramx': [9347, -1, 1715, -1], 'generators': [40279801, 355693695396480, 1509304301954334, 355687428459006], 'label': '387072.a.16128.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2016.x1', 'old_label': '16128.bk1', 'projective_image': '387072.a', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16128.bk1', 'subgroup_fusion': None, 'weyl_group': '12.3'}