Abstract group data - 373248.cq

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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': '8.5', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [12, 6, 24], 'aut_gens': [[17483028733686813767730302, 49792475885565611628472724, 33641553823689681447788973], [134180158879604762206733822, 56203617993758119241663487, 172724594377029719000227633], [19600998912157532875082959, 36075237279972548325304944, 102380066377825350670188988], [165208238326785784115488557, 219024084775001466478299816, 195649443109359993443971299]], 'aut_group': '373248.cq', 'aut_hash': 3227870960273308787, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 373248, 'aut_permdeg': 486, 'aut_perms': [4713138897088435174734273440642318509431708933922825665302326720576637217130290075686081110094006793916804723753181971508493093288190202218247659767761681036253524989649661796472155406463796445849556489212678046675610739238876649575131472464185784987677376373434160222224014305702081904733372981186083485436248502597969822395826692663827796056181216209037488463968040286293089036773312039384274853652533014200555839711058816579745589216964190489028909572681788509733414324735394292287397526937491441531224474121402898034432762537959011123846320669684463362189336899168315142130761143545936093226732646298244175214386111080983255098672157564184356658819722857703268613353287873770178538286351269389564178418512281239999550821274868134416341130279420247216992942202926610968984317075802449811338220652612720822914337496794875223459437258934052260669695945250787126864152647607607545230085243799150265553782132122387500255639448341487192127203709622444590580499171995600170644729397952932708993296289962493745461924228491407360792824404851589895547217317694415984377263347265424220424090868904314338, 1907826199591611092234674988075869824043585449912077948199712553790608063316474215686017008866763995031754614507511570475959671555151233388076670049185588582027631362077555696590198069505600959956084983215999783229183837476268616438302626563337568375383900322835282283089902297306734980979087597028188210510311355713153926883673534795102105047346101274881872208466869161069881999242781500378676345240019575826787482345364050022927224236045411957554722165793957864354523355524338789951678211367530673592022303142949347267575536055057050563062631406246508316703358328241465089513331428492877497289003086888505368208772346012022138640859291233652550221171216215988285126621720779494795991617675313060696558810302213232170049701022903988179793096316416311372731283589613568977800159365583508625996684822307351658281484012168364015801519861991869025934564317915300524577720281200442265854225993432315879384595477556777395412888779594547295401315036778157368852281852311148768138385327042547959209359326883210076039101409624719351658636459508705257816152131290772314732668943313147006382158670043096974, 8733211852992784449262448630008656929634281320697871916101955771303539749311195694208962377890551486680491952386087065782335869101203897411282989427444222398422595264918354455675811609559019497622434019430489952813120925034703917049343340589503862897897653125217062329877202518316574333698282663202416599318414939224516265766655772257010048578850100510571576178624946851752622223833615320316238483370178698212011549943844812699299611369238972993708387393898965138277058871182643739626231380771298819719034928703520147196111723609403858827541343553574845800084500681605790492695476299098606939045637692428004823681270960956223461758220374820241595628566210632902379441769647901839068854501009486700838953891436647388933676140636842208511945935560597436924632297166752478279962414570846007126475789366404403000008896715068445332513477975081794975907440179660670672972840404613649888314417806805480462927186218781854234698522144854730958326949812037496046081849708098919629581567502052974065456496849059657155637942109382686872696044152824938550316548025335631664309816945989551122404719602514704493], 'aut_phi_ratio': 3.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 6, 1, 1], [2, 9, 1, 1], [2, 18, 1, 1], [2, 36, 1, 2], [2, 54, 1, 2], [2, 81, 1, 1], [2, 108, 1, 2], [2, 162, 1, 1], [2, 324, 1, 4], [2, 432, 1, 1], [2, 486, 1, 1], [2, 648, 1, 1], [2, 729, 1, 1], [2, 972, 1, 2], [3, 4, 1, 2], [3, 12, 1, 1], [3, 24, 1, 1], [3, 36, 1, 1], [3, 48, 1, 1], [3, 96, 1, 2], [3, 192, 1, 1], [3, 288, 1, 1], [3, 576, 1, 2], [3, 2304, 1, 2], [4, 36, 1, 2], [4, 108, 1, 2], [4, 324, 1, 4], [4, 648, 1, 5], [4, 972, 1, 2], [4, 1296, 1, 1], [4, 3888, 1, 1], [4, 7776, 1, 2], [4, 11664, 1, 1], [6, 12, 1, 3], [6, 24, 1, 3], [6, 36, 1, 6], [6, 48, 1, 1], [6, 72, 1, 8], [6, 108, 1, 4], [6, 144, 1, 8], [6, 216, 1, 9], [6, 288, 1, 4], [6, 324, 1, 3], [6, 432, 1, 10], [6, 576, 1, 3], [6, 648, 1, 3], [6, 864, 1, 9], [6, 1152, 1, 1], [6, 1296, 1, 8], [6, 1728, 1, 5], [6, 1944, 1, 2], [6, 2592, 1, 5], [6, 3456, 1, 3], [6, 3888, 1, 1], [6, 5184, 1, 3], [6, 6912, 1, 1], [6, 10368, 1, 1], [6, 20736, 1, 1], [8, 7776, 1, 2], [12, 72, 1, 4], [12, 144, 1, 2], [12, 216, 1, 8], [12, 432, 1, 8], [12, 648, 1, 2], [12, 864, 1, 4], [12, 1296, 1, 14], [12, 1728, 1, 4], [12, 1944, 1, 2], [12, 2592, 1, 9], [12, 3456, 1, 2], [12, 5184, 1, 3], [12, 15552, 1, 2], [12, 31104, 1, 1], [24, 15552, 1, 2]], 'aut_supersolvable': False, 'aut_tex': 'C_6^4.D_6\\wr C_2', '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': 24, 'autcentquo_group': '373248.cq', 'autcentquo_hash': 3227870960273308787, 'autcentquo_nilpotent': False, 'autcentquo_order': 373248, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_6^4.D_6\\wr C_2', 'cc_stats': [[1, 1, 1], [2, 6, 1], [2, 9, 1], [2, 18, 1], [2, 36, 2], [2, 54, 2], [2, 81, 1], [2, 108, 2], [2, 162, 1], [2, 324, 4], [2, 432, 1], [2, 486, 1], [2, 648, 1], [2, 729, 1], [2, 972, 2], [3, 4, 2], [3, 12, 1], [3, 24, 1], [3, 36, 1], [3, 48, 1], [3, 96, 2], [3, 192, 1], [3, 288, 1], [3, 576, 2], [3, 2304, 2], [4, 36, 2], [4, 108, 2], [4, 324, 4], [4, 648, 5], [4, 972, 2], [4, 1296, 1], [4, 3888, 1], [4, 7776, 2], [4, 11664, 1], [6, 12, 3], [6, 24, 3], [6, 36, 6], [6, 48, 1], [6, 72, 8], [6, 108, 4], [6, 144, 8], [6, 216, 9], [6, 288, 4], [6, 324, 3], [6, 432, 10], [6, 576, 3], [6, 648, 3], [6, 864, 9], [6, 1152, 1], [6, 1296, 8], [6, 1728, 5], [6, 1944, 2], [6, 2592, 5], [6, 3456, 3], [6, 3888, 1], [6, 5184, 3], [6, 6912, 1], [6, 10368, 1], [6, 20736, 1], [8, 7776, 2], [12, 72, 4], [12, 144, 2], [12, 216, 8], [12, 432, 8], [12, 648, 2], [12, 864, 4], [12, 1296, 14], [12, 1728, 4], [12, 1944, 2], [12, 2592, 9], [12, 3456, 2], [12, 5184, 3], [12, 15552, 2], [12, 31104, 1], [24, 15552, 2]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '373248.cq', 'commutator_count': 1, 'commutator_label': None, 'complements_known': False, 'complete': True, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 15, 'conjugacy_classes_known': True, 'counter': 69, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 6, 1, 1], [2, 9, 1, 1], [2, 18, 1, 1], [2, 36, 1, 2], [2, 54, 1, 2], [2, 81, 1, 1], [2, 108, 1, 2], [2, 162, 1, 1], [2, 324, 1, 4], [2, 432, 1, 1], [2, 486, 1, 1], [2, 648, 1, 1], [2, 729, 1, 1], [2, 972, 1, 2], [3, 4, 1, 2], [3, 12, 1, 1], [3, 24, 1, 1], [3, 36, 1, 1], [3, 48, 1, 1], [3, 96, 1, 2], [3, 192, 1, 1], [3, 288, 1, 1], [3, 576, 1, 2], [3, 2304, 1, 2], [4, 36, 1, 2], [4, 108, 1, 2], [4, 324, 1, 4], [4, 648, 1, 5], [4, 972, 1, 2], [4, 1296, 1, 1], [4, 3888, 1, 1], [4, 7776, 1, 2], [4, 11664, 1, 1], [6, 12, 1, 3], [6, 24, 1, 3], [6, 36, 1, 6], [6, 48, 1, 1], [6, 72, 1, 8], [6, 108, 1, 4], [6, 144, 1, 8], [6, 216, 1, 9], [6, 288, 1, 4], [6, 324, 1, 3], [6, 432, 1, 10], [6, 576, 1, 3], [6, 648, 1, 3], [6, 864, 1, 9], [6, 1152, 1, 1], [6, 1296, 1, 8], [6, 1728, 1, 5], [6, 1944, 1, 2], [6, 2592, 1, 5], [6, 3456, 1, 3], [6, 3888, 1, 1], [6, 5184, 1, 3], [6, 6912, 1, 1], [6, 10368, 1, 1], [6, 20736, 1, 1], [8, 7776, 1, 2], [12, 72, 1, 4], [12, 144, 1, 2], [12, 216, 1, 8], [12, 432, 1, 8], [12, 648, 1, 2], [12, 864, 1, 4], [12, 1296, 1, 14], [12, 1728, 1, 4], [12, 1944, 1, 2], [12, 2592, 1, 9], [12, 3456, 1, 2], [12, 5184, 1, 3], [12, 15552, 1, 2], [12, 31104, 1, 1], [24, 15552, 1, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 24, 'exponents_of_order': [9, 6], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 1, 8], [24, 1, 12], [36, 1, 20], [48, 1, 6], [72, 1, 17], [96, 1, 1], [144, 1, 8]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '41472.ca', 'hash': 3227870960273308787, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [12, 6, 24], 'inner_gens': [[17483028733686813767730302, 82527632960634630998228607, 34525278992376576900127153], [162796964815661081106315179, 49792475885565611628472724, 249790694373516288476312898], [232782349644675528161986218, 253996182616819381908039811, 33641553823689681447788973]], 'inner_hash': 3227870960273308787, 'inner_nilpotent': False, 'inner_order': 373248, 'inner_split': True, 'inner_tex': 'C_6^4.D_6\\wr C_2', 'inner_used': [1, 2, 3], 'irrC_degree': 12, 'irrQ_degree': 12, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 8], [2, 6], [4, 24], [6, 16], [8, 10], [9, 8], [12, 40], [16, 6], [18, 6], [24, 32], [36, 36], [48, 10], [72, 19], [96, 1], [144, 8]], 'label': '373248.cq', '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': None, 'name': 'C6^4.D6wrC2', 'ngens': 3, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 230, 'number_characteristic_subgroups': 39, 'number_conjugacy_classes': 230, 'number_divisions': 230, 'number_normal_subgroups': 39, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 373248, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 6207], [3, 6560], [4, 39168], [6, 127200], [8, 15552], [12, 147456], [24, 31104]], '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': 8, 'perfect': False, 'permutation_degree': 26, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': True, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 6], [4, 24], [6, 16], [8, 10], [9, 8], [12, 40], [16, 6], [18, 6], [24, 32], [36, 36], [48, 10], [72, 19], [96, 1], [144, 8]], 'representations': {'PC': {'code': '55509349246153691413914513991152538083803348320798005547537511025167750493555263490793573745955307270199606124572639490348239077440558600677597942774460629367991681002617472267673415629986252523269296782584933128609461453443215759706978796805097232174158937746845946770956616443609682243189141743122563443071339368722319137538361959879967002003827112335382866382897402062977827249453990128956793982403348765442102755216101705045', 'gens': [1, 2, 4, 6, 8, 10, 12, 14], 'pres': [15, 2, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 3807840, 7329781, 76, 10676342, 583232, 10665123, 839778, 3992313, 168, 17958004, 6613819, 3224434, 23686565, 16730660, 8351675, 1419710, 1696475, 260, 16894086, 18563181, 6967836, 4299171, 40386, 16346887, 9624982, 1287397, 419092, 2023987, 571762, 285577, 352, 36547208, 17340503, 738758, 767933, 1404608, 61643, 30068, 40003209, 24732024, 10076439, 1150254, 2883669, 1017984, 506349, 444, 24710410, 22619545, 6272680, 997975, 1746430, 950485, 469360, 35458571, 3382616, 184751, 913766, 437501, 536, 7076217, 168567, 36106573, 14696668, 3311323, 1364668, 546313, 628, 60652814, 30326429, 1166489]}, 'Perm': {'d': 26, 'gens': [17483028733686813767730302, 49792475885565611628472724, 33641553823689681447788973]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 36, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_6^4.D_6\\wr C_2', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': None}
• 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: 160709307
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 69, 'group_order': 373248, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 160709418
    {'aut_label': '2A', 'centralizer': '6.B', 'counter': 2, 'group_counter': 69, 'group_order': 373248, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 15965, 'size': 6}
  • id: 160709460
    {'aut_label': '2B', 'centralizer': '9.B', 'counter': 3, 'group_counter': 69, 'group_order': 373248, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 16696, 'size': 9}
  • id: 160709471
    {'aut_label': '2C', 'centralizer': '18.L', 'counter': 4, 'group_counter': 69, 'group_order': 373248, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 7472923983023284017348480, 'size': 18}
  • id: 160709482
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  • id: 160709493
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  • id: 160709504
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  • id: 160709515
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  • id: 160709526
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  • id: 160709308
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  • id: 160709319
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  • id: 160709330
    {'aut_label': '2K', 'centralizer': None, 'counter': 12, 'group_counter': 69, 'group_order': 373248, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 7472923983023284017365176, 'size': 162}
  • id: 160709341
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  • id: 160709352
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  • id: 160709363
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  • id: 160709374
    {'aut_label': '2O', 'centralizer': None, 'counter': 16, 'group_counter': 69, 'group_order': 373248, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 163878867005057838033888389, 'size': 324}
  • id: 160709385
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  • id: 160709396
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  • id: 160709407
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  • id: 160709419
    {'aut_label': '2S', 'centralizer': '729.a1', 'counter': 20, 'group_counter': 69, 'group_order': 373248, 'label': '2S', 'order': 2, 'powers': [1, 20], 'representative': 7559470470524900891432268, 'size': 729}
  • id: 160709430
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  • id: 160709441
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  • id: 160709452
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  • id: 160709454
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  • id: 160709455
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  • id: 160709456
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  • id: 160709457
    {'aut_label': '3E', 'centralizer': '36.HK', 'counter': 27, 'group_counter': 69, 'group_order': 373248, 'label': '3E', 'order': 3, 'powers': [27, 1], 'representative': 201865271692455970928985600, 'size': 36}
  • id: 160709458
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  • id: 160709459
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  • id: 160709461
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  • id: 160709462
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  • id: 160709463
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  • id: 160709464
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  • id: 160709465
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  • id: 160709466
    {'aut_label': '3M', 'centralizer': None, 'counter': 35, 'group_counter': 69, 'group_order': 373248, 'label': '3M', 'order': 3, 'powers': [35, 1], 'representative': 235523585496329420678804990, 'size': 2304}
  • id: 160709467
    {'aut_label': '3N', 'centralizer': None, 'counter': 36, 'group_counter': 69, 'group_order': 373248, 'label': '3N', 'order': 3, 'powers': [36, 1], 'representative': 163962691758486802296865310, 'size': 2304}
  • id: 160709468
    {'aut_label': '4A', 'centralizer': '36.DP', 'counter': 37, 'group_counter': 69, 'group_order': 373248, 'label': '4A', 'order': 4, 'powers': [2, 37], 'representative': 23126173001900676127, 'size': 36}
  • id: 160709469
    {'aut_label': '4B', 'centralizer': '36.DO', 'counter': 38, 'group_counter': 69, 'group_order': 373248, 'label': '4B', 'order': 4, 'powers': [2, 38], 'representative': 666765314598952358678, 'size': 36}
  • id: 160709470
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  • id: 160709472
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  • id: 160709473
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  • id: 160709474
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  • id: 160709475
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  • id: 160709476
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  • id: 160709477
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  • id: 160709478
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  • id: 160709479
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  • id: 160709480
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  • id: 160709481
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  • id: 160709483
    {'aut_label': '4N', 'centralizer': None, 'counter': 50, 'group_counter': 69, 'group_order': 373248, 'label': '4N', 'order': 4, 'powers': [2, 50], 'representative': 202319216724317519929514849, 'size': 972}
  • id: 160709484
    {'aut_label': '4O', 'centralizer': None, 'counter': 51, 'group_counter': 69, 'group_order': 373248, 'label': '4O', 'order': 4, 'powers': [2, 51], 'representative': 128494805859027472423536582, 'size': 972}
  • id: 160709485
    {'aut_label': '4P', 'centralizer': None, 'counter': 52, 'group_counter': 69, 'group_order': 373248, 'label': '4P', 'order': 4, 'powers': [3, 52], 'representative': 140875018836172814858549087, 'size': 1296}
  • id: 160709486
    {'aut_label': '4Q', 'centralizer': None, 'counter': 53, 'group_counter': 69, 'group_order': 373248, 'label': '4Q', 'order': 4, 'powers': [9, 53], 'representative': 36386626719759769908426149, 'size': 3888}
  • id: 160709487
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  • id: 160709488
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  • id: 160709489
    {'aut_label': '4T', 'centralizer': None, 'counter': 56, 'group_counter': 69, 'group_order': 373248, 'label': '4T', 'order': 4, 'powers': [20, 56], 'representative': 146142631123038693056761834, 'size': 11664}
  • id: 160709490
    {'aut_label': '6A', 'centralizer': '12.Y', 'counter': 57, 'group_counter': 69, 'group_order': 373248, 'label': '6A', 'order': 6, 'powers': [23, 2], 'representative': 258589282126270880358949, 'size': 12}
  • id: 160709491
    {'aut_label': '6B', 'centralizer': '12.U', 'counter': 58, 'group_counter': 69, 'group_order': 373248, 'label': '6B', 'order': 6, 'powers': [23, 2], 'representative': 258589282126270880336816, 'size': 12}
  • id: 160709492
    {'aut_label': '6C', 'centralizer': '12.BD', 'counter': 59, 'group_counter': 69, 'group_order': 373248, 'label': '6C', 'order': 6, 'powers': [25, 2], 'representative': 110272520333514741376549, 'size': 12}
  • id: 160709494
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  • id: 160709495
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  • id: 160709496
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  • id: 160709497
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  • id: 160709498
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  • id: 160709499
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  • id: 160709500
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  • id: 160709501
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  • id: 160709502
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  • id: 160709503
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  • id: 160709505
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  • id: 160709506
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  • id: 160709507
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  • id: 160709508
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  • id: 160709509
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  • id: 160709510
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  • id: 160709511
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  • id: 160709512
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  • id: 160709513
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  • id: 160709514
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  • id: 160709516
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  • id: 160709517
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  • id: 160709518
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  • id: 160709519
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  • id: 160709520
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  • id: 160709521
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  • id: 160709522
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  • id: 160709523
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  • id: 160709524
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  • id: 160709525
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  • id: 160709527
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  • id: 160709528
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  • id: 160709360
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  • id: 160709361
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  • id: 160709375
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  • id: 160709377
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  • id: 160709378
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  • id: 160709379
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  • id: 160709380
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  • id: 160709381
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  • id: 160709382
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  • id: 160709390
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  • id: 160709391
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  • id: 160709392
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  • id: 160709394
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  • id: 160709395
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  • id: 160709397
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  • id: 160709398
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  • id: 160709399
    {'aut_label': '12S', 'centralizer': None, 'counter': 182, 'group_counter': 69, 'group_order': 373248, 'label': '12S', 'order': 12, 'powers': [75, 40], 'representative': 17465096427906377996118455, 'size': 432}
  • id: 160709400
    {'aut_label': '12T', 'centralizer': None, 'counter': 183, 'group_counter': 69, 'group_order': 373248, 'label': '12T', 'order': 12, 'powers': [62, 39], 'representative': 19296414664897648268407216, 'size': 432}
  • id: 160709401
    {'aut_label': '12U', 'centralizer': None, 'counter': 184, 'group_counter': 69, 'group_order': 373248, 'label': '12U', 'order': 12, 'powers': [76, 37], 'representative': 19352600346996009577170278, 'size': 432}
  • id: 160709402
    {'aut_label': '12V', 'centralizer': None, 'counter': 185, 'group_counter': 69, 'group_order': 373248, 'label': '12V', 'order': 12, 'powers': [76, 39], 'representative': 19352600346996009577206455, 'size': 432}
  • id: 160709403
    {'aut_label': '12W', 'centralizer': None, 'counter': 186, 'group_counter': 69, 'group_order': 373248, 'label': '12W', 'order': 12, 'powers': [57, 44], 'representative': 70874294375770258971189290, 'size': 648}
  • id: 160709404
    {'aut_label': '12X', 'centralizer': None, 'counter': 187, 'group_counter': 69, 'group_order': 373248, 'label': '12X', 'order': 12, 'powers': [59, 43], 'representative': 206128299977361049119959210, 'size': 648}
  • id: 160709405
    {'aut_label': '12Y', 'centralizer': None, 'counter': 188, 'group_counter': 69, 'group_order': 373248, 'label': '12Y', 'order': 12, 'powers': [89, 37], 'representative': 7472629957590127527762174, 'size': 864}
  • id: 160709406
    {'aut_label': '12Z', 'centralizer': None, 'counter': 189, 'group_counter': 69, 'group_order': 373248, 'label': '12Z', 'order': 12, 'powers': [76, 39], 'representative': 118769846002167864767545303, 'size': 864}
  • id: 160709408
    {'aut_label': '12AA', 'centralizer': None, 'counter': 190, 'group_counter': 69, 'group_order': 373248, 'label': '12AA', 'order': 12, 'powers': [75, 40], 'representative': 62155266011679909719748953, 'size': 864}
  • id: 160709409
    {'aut_label': '12AB', 'centralizer': None, 'counter': 191, 'group_counter': 69, 'group_order': 373248, 'label': '12AB', 'order': 12, 'powers': [89, 38], 'representative': 112983599979825719232247800, 'size': 864}
  • id: 160709410
    {'aut_label': '12AC', 'centralizer': None, 'counter': 192, 'group_counter': 69, 'group_order': 373248, 'label': '12AC', 'order': 12, 'powers': [65, 41], 'representative': 268743375773672601419250600, 'size': 1296}
  • id: 160709411
    {'aut_label': '12AD', 'centralizer': None, 'counter': 193, 'group_counter': 69, 'group_order': 373248, 'label': '12AD', 'order': 12, 'powers': [66, 42], 'representative': 201858733945565332923195225, 'size': 1296}
  • id: 160709412
    {'aut_label': '12AE', 'centralizer': None, 'counter': 194, 'group_counter': 69, 'group_order': 373248, 'label': '12AE', 'order': 12, 'powers': [64, 46], 'representative': 2179458119685616976121482, 'size': 1296}
  • id: 160709413
    {'aut_label': '12AF', 'centralizer': None, 'counter': 195, 'group_counter': 69, 'group_order': 373248, 'label': '12AF', 'order': 12, 'powers': [67, 41], 'representative': 237174792910477790394677603, 'size': 1296}
  • id: 160709414
    {'aut_label': '12AG', 'centralizer': None, 'counter': 196, 'group_counter': 69, 'group_order': 373248, 'label': '12AG', 'order': 12, 'powers': [58, 47], 'representative': 160314441248091249245954278, 'size': 1296}
  • id: 160709415
    {'aut_label': '12AH', 'centralizer': None, 'counter': 197, 'group_counter': 69, 'group_order': 373248, 'label': '12AH', 'order': 12, 'powers': [59, 47], 'representative': 128680316096954658628865171, 'size': 1296}
  • id: 160709416
    {'aut_label': '12AI', 'centralizer': None, 'counter': 198, 'group_counter': 69, 'group_order': 373248, 'label': '12AI', 'order': 12, 'powers': [57, 49], 'representative': 264574293818502596312156527, 'size': 1296}
  • id: 160709417
    {'aut_label': '12AJ', 'centralizer': None, 'counter': 199, 'group_counter': 69, 'group_order': 373248, 'label': '12AJ', 'order': 12, 'powers': [64, 48], 'representative': 164166620929693247705010659, 'size': 1296}
  • id: 160709420
    {'aut_label': '12AK', 'centralizer': None, 'counter': 200, 'group_counter': 69, 'group_order': 373248, 'label': '12AK', 'order': 12, 'powers': [68, 45], 'representative': 65886169048079580273446142, 'size': 1296}
  • id: 160709421
    {'aut_label': '12AL', 'centralizer': None, 'counter': 201, 'group_counter': 69, 'group_order': 373248, 'label': '12AL', 'order': 12, 'powers': [68, 42], 'representative': 126651293629618420553987503, 'size': 1296}
  • id: 160709422
    {'aut_label': '12AM', 'centralizer': None, 'counter': 202, 'group_counter': 69, 'group_order': 373248, 'label': '12AM', 'order': 12, 'powers': [58, 49], 'representative': 128594894596168719264980963, 'size': 1296}
  • id: 160709423
    {'aut_label': '12AN', 'centralizer': None, 'counter': 203, 'group_counter': 69, 'group_order': 373248, 'label': '12AN', 'order': 12, 'powers': [67, 45], 'representative': 210645933748370841813096594, 'size': 1296}
  • id: 160709424
    {'aut_label': '12AO', 'centralizer': None, 'counter': 204, 'group_counter': 69, 'group_order': 373248, 'label': '12AO', 'order': 12, 'powers': [57, 46], 'representative': 111140287931560455132728680, 'size': 1296}
  • id: 160709425
    {'aut_label': '12AP', 'centralizer': None, 'counter': 205, 'group_counter': 69, 'group_order': 373248, 'label': '12AP', 'order': 12, 'powers': [59, 48], 'representative': 268321790752239723326514581, 'size': 1296}
  • id: 160709426
    {'aut_label': '12AQ', 'centralizer': None, 'counter': 206, 'group_counter': 69, 'group_order': 373248, 'label': '12AQ', 'order': 12, 'powers': [100, 37], 'representative': 10190831580952451138685827, 'size': 1728}
  • id: 160709427
    {'aut_label': '12AR', 'centralizer': None, 'counter': 207, 'group_counter': 69, 'group_order': 373248, 'label': '12AR', 'order': 12, 'powers': [100, 38], 'representative': 113294334933951676392785724, 'size': 1728}
  • id: 160709428
    {'aut_label': '12AS', 'centralizer': None, 'counter': 208, 'group_counter': 69, 'group_order': 373248, 'label': '12AS', 'order': 12, 'powers': [101, 38], 'representative': 25501334498422583878807667, 'size': 1728}
  • id: 160709429
    {'aut_label': '12AT', 'centralizer': None, 'counter': 209, 'group_counter': 69, 'group_order': 373248, 'label': '12AT', 'order': 12, 'powers': [102, 37], 'representative': 8907275419437348135724529, 'size': 1728}
  • id: 160709431
    {'aut_label': '12AU', 'centralizer': None, 'counter': 210, 'group_counter': 69, 'group_order': 373248, 'label': '12AU', 'order': 12, 'powers': [59, 50], 'representative': 202539642275529832788385688, 'size': 1944}
  • id: 160709432
    {'aut_label': '12AV', 'centralizer': None, 'counter': 211, 'group_counter': 69, 'group_order': 373248, 'label': '12AV', 'order': 12, 'powers': [57, 51], 'representative': 232705925265251503095638268, 'size': 1944}
  • id: 160709433
    {'aut_label': '12AW', 'centralizer': None, 'counter': 212, 'group_counter': 69, 'group_order': 373248, 'label': '12AW', 'order': 12, 'powers': [77, 45], 'representative': 67716607029258790838205923, 'size': 2592}
  • id: 160709434
    {'aut_label': '12AX', 'centralizer': None, 'counter': 213, 'group_counter': 69, 'group_order': 373248, 'label': '12AX', 'order': 12, 'powers': [76, 46], 'representative': 268122825214971360227596334, 'size': 2592}
  • id: 160709435
    {'aut_label': '12AY', 'centralizer': None, 'counter': 214, 'group_counter': 69, 'group_order': 373248, 'label': '12AY', 'order': 12, 'powers': [75, 48], 'representative': 242765517650032686744274854, 'size': 2592}
  • id: 160709436
    {'aut_label': '12AZ', 'centralizer': None, 'counter': 215, 'group_counter': 69, 'group_order': 373248, 'label': '12AZ', 'order': 12, 'powers': [62, 49], 'representative': 162874520987375505093043201, 'size': 2592}
  • id: 160709437
    {'aut_label': '12BA', 'centralizer': None, 'counter': 216, 'group_counter': 69, 'group_order': 373248, 'label': '12BA', 'order': 12, 'powers': [89, 44], 'representative': 62850764062290314954994605, 'size': 2592}
  • id: 160709438
    {'aut_label': '12BB', 'centralizer': None, 'counter': 217, 'group_counter': 69, 'group_order': 373248, 'label': '12BB', 'order': 12, 'powers': [66, 52], 'representative': 255631771558110816747682567, 'size': 2592}
  • id: 160709439
    {'aut_label': '12BC', 'centralizer': None, 'counter': 218, 'group_counter': 69, 'group_order': 373248, 'label': '12BC', 'order': 12, 'powers': [89, 43], 'representative': 117433563106399699194606077, 'size': 2592}
  • id: 160709440
    {'aut_label': '12BD', 'centralizer': None, 'counter': 219, 'group_counter': 69, 'group_order': 373248, 'label': '12BD', 'order': 12, 'powers': [61, 47], 'representative': 66005262277634810352500278, 'size': 2592}
  • id: 160709442
    {'aut_label': '12BE', 'centralizer': None, 'counter': 220, 'group_counter': 69, 'group_order': 373248, 'label': '12BE', 'order': 12, 'powers': [65, 52], 'representative': 224642179680641748132330644, 'size': 2592}
  • id: 160709443
    {'aut_label': '12BF', 'centralizer': None, 'counter': 221, 'group_counter': 69, 'group_order': 373248, 'label': '12BF', 'order': 12, 'powers': [117, 37], 'representative': 233010514858727518549902558, 'size': 3456}
  • id: 160709444
    {'aut_label': '12BG', 'centralizer': None, 'counter': 222, 'group_counter': 69, 'group_order': 373248, 'label': '12BG', 'order': 12, 'powers': [118, 38], 'representative': 131679366743086760780158038, 'size': 3456}
  • id: 160709445
    {'aut_label': '12BH', 'centralizer': None, 'counter': 223, 'group_counter': 69, 'group_order': 373248, 'label': '12BH', 'order': 12, 'powers': [101, 43], 'representative': 206156423594642449376467158, 'size': 5184}
  • id: 160709446
    {'aut_label': '12BI', 'centralizer': None, 'counter': 224, 'group_counter': 69, 'group_order': 373248, 'label': '12BI', 'order': 12, 'powers': [102, 44], 'representative': 71104600679420016164713314, 'size': 5184}
  • id: 160709447
    {'aut_label': '12BJ', 'centralizer': None, 'counter': 225, 'group_counter': 69, 'group_order': 373248, 'label': '12BJ', 'order': 12, 'powers': [88, 52], 'representative': 82527608990232649340712356, 'size': 5184}
  • id: 160709448
    {'aut_label': '12BK', 'centralizer': None, 'counter': 226, 'group_counter': 69, 'group_order': 373248, 'label': '12BK', 'order': 12, 'powers': [133, 54], 'representative': 78804997559092419997549055, 'size': 15552}
  • id: 160709449
    {'aut_label': '12BL', 'centralizer': None, 'counter': 227, 'group_counter': 69, 'group_order': 373248, 'label': '12BL', 'order': 12, 'powers': [134, 55], 'representative': 176246755232580249446894414, 'size': 15552}
  • id: 160709450
    {'aut_label': '12BM', 'centralizer': None, 'counter': 228, 'group_counter': 69, 'group_order': 373248, 'label': '12BM', 'order': 12, 'powers': [156, 53], 'representative': 178947792038590402880918165, 'size': 31104}
  • id: 160709451
    {'aut_label': '24A', 'centralizer': None, 'counter': 229, 'group_counter': 69, 'group_order': 373248, 'label': '24A', 'order': 24, 'powers': [192, 162], 'representative': 218592512064064535158550160, 'size': 15552}
  • id: 160709453
    {'aut_label': '24B', 'centralizer': None, 'counter': 230, 'group_counter': 69, 'group_order': 373248, 'label': '24B', 'order': 24, 'powers': [193, 163], 'representative': 80995565491293211611965711, 'size': 15552}
• group 373248.cq does not appear in gps_qchar
• group 373248.cq does not appear in gps_char
• 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: 203297533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 373248, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '373248.cq.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': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '373248.cq', 'subgroup_hash': 3227870960273308787, 'subgroup_order': 373248, 'subgroup_tex': 'C_6^4.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 186624, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7923126822440737088, 'subgroup_order': 186624, 'subgroup_tex': 'C_6^2.C_6^2.D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 186624, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '186624.du', 'subgroup_hash': 4707762822067807, 'subgroup_order': 186624, 'subgroup_tex': 'C_3^4.C_2\\wr S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 186624, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '186624.dw', 'subgroup_hash': 8602059237025875657, 'subgroup_order': 186624, 'subgroup_tex': 'C_6^4.C_6^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 186624, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '186624.dt', 'subgroup_hash': 6672558604723196619, 'subgroup_order': 186624, 'subgroup_tex': 'C_3^3.S_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203298088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 186624, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '186624.dy', 'subgroup_hash': 624353344061037740, 'subgroup_order': 186624, 'subgroup_tex': 'C_3^4.S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203298199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 186624, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '186624.dx', 'subgroup_hash': 6973889711486167270, 'subgroup_order': 186624, 'subgroup_tex': 'C_3^4.S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 186624, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '186624.dv', 'subgroup_hash': 1612098396561030916, 'subgroup_order': 186624, 'subgroup_tex': 'C_3^4.S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203298228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 93312, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2479054548623121772, 'subgroup_order': 93312, 'subgroup_tex': '(C_6^2\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 93312, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4511906570173830986, 'subgroup_order': 93312, 'subgroup_tex': 'C_3^2.A_4^2.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 93312, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6329355752758514814, 'subgroup_order': 93312, 'subgroup_tex': '(C_6^2\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 93312, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.fa', 'subgroup_hash': 6860410926538396949, 'subgroup_order': 93312, 'subgroup_tex': 'C_6^4:(S_3\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203297567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 93312, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.fc', 'subgroup_hash': 9214903939489507800, 'subgroup_order': 93312, 'subgroup_tex': 'C_6^4:(C_6.D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203297578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 93312, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.fd', 'subgroup_hash': 4430979036973484719, 'subgroup_order': 93312, 'subgroup_tex': 'C_3^4:(C_2\\times A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 93312, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.fb', 'subgroup_hash': 2370247516146143294, 'subgroup_order': 93312, 'subgroup_tex': 'C_3^4:(C_2\\times A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5564234948909011753, 'subgroup_order': 93312, 'subgroup_tex': '(C_6^2\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1834889064810096125, 'subgroup_order': 93312, 'subgroup_tex': '(C_2\\times C_6^3).C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1966233175614705664, 'subgroup_order': 93312, 'subgroup_tex': '(C_2^3\\times C_6).C_3^4.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5421511253800141610, 'subgroup_order': 93312, 'subgroup_tex': '(C_6^2\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6285424963892133520, 'subgroup_order': 93312, 'subgroup_tex': 'C_6^2.C_3^3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.ew', 'subgroup_hash': 2971609795648113471, 'subgroup_order': 93312, 'subgroup_tex': 'C_6^4:C_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2764583727808969083, 'subgroup_order': 93312, 'subgroup_tex': '(C_2\\times C_6^3).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.ex', 'subgroup_hash': 3865040507625035066, 'subgroup_order': 93312, 'subgroup_tex': '((C_3\\times A_4):C_6)\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.ft', 'subgroup_hash': 3571396901398771468, 'subgroup_order': 93312, 'subgroup_tex': 'C_6^4:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.fu', 'subgroup_hash': 6020929443744148452, 'subgroup_order': 93312, 'subgroup_tex': 'C_6^4:D_6:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 203297711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.fw', 'subgroup_hash': 3259238889861233263, 'subgroup_order': 93312, 'subgroup_tex': 'C_6^4:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 46656, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '93312.fv', 'subgroup_hash': 5833939653381432184, 'subgroup_order': 93312, 'subgroup_tex': 'C_2^4.C_3^4:C_3.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.6.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5388368105570259037, 'subgroup_order': 62208, 'subgroup_tex': '(C_3\\times A_4^2).D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.6.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7158104360317227289, 'subgroup_order': 62208, 'subgroup_tex': 'C_6^2.C_3^3.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.6.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62208.eh', 'subgroup_hash': 6709081537616141367, 'subgroup_order': 62208, 'subgroup_tex': 'C_6^4.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.6.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '62208.eg', 'subgroup_hash': 8067873086317129283, 'subgroup_order': 62208, 'subgroup_tex': 'C_3^2:S_4^2:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46656, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 205306215362783704, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46656, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1439546547059460113, 'subgroup_order': 46656, 'subgroup_tex': 'C_2^4.C_3^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46656, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 107420660256914594, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^2.A_4^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46656, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8958422628055314482, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^2.C_6^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46656, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5181143806072251178, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^2.A_4^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46656, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4151094407263080955, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^2.A_4^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 46656, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2816194463704524849, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^2.A_4^2.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5106662461668171913, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^2.C_3^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4713177932586199247, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^2.C_6^2.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3819534163979261092, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^2.C_6^2.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2524233750641837716, 'subgroup_order': 46656, 'subgroup_tex': '(C_3^2\\times A_4).(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6969591571029568067, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^2.C_6^2.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3193240487924587990, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^2.C_3^3.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4574495083097142767, 'subgroup_order': 46656, 'subgroup_tex': '(C_2^3\\times C_6).C_3^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4187521343337689454, 'subgroup_order': 46656, 'subgroup_tex': '(C_6^2\\times A_4).C_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6045764127795500151, 'subgroup_order': 46656, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6708948535345153702, 'subgroup_order': 46656, 'subgroup_tex': '(C_6^2\\times A_4).C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3520699849153821933, 'subgroup_order': 46656, 'subgroup_tex': '(C_6^2\\times A_4).C_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2138829606760095166, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^2:C_3.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3244369569209669940, 'subgroup_order': 46656, 'subgroup_tex': '(C_2\\times C_6^3).C_3^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5468858171886790258, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^2.C_6^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46656.ei', 'subgroup_hash': 4567591670902058451, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^4:(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203298022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46656.em', 'subgroup_hash': 90996673616231305, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^4:(C_3:C_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 203298033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46656.ff', 'subgroup_hash': 4904042639695148711, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^4:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46656.ez', 'subgroup_hash': 2449324227455868820, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^4:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4273618149459149128, 'subgroup_order': 46656, 'subgroup_tex': '(C_2\\times C_6^3).C_3^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203298066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46656.eo', 'subgroup_hash': 4561195067745939837, 'subgroup_order': 46656, 'subgroup_tex': 'C_6^4:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 23328, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.8.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46656.ej', 'subgroup_hash': 2077721526512593056, 'subgroup_order': 46656, 'subgroup_tex': 'C_3^3.A_4^2:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203298089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.9.A', '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': '41472.ca', 'subgroup_hash': 1784186768263645386, 'subgroup_order': 41472, 'subgroup_tex': '(S_3\\times S_4)\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.9.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.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': 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': '41472.y', 'subgroup_hash': 5402024246720022992, 'subgroup_order': 41472, 'subgroup_tex': 'D_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5526030089682739617, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2363061171923714500, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6684176834581003705, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4269739898306263747, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 281753595797155182, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6684176834581003705, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2363061171923714500, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2:C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5795813408043648140, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2368395800177665000, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5244711508714249746, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3092028308897792623, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 203298210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 251227148131765770, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7781626917478978849, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9100054446725650279, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9100054446725650279, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7781626917478978849, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7230146702980959814, 'subgroup_order': 31104, 'subgroup_tex': '(C_2\\times C_6\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4449619528092532619, 'subgroup_order': 31104, 'subgroup_tex': '(C_2\\times C_6\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3315114522197441811, 'subgroup_order': 31104, 'subgroup_tex': '(C_3\\times A_4^2).C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5784197675911100829, 'subgroup_order': 31104, 'subgroup_tex': '(C_2\\times C_6\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7376112179056666015, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2:C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8709583413789782821, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2:C_3.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6853242571256196334, 'subgroup_order': 31104, 'subgroup_tex': '(C_3\\times A_4^2).C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6853242571256196334, 'subgroup_order': 31104, 'subgroup_tex': '(C_3\\times A_4^2).C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6743891603192472568, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6037542249105730637, 'subgroup_order': 31104, 'subgroup_tex': '(C_2^2\\times C_6^2).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 893952397404536291, 'subgroup_order': 31104, 'subgroup_tex': '(C_2\\times C_6^3).C_3.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2429886182928082212, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6542254920521365691, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203298230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6743891603192472568, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2:C_3.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8917898433331791884, 'subgroup_order': 31104, 'subgroup_tex': '(C_2\\times C_6\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 330596955351070189, 'subgroup_order': 31104, 'subgroup_tex': '(C_3\\times A_4^2).C_3^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8709583413789782821, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3230134772016939136, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7716952242118767808, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^3\\times A_4).A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4303399559970078293, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_6^2.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8142450367846283349, 'subgroup_order': 31104, 'subgroup_tex': '(C_2\\times C_6^3).C_3.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5328810435053467249, 'subgroup_order': 31104, 'subgroup_tex': 'C_3^4.(C_2^4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1846509323965836389, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 203297536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4397712158126160935, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6893322473011702371, 'subgroup_order': 31104, 'subgroup_tex': '(C_2^2\\times C_6^2).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.fr', 'subgroup_hash': 890619221621245288, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^4.(C_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.go', 'subgroup_hash': 7085506787513573599, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times C_6^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3920606254896519295, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5255817797998181569, 'subgroup_order': 31104, 'subgroup_tex': '(C_3\\times A_4^2).C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6428077209731442047, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3235888125137389307, 'subgroup_order': 31104, 'subgroup_tex': '(C_2\\times C_6\\times A_4).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6428077209731442047, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8230796175022985578, 'subgroup_order': 31104, 'subgroup_tex': '(C_6^2\\times A_4).C_3.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6193058230197152976, 'subgroup_order': 31104, 'subgroup_tex': '(C_2^2\\times C_6^2).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.fs', 'subgroup_hash': 8699354693712010475, 'subgroup_order': 31104, 'subgroup_tex': 'C_3^3:S_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.gv', 'subgroup_hash': 7210592259510389227, 'subgroup_order': 31104, 'subgroup_tex': 'C_3^3:S_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3170965995595304960, 'subgroup_order': 31104, 'subgroup_tex': '(C_2^2\\times C_6^2).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3920606254896519295, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.fx', 'subgroup_hash': 4394578261467941646, 'subgroup_order': 31104, 'subgroup_tex': '(C_2^2\\times C_6^2).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.ga', 'subgroup_hash': 5106902807407344637, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4^2):(C_4\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.fv', 'subgroup_hash': 1649664534640491446, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^4:(C_2\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203297555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.fy', 'subgroup_hash': 7258814460174476979, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^4:(C_4\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.gr', 'subgroup_hash': 1282507296768402342, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times C_6^2).\\GL(2,\\mathbb{Z}/4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.gl', 'subgroup_hash': 4899136075085488920, 'subgroup_order': 31104, 'subgroup_tex': 'C_6^4:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.gu', 'subgroup_hash': 3093796180830988608, 'subgroup_order': 31104, 'subgroup_tex': 'C_3^3:S_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.12.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.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': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31104.gt', 'subgroup_hash': 21808389574028364, 'subgroup_order': 31104, 'subgroup_tex': '(C_3^2\\times A_4^2):D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 23328, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2947849811928549102, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^4.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 23328, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8278741989434524983, 'subgroup_order': 23328, 'subgroup_tex': 'C_3^2.A_4^2.C_3.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 203297563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 23328, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2174489569275398903, 'subgroup_order': 23328, 'subgroup_tex': 'C_2^4.C_3^4.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4973926358272448765, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4968030248215918658, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3536139505451947500, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5642742610389959528, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7037603776088754871, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2080119765433893212, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2:C_3.\\He_3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2569177787207443764, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2460707498131848432, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1216440603683560244, 'subgroup_order': 23328, 'subgroup_tex': 'C_3^3.C_6^2.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2080119765433893212, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4968030248215918658, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2460707498131848432, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6533785389716393760, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5642742610389959528, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 459403986767820707, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_3^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2603458898187645780, 'subgroup_order': 23328, 'subgroup_tex': 'C_3^3.A_4^2.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4968407298382573105, 'subgroup_order': 23328, 'subgroup_tex': '(C_6^2\\times A_4).C_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1905275610974755597, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6345306495824606552, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^2.C_6^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4853032417461070403, 'subgroup_order': 23328, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23328.ed', 'subgroup_hash': 7009578041869910302, 'subgroup_order': 23328, 'subgroup_tex': 'C_6^4:(C_3\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 11664, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4950996537664239374, 'subgroup_order': 23328, 'subgroup_tex': '(C_2^3\\times C_6).C_3^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.16.Z', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23328.o', 'subgroup_hash': 4677685659119495630, 'subgroup_order': 23328, 'subgroup_tex': 'C_3^4:D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.A', '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': '20736.cg', 'subgroup_hash': 1422448987619902369, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^3:S_3^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.cj', 'subgroup_hash': 8493028828284811752, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^3.S_3^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': None, 'subgroup_hash': 3460827661465552855, 'subgroup_order': 20736, 'subgroup_tex': 'C_3^4.C_2^3.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.ch', 'subgroup_hash': 491749952073457341, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^3.S_3^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.ce', 'subgroup_hash': 2197039868768894412, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^3.S_3^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.cf', 'subgroup_hash': 8171411110570949330, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^3.S_3^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.ce', 'subgroup_hash': 2197039868768894412, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^3.S_3^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.cf', 'subgroup_hash': 8171411110570949330, 'subgroup_order': 20736, 'subgroup_tex': 'C_2^3.S_3^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.nn', 'subgroup_hash': 4038258042203800295, 'subgroup_order': 20736, 'subgroup_tex': 'S_3^2.S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.dm', 'subgroup_hash': 2930409722293714559, 'subgroup_order': 20736, 'subgroup_tex': 'S_3^2:\\POPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.dn', 'subgroup_hash': 2866529624635048799, 'subgroup_order': 20736, 'subgroup_tex': '(S_3^2\\times A_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': None, 'subgroup_hash': 4604672900340452053, 'subgroup_order': 20736, 'subgroup_tex': '(C_2\\times C_6\\times A_4).D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': None, 'subgroup_hash': 1431170422655401415, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^2.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': None, 'subgroup_hash': 8580916680417931990, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^2.D_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': None, 'subgroup_hash': 1431170422655401415, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^2.C_6^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': None, 'subgroup_hash': 5488280917169849974, 'subgroup_order': 20736, 'subgroup_tex': 'C_3^4.C_2^6.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.bd', 'subgroup_hash': 8138138684723749893, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^4.(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.be', 'subgroup_hash': 4016527805643947314, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^2.D_6^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.bk', 'subgroup_hash': 1570806127111395463, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^4.(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.bc', 'subgroup_hash': 6010263683123565044, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^2.D_6^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.dj', 'subgroup_hash': 1073212907540177385, 'subgroup_order': 20736, 'subgroup_tex': 'C_3^2:S_4^2:C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.dl', 'subgroup_hash': 2143051366744424682, 'subgroup_order': 20736, 'subgroup_tex': 'C_3^2:S_4^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.dk', 'subgroup_hash': 3545786550713265439, 'subgroup_order': 20736, 'subgroup_tex': 'S_4^2:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.di', 'subgroup_hash': 2570897801314509121, 'subgroup_order': 20736, 'subgroup_tex': '(C_3^2\\times S_4^2):C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.bk', 'subgroup_hash': 1570806127111395463, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^4.(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.18.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 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': '20736.bc', 'subgroup_hash': 6010263683123565044, 'subgroup_order': 20736, 'subgroup_tex': 'C_6^2.D_6^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.S_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 710959735758945001, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.S_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7847052741492129219, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^3.D_6^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 761513892083285923, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6180318703216972927, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2627912282164782393, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6^2\\times S_3).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4067157786851012996, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5512177731198822025, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7861156994816795704, 'subgroup_order': 15552, 'subgroup_tex': 'C_2\\times C_6^2.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1735230238305531761, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3052909199230046033, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.C_6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6962655549356177507, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5741172697807670177, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_{12}\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5741172697807670177, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7532085885838181559, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7215338186124678333, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4).C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2379234390967020419, 'subgroup_order': 15552, 'subgroup_tex': 'C_2\\times C_6^2.S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3053036587900901898, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8488751476295776821, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_{12}\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7532085885838181559, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.C_3^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3137120281082577484, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7215338186124678333, 'subgroup_order': 15552, 'subgroup_tex': 'C_2\\times (C_3\\times A_4).C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3052909199230046033, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6\\times D_6:S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7861156994816795704, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1735230238305531761, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6962655549356177507, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2508361184672870498, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.S_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2827389615719316219, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4722111372085928735, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7532085885838181559, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7261838927503813525, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3:(S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 203297661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5798763118372700038, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6803774892081707759, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_3\\times S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 203297663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4826351366716098280, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).(S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 203297664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8888564291583487783, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7216431387305339264, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3895442693215622000, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6474037104988157696, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7342679088729239272, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(S_3\\times D_6:S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 929080180175901016, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_3\\times S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 203297671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 929080180175901016, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.C_6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5357499549609077264, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2714493906578705377, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2714493906578705377, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).(C_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5357499549609077264, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7532085885838181559, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4312499382539848822, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4312499382539848822, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2754122792882766207, 'subgroup_order': 15552, 'subgroup_tex': 'C_2\\times C_3^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7532085885838181559, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7532085885838181559, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4106987547649239763, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.S_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6921879610225005618, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.A_4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2027211839165648993, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2236186004527046274, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6083358075644512153, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_3\\times D_6:D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203297688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8020743518353475854, 'subgroup_order': 15552, 'subgroup_tex': 'C_2\\times C_6^2.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3615549923624233748, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6677625842631704654, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6319193405408838078, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1013128893901255470, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_3\\times D_6:D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203297694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8040107476499635823, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8380784186080770710, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1720620275882516969, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6453874361187969054, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5604368607259676934, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4689436159510950361, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3560329544414753448, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1700183145292865090, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6^2\\times S_3).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7392998602810670788, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.S_3^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4203812200173411332, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7532085885838181559, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8745800174877795781, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8745800174877795781, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(S_3\\times D_6:S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8422681985032284709, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8422681985032284709, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.C_6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5249384523366917858, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5249384523366917858, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1647705811003217225, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1647705811003217225, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3560329544414753448, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1700183145292865090, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6^2\\times S_3).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7392998602810670788, 'subgroup_order': 15552, 'subgroup_tex': 'C_2\\times C_6^2.C_3^3.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4203812200173411332, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6677625842631704654, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1013128893901255470, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(D_4\\times \\He_3:C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6319193405408838078, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8380784186080770710, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8040107476499635823, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times C_6^2).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6453874361187969054, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1720620275882516969, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).C_4:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4689436159510950361, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5604368607259676934, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7532085885838181559, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4742833878601531371, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4742833878601531371, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 882083662426304629, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 882083662426304629, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6\\times S_3^2).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8977974912155869381, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8977974912155869381, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4045031461111884335, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4045031461111884335, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3:S_3:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2236186004527046274, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6083358075644512153, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.C_6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8020743518353475854, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3615549923624233748, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3:(S_3\\times D_{12})', 'supersolvable': False, 'sylow': 0}
  • id: 203297743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5220020995517478088, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).C_4:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5220020995517478088, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2737001100746654412, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2737001100746654412, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6901497715615382895, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6901497715615382895, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3:C_2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7779960500311146801, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3723944146778495910, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7779960500311146801, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times C_6^2).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3723944146778495910, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3081348431272951693, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3081348431272951693, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1044092327207250320, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3:S_3:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1044092327207250320, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3:S_3:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.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': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1575459024839415605, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6\\times S_3):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ey1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1575459024839415605, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ez1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1536474005862634435, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3:S_3:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1536474005862634435, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3:S_3:D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5174726633591973771, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6572487615506525777, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5571884230891698816, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4).(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3157465883362497549, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ff1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6273048434546714861, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4918987364218947944, 'subgroup_order': 15552, 'subgroup_tex': 'C_2^4.C_3^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 892563380635283150, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^3.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4758291792448009687, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^3.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3781062823562118699, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4).C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3781062823562118699, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7148389600921863535, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4773394955000074000, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1350688280782470875, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7971063960693035246, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8484371178352996620, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8484371178352996620, 'subgroup_order': 15552, 'subgroup_tex': 'C_3\\times (C_6^2\\times A_4).C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4758291792448009687, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^3.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7373866881517765336, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ft1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 907264308430917772, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7624001880086362233, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^2.A_4^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 907264308430917772, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7624001880086362233, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^2.A_4^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5068025475676167234, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8469095494608289629, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.fz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5748689574977911273, 'subgroup_order': 15552, 'subgroup_tex': '(C_2\\times C_6^3).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ga1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8098459689097258928, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9175602100784298781, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4813619262958575666, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3784156218009878895, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ge1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5068025475676167234, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6\\times C_6^2:C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3324158154093128887, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6\\times S_3^2).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8100186275864334458, 'subgroup_order': 15552, 'subgroup_tex': '(C_2\\times C_6^3).(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2326409052102966410, 'subgroup_order': 15552, 'subgroup_tex': 'C_2^4:\\He_3.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3215293875987257927, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^3.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9067078663238907545, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8067884829169145402, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4242964201275799717, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6\\times S_3^2).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2040124831495291564, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2590521114874307761, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.go1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9000605755129910007, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4815054920584770597, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4815054920584770597, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2047044654812496604, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times C_6\\times A_4).C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8629781710749925559, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2158039237091789932, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7153617856122860656, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8207339492556012890, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2026339217450985067, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2103648041302364122, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6268594220696277083, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.gz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2103648041302364122, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ha1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5096063241552012647, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9142752736668160709, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5111441955955584429, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^2.A_4^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5111441955955584429, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.he1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1492449413531254251, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1763342416599183034, 'subgroup_order': 15552, 'subgroup_tex': 'C_2^4.C_3^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9142752736668160709, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1112007683016577509, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2047044654812496604, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times C_6\\times A_4).C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1584204073029599474, 'subgroup_order': 15552, 'subgroup_tex': 'C_2^4.C_3^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2269096548307312800, 'subgroup_order': 15552, 'subgroup_tex': 'C_2^4.C_3^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8090997015362976973, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2040124831495291564, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4.(C_2\\times D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 633046814321862130, 'subgroup_order': 15552, 'subgroup_tex': 'C_2^4.C_3^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ho1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9000605755129910007, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_3\\times D_6:D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203297837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4076416850032776722, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2590521114874307761, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5931509579866652847, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4).(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2730820351123301915, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203297841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ht1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6362481274933616194, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_6\\times S_3^2).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 668592079811529366, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4277589730616472151, 'subgroup_order': 15552, 'subgroup_tex': 'C_3.(C_3\\times A_4^2).C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4277589730616472151, 'subgroup_order': 15552, 'subgroup_tex': 'C_3\\times (C_3\\times A_4^2).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6362481274933616194, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.(C_3\\times D_6:D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203297847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4098917343079270166, 'subgroup_order': 15552, 'subgroup_tex': 'C_3.(C_3\\times A_4^2).C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.hz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4098917343079270166, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 203297849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ia1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4242964201275799717, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ib1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 93274923265866431, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ic1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3173828342764885090, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^2.A_4^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.id1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.ea', 'subgroup_hash': 7658633754316149407, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4^2):D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ie1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9097137033303208513, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.if1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 89644364059163298, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4).D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ig1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6457253632991314769, 'subgroup_order': 15552, 'subgroup_tex': 'C_3.C_2^4:\\He_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ih1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.ds', 'subgroup_hash': 5882685989881372921, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^4.(C_2\\times C_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203297858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ii1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.ey', 'subgroup_hash': 4846126467722283850, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^4:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ij1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 89644364059163298, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_3^3.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ik1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.ey', 'subgroup_hash': 4846126467722283850, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^4:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.il1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.eb', 'subgroup_hash': 7064857565374065553, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.im1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.fg', 'subgroup_hash': 6776326040157352380, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^4:(C_3:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.in1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4185829494363373093, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^2.A_4^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.io1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4862858753552512406, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ip1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1551403161617271859, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2:C_3.D_6:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.iq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.er', 'subgroup_hash': 1076256326270798440, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^4:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ir1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.el', 'subgroup_hash': 1079981536618394854, 'subgroup_order': 15552, 'subgroup_tex': '(C_2\\times C_6^3):S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.is1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.el', 'subgroup_hash': 1079981536618394854, 'subgroup_order': 15552, 'subgroup_tex': '(C_2\\times C_6^3):S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.it1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 847325297741983142, 'subgroup_order': 15552, 'subgroup_tex': 'C_3.(C_3\\times A_4^2).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.iu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6689768459405549122, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.iv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 3412870317117990755, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^2.C_6^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.iw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 995161791586029462, 'subgroup_order': 15552, 'subgroup_tex': '(C_6^2\\times A_4).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ix1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1551403161617271859, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.iy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9214925806186366913, 'subgroup_order': 15552, 'subgroup_tex': '(C_3\\times A_4^2).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.IZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.iz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5986375215319688182, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^2.A_4^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.JA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ja1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6689768459405549122, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^3\\times A_4).C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203297880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.JB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.jb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.du', 'subgroup_hash': 6717812446175430624, 'subgroup_order': 15552, 'subgroup_tex': 'C_6^4:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.JC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.jc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.dm', 'subgroup_hash': 950499389268693354, 'subgroup_order': 15552, 'subgroup_tex': '(C_2\\times C_6^3):S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.JD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.jd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.ep', 'subgroup_hash': 3255377266310984154, 'subgroup_order': 15552, 'subgroup_tex': '(C_2\\times C_6^3):S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.JE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.je1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.dn', 'subgroup_hash': 3603379870494751575, 'subgroup_order': 15552, 'subgroup_tex': '(C_3^2\\times A_4^2):C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.JF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.jf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.et', 'subgroup_hash': 6020280757512389104, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^3:(A_4^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.24.JG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.jg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15552.ii', 'subgroup_hash': 5711051313985485527, 'subgroup_order': 15552, 'subgroup_tex': 'C_3^4:(D_4\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 11664, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'D2', 'C5'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4787431179229652069, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^2.A_4^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6895830850218839847, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^3.(C_6\\times S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1773369543672917877, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^4.A_4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2972128526982987633, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 821174552822010521, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8213532281743063342, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^3.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9005272039869599981, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7391708350982146130, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6369732378832317766, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6369732378832317766, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1675893564363502865, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 869147093774643581, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^3.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1889111085824273230, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1773369543672917877, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^3.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 9005272039869599981, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2:C_3.\\He_3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 869147093774643581, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^3.C_6^2.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1675893564363502865, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1889111085824273230, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2119837009626554352, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2514868258019165952, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1082612459612111363, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2514868258019165952, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 821174552822010521, 'subgroup_order': 11664, 'subgroup_tex': '(C_3^3\\times A_4).C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203297912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5601725813070773854, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^3.(A_4\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8734293447572295221, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2935953474673405488, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6605732104598921338, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6605732104598921338, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1449127869624250832, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 4708782615999510400, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2625136017401166951, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6120536333659072361, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2625136017401166951, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 6120536333659072361, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8776417953810837073, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 8776417953810837073, 'subgroup_order': 11664, 'subgroup_tex': 'C_6^2.C_3^3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 203297926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 117368304996279271, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^4.D_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11664.bb', 'subgroup_hash': 5493034888393394034, 'subgroup_order': 11664, 'subgroup_tex': '\\He_3^2:(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11664.bd', 'subgroup_hash': 6546448845381426119, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^4:(C_6^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11664.bb', 'subgroup_hash': 5493034888393394034, 'subgroup_order': 11664, 'subgroup_tex': '\\He_3^2:(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11664.bd', 'subgroup_hash': 6546448845381426119, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^4:(C_6^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11664.be', 'subgroup_hash': 7343738506780516409, 'subgroup_order': 11664, 'subgroup_tex': '\\He_3^2:(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.32.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11664.bc', 'subgroup_hash': 602106089747574265, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^4:(S_3^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.A', 'maximal': False, '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': '10368.ea', 'subgroup_hash': 100370156498004401, 'subgroup_order': 10368, 'subgroup_tex': 'S_3^4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.eh', 'subgroup_hash': 5540820196639783541, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ej', 'subgroup_hash': 1822899233624507581, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ee', 'subgroup_hash': 6696619915147264000, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.eb', 'subgroup_hash': 721509192776723602, 'subgroup_order': 10368, 'subgroup_tex': 'D_6^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ec', 'subgroup_hash': 2344124475424463721, 'subgroup_order': 10368, 'subgroup_tex': 'D_6^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ed', 'subgroup_hash': 9169263955284153412, 'subgroup_order': 10368, 'subgroup_tex': 'D_6^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.eb', 'subgroup_hash': 721509192776723602, 'subgroup_order': 10368, 'subgroup_tex': 'D_6^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ec', 'subgroup_hash': 2344124475424463721, 'subgroup_order': 10368, 'subgroup_tex': 'D_6^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ed', 'subgroup_hash': 9169263955284153412, 'subgroup_order': 10368, 'subgroup_tex': 'D_6^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203297945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ei', 'subgroup_hash': 4083623967121577543, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4:C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ei', 'subgroup_hash': 4083623967121577543, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4:C_2\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ef', 'subgroup_hash': 8410200354411711300, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^2:D_{12}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ef', 'subgroup_hash': 8410200354411711300, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^2:D_{12}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.eg', 'subgroup_hash': 3238393948901983099, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.eg', 'subgroup_hash': 3238393948901983099, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 4066898942949363507, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 177834670525991458, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203297953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 4066898942949363507, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203297954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 177834670525991458, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2925001548486563632, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203297957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2853070546413315999, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 203297958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 5199963536564553147, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cg', 'subgroup_hash': 1686628947198488291, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ch', 'subgroup_hash': 7225339523266850902, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cm', 'subgroup_hash': 2744113781067478142, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cn', 'subgroup_hash': 5172243232036974980, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cf', 'subgroup_hash': 561840110849433694, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2113594666755437708, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2113594666755437708, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.df', 'subgroup_hash': 1987100534963169618, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.dj', 'subgroup_hash': 3635932076409351444, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cc', 'subgroup_hash': 7250208556810088191, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cd', 'subgroup_hash': 7431390586417769185, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.de', 'subgroup_hash': 3615538135209962243, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times D_6^2):D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2113594666755437708, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203297973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.df', 'subgroup_hash': 1987100534963169618, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.dj', 'subgroup_hash': 3635932076409351444, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cc', 'subgroup_hash': 7250208556810088191, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cd', 'subgroup_hash': 7431390586417769185, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.de', 'subgroup_hash': 3615538135209962243, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times D_6^2):D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203297980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cj', 'subgroup_hash': 5247519068953756301, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ck', 'subgroup_hash': 5588701102779818075, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cl', 'subgroup_hash': 7539237121014369816, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cl', 'subgroup_hash': 7539237121014369816, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ci', 'subgroup_hash': 7873048589420838899, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.di', 'subgroup_hash': 9217159457059374049, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.dh', 'subgroup_hash': 2306039712164322987, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ce', 'subgroup_hash': 535395742307902280, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cb', 'subgroup_hash': 2952200741813563278, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.di', 'subgroup_hash': 9217159457059374049, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.dh', 'subgroup_hash': 2306039712164322987, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.ce', 'subgroup_hash': 535395742307902280, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.cb', 'subgroup_hash': 2952200741813563278, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3:C_6.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203297994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.dg', 'subgroup_hash': 1475085500882716353, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.dg', 'subgroup_hash': 1475085500882716353, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203297996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 709345757074148258, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 709345757074148258, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1223325824486597868, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203297999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6757463486066303437, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6077545258903468103, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6077545258903468103, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 596267156392411393, 'subgroup_order': 10368, 'subgroup_tex': '(C_3^2\\times A_4).C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203298004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 596267156392411393, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6757463486066303437, 'subgroup_order': 10368, 'subgroup_tex': '(C_3^3\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1223325824486597868, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 5739442289165798716, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 5739442289165798716, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 708299693199610096, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2:C_3.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 550809788031365913, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 833816268298419869, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203298013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1588970605342721149, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 4838795881828758862, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203298015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1184853984243098907, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 3615332689109730380, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 833816268298419869, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203298018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1588970605342721149, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203298019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 5984740242847792302, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2:C_3.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203298020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6572591285725105456, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 7999611432621426746, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 5984740242847792302, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 3522872513480800694, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6572591285725105456, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 708299693199610096, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1384759824641071516, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 4838795881828758862, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1184853984243098907, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 81, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 3615332689109730380, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 842612782294817613, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 842612782294817613, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 913778388533975205, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 8128525008364311955, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 8730073064612357253, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 8730073064612357253, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6474727288874293233, 'subgroup_order': 10368, 'subgroup_tex': 'C_2\\times C_6^2.D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.sc', 'subgroup_hash': 584602852934406763, 'subgroup_order': 10368, 'subgroup_tex': 'C_2^3.S_3^4', 'supersolvable': False, 'sylow': 0}
  • id: 203298040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6474727288874293233, 'subgroup_order': 10368, 'subgroup_tex': 'C_2\\times C_6^2.D_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 383141292067919685, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 7767837738391885892, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 7767837738391885892, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 6421223175933234544, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2500448672932047339, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^6.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 203298047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 7641997939862769911, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 324, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 9176928093422323451, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.jd', 'subgroup_hash': 6169053739752264678, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 5610740005994879234, 'subgroup_order': 10368, 'subgroup_tex': '(C_3^3\\times A_4).C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 4195089001871841127, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203298052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 4195089001871841127, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 3304135743999336154, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 4195089001871841127, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 8498117849980586040, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 9211243554649252280, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2919067434925375855, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 8498117849980586040, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 9211243554649252280, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2919067434925375855, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 5610740005994879234, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 162, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 4195089001871841127, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 9, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': '10368.jd', 'subgroup_hash': 6169053739752264678, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 3304135743999336154, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1339920461928168491, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4^2).D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2901533093329388689, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4^2).C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 693377395905732383, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4^2).C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 8881296450151421319, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4^2).D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2117799633362499621, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 2117799633362499621, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 8502883797021655804, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.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': 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': None, 'subgroup_hash': 1789062197396300035, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ey1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sk', 'subgroup_hash': 8942589340048527071, 'subgroup_order': 10368, 'subgroup_tex': 'C_3\\times S_3\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ez1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sk', 'subgroup_hash': 8942589340048527071, 'subgroup_order': 10368, 'subgroup_tex': 'C_3\\times S_3\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fa1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 596267156392411393, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fb1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 4608927954064401586, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fc1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sm', 'subgroup_hash': 8968521611073900426, 'subgroup_order': 10368, 'subgroup_tex': 'S_3\\times C_3:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fd1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 596267156392411393, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fe1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8283708947791456408, 'subgroup_order': 10368, 'subgroup_tex': '(C_3^2\\times A_4).C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203298083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ff1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8283708947791456408, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fg1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 1789062197396300035, 'subgroup_order': 10368, 'subgroup_tex': 'A_4.(C_6^2\\times S_3).C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fh1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sj', 'subgroup_hash': 3132474183531136913, 'subgroup_order': 10368, 'subgroup_tex': 'C_3:S_4^2\\times S_3', 'supersolvable': False, 'sylow': 0}
  • id: 203298086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fi1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sj', 'subgroup_hash': 3132474183531136913, 'subgroup_order': 10368, 'subgroup_tex': 'C_3:S_4^2\\times S_3', 'supersolvable': False, 'sylow': 0}
  • id: 203298087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fj1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8502883797021655804, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fk1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 709345757074148258, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fl1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 709345757074148258, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fm1', 'outer_equivalence': True, 'perfect': False, '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': '10368.se', 'subgroup_hash': 1651379823647325078, 'subgroup_order': 10368, 'subgroup_tex': 'A_4\\times S_4\\times S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fn1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sf', 'subgroup_hash': 4070827852717820903, 'subgroup_order': 10368, 'subgroup_tex': 'S_3^2\\times \\PSOPlus(4,3)', 'supersolvable': False, 'sylow': 0}
  • id: 203298094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fo1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fm', 'subgroup_hash': 6068583894714021913, 'subgroup_order': 10368, 'subgroup_tex': '(S_3\\times A_4)\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fp1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 3186083394196115929, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fq1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2265959103258060826, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fr1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2265959103258060826, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fs1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 1056106307651113622, 'subgroup_order': 10368, 'subgroup_tex': '(C_3^2\\times C_6^2).C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 203298099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ft1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 708299693199610096, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fu1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 708299693199610096, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fv1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 4761814450965061050, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fw1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fx1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 1056106307651113622, 'subgroup_order': 10368, 'subgroup_tex': '(C_3^2\\times C_6^2).C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 203298105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fy1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2309579086612066676, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.fz1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ga1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gb1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 5984740242847792302, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gc1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 3414950567620219176, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gd1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2309579086612066676, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2:C_3.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 203298112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ge1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2455280900521089088, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gf1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gg1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 5984740242847792302, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gh1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 3186083394196115929, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gi1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gj1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gk1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 5020712129493562336, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gl1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 708299693199610096, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gm1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 708299693199610096, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gn1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 4761814450965061050, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.go1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 1244387430503808526, 'subgroup_order': 10368, 'subgroup_tex': '(C_6^2\\times A_4).C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gp1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 116393346389531263, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2:C_3.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gq1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2189721245483306633, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4^2).D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gr1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 4596774371687197191, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GS', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gs1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 4596774371687197191, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GT', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gt1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 3928231940393096507, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^3.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gu1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 1806103705216739882, 'subgroup_order': 10368, 'subgroup_tex': '(C_3^3\\times A_4).C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 203298130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gv1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 6474727288874293233, 'subgroup_order': 10368, 'subgroup_tex': 'C_2^2\\times (C_2\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gw1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 6474727288874293233, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gx1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 842612782294817613, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gy1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 4477431850579131415, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.GZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.gz1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 5640089518141372098, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ha1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 842612782294817613, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hb1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8248773151308292261, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 203298138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hc1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 6795259579232778772, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hd1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 313856118994892711, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.he1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 4443187813699880825, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hf1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 5894851441993551899, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hg1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 422015771090713032, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hh1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hi1', 'outer_equivalence': True, 'perfect': False, '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': '10368.jd', 'subgroup_hash': 6169053739752264678, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HJ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hj1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 422015771090713032, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^4.C_2^5.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hk1', 'outer_equivalence': True, 'perfect': False, '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': '10368.bq', 'subgroup_hash': 6718113623542873272, 'subgroup_order': 10368, 'subgroup_tex': 'C_6\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203298148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hl1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 486767403417290568, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hm1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hn1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ho1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sg', 'subgroup_hash': 4261297667790499446, 'subgroup_order': 10368, 'subgroup_tex': 'S_4\\times A_4:S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hp1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8498117849980586040, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hq1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8498117849980586040, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hr1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8456788626024194418, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hs1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 486767403417290568, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ht1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hu1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8498117849980586040, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hv1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8456788626024194418, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hw1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 8498117849980586040, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hx1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sh', 'subgroup_hash': 8037427789544077759, 'subgroup_order': 10368, 'subgroup_tex': 'C_3:(S_3\\times S_4^2)', 'supersolvable': False, 'sylow': 0}
  • id: 203298162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5184, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hy1', 'outer_equivalence': True, 'perfect': False, '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': '10368.ff', 'subgroup_hash': 6751897524912302440, 'subgroup_order': 10368, 'subgroup_tex': 'A_4^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203298163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.HZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.hz1', 'outer_equivalence': True, 'perfect': False, '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': '10368.sd', 'subgroup_hash': 3583302777480402492, 'subgroup_order': 10368, 'subgroup_tex': 'C_3:S_3\\times S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ia1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 5894851441993551899, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ib1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 422015771090713032, 'subgroup_order': 10368, 'subgroup_tex': 'C_3.C_6^3.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 203298167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ic1', 'outer_equivalence': True, 'perfect': False, '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': '10368.bq', 'subgroup_hash': 6718113623542873272, 'subgroup_order': 10368, 'subgroup_tex': 'C_6\\wr D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203298168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.ID', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.id1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fe', 'subgroup_hash': 7143366224581305357, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times S_4)\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ie1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fe', 'subgroup_hash': 7143366224581305357, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times S_4)\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.if1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 4443187813699880825, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4).D_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ig1', 'outer_equivalence': True, 'perfect': False, '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': None, 'subgroup_hash': 2752068665732236051, 'subgroup_order': 10368, 'subgroup_tex': '(C_2^3\\times C_6).S_3^3', 'supersolvable': False, 'sylow': 0}
  • id: 203298172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ih1', 'outer_equivalence': True, 'perfect': False, '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': '10368.jd', 'subgroup_hash': 6169053739752264678, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.II', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ii1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fj', 'subgroup_hash': 5002487537532140962, 'subgroup_order': 10368, 'subgroup_tex': 'A_4^2:(S_3\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 203298174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ij1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fh', 'subgroup_hash': 475254085477450667, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2:C_2^3.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ik1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fk', 'subgroup_hash': 7664787392899536759, 'subgroup_order': 10368, 'subgroup_tex': '(C_3^2\\times A_4^2):(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.il1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fl', 'subgroup_hash': 3913377951643872581, 'subgroup_order': 10368, 'subgroup_tex': '\\PSOPlus(4,3).S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.im1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fi', 'subgroup_hash': 848643900174278067, 'subgroup_order': 10368, 'subgroup_tex': 'A_4^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203298179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.in1', 'outer_equivalence': True, 'perfect': False, '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': '10368.je', 'subgroup_hash': 6228584704245755470, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^2.(D_6\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IO', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.io1', 'outer_equivalence': True, 'perfect': False, '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': '10368.br', 'subgroup_hash': 3197694500365404161, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 203298181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ip1', 'outer_equivalence': True, 'perfect': False, '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': '10368.bu', 'subgroup_hash': 4916992493308298089, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^4.(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iq1', 'outer_equivalence': True, 'perfect': False, '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': '10368.bt', 'subgroup_hash': 2625736083209779570, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^4.(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ir1', 'outer_equivalence': True, 'perfect': False, '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': '10368.bt', 'subgroup_hash': 2625736083209779570, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^4.(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 203298184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.is1', 'outer_equivalence': True, 'perfect': False, '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': '10368.bv', 'subgroup_hash': 5827693912263836384, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203298185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.it1', 'outer_equivalence': True, 'perfect': False, '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': '10368.bs', 'subgroup_hash': 8919381046003323810, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203298186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iu1', 'outer_equivalence': True, 'perfect': False, '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': '10368.fg', 'subgroup_hash': 5846484219343363463, 'subgroup_order': 10368, 'subgroup_tex': '(C_3\\times A_4^2):D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 203298187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 144, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iv1', 'outer_equivalence': True, 'perfect': False, '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': '10368.kc', 'subgroup_hash': 4543214839897668325, 'subgroup_order': 10368, 'subgroup_tex': 'C_3^2.S_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 203298189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2592, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.iw1', 'outer_equivalence': True, 'perfect': False, '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': '10368.ff', 'subgroup_hash': 6751897524912302440, 'subgroup_order': 10368, 'subgroup_tex': 'A_4^2:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 203298190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1296, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.36.IX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.ix1', 'outer_equivalence': True, 'perfect': False, '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': '10368.bs', 'subgroup_hash': 8919381046003323810, 'subgroup_order': 10368, 'subgroup_tex': 'C_6^4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 203298191
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 5184, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.72.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\SOPlus(4,2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 96925961481210776, 'subgroup_order': 5184, 'subgroup_tex': 'C_3^4.C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 203298192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 5184, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.72.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.40', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 40, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '\\SOPlus(4,2)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5184.sa', 'subgroup_hash': 6495678971745012095, 'subgroup_order': 5184, 'subgroup_tex': 'C_3^2:S_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 2592, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.144.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.186', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 186, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 2737209962032990235, 'subgroup_order': 2592, 'subgroup_tex': 'C_3^4.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 203298194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 2592, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.144.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '144.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.186', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 186, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_3^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2592.pd', 'subgroup_hash': 1003551817112337500, 'subgroup_order': 2592, 'subgroup_tex': '(A_4\\times C_6^2):S_3', 'supersolvable': False, 'sylow': 0}
  • id: 203298195
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 1296, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.288.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '288.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.889', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 889, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_6\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C6'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1296.3609', 'subgroup_hash': 3609, 'subgroup_order': 1296, 'subgroup_tex': 'C_6^4', 'supersolvable': True, 'sylow': 0}
  • id: 203298196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': True, 'core_order': 1296, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.288.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.b1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.889', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 889, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_6\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1296.3557', 'subgroup_hash': 3557, 'subgroup_order': 1296, 'subgroup_tex': 'C_3^2\\times A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 203298197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 9, 'characteristic': False, 'core_order': 81, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '373248.cq.512.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '512.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': 512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '729.453', 'subgroup_hash': 453, 'subgroup_order': 729, 'subgroup_tex': '\\He_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 203298198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 16, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '373248.cq.729.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '729.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': 729, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '512.418967', 'subgroup_hash': 4972023617141994759, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:D_4', 'supersolvable': True, 'sylow': 2}
  • id: 203298201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 324, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.1152.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1152.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '1152.157849', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5496387407741636925, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '324.169', 'subgroup_hash': 169, 'subgroup_order': 324, 'subgroup_tex': 'C_3^2:S_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 162, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2304.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2304.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2304.ea', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5029089711575135698, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2304, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2:C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '162.54', 'subgroup_hash': 54, 'subgroup_order': 162, 'subgroup_tex': 'C_3^3:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 203298203
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 144, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.2592.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2592.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6952908971992144288, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 2592, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^2.D_6\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': ['S', 'D3', 'C7'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.197', 'subgroup_hash': 197, 'subgroup_order': 144, 'subgroup_tex': 'C_2^2\\times C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 203298204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 81, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.4608.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4608.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4608.bs', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3000911920882418164, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 4608, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4^2:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '81.15', 'subgroup_hash': 15, 'subgroup_order': 81, 'subgroup_tex': 'C_3^4', 'supersolvable': True, 'sylow': 0}
  • id: 203298205
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 5184, 'characteristic': True, 'core_order': 16, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.23328.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '23328.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '23328.o', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4677685659119495630, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 23328, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^4:D_6\\wr C_2', '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: 203298206
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': False, 'central_factor': False, 'centralizer_order': 46656, 'characteristic': True, 'core_order': 9, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '373248.cq.41472.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '41472.a1.N', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '41472.ca', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1784186768263645386, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 41472, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(S_3\\times S_4)\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'C8'], '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: 203298207
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '373248.cq', 'ambient_counter': 69, 'ambient_order': 373248, 'ambient_tex': 'C_6^4.D_6\\wr C_2', 'central': True, 'central_factor': False, 'centralizer_order': 373248, 'characteristic': True, 'core_order': 1, 'counter': 706, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '373248.cq.373248.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '373248.a1.N', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '373248.cq', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3227870960273308787, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 373248, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6^4.D_6\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'PC', 'U0', 'D4', 'C9'], '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: 203298206
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '41472.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.C', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 628, -1, 9846], 'generators': [117319218568009135195351680, 258589282126270880332800], 'label': '373248.cq.41472.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '41472.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '41472.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '41472.A', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 203298207
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '373248.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 598, -1, 9960], 'generators': [], 'label': '373248.cq.373248.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '373248.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '373248.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '373248.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 203297533
    {'ambient': '373248.cq', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [29, 1339, 8, 177], 'generators': [666765314598952356744, 1897582098352623447300986, 49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '373248.cq', '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': '373248.cq'}
  • id: 203297534
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.B', 'coset_action_label': None, 'count': 1, 'diagramx': [795, 9402, 396, 4610], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.B', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297535
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [27, -1, 924, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 10796165968107052068744, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.bm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297536
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1920, -1, 1601, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297537
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2232, -1, 1713, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 1897590856862446417285037, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.bo1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BO', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297538
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [275, -1, 1012, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 1897590856862446417285037, 4370602533330072243012836, 4016, 734, 10180498751286404889600, 258589282126270880369007], 'label': '373248.cq.12.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.bp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BP', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297539
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [1954, -1, 1613, -1], 'generators': [36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 1897576745717044761829056, 51679931000452400261118872, 4016, 734, 4537000264085490415737904, 258589282126270880369007, 10180498751286404889600], 'label': '373248.cq.12.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '12.bq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BQ', 'subgroup_fusion': None, 'weyl_group': '186624.du'}
  • id: 203297540
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1793, -1, 1556, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4016, 10353350964776198454, 734, 193433976776908977580903, 7483045598139117075108583, 258589282126270880369007], 'label': '373248.cq.12.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.br1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297541
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [75, -1, 941, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297542
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1146, -1, 1324, -1], 'generators': [666765314598952356744, 4580772780878683543486358, 1897582098352623447300986, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 4016, 10353350964776198454, 734, 258589282126270880369007], 'label': '373248.cq.12.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bt1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297543
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1190, -1, 1340, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297544
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1105, -1, 1310, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297545
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.C', 'coset_action_label': None, 'count': 1, 'diagramx': [506, 8084, 292, 4289], 'generators': [1897582098352623447300986, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.C', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297546
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1611, -1, 1491, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297547
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [793, -1, 1198, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.bx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BX', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297548
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2363, -1, 1760, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 67747536142703394715946983, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.by1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BY', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297549
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [1520, -1, 1458, -1], 'generators': [84563389887161517883326872, 666765314598952356744, 36046504782378446243165, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 258589282126270880369007], 'label': '373248.cq.12.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '12.bz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BZ', 'subgroup_fusion': None, 'weyl_group': '186624.dt'}
  • id: 203297550
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2409, -1, 1776, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.ca1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297551
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1745, -1, 1539, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.cb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297552
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [384, -1, 1051, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 67747536142703394715946983, 4016, 10800058359897420324819, 70943819551533194036964986, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.cc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CC', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297553
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2183, -1, 1696, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 4016, 10800058359897420324819, 70943819551533194036964986, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792731313248154897759358, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.cd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CD', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297554
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [829, -1, 1211, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 1897590856862446417285037, 4370602533330072243012836, 10786190776954385950368, 4016, 734, 258589282126270880369007], 'label': '373248.cq.12.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.ce1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CE', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297555
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [982, -1, 1266, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 49792743228358540192983062, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 1897590856862446417285037, 236147328990490050604800, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.cf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CF', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297556
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.D', 'coset_action_label': None, 'count': 1, 'diagramx': [148, 2834, 164, 3012], 'generators': [1897582098352623447300986, 49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.D', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297557
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [944, -1, 1252, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 1897590856862446417285037, 4370602533330072243012836, 677111509882365022368, 4016, 734, 258589282126270880369007], 'label': '373248.cq.12.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.cg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CG', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297558
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [348, -1, 1039, -1], 'generators': [36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 1897576745717044761829056, 51679931000452400261118872, 677111509882365022368, 4016, 734, 4537000264085490415737904, 258589282126270880369007], 'label': '373248.cq.12.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '12.ch1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CH', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297559
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1652, -1, 1506, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 255951025353135757986573286, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.12.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.ci1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CI', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297560
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1025, -1, 1281, -1], 'generators': [84563389887161517883326872, 36046504782378446243165, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 1897326631883238412953614, 4016, 734, 258589282126270880369007], 'label': '373248.cq.12.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '12.cj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.CJ', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297561
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 1, 'diagramx': [452, 957, 2050, 6779], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.16.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.A', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297562
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 1, 'diagramx': [963, 3162, 2234, 7315], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.16.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.B', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297563
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 1, 'diagramx': [926, 1984, 2220, 7029], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.16.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.C', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297564
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [281, -1, 1989, -1], 'generators': [36046504782378446243165, 10353350964776198454, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.16.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297565
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [93, -1, 1922, -1], 'generators': [36046504782378446243165, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.16.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297566
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [128, -1, 1935, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.16.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297567
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.E', 'coset_action_label': None, 'count': 1, 'diagramx': [375, 6886, 245, 3998], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 49792743228358540192983062, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.4.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.E', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297568
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [421, -1, 2039, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.16.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297569
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [518, -1, 2074, -1], 'generators': [666765314598952356744, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903], 'label': '373248.cq.16.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.h1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297570
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [553, -1, 2087, -1], 'generators': [36046504782378446243165, 10353350964776198454, 666765314598952356744, 10800058359897420324819, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.16.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.i1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297571
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [776, -1, 2166, -1], 'generators': [27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 1897326631883238412953614, 4016, 10353350964776198454, 734, 193433976776908977580903], 'label': '373248.cq.16.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.j1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297572
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [316, -1, 2002, -1], 'generators': [36046504782378446243165, 10353350964776198454, 10800058359897420324819, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836], 'label': '373248.cq.16.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.k1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297573
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [636, -1, 2116, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.16.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.l1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297574
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [591, -1, 2100, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.16.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.m1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297575
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [58, -1, 1909, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 4370602533330072243012836, 734], 'label': '373248.cq.16.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.n1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297576
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [351, -1, 2014, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.16.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.o1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297577
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [163, -1, 1947, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.16.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.p1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297578
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.F', 'coset_action_label': None, 'count': 1, 'diagramx': [337, 5665, 232, 3701], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792731313248154897759358, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.4.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.F', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297579
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [386, -1, 2027, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.16.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.q1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297580
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [483, -1, 2062, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.16.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '16.r1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297581
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [809, -1, 2178, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 10189128859168368211259], 'label': '373248.cq.16.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.s1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297582
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [884, -1, 2205, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.16.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.t1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297583
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [242, -1, 1975, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.16.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.u1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.U', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203297584
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [22, -1, 1897, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.16.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.v1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297585
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [843, -1, 2190, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.16.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.w1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297586
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 4, 'diagramx': [685, -1, 2134, -1], 'generators': [49792475885565611628472724, 242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.16.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.D', 'old_label': '16.x1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297587
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [734, -1, 2151, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.16.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '16.y1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297588
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '16.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': [200, -1, 1960, -1], 'generators': [39270962933801896908011305, 10353350964776198454, 666765314598952356744, 10800058359897420350814, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 4405438648625129762549934, 314842720713887816368014, 1897582098352623447301464, 36036401396332819523214], 'label': '373248.cq.16.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '16.z1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297589
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.G', 'coset_action_label': None, 'count': 1, 'diagramx': [99, 1267, 147, 2631], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792485380242663889482028, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.4.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.G', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297590
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [266, -1, 2334, -1], 'generators': [666765314598952356744, 258589282126270880332800, 117319218568009135195351680, 190201783952415476070933143, 7483053140030815731014400, 236147328990490050604800, 10786190776954385950368, 36046504782378446243896, 4016, 10353350964776198454, 242995498694891355547427896, 258589282126270880369007], 'label': '373248.cq.18.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297591
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [551, -1, 2436, -1], 'generators': [666765314598952356744, 258589282126270880332800, 117319218568009135195351680, 7483053140030815731014400, 236147328990490050604800, 10786190776954385950368, 36046504782378446243896, 4016, 10353350964776198454, 242995498694891355547427896, 258589282126270880369007, 54943621251477076384383280], 'label': '373248.cq.18.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297592
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [630, -1, 2464, -1], 'generators': [242995498694891355547427896, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.18.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297593
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [510, -1, 2421, -1], 'generators': [242995498694891355547427896, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 54943621251477076384383280], 'label': '373248.cq.18.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297594
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [852, -1, 2544, -1], 'generators': [666765314598952356744, 258589282126270880332800, 117319218568009135195351680, 190201783952415476070933143, 7483053140030815731014400, 236147328990490050604800, 36041145660909331907263, 10786190776954385950368, 36046504782378446243896, 4016, 242995498694891355547427896, 258589282126270880369007], 'label': '373248.cq.18.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297595
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [24, -1, 2247, -1], 'generators': [242995498694891355547427896, 666765314598952356744, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 54943621251477076384383280], 'label': '373248.cq.18.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297596
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [808, -1, 2528, -1], 'generators': [258589282126270880332800, 117319218568009135195351680, 190201783952415476070933143, 7483053140030815731014400, 236147328990490050604800, 36662172020034661473365, 10786190776954385950368, 36046504782378446243896, 4016, 10353350964776198454, 242995498694891355547427896, 258589282126270880369007], 'label': '373248.cq.18.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297597
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [70, -1, 2264, -1], 'generators': [242995498694891355547427896, 10353350964776198454, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 54943621251477076384383280], 'label': '373248.cq.18.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.h1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297598
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [113, -1, 2279, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.18.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.i1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.I', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297599
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [151, -1, 2293, -1], 'generators': [36046504782378446243165, 4016, 10800058359897420324819, 84563389887161517883326872, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 71019132953516912248762157, 4370602533330072243012836, 734], 'label': '373248.cq.18.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.j1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.J', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297600
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 2, 'diagramx': [549, -1, 308, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 1888344351351519630912119, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.h1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297601
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [893, -1, 2559, -1], 'generators': [36046504782378446243165, 4016, 232811471570261420372660213, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792485380242663889482028, 34262168425792353964888124, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.18.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.k1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.K', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297602
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [464, -1, 2405, -1], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.18.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '18.l1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297603
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [384, -1, 2376, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 10786190776954385950368, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.18.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '18.m1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297604
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [307, -1, 2349, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.18.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '18.n1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.N', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297605
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [348, -1, 2363, -1], 'generators': [36046504782378446243165, 10786190776954385951352, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.18.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '18.o1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297606
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [767, -1, 2513, -1], 'generators': [666765314598952356744, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 7483053140030815731014400, 236147328990490050604800, 10786190776954385950368, 4016, 10353350964776198454, 734, 258589282126270880369007], 'label': '373248.cq.18.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.p1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.P', 'subgroup_fusion': None, 'weyl_group': '10368.ea'}
  • id: 203297607
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [189, -1, 2307, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734, 54943621251477076384383280], 'label': '373248.cq.18.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.q1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297608
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [228, -1, 2320, -1], 'generators': [36046504782378446243165, 258589282126270880332800, 49792485380242663889482028, 117319218568009135195351680, 242740339337980757768504414, 7483053140030815731014400, 236147328990490050604800, 49675836332994160028577044, 4016, 734, 10810155175402022052749, 258589282126270880369007], 'label': '373248.cq.18.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.r1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297609
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1012, -1, 2601, -1], 'generators': [666765314598952356744, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 7483053140030815731014400, 236147328990490050604800, 10800058359897420324819, 51679931000452400261118872, 4016, 734, 258589282126270880369007], 'label': '373248.cq.18.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.s1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297610
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [676, -1, 2481, -1], 'generators': [666765314598952356744, 36046504782378446243165, 258589282126270880332800, 49792485380242663889482028, 117319218568009135195351680, 242740339337980757768504414, 7483053140030815731014400, 236147328990490050604800, 4016, 734, 10810155175402022052749, 258589282126270880369007], 'label': '373248.cq.18.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.t1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297611
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.F', 'coset_action_label': None, 'count': 2, 'diagramx': [754, -1, 381, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 10804802497890614801573, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 1888344351351519630912119, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.i1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297612
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [590, -1, 2450, -1], 'generators': [84563389887161517883326872, 666765314598952356744, 232782189161754658461236184, 36046504782378446243165, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 258589282126270880369007], 'label': '373248.cq.18.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.u1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.U', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297613
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [1052, -1, 2615, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 232811471570261420372660213, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792485380242663889482028, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.18.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.v1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.V', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297614
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [927, -1, 2571, -1], 'generators': [84563389887161517883326872, 36046504782378446243165, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 71019132953516912248762157, 734, 258589282126270880369007], 'label': '373248.cq.18.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.w1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.W', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297615
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [420, -1, 2389, -1], 'generators': [27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 10800058359897420324819, 4370602533330072243012836, 4016, 84563285246391676595646524, 10353350964776198454, 71019132953516912248762157, 734, 258589282126270880369007], 'label': '373248.cq.18.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '18.x1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.X', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297616
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [964, -1, 2584, -1], 'generators': [36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 7483053140030815731014400, 236147328990490050604800, 51679931000452400261118872, 4016, 10353350964776198454, 734, 4379214888348412625856566, 258589282126270880369007], 'label': '373248.cq.18.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.y1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297617
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '18.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [725, -1, 2498, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 49792731313248154897759358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.18.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '18.z1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297618
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1437, -1, 3134, -1], 'generators': [242740339337980757768504414, 259204955388382952520921, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '24.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297619
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1402, -1, 3121, -1], 'generators': [10353350964776198454, 4016, 260328584778135913263297, 4580772780878683543486358, 2122376398225627295401185, 734, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 242740339337980757768504414, 259204955388382952520921], 'label': '373248.cq.24.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '24.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297620
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1473, -1, 3147, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '24.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297621
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1367, -1, 3109, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 260328584778135913263297, 2122376398225627295401185], 'label': '373248.cq.24.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '24.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297622
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 2, 'diagramx': [199, -1, 183, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.j1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297623
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 24, 'diagramx': [4989, -1, 4405, -1], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903], 'label': '373248.cq.24.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.E', 'old_label': '24.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297624
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1508, -1, 3159, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.24.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.F', 'old_label': '24.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297625
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1303, -1, 3086, -1], 'generators': [10353350964776198454, 1897582098352623447300986, 4016, 260328584778135913263297, 4580772780878683543486358, 734, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 242740339337980757768504414, 259204955388382952520921], 'label': '373248.cq.24.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '24.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297626
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [5431, -1, 4564, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 242740339337980757768503680, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.24.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.H', 'old_label': '24.h1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297627
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1235, -1, 3061, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '24.i1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297628
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1270, -1, 3074, -1], 'generators': [242740339337980757768504414, 259204955388382952520921, 1897582098352623447300986, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '24.j1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297629
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 12, 'diagramx': [1334, -1, 3097, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 260328584778135913263297], 'label': '373248.cq.24.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.K', 'old_label': '24.k1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297630
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [479, -1, 2791, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 7472625213345851622068472, 27870267667444473703, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.l1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.L', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297631
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4334, -1, 4171, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.m1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297632
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [874, -1, 2932, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 10804802497890614802557, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 7483045598139117075109314, 258589282126270880369007], 'label': '373248.cq.24.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.n1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297633
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.G', 'coset_action_label': None, 'count': 2, 'diagramx': [708, -1, 365, -1], 'generators': [27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 1897326631883238412953614, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.k1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297634
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7548, -1, 5322, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 7472625213345851622067488, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.o1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.O', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297635
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2655, -1, 3570, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 7472625213345851622067488, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.p1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297636
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7924, -1, 5456, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 7472625213345851622068472, 27870267667444473703, 10804802497890614801573, 258589282126270880369007], 'label': '373248.cq.24.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.q1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297637
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2784, -1, 3616, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 10800058359897420325781, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.r1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297638
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9037, -1, 5855, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 7483045598139117075109314, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.s1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297639
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8951, -1, 5824, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 1923187279169471557955274, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.t1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297640
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8910, -1, 5809, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 242740339337980757768503680, 193433976776908977580903, 10800058359897420325781, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.u1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297641
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6204, -1, 4841, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 260315927325944812623321, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.v1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297642
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2951, -1, 3676, -1], 'generators': [242740339337980757768504414, 1888331578508473053943740, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.w1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297643
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9613, -1, 6061, -1], 'generators': [242740339337980757768504414, 10796165968107052068744, 26149, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 1888344351351519630912119], 'label': '373248.cq.24.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.x1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297644
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.A', 'coset_action_label': None, 'count': 1, 'diagramx': [57, 2245, 36, 777], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.2.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.A', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297645
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 2, 'diagramx': [459, -1, 275, -1], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 10804802497890614801573, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.l1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297646
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5602, -1, 4625, -1], 'generators': [242740339337980757768504414, 10796165968107052068744, 26149, 666765314598952356744, 4016, 2121001675648815728962218, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.y1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297647
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8132, -1, 5530, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.z1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297648
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6242, -1, 4854, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 10796165968107052068744, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ba1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297649
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6312, -1, 4879, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297650
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2909, -1, 3661, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 10800058359897420324819, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297651
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2832, -1, 3633, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 1923187279169471557955274, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297652
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2610, -1, 3554, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1897326631883238412953614], 'label': '373248.cq.24.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.be1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297653
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7879, -1, 5440, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 1914195881572596985684456, 26545672484844850689463, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297654
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8994, -1, 5839, -1], 'generators': [36046504782378446243165, 4016, 242740339337980757768503680, 193433976776908977580903, 10804802497890614802557, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 7483045598139117075109314, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297655
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5392, -1, 4550, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 10353350964776198454, 193433976776908977580903, 117319218568009135195351680, 8723908218181540968460816, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 734], 'label': '373248.cq.24.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297656
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 2, 'diagramx': [60, -1, 133, -1], 'generators': [1897582098352623447300986, 49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 10189128859168368211259, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.m1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.M', 'subgroup_fusion': None, 'weyl_group': '186624.du'}
  • id: 203297657
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6350, -1, 4893, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 7472625213345851622068472, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BI', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297658
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2527, -1, 3524, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 193433976776908977580903, 8723908218181540968464812, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 1897326631883238412957610, 258589282126270880369007, 734], 'label': '373248.cq.24.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297659
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6169, -1, 4828, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 259204955388382952520921, 4016, 117319218568009135195351680, 258589282126270880332800, 260315927325944812623321, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297660
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8741, -1, 5749, -1], 'generators': [242740339337980757768504414, 259204955388382952520921, 26149, 4016, 117319218568009135195351680, 258589282126270880332800, 260315927325944812623321, 4580772780878683543486358, 236147328990490050604800, 734, 1888344351351519630912119], 'label': '373248.cq.24.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297661
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7794, -1, 5410, -1], 'generators': [242740339337980757768504414, 259204955388382952520921, 26149, 4016, 2121001675648815728962218, 117319218568009135195351680, 258589282126270880332800, 260315927325944812623321, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297662
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6948, -1, 5107, -1], 'generators': [242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297663
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9709, -1, 6095, -1], 'generators': [36046504782378446243165, 4016, 7472625213345851622067488, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bo1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BO', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297664
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7044, -1, 5141, -1], 'generators': [36046504782378446243165, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10353350964776202440, 1897326631883238412953614, 734, 193433976776908977580903, 8723908218181540968464812, 258589282126270880369007], 'label': '373248.cq.24.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297665
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9981, -1, 6193, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 193433976776908977580903, 117319218568009135195351680, 8723908218181540968460816, 10353350964776202440, 258589282126270880332800, 27870267667444473703, 1897326631883238412957610, 258589282126270880369007, 734], 'label': '373248.cq.24.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297666
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [630, -1, 2845, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36656819278796010446263, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.br1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297667
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 2, 'diagramx': [586, -1, 321, -1], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '4.n1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297668
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4119, -1, 4094, -1], 'generators': [36046504782378446243165, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 7483045598139117075109314, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297669
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [667, -1, 2858, -1], 'generators': [242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 677111509882365022368, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bt1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297670
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [752, -1, 2889, -1], 'generators': [242740339337980757768504414, 1888331578508473053943740, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297671
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [707, -1, 2872, -1], 'generators': [36046504782378446243165, 4016, 10800058359897420324819, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297672
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6447, -1, 4928, -1], 'generators': [36046504782378446243165, 4016, 7472625213345851622067488, 242740339337980757768503680, 193433976776908977580903, 10804802497890614802557, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297673
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5895, -1, 4730, -1], 'generators': [36046504782378446243165, 4016, 242740339337980757768503680, 193433976776908977580903, 10804802497890614802557, 117319218568009135195351680, 258589282126270880332800, 7472625213345851622068472, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297674
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5854, -1, 4715, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.24.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.by1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297675
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6399, -1, 4911, -1], 'generators': [242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 1914195881572596985684456, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.bz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297676
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6131, -1, 4814, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10796165968107052068744, 259204955388382952520921, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ca1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297677
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2151, -1, 3390, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 677111509882365022368, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297678
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 2, 'diagramx': [24, -1, 120, -1], 'generators': [666765314598952356744, 49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.o1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.O', 'subgroup_fusion': None, 'weyl_group': '186624.dt'}
  • id: 203297679
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2193, -1, 3405, -1], 'generators': [242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36656819278796010446263, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297680
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [95, -1, 2653, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297681
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5974, -1, 4758, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 10796165968107052068744, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ce1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297682
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6051, -1, 4786, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 259204955388382952520921, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 260315927325944812623321, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297683
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6631, -1, 4994, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297684
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9431, -1, 5996, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 4016, 242740339337980757768503680, 193433976776908977580903, 10804802497890614802557, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ch1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297685
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8087, -1, 5515, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36656819278796010446263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ci1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297686
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8702, -1, 5735, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 7472625213345851622068472, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CJ', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297687
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4245, -1, 4139, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 10800058359897420325781, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ck1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297688
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [829, -1, 2916, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 10353350964776198454, 4016, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297689
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 2, 'diagramx': [250, -1, 200, -1], 'generators': [49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 1888344351351519630912119, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '4.p1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297690
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2740, -1, 3600, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 7483045598139117075109314, 258589282126270880369007], 'label': '373248.cq.24.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297691
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9755, -1, 6112, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 10804802497890614802557, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297692
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3094, -1, 3727, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 7472625213345851622067488, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.co1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CO', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297693
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8826, -1, 5780, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297694
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6570, -1, 4972, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 7472625213345851622067488, 242740339337980757768503680, 193433976776908977580903, 10804802497890614802557, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297695
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3884, -1, 4010, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 10804802497890614802557, 117319218568009135195351680, 258589282126270880332800, 7472625213345851622068472, 27870267667444473703, 258589282126270880369007], 'label': '373248.cq.24.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297696
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8579, -1, 5691, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297697
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9844, -1, 6144, -1], 'generators': [242740339337980757768504414, 259204955388382952520921, 1897582098352623447300986, 26149, 4016, 117319218568009135195351680, 258589282126270880332800, 260338809788969929512841, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ct1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297698
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9556, -1, 6041, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 7483045598139117075109314, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297699
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [369, -1, 2752, -1], 'generators': [242740339337980757768504414, 259204955388382952520921, 26149, 4016, 117319218568009135195351680, 258589282126270880332800, 260338809788969929512841, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297700
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 2, 'diagramx': [667, -1, 350, -1], 'generators': [49792475885565611628472724, 242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.4.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '4.q1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.Q', 'subgroup_fusion': None, 'weyl_group': '186624.du'}
  • id: 203297701
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8354, -1, 5610, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297702
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [327, -1, 2736, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 1923187279169471557955274, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297703
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7327, -1, 5242, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297704
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4953, -1, 4393, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.cz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297705
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6012, -1, 4772, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 260315927325944812623321, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.da1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297706
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4025, -1, 4060, -1], 'generators': [242740339337980757768504414, 26149, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 260315927325944812623321, 4580772780878683543486358, 236147328990490050604800, 734, 1888344351351519630912119], 'label': '373248.cq.24.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.db1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297707
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4069, -1, 4076, -1], 'generators': [242740339337980757768504414, 26149, 666765314598952356744, 4016, 2121001675648815728962218, 117319218568009135195351680, 258589282126270880332800, 260315927325944812623321, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297708
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8037, -1, 5497, -1], 'generators': [242740339337980757768504414, 1888331578508473053943740, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297709
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7978, -1, 5476, -1], 'generators': [36046504782378446243165, 4016, 242740339337980757768503680, 193433976776908977580903, 10800058359897420325781, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.de1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297710
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3708, -1, 3947, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.df1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297711
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.F', 'coset_action_label': None, 'count': 2, 'diagramx': [627, -1, 336, -1], 'generators': [49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 10804802497890614801573, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 1888344351351519630912119, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '4.r1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.R', 'subgroup_fusion': None, 'weyl_group': '186624.dx'}
  • id: 203297712
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3662, -1, 3930, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 26149, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 260338809788969929512841, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297713
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3758, -1, 3965, -1], 'generators': [242740339337980757768504414, 26149, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 260338809788969929512841, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297714
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3807, -1, 3982, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.di1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297715
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8302, -1, 5591, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297716
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [280, -1, 2720, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 10800058359897420324819, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297717
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7289, -1, 5229, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 26149, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297718
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4912, -1, 4378, -1], 'generators': [242740339337980757768504414, 26149, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297719
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9799, -1, 6127, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297720
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8783, -1, 5764, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.do1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297721
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3132, -1, 3741, -1], 'generators': [36046504782378446243165, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 7472625213345851622068472, 27870267667444473703, 666765314598952357706, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DP', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297722
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.G', 'coset_action_label': None, 'count': 2, 'diagramx': [412, -1, 259, -1], 'generators': [49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 1897326631883238412953614, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.4.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '4.s1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.S', 'subgroup_fusion': None, 'weyl_group': '186624.dt'}
  • id: 203297723
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3847, -1, 3997, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 1914195881572596985684456, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297724
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6537, -1, 4959, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1897326631883238412953614], 'label': '373248.cq.24.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297725
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9892, -1, 6161, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ds1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297726
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8541, -1, 5677, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dt1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297727
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [405, -1, 2764, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.du1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297728
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9512, -1, 6025, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297729
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6089, -1, 4799, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10796165968107052068744, 259204955388382952520921, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297730
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4836, -1, 4351, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 193433976776908977580903, 117319218568009135195351680, 8723908218181540968460816, 258589282126270880332800, 27870267667444473703, 1897326631883238412957610, 258589282126270880369007, 734], 'label': '373248.cq.24.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297731
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4873, -1, 4364, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 193433976776908977580903, 8723908218181540968464812, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.24.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297732
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2288, -1, 3439, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 10800058359897420324819, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.dz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297733
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '6.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [60, -1, 424, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.6.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '6.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297734
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2334, -1, 3455, -1], 'generators': [242740339337980757768504414, 4016, 1923187279169471557955274, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ea1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297735
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1769, -1, 3253, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 10353350964776198454, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297736
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1725, -1, 3237, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ec1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297737
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4750, -1, 4320, -1], 'generators': [242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ed1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297738
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4799, -1, 4337, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 7483045598139117075109314, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ee1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297739
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8658, -1, 5719, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 7472625213345851622067488, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ef1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EF', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297740
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4290, -1, 4155, -1], 'generators': [10353350964776198454, 4016, 258589282126270880369007, 36662172020034661473365, 4580772780878683543486358, 734, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 242740339337980757768504414, 1888331578508473053943740], 'label': '373248.cq.24.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297741
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [791, -1, 2903, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297742
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2700, -1, 3586, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ei1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297743
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8394, -1, 5625, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36656819278796010446263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ej1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297744
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '6.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [113, -1, 442, -1], 'generators': [666765314598952356744, 4580772780878683543486358, 1897582098352623447300986, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 10786190776954385950368, 4016, 10353350964776198454, 734, 258589282126270880369007], 'label': '373248.cq.6.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '6.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297745
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8429, -1, 5637, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ek1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297746
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6861, -1, 5076, -1], 'generators': [242740339337980757768504414, 10796165968107052068744, 259204955388382952520921, 26149, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 1888344351351519630912119], 'label': '373248.cq.24.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.el1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297747
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6899, -1, 5089, -1], 'generators': [242740339337980757768504414, 10796165968107052068744, 259204955388382952520921, 26149, 4016, 2121001675648815728962218, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.em1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297748
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5780, -1, 4689, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 193433976776908977580903, 8723908218181540968464812, 117319218568009135195351680, 10353350964776202440, 258589282126270880332800, 27870267667444473703, 1897326631883238412957610, 258589282126270880369007, 734], 'label': '373248.cq.24.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.en1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297749
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5743, -1, 4675, -1], 'generators': [36046504782378446243165, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10353350964776202440, 1897326631883238412953614, 8723908218181540968460816, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.24.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eo1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297750
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3618, -1, 3915, -1], 'generators': [36046504782378446243165, 4016, 7472625213345851622067488, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ep1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297751
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8505, -1, 5665, -1], 'generators': [36046504782378446243165, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 7472625213345851622068472, 27870267667444473703, 10804802497890614801573, 666765314598952357706, 258589282126270880369007], 'label': '373248.cq.24.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297752
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3573, -1, 3898, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 1914195881572596985684456, 36041145660909331907263, 26545672484844850689463, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.er1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297753
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8468, -1, 5651, -1], 'generators': [242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.24.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.es1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297754
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1891, -1, 3296, -1], 'generators': [242740339337980757768504414, 259204955388382952520921, 1897582098352623447300986, 26149, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734], 'label': '373248.cq.24.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.et1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297755
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.B', 'coset_action_label': None, 'count': 1, 'diagramx': [259, 8678, 108, 2342], 'generators': [1897582098352623447300986, 49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 677111509882365022368, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.2.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.B', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297756
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '6.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [19, -1, 409, -1], 'generators': [36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 1897576745717044761829056, 51679931000452400261118872, 10786190776954385950368, 677111509882365022368, 4016, 734, 4537000264085490415737904, 258589282126270880369007], 'label': '373248.cq.6.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '6.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.C', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297757
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1935, -1, 3312, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.eu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297758
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1542, -1, 3171, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ev1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297759
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1577, -1, 3184, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 666765314598952357706, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ew1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297760
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7123, -1, 5170, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ex1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297761
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7083, -1, 5155, -1], 'generators': [242740339337980757768504414, 259204955388382952520921, 26149, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 734, 2122376398225627295401185], 'label': '373248.cq.24.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ey1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297762
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3211, -1, 3769, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ez1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297763
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3254, -1, 3784, -1], 'generators': [36046504782378446243165, 4016, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 7483045598139117075109314, 666765314598952357706, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.24.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fa1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297764
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [24, -1, 2628, -1], 'generators': [36046504782378446243165, 1888336322794769338310465, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.24.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FB', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203297765
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [557, -1, 2819, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297766
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [440, -1, 2777, -1], 'generators': [36046504782378446243165, 1888336322794769338310465, 242649307680826091159077314, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.24.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FD', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203297767
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '6.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [160, -1, 459, -1], 'generators': [666765314598952356744, 49792475885565611628472724, 36046504782378446243165, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 10800058359897420324819, 4370602533330072243012836, 67747536142703394715946983, 70943819551533194036964986, 4016, 734, 258589282126270880369007], 'label': '373248.cq.6.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '6.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.D', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297768
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [7663, -1, 5363, -1], 'generators': [36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.24.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fe1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FE', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203297769
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4377, -1, 4186, -1], 'generators': [36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.24.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ff1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297770
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [6667, -1, 5006, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297771
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2491, -1, 3511, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 1888336322794769338310465, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 8713784784564307865894465], 'label': '373248.cq.24.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FH', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297772
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4546, -1, 4247, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297773
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 4, 'diagramx': [8254, -1, 5574, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 65961173821044044916173156, 193433976776908977580903, 67848626505895335316702183, 117319218568009135195351680, 1888321225889893145662094, 258589282126270880332800, 258589282126270880369007, 734], 'label': '373248.cq.24.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.H', 'old_label': '24.fj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297774
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 2, 'diagramx': [8216, -1, 5561, -1], 'generators': [36046504782378446243165, 1888336322794769338310465, 242649307680826091159077314, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.fk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297775
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 2, 'diagramx': [4203, -1, 4124, -1], 'generators': [666765314598952356744, 4580772780878683543486358, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 4016, 1888321225889893145662094, 734, 258589282126270880369007], 'label': '373248.cq.24.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.fl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FL', 'subgroup_fusion': None, 'weyl_group': '5184.jh'}
  • id: 203297776
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 4, 'diagramx': [5936, -1, 4745, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10796165968107052068744, 240878185671389843624908190, 666765314598952356744, 4016, 242740350645075050103706434, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734], 'label': '373248.cq.24.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.I', 'old_label': '24.fm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297777
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 2, 'diagramx': [2415, -1, 3484, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.24.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.fn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297778
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.A', 'coset_action_label': None, 'count': 1, 'diagramx': [1003, 5544, 824, 5991], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 10189128859168368211259, 4370602533330072243012836, 734], 'label': '373248.cq.8.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.A', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297779
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 2, 'diagramx': [7624, -1, 5349, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10796165968107052068744, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.fo1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297780
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3984, -1, 4046, -1], 'generators': [36046504782378446243165, 1888336322794769338310465, 240878185671389843624908190, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 734], 'label': '373248.cq.24.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.fp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297781
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [3934, -1, 4028, -1], 'generators': [36046504782378446243165, 1888336322794769338310465, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.24.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297782
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4577, -1, 4258, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1888336322794769338310465, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 734], 'label': '373248.cq.24.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297783
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 2, 'diagramx': [8176, -1, 5546, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 117319218568009135195351680, 1888321225889893145662094, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1897326631883238412953614], 'label': '373248.cq.24.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.fs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297784
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3049, -1, 3711, -1], 'generators': [36046504782378446243165, 1888331578508473053943740, 4016, 65961173821044044916173156, 193433976776908977580903, 67848626505895335316702183, 117319218568009135195351680, 258589282126270880332800, 677111509882365022368, 258589282126270880369007, 734], 'label': '373248.cq.24.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.ft1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297785
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3325, -1, 3810, -1], 'generators': [36046504782378446243165, 70951857852761322881431799, 242649307680826091159077314, 240878185671389843624908190, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734], 'label': '373248.cq.24.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Z', 'old_label': '24.fu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297786
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2995, -1, 3692, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.24.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.fv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297787
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 24, 'diagramx': [3357, -1, 3821, -1], 'generators': [36046504782378446243165, 4016, 193433976776908977580903, 67848626505895335316702183, 117319218568009135195351680, 258589282126270880332800, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.24.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.FW', 'old_label': '24.fw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297788
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9306, -1, 5951, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 1888331578508473053943740, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 677111509882365022368, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297789
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.B', 'coset_action_label': None, 'count': 1, 'diagramx': [792, 4578, 749, 5756], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.B', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297790
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4663, -1, 4289, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 7472625213345851622067488, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734], 'label': '373248.cq.24.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.fy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FY', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297791
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3530, -1, 3883, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.24.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BO', 'old_label': '24.fz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297792
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [8615, -1, 5704, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 240878185671389843624908190, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 70943921713480734044945294, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Z', 'old_label': '24.ga1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297793
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [9664, -1, 6079, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.24.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297794
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4504, -1, 4232, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 7482790000065127825728337, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.gc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297795
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 2, 'diagramx': [6824, -1, 5063, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10796165968107052068744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1897326631883238412953614], 'label': '373248.cq.24.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.gd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297796
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9257, -1, 5934, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734], 'label': '373248.cq.24.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ge1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297797
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7000, -1, 5126, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.gf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297798
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4619, -1, 4273, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.24.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BO', 'old_label': '24.gg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297799
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 2, 'diagramx': [5560, -1, 4610, -1], 'generators': [36046504782378446243165, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.gh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297800
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.C', 'coset_action_label': None, 'count': 1, 'diagramx': [245, 2269, 553, 5194], 'generators': [242740339337980757768504414, 36046504782378446243165, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.8.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.C', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297801
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [5816, -1, 4702, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 10189128859168368211259], 'label': '373248.cq.24.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297802
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [2869, -1, 3646, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 10180498751286404889600, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.gj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297803
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 2, 'diagramx': [59, -1, 2640, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 117319218568009135195351680, 258589282126270880332800, 1897590856862446417285037, 10180498751286404889600, 236147328990490050604800, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '24.gk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GK', 'subgroup_fusion': None, 'weyl_group': '186624.du'}
  • id: 203297804
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1679, -1, 3220, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.gl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GL', 'subgroup_fusion': None, 'weyl_group': '3456.ma'}
  • id: 203297805
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1047, -1, 2994, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 242740339337980757768504414, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.gm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297806
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5023, -1, 4418, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 666765314598952356744, 4016, 7472625213345851622067488, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.gn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GN', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297807
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2068, -1, 3360, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 7483062506724382822675205], 'label': '373248.cq.24.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.go1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297808
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [4458, -1, 4215, -1], 'generators': [36046504782378446243165, 10353350964776198454, 666765314598952356744, 4016, 65961173821044044916173156, 193433976776908977580903, 67848626505895335316702183, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734], 'label': '373248.cq.24.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.gp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297809
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4417, -1, 4200, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297810
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7508, -1, 5307, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.gr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297811
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.D', 'coset_action_label': None, 'count': 1, 'diagramx': [635, 3424, 692, 5475], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.D', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297812
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 2, 'diagramx': [192, -1, 2688, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.gs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297813
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [5514, -1, 4594, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gt1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297814
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4700, -1, 4302, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.24.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297815
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 12, 'diagramx': [7586, -1, 5335, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.24.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BX', 'old_label': '24.gv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297816
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 2, 'diagramx': [7837, -1, 5425, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.gw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297817
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5345, -1, 4533, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 65961173821044044916173156, 193433976776908977580903, 67848626505895335316702183, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734, 1888344351351519630912119], 'label': '373248.cq.24.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.gx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297818
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [2568, -1, 3539, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 240878185671389843624908190, 666765314598952356744, 4016, 242740350645075050103706434, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734, 1888344351351519630912119], 'label': '373248.cq.24.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Z', 'old_label': '24.gy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297819
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [5291, -1, 4514, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.24.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.gz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297820
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [5469, -1, 4577, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.24.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ha1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HA', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203297821
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7706, -1, 5379, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1888344351351519630912119], 'label': '373248.cq.24.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.hb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297822
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.E', 'coset_action_label': None, 'count': 1, 'diagramx': [1164, 7907, 882, 6566], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.E', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297823
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 24, 'diagramx': [947, -1, 2958, -1], 'generators': [36046504782378446243165, 240878185671389843624908190, 666765314598952356744, 4016, 193433976776908977580903, 242740350645075050103706434, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734, 1888344351351519630912119], 'label': '373248.cq.24.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.HC', 'old_label': '24.hc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297824
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 12, 'diagramx': [916, -1, 2947, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.24.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.BX', 'old_label': '24.hd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297825
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6493, -1, 4944, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 240878185671389843624908190, 666765314598952356744, 4016, 1897574556398330817867432, 242740350645075050103706434, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734], 'label': '373248.cq.24.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Z', 'old_label': '24.he1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297826
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2457, -1, 3499, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 1897574556398330817867432, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297827
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7751, -1, 5394, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 666765314598952356744, 4016, 1897574556398330817867432, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.hg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297828
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 2, 'diagramx': [1195, -1, 3047, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 666765314598952356744, 4016, 1897574556398330817867432, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.hh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297829
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7458, -1, 5289, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.hi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297830
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [9350, -1, 5967, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.hj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297831
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [9215, -1, 5918, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '24.hk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HK', 'subgroup_fusion': None, 'weyl_group': '186624.dt'}
  • id: 203297832
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [5111, -1, 4449, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 1897582098352623447300986, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297833
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.F', 'coset_action_label': None, 'count': 1, 'diagramx': [1040, 6710, 838, 6275], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.8.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.F', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297834
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1090, -1, 3009, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.hm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297835
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [518, -1, 2805, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297836
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2020, -1, 3343, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ho1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297837
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [6781, -1, 5047, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.24.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HP', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203297838
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5066, -1, 4433, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1897326631883238412953614], 'label': '373248.cq.24.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.hq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HQ', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297839
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1851, -1, 3282, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297840
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 2, 'diagramx': [7163, -1, 5184, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 242740339337980757768504414, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.hs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297841
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3394, -1, 3835, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ht1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297842
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 2, 'diagramx': [4165, -1, 4111, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '24.hu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297843
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5216, -1, 4487, -1], 'generators': [36046504782378446243165, 240878185671389843624908190, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.24.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.hv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297844
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '8.G', 'coset_action_label': None, 'count': 1, 'diagramx': [22, 1114, 473, 4913], 'generators': [27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 1897326631883238412953614, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.G', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297845
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [5160, -1, 4467, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.24.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297846
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3441, -1, 3852, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.24.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.hx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297847
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [9139, -1, 5891, -1], 'generators': [36046504782378446243165, 240878185671389843624908190, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 1888344351351519630912119], 'label': '373248.cq.24.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '24.hy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HY', 'subgroup_fusion': None, 'weyl_group': '3456.jo'}
  • id: 203297848
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [9085, -1, 5872, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.24.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.hz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.HZ', 'subgroup_fusion': None, 'weyl_group': '6912.go'}
  • id: 203297849
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1625, -1, 3201, -1], 'generators': [10353350964776198454, 4016, 258589282126270880369007, 36046504782378446243165, 4580772780878683543486358, 734, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 242740339337980757768504414, 1888331578508473053943740], 'label': '373248.cq.24.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ia1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IA', 'subgroup_fusion': None, 'weyl_group': '3456.ma'}
  • id: 203297850
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [235, -1, 2703, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ib1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297851
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [3294, -1, 3799, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 1897582098352623447300986, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.ic1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IC', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297852
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.ID', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 12, 'diagramx': [7243, -1, 5213, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 67747536142703394715946983, 4016, 70943819551533194036964986, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.24.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CC', 'old_label': '24.id1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ID', 'subgroup_fusion': None, 'weyl_group': '31104.fx'}
  • id: 203297853
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [3488, -1, 3868, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.ie1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297854
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7369, -1, 5257, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 1897582098352623447300986, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.if1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297855
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [563, -1, 667, -1], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903], 'label': '373248.cq.8.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '8.h1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297856
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [9472, -1, 6010, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 1897590856862446417285037, 236147328990490050604800, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ig1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IG', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297857
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6600, -1, 4982, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 1897590856862446417285037, 4370602533330072243012836, 4016, 734, 258589282126270880369007], 'label': '373248.cq.24.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ih1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IH', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297858
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.II', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 2, 'diagramx': [978, -1, 2970, -1], 'generators': [4537000264085490415737904, 242740339337980757768504414, 36046504782378446243165, 4016, 51679931000452400261118872, 117319218568009135195351680, 258589282126270880332800, 1897576745717044761829056, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '24.ii1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.II', 'subgroup_fusion': None, 'weyl_group': '186624.du'}
  • id: 203297859
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [7411, -1, 5272, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.24.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ij1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297860
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1009, -1, 2981, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 117319218568009135195351680, 258589282126270880332800, 1897590856862446417285037, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.ik1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IK', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297861
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5711, -1, 4664, -1], 'generators': [4537000264085490415737904, 242740339337980757768504414, 36046504782378446243165, 4016, 49792743228358540192983062, 117319218568009135195351680, 258589282126270880332800, 1897576745717044761829056, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.24.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '24.il1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IL', 'subgroup_fusion': None, 'weyl_group': '62208.eh'}
  • id: 203297862
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 2, 'diagramx': [2241, -1, 3422, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 49792743228358540192983062, 117319218568009135195351680, 258589282126270880332800, 1897590856862446417285037, 236147328990490050604800, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '24.im1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IM', 'subgroup_fusion': None, 'weyl_group': '186624.du'}
  • id: 203297863
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [6279, -1, 4867, -1], 'generators': [36046504782378446243165, 70951857852761322881431799, 242649307680826091159077314, 240878185671389843624908190, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.24.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Z', 'old_label': '24.in1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297864
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2112, -1, 3376, -1], 'generators': [36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.24.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.io1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297865
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6702, -1, 5019, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10796165968107052068744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1888344351351519630912119], 'label': '373248.cq.24.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ip1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297866
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.C', 'coset_action_label': None, 'count': 1, 'diagramx': [22, 1120, 23, 503], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792731313248154897759358, 49792485380242663889482028, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.2.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.C', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297867
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [337, -1, 586, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1888336322794769338310465, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.i1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297868
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [5254, -1, 4500, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 49792475885565611628472724, 4016, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 258589282126270880369007, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.24.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CE', 'old_label': '24.iq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IQ', 'subgroup_fusion': None, 'weyl_group': '10368.je'}
  • id: 203297869
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 12, 'diagramx': [1127, -1, 3023, -1], 'generators': [36046504782378446243165, 49792475885565611628472724, 70951857852761322881431799, 67747536142703394715946983, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CC', 'old_label': '24.ir1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IR', 'subgroup_fusion': None, 'weyl_group': '10368.pi'}
  • id: 203297870
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1158, -1, 3034, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 1888331578508473053943740, 4016, 193433976776908977580903, 242740350645075050103706434, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.24.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.IS', 'old_label': '24.is1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IS', 'subgroup_fusion': None, 'weyl_group': '5184.ov'}
  • id: 203297871
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [3171, -1, 3755, -1], 'generators': [36046504782378446243165, 4016, 1897574556398330817867432, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.24.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.it1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297872
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5679, -1, 4653, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 1897574556398330817867432, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1897326631883238412953614], 'label': '373248.cq.24.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.iu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297873
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [9181, -1, 5906, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 240878185671389843624908190, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 70943815537622449684779432, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.24.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Z', 'old_label': '24.iv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297874
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [8869, -1, 5795, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 4016, 1897574556398330817867432, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.24.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.iw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297875
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6739, -1, 5032, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 734, 7483062506724382822675205], 'label': '373248.cq.24.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ix1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297876
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [9391, -1, 5982, -1], 'generators': [36046504782378446243165, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.24.IY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '24.iy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297877
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.IZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [593, -1, 2832, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.24.IZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.iz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.IZ', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297878
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [1133, -1, 871, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 10804802497890614801573, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.j1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297879
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.JA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [5642, -1, 4639, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1897326631883238412953614], 'label': '373248.cq.24.JA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '24.ja1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297880
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.JB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 12, 'diagramx': [144, -1, 2671, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 4370602533330072243012836, 10786190776954385950368, 4016, 734, 258589282126270880369007], 'label': '373248.cq.24.JB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.CE', 'old_label': '24.jb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JB', 'subgroup_fusion': None, 'weyl_group': '31104.fv'}
  • id: 203297881
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.JC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2374, -1, 3469, -1], 'generators': [36046504782378446243165, 49792475885565611628472724, 67747536142703394715946983, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.JC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.jc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JC', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297882
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.JD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 2, 'diagramx': [9939, -1, 6178, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10800058359897420324819, 84563389887161517883326872, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.JD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '24.jd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JD', 'subgroup_fusion': None, 'weyl_group': '186624.dt'}
  • id: 203297883
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.JE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [7198, -1, 5197, -1], 'generators': [36046504782378446243165, 67747536142703394715946983, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792731313248154897759358, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.JE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '24.je1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JE', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203297884
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.JF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 2, 'diagramx': [1979, -1, 3328, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10800058359897420324819, 84563285246391676595646524, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.24.JF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '24.jf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JF', 'subgroup_fusion': None, 'weyl_group': '186624.dt'}
  • id: 203297885
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '24.JG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 24, 'diagramx': [1811, -1, 3268, -1], 'generators': [242740339337980757768503680, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 26875, 1897590856862446417285037, 677111509882365022368, 49792475885565611628483574, 236147328990490050604800, 4370602533330072243012836, 258589282126270880372993], 'label': '373248.cq.24.JG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.JG', 'old_label': '24.jg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.JG', 'subgroup_fusion': None, 'weyl_group': '15552.ii'}
  • id: 203297886
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 1, 'diagramx': [1188, 1084, 6624, 7595], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.32.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.A', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203297887
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1071, -1, 6582, -1], 'generators': [36046504782378446243165, 1888336322794769338310465, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.32.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297888
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [123, -1, 6243, -1], 'generators': [36046504782378446243165, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.32.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297889
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [381, -1, 602, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1888336322794769338310465, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.8.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.k1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297890
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [21, -1, 6206, -1], 'generators': [242740339337980757768504414, 1888336322794769338310465, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297891
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [195, -1, 6269, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297892
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [300, -1, 6306, -1], 'generators': [36046504782378446243165, 1888336322794769338310465, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836], 'label': '373248.cq.32.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297893
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [811, -1, 6489, -1], 'generators': [242740339337980757768504414, 1888336322794769338310465, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.32.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297894
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [336, -1, 6319, -1], 'generators': [242740339337980757768504414, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.32.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.h1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297895
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [438, -1, 6356, -1], 'generators': [242740339337980757768504414, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.32.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.i1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297896
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [401, -1, 6343, -1], 'generators': [10800058359897420324819, 258589282126270880369007, 36046504782378446243165, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 27870267667444473703, 258589282126270880332800, 677111509882365022368, 4370602533330072243012836], 'label': '373248.cq.32.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.j1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297897
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [586, -1, 6409, -1], 'generators': [36046504782378446243165, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.32.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.k1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297898
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [519, -1, 6385, -1], 'generators': [36046504782378446243165, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836], 'label': '373248.cq.32.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.l1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297899
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1115, -1, 6598, -1], 'generators': [242740339337980757768504414, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 734, 4370602533330072243012836], 'label': '373248.cq.32.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.m1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297900
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [598, -1, 679, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.8.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.l1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297901
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 8, 'diagramx': [90, -1, 6231, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 10189128859168368211259, 4370602533330072243012836, 734], 'label': '373248.cq.32.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.n1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297902
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [776, -1, 6477, -1], 'generators': [36046504782378446243165, 10353350964776198454, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.32.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.o1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297903
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [477, -1, 6370, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.32.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.p1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297904
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [617, -1, 6420, -1], 'generators': [36046504782378446243165, 666765314598952356744, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.32.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.q1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297905
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1152, -1, 6611, -1], 'generators': [36046504782378446243165, 666765314598952356744, 1897574556398330817867432, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.32.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.r1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297906
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [56, -1, 6219, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.s1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297907
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1299, -1, 6664, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.t1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297908
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [367, -1, 6331, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.32.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.u1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297909
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1343, -1, 6680, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 1897574556398330817867432, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.v1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297910
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [157, -1, 6255, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.w1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297911
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [830, -1, 762, -1], 'generators': [27870267667444473703, 36046504782378446243165, 258589282126270880332800, 10804802497890614801573, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 1897326631883238412953614, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.m1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297912
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1251, -1, 6647, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.x1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297913
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1509, -1, 6739, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.y1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297914
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [555, -1, 6397, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.32.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.z1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297915
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [901, -1, 6522, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.32.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.ba1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297916
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [855, -1, 6505, -1], 'generators': [36046504782378446243165, 10353350964776198454, 10800058359897420324819, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836], 'label': '373248.cq.32.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.bb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297917
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1376, -1, 6692, -1], 'generators': [36046504782378446243165, 10353350964776198454, 242740339337980757768503680, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836], 'label': '373248.cq.32.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.bc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297918
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [1476, -1, 6727, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.32.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.bd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BD', 'subgroup_fusion': None, 'weyl_group': '5184.qf'}
  • id: 203297919
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [263, -1, 6293, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836, 734], 'label': '373248.cq.32.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.be1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297920
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 8, 'diagramx': [649, -1, 6431, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 4370602533330072243012836, 734], 'label': '373248.cq.32.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.bf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297921
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [232, -1, 6282, -1], 'generators': [242740339337980757768504414, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.32.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.bg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297922
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [150, -1, 519, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.n1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297923
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [681, -1, 6442, -1], 'generators': [242740339337980757768504414, 4016, 1897574556398330817867432, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.32.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.bh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297924
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [743, -1, 6465, -1], 'generators': [36046504782378446243165, 1897574556398330817867432, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836], 'label': '373248.cq.32.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.bi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297925
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 8, 'diagramx': [712, -1, 6454, -1], 'generators': [242740339337980757768504414, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.32.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.H', 'old_label': '32.bj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297926
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1218, -1, 6635, -1], 'generators': [1897582098352623447300986, 10353350964776198454, 666765314598952356744, 10800058359897420324819, 193433976776908977580903, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 4370602533330072243012836], 'label': '373248.cq.32.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '32.bk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BK', 'subgroup_fusion': None, 'weyl_group': '23328.o'}
  • id: 203297927
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1003, -1, 6558, -1], 'generators': [39270962933801896908011305, 10800058359897420350814, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 4405438648625129762549934, 314842720713887816368014, 1897582098352623447301464, 677111509882365022368, 36036401396332819523214], 'label': '373248.cq.32.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '32.bl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297928
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 16, 'diagramx': [972, -1, 6547, -1], 'generators': [36036401396332819523214, 10800058359897420350814, 4405438648625129762549934, 1897582098352623447301464, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 314842720713887816368014, 39270974848912282286334529, 39270500714050364249580961], 'label': '373248.cq.32.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '32.bm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BM', 'subgroup_fusion': None, 'weyl_group': '37044.u'}
  • id: 203297929
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1030, -1, 6568, -1], 'generators': [49792475885565611628472724, 1897582098352623447300986, 4370602533330072243038825, 666765314598952356744, 193433976776908977606875, 10800058359897420350814, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 27870267667444499675], 'label': '373248.cq.32.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '32.bn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BN', 'subgroup_fusion': None, 'weyl_group': '23328.o'}
  • id: 203297930
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 16, 'diagramx': [937, -1, 6534, -1], 'generators': [110254381757671756989729, 1897582098352623447300986, 666765314598952356744, 39270974848912282286334529, 10800058359897420324819, 242740339337980757768503680, 258574191436957689252129, 117319218568009135195351680, 258589282126270880332800, 4603250733890806601448862], 'label': '373248.cq.32.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '32.bo1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BO', 'subgroup_fusion': None, 'weyl_group': '23328.o'}
  • id: 203297931
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1410, -1, 6704, -1], 'generators': [39270962933801896908011305, 10353350964776198454, 10800058359897420350814, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 4405438648625129762549934, 314842720713887816368014, 1897582098352623447301464, 36036401396332819523214], 'label': '373248.cq.32.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '32.bp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297932
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '32.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 16, 'diagramx': [1444, -1, 6716, -1], 'generators': [10353350964776198454, 10800058359897420350814, 242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 4405438648625129762549934, 39270500714050364249580961, 314842720713887816368014, 1897582098352623447301464, 36036401396332819523214], 'label': '373248.cq.32.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '32.bq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297933
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [201, -1, 537, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.o1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297934
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3732, -1, 8080, -1], 'generators': [10353350964776198454, 4016, 666765314598952356744, 242740339337980757768503680, 10786190776954385950368, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297935
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1437, -1, 7259, -1], 'generators': [4016, 242740339337980757768503680, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 10353350964776199180, 26545672484844850690422], 'label': '373248.cq.36.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297936
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [839, -1, 7044, -1], 'generators': [36662172020034661474324, 4016, 242740339337980757768503680, 10786190776954385950368, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 7483053140030815731014400, 36041145660909331907994, 258589282126270880369007, 236147328990490050604800], 'label': '373248.cq.36.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297937
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3021, -1, 7826, -1], 'generators': [4016, 242740339337980757768503680, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 666765314598952357706, 236147328990490050604800, 258589282126270880369007, 26545672484844850690422], 'label': '373248.cq.36.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297938
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6974, -1, 9241, -1], 'generators': [666765314598952356744, 258589282126270880332800, 117319218568009135195351680, 190201783952415476070933143, 236147328990490050604800, 36041145660909331907263, 10786190776954385950368, 4016, 7498796205739903193985976, 258589282126270880369007, 242740339337980757768503680], 'label': '373248.cq.36.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297939
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6700, -1, 9143, -1], 'generators': [666765314598952356744, 258589282126270880332800, 117319218568009135195351680, 190201783952415476070933143, 236147328990490050604800, 10786190776954385950368, 4016, 10353350964776199180, 7498796205739903193985976, 258589282126270880369007, 242740339337980757768503680], 'label': '373248.cq.36.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297940
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7499, -1, 9429, -1], 'generators': [666765314598952356744, 258589282126270880332800, 117319218568009135195351680, 190201783952415476070933143, 7483053140030815731014400, 236147328990490050604800, 10786190776954385950368, 4016, 36041145660909331907994, 258589282126270880369007, 242740339337980757768503680], 'label': '373248.cq.36.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297941
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7005, -1, 9252, -1], 'generators': [7498796205739903193985976, 10353350964776198454, 4016, 242740339337980757768503680, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 666765314598952357706, 236147328990490050604800, 258589282126270880369007, 26545672484844850690422], 'label': '373248.cq.36.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.G', 'old_label': '36.h1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297942
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6669, -1, 9131, -1], 'generators': [7498796205739903193985976, 10353350964776198454, 4016, 242740339337980757768503680, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 26545672484844850690422], 'label': '373248.cq.36.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.G', 'old_label': '36.i1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297943
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7534, -1, 9441, -1], 'generators': [36662172020034661474324, 10353350964776198454, 4016, 242740339337980757768503680, 10786190776954385950368, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 7483053140030815731014400, 258589282126270880369007, 236147328990490050604800], 'label': '373248.cq.36.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.A', 'old_label': '36.j1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297944
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [964, -1, 810, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.p1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297945
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [179, -1, 6808, -1], 'generators': [7498796205739903193985976, 4016, 242740339337980757768503680, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 36662172020034661473365, 36041145660909331907994, 236147328990490050604800, 258589282126270880369007, 26545672484844850690422], 'label': '373248.cq.36.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.G', 'old_label': '36.k1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297946
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [147, -1, 6797, -1], 'generators': [36662172020034661474324, 7498796205739903193985976, 4016, 242740339337980757768503680, 10786190776954385950368, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 236147328990490050604800, 258589282126270880369007, 10353350964776199180], 'label': '373248.cq.36.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.l1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297947
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7567, -1, 9453, -1], 'generators': [7498796205739903193985976, 4016, 242740339337980757768503680, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 36041145660909331907994, 666765314598952357706, 236147328990490050604800, 258589282126270880369007, 26545672484844850690422], 'label': '373248.cq.36.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.G', 'old_label': '36.m1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297948
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7598, -1, 9464, -1], 'generators': [36662172020034661474324, 7498796205739903193985976, 4016, 242740339337980757768503680, 10786190776954385950368, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 36041145660909331907263, 258589282126270880369007, 236147328990490050604800], 'label': '373248.cq.36.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.E', 'old_label': '36.n1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297949
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3922, -1, 8148, -1], 'generators': [4016, 242740339337980757768503680, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 26545672484844850690422], 'label': '373248.cq.36.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.o1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297950
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3881, -1, 8134, -1], 'generators': [4016, 242740339337980757768503680, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 7483053140030815731014400, 666765314598952357706, 236147328990490050604800, 258589282126270880369007, 10353350964776199180, 26545672484844850690422], 'label': '373248.cq.36.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.C', 'old_label': '36.p1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297951
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6793, -1, 9176, -1], 'generators': [666765314598952356744, 26545672484844850689463, 258589282126270880332800, 117319218568009135195351680, 236147328990490050604800, 7498796205739903193985245, 36046504782378446243896, 4016, 10353350964776198454, 242995498694891355547427896, 258589282126270880369007], 'label': '373248.cq.36.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.q1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297952
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2097, -1, 7495, -1], 'generators': [666765314598952356744, 26545672484844850689463, 258589282126270880332800, 117319218568009135195351680, 236147328990490050604800, 7498796205739903193985245, 36041145660909331907263, 36046504782378446243896, 4016, 242995498694891355547427896, 258589282126270880369007], 'label': '373248.cq.36.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.r1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297953
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6824, -1, 9188, -1], 'generators': [242995498694891355547427896, 666765314598952356744, 4016, 36046504782378446243896, 7498796205739903193985245, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.s1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297954
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2132, -1, 7508, -1], 'generators': [242995498694891355547427896, 10353350964776198454, 4016, 36046504782378446243896, 7498796205739903193985245, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.t1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297955
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [59, -1, 486, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.8.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.q1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297956
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4338, -1, 8297, -1], 'generators': [242995498694891355547427896, 10353350964776198454, 4016, 36046504782378446243896, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.u1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297957
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8115, -1, 9650, -1], 'generators': [666765314598952356744, 258589282126270880332800, 117319218568009135195351680, 7483053140030815731014400, 236147328990490050604800, 10786190776954385950368, 36046504782378446243896, 4016, 10353350964776198454, 242995498694891355547427896, 258589282126270880369007], 'label': '373248.cq.36.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.v1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.V', 'subgroup_fusion': None, 'weyl_group': '10368.ea'}
  • id: 203297958
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [4231, -1, 8259, -1], 'generators': [242995498694891355547427896, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.w1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.W', 'subgroup_fusion': None, 'weyl_group': '10368.ea'}
  • id: 203297959
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [2916, -1, 7788, -1], 'generators': [242995498694891355547427896, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 7483053140030815731014400, 677111509882365022368, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.x1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297960
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [4303, -1, 8285, -1], 'generators': [242995498694891355547427896, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 54943621251477076384383280], 'label': '373248.cq.36.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.y1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297961
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8005, -1, 9610, -1], 'generators': [36046504782378446243165, 4016, 39270974848912282286334529, 10810155175402022052749, 117319218568009135195351680, 49675836332994160028577044, 258589282126270880332800, 242885327268586788638936133, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369733], 'label': '373248.cq.36.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.z1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297962
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5231, -1, 8617, -1], 'generators': [36046504782378446243165, 4016, 39127753729526159502638647, 10810155175402022052749, 117319218568009135195351680, 258589282126270880332800, 242885327268586788638936133, 7483053140030815731014400, 49792485380242663889482028, 236147328990490050604800, 258589282126270880369733], 'label': '373248.cq.36.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.ba1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297963
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2850, -1, 7764, -1], 'generators': [26545672484844850689463, 258589282126270880332800, 117319218568009135195351680, 190201783952415476070933143, 7483053140030815731014400, 236147328990490050604800, 36046504782378446243896, 4016, 36656819278796010446263, 242995498694891355547427896, 258589282126270880369007], 'label': '373248.cq.36.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.bb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297964
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1783, -1, 7382, -1], 'generators': [242995498694891355547427896, 4016, 36046504782378446243896, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.bc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297965
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1716, -1, 7358, -1], 'generators': [242995498694891355547427896, 666765314598952356744, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BD', 'subgroup_fusion': None, 'weyl_group': '10368.ea'}
  • id: 203297966
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [1090, -1, 855, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 4016, 1897574556398330817867432, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.r1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297967
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5610, -1, 8753, -1], 'generators': [10800058359897420324819, 666765314598952356744, 4016, 34281059019958360267269127, 242885327268586788638936133, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369733, 7483053140030815731014400, 236147328990490050604800, 26149], 'label': '373248.cq.36.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.be1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297968
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [918, -1, 7073, -1], 'generators': [26149, 666765314598952356744, 4016, 10800058359897420324819, 51679931000452400261118872, 117319218568009135195351680, 258589282126270880332800, 242885327268586788638936133, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369733], 'label': '373248.cq.36.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297969
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5157, -1, 8590, -1], 'generators': [36046504782378446243165, 666765314598952356744, 39270974848912282286334529, 4016, 10810155175402022052749, 117319218568009135195351680, 258589282126270880332800, 242885327268586788638936133, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369733], 'label': '373248.cq.36.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297970
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1937, -1, 7437, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 10810155175402022052749, 117319218568009135195351680, 258589282126270880332800, 242885327268586788638936133, 7483053140030815731014400, 49792485380242663889482028, 236147328990490050604800, 258589282126270880369733], 'label': '373248.cq.36.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297971
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5965, -1, 8880, -1], 'generators': [10800058359897420324819, 666765314598952356744, 4016, 34281059019958360267269127, 242885327268586788638936133, 7732573145034629877615087, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369733, 236147328990490050604800, 26149], 'label': '373248.cq.36.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.S', 'old_label': '36.bi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297972
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1749, -1, 7371, -1], 'generators': [242995498694891355547427896, 10353350964776198454, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BJ', 'subgroup_fusion': None, 'weyl_group': '10368.ea'}
  • id: 203297973
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5575, -1, 8740, -1], 'generators': [242740339337980757768506370, 10353350964776198454, 36046504782378446243896, 51679931000452400261118872, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 258589282126270880369007, 236147328990490050604800, 36046504782378446246290], 'label': '373248.cq.36.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297974
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [877, -1, 7058, -1], 'generators': [242740339337980757768506370, 10353350964776198454, 36046504782378446243896, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 51679931000452400261129038, 236147328990490050604800, 258589282126270880369007, 36046504782378446246290], 'label': '373248.cq.36.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297975
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5192, -1, 8603, -1], 'generators': [242740339337980757768506370, 10353350964776198454, 36046504782378446243896, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 49792731313248154897759358, 258589282126270880369007, 236147328990490050604800, 36046504782378446246290], 'label': '373248.cq.36.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297976
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1978, -1, 7452, -1], 'generators': [242740339337980757768506370, 10353350964776198454, 36046504782378446243896, 49792731313248154897770238, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 36046504782378446246290], 'label': '373248.cq.36.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297977
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.D', 'coset_action_label': None, 'count': 1, 'diagramx': [226, 7640, 96, 2090], 'generators': [666765314598952356744, 1897582098352623447300986, 49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.2.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.D', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203297978
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [870, -1, 777, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.s1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297979
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5918, -1, 8863, -1], 'generators': [242740339337980757768506370, 10353350964776198454, 36046504782378446243896, 7483053140030815731018416, 117319218568009135195351680, 258589282126270880332800, 51679931000452400261129038, 258589282126270880369007, 236147328990490050604800, 36046504782378446246290, 4379214888348412625859672], 'label': '373248.cq.36.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Y', 'old_label': '36.bo1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297980
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [473, -1, 6913, -1], 'generators': [258589282126270880332800, 117319218568009135195351680, 190201783952415476070933143, 7483053140030815731014400, 236147328990490050604800, 10786190776954385950368, 36046504782378446243896, 4016, 36656819278796010446263, 242995498694891355547427896, 258589282126270880369007], 'label': '373248.cq.36.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297981
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [1396, -1, 7244, -1], 'generators': [242995498694891355547427896, 4016, 36046504782378446243896, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36656819278796010446263, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 54943621251477076384383280], 'label': '373248.cq.36.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297982
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [2018, -1, 7467, -1], 'generators': [36046504782378446243165, 4016, 10810155175402022052749, 117319218568009135195351680, 49675836332994160028577044, 258589282126270880332800, 242885327268586788638936133, 7483053140030815731014400, 49792485380242663889482028, 236147328990490050604800, 258589282126270880369733], 'label': '373248.cq.36.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.br1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297983
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [2059, -1, 7481, -1], 'generators': [36046504782378446243165, 4016, 39270974848912282286334529, 39127753729526159502638647, 10810155175402022052749, 117319218568009135195351680, 258589282126270880332800, 242885327268586788638936133, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369733], 'label': '373248.cq.36.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297984
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4196, -1, 8247, -1], 'generators': [242995498694891355547427896, 4016, 36046504782378446243896, 117319218568009135195351680, 190201783952415476070933143, 258589282126270880332800, 26545672484844850689463, 7483053140030815731014400, 677111509882365022368, 236147328990490050604800, 258589282126270880369007], 'label': '373248.cq.36.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.bt1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297985
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8250, -1, 9697, -1], 'generators': [10800058359897420324819, 4016, 34281059019958360267269127, 242885327268586788638936133, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369733, 7483053140030815731014400, 236147328990490050604800, 26149, 259204955388382952520921], 'label': '373248.cq.36.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297986
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8345, -1, 9732, -1], 'generators': [10800058359897420324819, 4016, 51679931000452400261118872, 242885327268586788638936133, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369733, 7483053140030815731014400, 236147328990490050604800, 26149, 259204955388382952520921], 'label': '373248.cq.36.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297987
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [381, -1, 6880, -1], 'generators': [10810155175402022052749, 4016, 242885327268586788638936133, 36046504782378446243165, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369733, 7483053140030815731014400, 236147328990490050604800, 49792485380242663889482028, 259204955388382952520921], 'label': '373248.cq.36.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297988
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7410, -1, 9397, -1], 'generators': [10810155175402022052749, 4016, 242885327268586788638936133, 36046504782378446243165, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369733, 7483053140030815731014400, 236147328990490050604800, 39270974848912282286334529, 259204955388382952520921], 'label': '373248.cq.36.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297989
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [288, -1, 568, -1], 'generators': [27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.t1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297990
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8202, -1, 9680, -1], 'generators': [242740339337980757768506370, 36046504782378446243896, 51679931000452400261118872, 117319218568009135195351680, 10353350964776202440, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 258589282126270880369007, 236147328990490050604800, 36046504782378446246290], 'label': '373248.cq.36.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.by1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297991
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.BZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8297, -1, 9715, -1], 'generators': [242740339337980757768506370, 36046504782378446243896, 117319218568009135195351680, 10353350964776202440, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 51679931000452400261129038, 236147328990490050604800, 258589282126270880369007, 36046504782378446246290], 'label': '373248.cq.36.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.bz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297992
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [430, -1, 6898, -1], 'generators': [242740339337980757768506370, 36046504782378446243896, 49792731313248154897770238, 117319218568009135195351680, 10353350964776202440, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 36046504782378446246290], 'label': '373248.cq.36.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.ca1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297993
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 9, 'diagramx': [7457, -1, 9414, -1], 'generators': [242740339337980757768506370, 36046504782378446243896, 117319218568009135195351680, 10353350964776202440, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 49792731313248154897759358, 236147328990490050604800, 258589282126270880369007, 36046504782378446246290], 'label': '373248.cq.36.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.cb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297994
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4760, -1, 8449, -1], 'generators': [10800058359897420324819, 4016, 34281059019958360267269127, 242885327268586788638936133, 7732573145034629877615087, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369733, 236147328990490050604800, 26149, 259204955388382952520921], 'label': '373248.cq.36.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.S', 'old_label': '36.cc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297995
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4701, -1, 8427, -1], 'generators': [242740339337980757768506370, 36046504782378446243896, 7483053140030815731018416, 117319218568009135195351680, 10353350964776202440, 258589282126270880332800, 51679931000452400261129038, 258589282126270880369007, 236147328990490050604800, 36046504782378446246290, 4379214888348412625859672], 'label': '373248.cq.36.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Y', 'old_label': '36.cd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297996
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28697', 'count': 18, 'diagramx': [726, -1, 7004, -1], 'generators': [242740339337980757768504414, 666765314598952372565, 10353350964776198454, 4016, 36207, 117319218568009135195351680, 26545672484844850689463, 92283277864743631814400, 4461685403427697919806358, 1914400263459198931291204, 734], 'label': '373248.cq.36.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.ce1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297997
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [678, -1, 6987, -1], 'generators': [10353350964776198454, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36662172020034661473365, 1914400263459198931291204, 66028572255642571978905878, 258589282126270880369007, 734, 26545672484844850690422], 'label': '373248.cq.36.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.cf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203297998
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4608, -1, 8394, -1], 'generators': [4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734, 4396044968229214117053228], 'label': '373248.cq.36.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.cg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CG', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203297999
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7332, -1, 9369, -1], 'generators': [10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734, 4396044968229214117053228], 'label': '373248.cq.36.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.ch1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CH', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298000
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [522, -1, 652, -1], 'generators': [27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 1897326631883238412953614, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.u1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298001
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4377, -1, 8311, -1], 'generators': [666765314598952356744, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 1914400263459198931291204, 66028572255642571978905878, 258589282126270880369007, 734, 26545672484844850690422], 'label': '373248.cq.36.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.ci1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298002
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28692', 'count': 18, 'diagramx': [4416, -1, 8325, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 10353350964776214463, 36207, 117319218568009135195351680, 26545672484844850689463, 92283277864743631814400, 4461685403427697919806358, 1914400263459198931291204, 734], 'label': '373248.cq.36.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.cj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298003
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28694', 'count': 18, 'diagramx': [6410, -1, 9039, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 10786190776954385950368, 36207, 117319218568009135195351680, 92283277864743631814400, 1897582098352623447316804, 4461685403427697919806358, 734], 'label': '373248.cq.36.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.ck1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298004
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6375, -1, 9027, -1], 'generators': [10786190776954385951352, 10353350964776198454, 4016, 666765314598952356744, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 1914400263459198931291204, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.cl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298005
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7371, -1, 9383, -1], 'generators': [666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4379214888348412625856566, 4580772780878683543486358, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.cm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CM', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298006
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4651, -1, 8409, -1], 'generators': [10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.cn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CN', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298007
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28695', 'count': 18, 'diagramx': [1028, -1, 7112, -1], 'generators': [242740339337980757768504414, 666765314598952372565, 4016, 10786190776954385950368, 10353350964776214463, 36207, 117319218568009135195351680, 92283277864743631814400, 1897582098352623447316804, 4461685403427697919806358, 734], 'label': '373248.cq.36.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.co1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298008
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [988, -1, 7098, -1], 'generators': [10786190776954385951352, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 36662172020034661473365, 1914400263459198931291204, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.cp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298009
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28693', 'count': 18, 'diagramx': [2521, -1, 7647, -1], 'generators': [242740339337980757768504414, 666765314598952372565, 4016, 10353350964776214463, 36207, 117319218568009135195351680, 26545672484844850689463, 92283277864743631814400, 4461685403427697919806358, 1914400263459198931291204, 734], 'label': '373248.cq.36.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.cq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298010
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7041, -1, 9265, -1], 'generators': [10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734, 4396044968229214117053228], 'label': '373248.cq.36.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.cr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CR', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298011
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [470, -1, 633, -1], 'generators': [49792475885565611628472724, 242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.v1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.V', 'subgroup_fusion': None, 'weyl_group': '186624.du'}
  • id: 203298012
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2949, -1, 7800, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 7498796205739903193985245, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.cs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298013
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5506, -1, 8715, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 7498796205739903193985245, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.ct1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298014
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6122, -1, 8936, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 7498796205739903193985245, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.cu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298015
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8040, -1, 9623, -1], 'generators': [4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 36662172020034661473365, 1914400263459198931291204, 66028572255642571978905878, 258589282126270880369007, 734, 26545672484844850690422], 'label': '373248.cq.36.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.cv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298016
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7890, -1, 9569, -1], 'generators': [242740339337980757768504414, 4016, 7498796205739903193985245, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.cw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298017
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2980, -1, 7811, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 7498796205739903193985245, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.cx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298018
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5542, -1, 8729, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 7498796205739903193985245, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.cy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298019
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.CZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4094, -1, 8210, -1], 'generators': [10353350964776198454, 4016, 666765314598952356744, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 1914400263459198931291204, 66028572255642571978905878, 258589282126270880369007, 734, 26545672484844850690422], 'label': '373248.cq.36.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.cz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298020
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28696', 'count': 18, 'diagramx': [2305, -1, 7569, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 36207, 117319218568009135195351680, 26545672484844850689463, 92283277864743631814400, 4461685403427697919806358, 1914400263459198931291204, 734], 'label': '373248.cq.36.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.da1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298021
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7285, -1, 9352, -1], 'generators': [666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734, 4396044968229214117053228], 'label': '373248.cq.36.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.db1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DB', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298022
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.A', 'coset_action_label': None, 'count': 2, 'diagramx': [679, -1, 708, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 49792743228358540192983062, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.B', 'old_label': '8.w1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.W', 'subgroup_fusion': None, 'weyl_group': '186624.du'}
  • id: 203298023
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28698', 'count': 18, 'diagramx': [4128, -1, 8222, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 10786190776954385950368, 10353350964776214463, 36207, 117319218568009135195351680, 92283277864743631814400, 1897582098352623447316804, 4461685403427697919806358, 734], 'label': '373248.cq.36.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.dc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298024
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [9031, -1, 9978, -1], 'generators': [10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.dd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DD', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298025
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2267, -1, 7556, -1], 'generators': [10786190776954385951352, 666765314598952356744, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 1914400263459198931291204, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.de1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298026
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2482, -1, 7633, -1], 'generators': [10786190776954385951352, 10353350964776198454, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36662172020034661473365, 1914400263459198931291204, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.df1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298027
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1072, -1, 7128, -1], 'generators': [4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4379214888348412625856566, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.dg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DG', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298028
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6157, -1, 8948, -1], 'generators': [242740339337980757768504414, 4016, 7498796205739903193985245, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.dh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298029
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28691', 'count': 18, 'diagramx': [8078, -1, 9636, -1], 'generators': [242740339337980757768504414, 666765314598952372565, 10353350964776198454, 4016, 10786190776954385950368, 36207, 117319218568009135195351680, 92283277864743631814400, 1897582098352623447316804, 4461685403427697919806358, 734], 'label': '373248.cq.36.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.di1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298030
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7923, -1, 9581, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 7498796205739903193985245, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.dj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298031
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28700', 'count': 18, 'diagramx': [1634, -1, 7329, -1], 'generators': [242740339337980757768504414, 666765314598952372565, 10353350964776198454, 4016, 36207, 117319218568009135195351680, 26545672484844850689463, 92283277864743631814400, 4461685403427697919806358, 1914400263459198931275386, 734], 'label': '373248.cq.36.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.dk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298032
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1598, -1, 7316, -1], 'generators': [1897582098352623447300986, 10353350964776198454, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36662172020034661473365, 66028572255642571978905878, 258589282126270880369007, 734, 26545672484844850690422], 'label': '373248.cq.36.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.dl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298033
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [757, -1, 736, -1], 'generators': [49792475885565611628472724, 242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.8.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.x1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298034
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7964, -1, 9595, -1], 'generators': [1897582098352623447300986, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734, 4396044968229214117053228], 'label': '373248.cq.36.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.dm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DM', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298035
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6190, -1, 8960, -1], 'generators': [1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734, 4396044968229214117053228], 'label': '373248.cq.36.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.dn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DN', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298036
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28689', 'count': 18, 'diagramx': [1226, -1, 7183, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 10353350964776214463, 36207, 117319218568009135195351680, 26545672484844850689463, 92283277864743631814400, 4461685403427697919806358, 1914400263459198931275386, 734], 'label': '373248.cq.36.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.do1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DO', 'subgroup_fusion': None, 'weyl_group': '2916.ij'}
  • id: 203298037
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1184, -1, 7168, -1], 'generators': [1897582098352623447300986, 666765314598952356744, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 66028572255642571978905878, 258589282126270880369007, 26545672484844850690422, 734], 'label': '373248.cq.36.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.dp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DP', 'subgroup_fusion': None, 'weyl_group': '5184.jh'}
  • id: 203298038
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28687', 'count': 18, 'diagramx': [8982, -1, 9959, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 10786190776954385950368, 36207, 117319218568009135195351680, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.dq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DQ', 'subgroup_fusion': None, 'weyl_group': '5184.jh'}
  • id: 203298039
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2883, -1, 7776, -1], 'generators': [1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.dr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DR', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298040
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8929, -1, 9941, -1], 'generators': [10786190776954385951352, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.ds1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DS', 'subgroup_fusion': None, 'weyl_group': '2916.ij'}
  • id: 203298041
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3965, -1, 8164, -1], 'generators': [1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4379214888348412625856566, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.dt1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DT', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298042
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2670, -1, 7700, -1], 'generators': [10786190776954385951352, 1897582098352623447300986, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 36662172020034661473365, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.du1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298043
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28702', 'count': 18, 'diagramx': [2712, -1, 7715, -1], 'generators': [242740339337980757768504414, 666765314598952372565, 1897582098352623447300986, 4016, 10786190776954385950368, 10353350964776214463, 36207, 117319218568009135195351680, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.dv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298044
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.B', 'coset_action_label': None, 'count': 2, 'diagramx': [422, -1, 616, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792485380242663889482028, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.8.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.F', 'old_label': '8.y1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298045
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8799, -1, 9894, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.dw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298046
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2167, -1, 7520, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.dx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298047
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6940, -1, 9229, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.dy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298048
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.DZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3064, -1, 7841, -1], 'generators': [242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.dz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298049
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28688', 'count': 18, 'diagramx': [8645, -1, 9839, -1], 'generators': [242740339337980757768504414, 666765314598952372565, 4016, 10353350964776214463, 36207, 117319218568009135195351680, 26545672484844850689463, 92283277864743631814400, 4461685403427697919806358, 1914400263459198931275386, 734], 'label': '373248.cq.36.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.ea1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298050
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [252, -1, 6834, -1], 'generators': [1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734, 4396044968229214117053228], 'label': '373248.cq.36.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.eb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EB', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298051
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [603, -1, 6960, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.ec1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298052
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.ED', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [570, -1, 6948, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 36041145660909331907263, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.ed1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298053
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1860, -1, 7410, -1], 'generators': [1897582098352623447300986, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 36662172020034661473365, 66028572255642571978905878, 258589282126270880369007, 734, 26545672484844850690422], 'label': '373248.cq.36.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.ee1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298054
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [506, -1, 6925, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.ef1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298055
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '32.A', 'coset_action_label': None, 'count': 2, 'diagramx': [722, -1, 724, -1], 'generators': [27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 4370602533330072243012836, 1897326631883238412953614, 4016, 1897574556398330817867432, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '8.z1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298056
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4893, -1, 8496, -1], 'generators': [1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734, 26545672484844850690422], 'label': '373248.cq.36.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.eg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298057
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28701', 'count': 18, 'diagramx': [5697, -1, 8783, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 36207, 117319218568009135195351680, 26545672484844850689463, 92283277864743631814400, 4461685403427697919806358, 1914400263459198931275386, 734], 'label': '373248.cq.36.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.eh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298058
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7129, -1, 9296, -1], 'generators': [1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734, 4396044968229214117053228], 'label': '373248.cq.36.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.ei1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EI', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298059
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28699', 'count': 18, 'diagramx': [4929, -1, 8509, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 666765314598952356744, 4016, 10786190776954385950368, 10353350964776214463, 36207, 117319218568009135195351680, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.ej1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298060
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5652, -1, 8768, -1], 'generators': [10786190776954385951352, 1897582098352623447300986, 666765314598952356744, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.ek1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298061
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7083, -1, 9280, -1], 'generators': [1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4379214888348412625856566, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.el1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EL', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298062
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [216, -1, 6821, -1], 'generators': [1897582098352623447300986, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 36662172020034661473365, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.em1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EM', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298063
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 18, 'diagramx': [537, -1, 6936, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.en1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298064
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '41472.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8602, -1, 9824, -1], 'generators': [10786190776954385951352, 1897582098352623447300986, 10353350964776198454, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 36662172020034661473365, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.eo1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298065
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '373248.a1', 'coset_action_label': '36T28690', 'count': 18, 'diagramx': [1898, -1, 7424, -1], 'generators': [242740339337980757768504414, 666765314598952372565, 1897582098352623447300986, 10353350964776198454, 4016, 10786190776954385950368, 36207, 117319218568009135195351680, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.ep1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298066
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [914, -1, 793, -1], 'generators': [49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.8.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.ba1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BA', 'subgroup_fusion': None, 'weyl_group': '186624.dt'}
  • id: 203298067
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3106, -1, 7856, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 193433976776908977580903, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.36.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.eq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EQ', 'subgroup_fusion': None, 'weyl_group': '3456.jo'}
  • id: 203298068
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.ER', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3650, -1, 8051, -1], 'generators': [666765314598952356744, 27870267667444473703, 10804802497890614801573, 117319218568009135195351680, 15965, 4370602533330072243012836, 242649307680826091159077314, 4016, 1888344351351519630912119, 734, 36207], 'label': '373248.cq.36.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.er1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298069
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.ES', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8155, -1, 9664, -1], 'generators': [242649307680826091159077314, 10353350964776198454, 4016, 666765314598952356744, 10800058359897420324819, 36207, 117319218568009135195351680, 27870267667444473703, 15965, 734, 4370602533330072243012836], 'label': '373248.cq.36.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.es1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298070
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.ET', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6562, -1, 9093, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 10800058359897420324819, 193433976776908977580903, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.36.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.et1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298071
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1267, -1, 7198, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 7472625213345851622067488, 193433976776908977580903, 23075037730273514413842014, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.eu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EU', 'subgroup_fusion': None, 'weyl_group': '3456.ma'}
  • id: 203298072
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1308, -1, 7212, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 7472625213345851622067488, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.ev1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EV', 'subgroup_fusion': None, 'weyl_group': '3456.ma'}
  • id: 203298073
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5367, -1, 8666, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 666765314598952356744, 4016, 7472625213345851622067488, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.ew1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EW', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298074
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2809, -1, 7750, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 7472625213345851622067488, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.ex1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EX', 'subgroup_fusion': None, 'weyl_group': '3456.ma'}
  • id: 203298075
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7205, -1, 9323, -1], 'generators': [4537000264085490415737904, 36046504782378446243165, 70951857852761322881431799, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734, 193450033993018531276859], 'label': '373248.cq.36.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.EY', 'old_label': '36.ey1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EY', 'subgroup_fusion': None, 'weyl_group': '3456.jo'}
  • id: 203298076
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.EZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 18, 'diagramx': [7170, -1, 9311, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.36.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.ez1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.EZ', 'subgroup_fusion': None, 'weyl_group': '6912.go'}
  • id: 203298077
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '8.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '16.C', 'coset_action_label': None, 'count': 2, 'diagramx': [101, -1, 501, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792731313248154897759358, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.8.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.D', 'old_label': '8.bb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.BB', 'subgroup_fusion': None, 'weyl_group': '186624.dt'}
  • id: 203298078
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6293, -1, 8997, -1], 'generators': [36046504782378446243165, 70951857852761322881431799, 67841370623440980090201864, 666765314598952356744, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.fa1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298079
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [1821, -1, 7396, -1], 'generators': [232786841146738571827412025, 36046504782378446243165, 242649297340365309600730385, 240788207588078304176159368, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 242736293144529905446616957, 258589282126270880369007, 734], 'label': '373248.cq.36.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FB', 'old_label': '36.fb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298080
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 18, 'diagramx': [8452, -1, 9770, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.36.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.fc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FC', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203298081
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6334, -1, 9012, -1], 'generators': [242995498694891355547411934, 372170772077095110067200, 10796165968107052068744, 666765314598952356744, 4016, 36207, 117319218568009135195351680, 15965, 4715718447999155805694358, 734, 1888344351351519630912119], 'label': '373248.cq.36.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.fd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298082
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6905, -1, 9216, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 10786190776954385950368, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.fe1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298083
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6863, -1, 9201, -1], 'generators': [36046504782378446243165, 10786190776954385951352, 10353350964776198454, 4016, 666765314598952356744, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.ff1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298084
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2759, -1, 7732, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 4016, 666765314598952356744, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.fg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FG', 'subgroup_fusion': None, 'weyl_group': '3456.ma'}
  • id: 203298085
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [4534, -1, 8367, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '36.fh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298086
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 18, 'diagramx': [4569, -1, 8380, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.36.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.fi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FI', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203298087
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5414, -1, 8683, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734, 1897326631883238412953614], 'label': '373248.cq.36.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.fj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FJ', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298088
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.E', 'coset_action_label': None, 'count': 1, 'diagramx': [184, 6322, 81, 1769], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 49792485380242663889482028, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.2.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.E', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.E', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203298089
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '9.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [64, -1, 908, -1], 'generators': [84563389887161517883326872, 666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 71019132953516912248762157, 734, 258589282126270880369007], 'label': '373248.cq.9.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '9.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.A', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298090
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [804, -1, 7032, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 126689762510367927836677214, 193433976776908977580903, 8723908218181540968460816, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 734], 'label': '373248.cq.36.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.fk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298091
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [768, -1, 7019, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 193433976776908977580903, 117319218568009135195351680, 8723908218181540968460816, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 734], 'label': '373248.cq.36.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.fl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298092
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 18, 'diagramx': [1355, -1, 7229, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.36.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.fm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FM', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203298093
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [953, -1, 7086, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.fn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FN', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298094
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 18, 'diagramx': [5277, -1, 8633, -1], 'generators': [36046504782378446243165, 4016, 84563389887161517883326872, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836, 71019132953516912248762157, 10189128859168368211259], 'label': '373248.cq.36.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.fo1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298095
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1484, -1, 7275, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 7472625213345851622067488, 193433976776908977580903, 23075037730273514413842014, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.fp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298096
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6223, -1, 8972, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 4016, 666765314598952356744, 7472625213345851622067488, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.fq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FQ', 'subgroup_fusion': None, 'weyl_group': '3456.ma'}
  • id: 203298097
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [6258, -1, 8985, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 7472625213345851622067488, 193433976776908977580903, 67848626505895335316702183, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734], 'label': '373248.cq.36.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FR', 'old_label': '36.fr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FR', 'subgroup_fusion': None, 'weyl_group': '1728.47874'}
  • id: 203298098
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7680, -1, 9494, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 7472625213345851622067488, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.fs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FS', 'subgroup_fusion': None, 'weyl_group': '1728.47915'}
  • id: 203298099
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2442, -1, 7618, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 7472625213345851622067488, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.ft1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298100
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '9.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [24, -1, 894, -1], 'generators': [666765314598952356744, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 7483053140030815731014400, 236147328990490050604800, 10786190776954385950368, 4016, 10353350964776198454, 734, 258589282126270880369007, 54943621251477076384383280], 'label': '373248.cq.9.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '9.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298101
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2636, -1, 7688, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10796165968107052068744, 666765314598952356744, 4016, 7472625213345851622067488, 242740350645075050103706434, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734], 'label': '373248.cq.36.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.FU', 'old_label': '36.fu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FU', 'subgroup_fusion': None, 'weyl_group': '2916.ij'}
  • id: 203298102
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6445, -1, 9052, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10796165968107052068744, 666765314598952356744, 4016, 7472625213345851622067488, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.fv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298103
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3275, -1, 7916, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.36.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.fw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298104
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7636, -1, 9478, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.fx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FX', 'subgroup_fusion': None, 'weyl_group': '1728.47915'}
  • id: 203298105
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7819, -1, 9543, -1], 'generators': [36046504782378446243165, 1888331578508473053944454, 10353350964776198454, 4016, 666765314598952356744, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.fy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298106
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.FZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 12, 'diagramx': [3233, -1, 7902, -1], 'generators': [1888331578508473053943740, 10353350964776198454, 4016, 666765314598952356744, 314842720713887816352103, 36207, 117319218568009135195351680, 67945304916161931979082983, 15965, 734, 66083650602560240116723556], 'label': '373248.cq.36.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '36.fz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298107
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3192, -1, 7887, -1], 'generators': [242649307680826091159077314, 10353350964776198454, 4016, 666765314598952356744, 36207, 117319218568009135195351680, 27870267667444473703, 15965, 734, 4370602533330072243012836, 1888344351351519630912119], 'label': '373248.cq.36.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '36.ga1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298108
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4052, -1, 8195, -1], 'generators': [242740339337980757768504414, 1888331578508473053943740, 10353350964776198454, 4016, 666765314598952356744, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '36.gb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298109
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4493, -1, 8353, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 4379222430302705255290112, 236147328990490050604800, 258589282126270880369007, 734, 1888344351351519630912119], 'label': '373248.cq.36.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.gc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GC', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298110
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [7782, -1, 9530, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 10800058359897420324819, 193433976776908977580903, 23075037730273514413842014, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.gd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298111
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [431, -1, 1068, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298112
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 6, 'diagramx': [6081, -1, 8921, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.GE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '36.ge1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298113
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3481, -1, 7991, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 10800058359897420324819, 193433976776908977580903, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.36.GF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.gf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298114
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 6, 'diagramx': [4008, -1, 8179, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 666765314598952356744, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.GG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '36.gg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298115
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1524, -1, 7290, -1], 'generators': [36046504782378446243165, 10786190776954385951352, 10353350964776198454, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.36.GH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.gh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298116
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3605, -1, 8035, -1], 'generators': [4603250733890806601412836, 27870267667444473703, 117319218568009135195351680, 15965, 260338809788969929476819, 1897326631883238412953614, 242649307680826091159077314, 4016, 10353350964776198454, 734, 36207], 'label': '373248.cq.36.GI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.GI', 'old_label': '36.gi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298117
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3522, -1, 8005, -1], 'generators': [242649307680826091159077314, 10353350964776198454, 4016, 10800058359897420324819, 36207, 117319218568009135195351680, 27870267667444473703, 15965, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.36.GJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.gj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298118
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4452, -1, 8338, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 4016, 117319218568009135195351680, 8723908218181540968460816, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.36.GK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.gk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GK', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298119
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2561, -1, 7661, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4461685403427697919806358, 734, 1897326631883238412953614], 'label': '373248.cq.36.GL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.gl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298120
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 36, 'diagramx': [2600, -1, 7675, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 260328584778135913227168, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4580772780878683543486358, 734, 1897326631883238412953614], 'label': '373248.cq.36.GM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.GM', 'old_label': '36.gm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GM', 'subgroup_fusion': None, 'weyl_group': '5184.jh'}
  • id: 203298121
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6484, -1, 9065, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 8723888997920998873171260, 236147328990490050604800, 258589282126270880369007, 734, 1897326631883238412953614], 'label': '373248.cq.36.GN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.gn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298122
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1437, -1, 1428, -1], 'generators': [242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 26545672484844850689463, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.b1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298123
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3766, -1, 8092, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 193433976776908977580903, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.36.GO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.go1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298124
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4267, -1, 8272, -1], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 10804802497890614801573, 117319218568009135195351680, 15965, 4370602533330072243012836, 242649307680826091159077314, 4016, 734, 36207], 'label': '373248.cq.36.GP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.gp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298125
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5462, -1, 8699, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.GQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.gq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298126
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [116, -1, 6786, -1], 'generators': [666765314598952356744, 36046504782378446243165, 27870267667444473703, 258589282126270880332800, 10804802497890614801573, 23075037730273514413842014, 4016, 734, 193433976776908977580903, 7483045598139117075108583, 258589282126270880369007], 'label': '373248.cq.36.GR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.gr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298127
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [85, -1, 6775, -1], 'generators': [7483045598139117075108583, 36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.GS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.gs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298128
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8485, -1, 9782, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 242649307680826091159077314, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.GT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.gt1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GT', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298129
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 6, 'diagramx': [3151, -1, 7872, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 4379222430302705255290112, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.GU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '36.gu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298130
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8875, -1, 9922, -1], 'generators': [242740339337980757768504414, 10796165968107052068744, 1897582098352623447300986, 666765314598952356744, 4016, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.GV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.gv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GV', 'subgroup_fusion': None, 'weyl_group': '5184.jh'}
  • id: 203298131
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 6, 'diagramx': [8832, -1, 9906, -1], 'generators': [36046504782378446243165, 67841370623440980090201864, 666765314598952356744, 4016, 70943819551533194036964986, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.GW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '36.gw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298132
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1675, -1, 7344, -1], 'generators': [36046504782378446243165, 10786190776954385951352, 1897582098352623447300986, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 677111509882365022368, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.GX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.gx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298133
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.C', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1233, -1, 1355, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.c1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298134
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [333, -1, 6863, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.GY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.gy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GY', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298135
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.GZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [289, -1, 6847, -1], 'generators': [36046504782378446243165, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 1897590856862446417285037, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.GZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.GZ', 'old_label': '36.gz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.GZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298136
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1561, -1, 7303, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 10786190776954385950368, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 677111509882365022368, 4461685403427697919806358, 734], 'label': '373248.cq.36.HA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.ha1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298137
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2235, -1, 7545, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 10796165968107052068744, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.HB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '36.hb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298138
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 9, 'diagramx': [8417, -1, 9758, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.HC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.hc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HC', 'subgroup_fusion': None, 'weyl_group': '10368.ea'}
  • id: 203298139
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [54, -1, 6764, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 4016, 51679931000452400261118872, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 10180498751286404889600, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.HD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.C', 'old_label': '36.hd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HD', 'subgroup_fusion': None, 'weyl_group': '15552.ii'}
  • id: 203298140
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8724, -1, 9868, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 10353350964776198454, 4016, 666765314598952356744, 193433976776908977580903, 23075037730273514413842014, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.HE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.he1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298141
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5735, -1, 8797, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 242649307680826091159077314, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.HF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.hf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HF', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298142
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2405, -1, 7605, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.HG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.P', 'old_label': '36.hg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298143
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3316, -1, 7931, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 193433976776908977580903, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.36.HH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.hh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298144
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.D', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2136, -1, 1679, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 26545672484844850689463, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.d1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298145
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8518, -1, 9794, -1], 'generators': [36046504782378446243165, 7483045598139117075108583, 10353350964776198454, 4016, 666765314598952356744, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.36.HI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.hi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298146
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [2373, -1, 7594, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.HJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.hj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HJ', 'subgroup_fusion': None, 'weyl_group': '10368.ea'}
  • id: 203298147
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6762, -1, 9165, -1], 'generators': [666765314598952356744, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 10800058359897420324819, 51679931000452400261118872, 4016, 734, 258589282126270880369007], 'label': '373248.cq.36.HK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.S', 'old_label': '36.hk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HK', 'subgroup_fusion': None, 'weyl_group': '3456.ct'}
  • id: 203298148
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1112, -1, 7142, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.HL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.hl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298149
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3357, -1, 7946, -1], 'generators': [242649307680826091159077314, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 36207, 117319218568009135195351680, 27870267667444473703, 15965, 734, 4370602533330072243012836], 'label': '373248.cq.36.HM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.hm1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298150
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3564, -1, 8020, -1], 'generators': [666765314598952356744, 1897582098352623447300986, 27870267667444473703, 242907805343243999651979714, 117319218568009135195351680, 15965, 4370602533330072243012836, 4016, 10353350964776198454, 734, 36207], 'label': '373248.cq.36.HN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.HN', 'old_label': '36.hn1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298151
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 18, 'diagramx': [4161, -1, 8234, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.HO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.I', 'old_label': '36.ho1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HO', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203298152
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 36, 'diagramx': [4966, -1, 8522, -1], 'generators': [242885327268586788638899934, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.HP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.HP', 'old_label': '36.hp1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HP', 'subgroup_fusion': None, 'weyl_group': '5184.jh'}
  • id: 203298153
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4849, -1, 8480, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.HQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.hq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298154
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3840, -1, 8119, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 666765314598952356744, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.HR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.hr1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HR', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298155
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.E', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2699, -1, 1880, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 666765314598952356744, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.e1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298156
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [1148, -1, 7155, -1], 'generators': [242995498694891355547411934, 372170772077095110067200, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 36207, 117319218568009135195351680, 15965, 4715718447999155805694358, 734], 'label': '373248.cq.36.HS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.hs1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298157
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3398, -1, 7961, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 193433976776908977580903, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.36.HT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.ht1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298158
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [4808, -1, 8465, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.HU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.hu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298159
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3802, -1, 8105, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.HV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.hv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HV', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298160
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [5004, -1, 8536, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 240898413676938578277253712, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 242759452459572650620167134, 258589282126270880369007, 734], 'label': '373248.cq.36.HW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.HW', 'old_label': '36.hw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HW', 'subgroup_fusion': None, 'weyl_group': '2916.ij'}
  • id: 203298161
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 9, 'diagramx': [21, -1, 6752, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.HX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.hx1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HX', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298162
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HY', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [6599, -1, 9106, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 10800058359897420324819, 84563389887161517883326872, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.HY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.D', 'old_label': '36.hy1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HY', 'subgroup_fusion': None, 'weyl_group': '62208.eg'}
  • id: 203298163
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.HZ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [8686, -1, 9854, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.HZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.hz1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.HZ', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298164
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5776, -1, 8812, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 4580772780878683543486358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.IA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.N', 'old_label': '36.ia1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IA', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298165
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [2342, -1, 7582, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.IB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.ib1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IB', 'subgroup_fusion': None, 'weyl_group': '10368.ea'}
  • id: 203298166
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1274, -1, 1370, -1], 'generators': [242740339337980757768504414, 666765314598952356744, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298167
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [6731, -1, 9154, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 10353350964776198454, 4016, 51679931000452400261118872, 117319218568009135195351680, 9954779013578883265246646, 258589282126270880332800, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.IC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Y', 'old_label': '36.ic1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IC', 'subgroup_fusion': None, 'weyl_group': '3456.ct'}
  • id: 203298168
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.ID', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 18, 'diagramx': [7717, -1, 9507, -1], 'generators': [36046504782378446243165, 10353350964776198454, 4016, 84563389887161517883326872, 117319218568009135195351680, 258589282126270880332800, 71018172064516963377772816, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.ID', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.id1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.ID', 'subgroup_fusion': None, 'weyl_group': '3456.cf'}
  • id: 203298169
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7748, -1, 9518, -1], 'generators': [36046504782378446243165, 54781710757737038140680278, 10353350964776198454, 4016, 7472625213345851622067488, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734, 193450033993018531276859], 'label': '373248.cq.36.IE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.IE', 'old_label': '36.ie1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IE', 'subgroup_fusion': None, 'weyl_group': '3456.cz'}
  • id: 203298170
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8763, -1, 9881, -1], 'generators': [36046504782378446243165, 10786190776954385951352, 1897582098352623447300986, 10353350964776198454, 4016, 67890226569244170515786880, 117319218568009135195351680, 258589282126270880332800, 66028572255642571978905878, 258589282126270880369007, 734], 'label': '373248.cq.36.IF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.O', 'old_label': '36.if1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298171
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [3439, -1, 7975, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 10353350964776198454, 4016, 10800058359897420324819, 193433976776908977580903, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.36.IG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.L', 'old_label': '36.ig1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298172
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 18, 'diagramx': [8560, -1, 9809, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 10786190776954385950368, 36207, 117319218568009135195351680, 15965, 92283277864743631814400, 4461685403427697919806358, 734], 'label': '373248.cq.36.IH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.C', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.M', 'old_label': '36.ih1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298173
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.II', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [6523, -1, 9079, -1], 'generators': [36046504782378446243165, 4016, 10800058359897420324819, 84563389887161517883326872, 232782189161754658461236184, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.II', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.ii1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.II', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298174
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [6007, -1, 8895, -1], 'generators': [36046504782378446243165, 4016, 232811471570261420372660213, 49792743228358540192983062, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.IJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.ij1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IJ', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298175
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [7856, -1, 9557, -1], 'generators': [36046504782378446243165, 4016, 10800058359897420324819, 84563285246391676595646524, 232782189161754658461236184, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.IK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.ik1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IK', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298176
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 9, 'diagramx': [5323, -1, 8650, -1], 'generators': [36046504782378446243165, 4016, 232811471570261420372660213, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 49792485380242663889482028, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.IL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.A', 'old_label': '36.il1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IL', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298177
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1481, -1, 1444, -1], 'generators': [242740339337980757768504414, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298178
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IM', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 18, 'diagramx': [8384, -1, 9746, -1], 'generators': [36046504782378446243165, 4016, 84563389887161517883326872, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 734, 4370602533330072243012836, 71019132953516912248762157], 'label': '373248.cq.36.IM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.J', 'old_label': '36.im1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IM', 'subgroup_fusion': None, 'weyl_group': '20736.dm'}
  • id: 203298179
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IN', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [7243, -1, 9337, -1], 'generators': [49792475885565611628472724, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 4370602533330072243012836, 10786190776954385951352, 4016, 71076512460673471255621037, 734, 242759452459572650620167134, 258589282126270880369007], 'label': '373248.cq.36.IN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.IN', 'old_label': '36.in1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298180
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IO', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [9076, -1, 9993, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10800058359897420324819, 51679931000452400261118872, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.IO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.io1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298181
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IP', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [637, -1, 6972, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 49792743228358540192983062, 10810155175402022052749, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.IP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.E', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.ip1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298182
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IQ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5823, -1, 8829, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 4379214888348412625856566, 7483053140030815731014400, 49792731313248154897759358, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.36.IQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.iq1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298183
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IR', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 9, 'diagramx': [5870, -1, 8846, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 10810155175402022052749, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 49792485380242663889482028, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.36.IR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.G', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.B', 'old_label': '36.ir1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298184
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IS', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 18, 'diagramx': [2202, -1, 7533, -1], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 677111509882365022368, 236147328990490050604800, 258589282126270880369007, 734, 54943621251477076384383280], 'label': '373248.cq.36.IS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.B', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Q', 'old_label': '36.is1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298185
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IT', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5051, -1, 8553, -1], 'generators': [36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 10796165968107052068744, 51679931000452400261118872, 7472635431620779203033939, 4016, 734, 258589282126270880369007], 'label': '373248.cq.36.IT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.Y', 'old_label': '36.it1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298186
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IU', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 18, 'diagramx': [6041, -1, 8907, -1], 'generators': [36046504782378446243165, 4016, 84563389887161517883326872, 117319218568009135195351680, 258589282126270880332800, 71018172064516963377772816, 27870267667444473703, 10804802497890614801573, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.36.IU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.W', 'old_label': '36.iu1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IU', 'subgroup_fusion': None, 'weyl_group': '20736.dk'}
  • id: 203298187
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IV', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 36, 'diagramx': [3695, -1, 8067, -1], 'generators': [36046504782378446243165, 242649297340365309600730385, 1888331578508473053943740, 4016, 117319218568009135195351680, 258589282126270880332800, 51537184015928195514176558, 4580772780878683543486358, 8723898851487973876800014, 258589282126270880369007, 734], 'label': '373248.cq.36.IV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.IV', 'old_label': '36.iv1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IV', 'subgroup_fusion': None, 'weyl_group': '10368.kc'}
  • id: 203298188
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.H', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 6, 'diagramx': [620, -1, 1136, -1], 'generators': [242740339337980757768504414, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 1914400263459198931291204, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.h1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298189
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IW', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 18, 'diagramx': [6634, -1, 9119, -1], 'generators': [36046504782378446243165, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 34262015121271735175723672, 734, 4370602533330072243012836, 1897326631883238412953614], 'label': '373248.cq.36.IW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.U', 'old_label': '36.iw1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IW', 'subgroup_fusion': None, 'weyl_group': '20736.dj'}
  • id: 203298190
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '36.IX', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 18, 'diagramx': [5110, -1, 8574, -1], 'generators': [36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 51679931000452400261118872, 1897326631883238412953614, 4016, 8723908218181540968460816, 734, 258589282126270880369007], 'label': '373248.cq.36.IX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.D', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.S', 'old_label': '36.ix1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.IX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298191
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '72.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '23328.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 896, -1, 7830], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 10180498751286404889600, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.72.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.A', 'subgroup_fusion': None, 'weyl_group': '23328.o'}
  • id: 203298192
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '72.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '373248.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1704, -1, 8027], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.72.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '72.b1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.B', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203298193
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '144.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '23328.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1831, -1, 8451], 'generators': [36046504782378446243165, 242740339337980757768504414, 4016, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 258589282126270880369007, 236147328990490050604800, 734], 'label': '373248.cq.144.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '144.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '144.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.A', 'subgroup_fusion': None, 'weyl_group': '23328.o'}
  • id: 203298194
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '144.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '373248.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 987, -1, 8245], 'generators': [36046504782378446243165, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.144.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '144.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '144.b1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.B', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203298195
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '288.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '288.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 738, -1, 8596], 'generators': [4016, 258589282126270880369007, 36046504782378446243165, 734, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800, 242740339337980757768504414], 'label': '373248.cq.288.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '288.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '288.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.A', 'subgroup_fusion': None, 'weyl_group': '288.889'}
  • id: 203298196
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '288.B', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '41472.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 1394, -1, 8755], 'generators': [36046504782378446243165, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734, 4370602533330072243012836], 'label': '373248.cq.288.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '288.B', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '288.b1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.B', 'subgroup_fusion': None, 'weyl_group': '41472.ca'}
  • id: 203298197
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '512.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '41472.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [372170772077095110067200, 206152434658070540088785786, 117608137974121142996081280, 92283277864743631814400, 201783185943699306383539200, 242995482637382594617370075], 'label': '373248.cq.512.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.Z', 'old_label': '512.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.a1', 'subgroup_fusion': None, 'weyl_group': '1024.djt'}
  • id: 203298198
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '729.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 729, 'diagramx': None, 'generators': [250223116536349017981299928, 26149, 155759578506933168842321753, 19090, 15965, 36933, 237065348795522036239697747, 372166271271066922701270, 259723136127930036736470], 'label': '373248.cq.729.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '729.a1', 'old_label': '729.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '729.a1', 'subgroup_fusion': None, 'weyl_group': '128.1755'}
  • id: 203298199
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2.F', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.F', 'coset_action_label': None, 'count': 1, 'diagramx': [98, 3551, 50, 1095], 'generators': [1897582098352623447300986, 49792475885565611628472724, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.2.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.F', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.F', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203298200
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.I', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [702, -1, 1165, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.i1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298201
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '1152.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '23328.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 859, -1, 8953], 'generators': [242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800, 10180498751286404889600], 'label': '373248.cq.1152.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1152.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1152.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152.A', 'subgroup_fusion': None, 'weyl_group': '23328.o'}
  • id: 203298202
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2304.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '23328.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 920, -1, 9166], 'generators': [242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 7483053140030815731014400, 236147328990490050604800], 'label': '373248.cq.2304.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2304.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2304.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2304.A', 'subgroup_fusion': None, 'weyl_group': '23328.o'}
  • id: 203298203
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2592.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '288.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 993, -1, 9412], 'generators': [4016, 258589282126270880369007, 36046504782378446243165, 734, 117319218568009135195351680, 258589282126270880332800], 'label': '373248.cq.2592.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2592.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2592.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2592.A', 'subgroup_fusion': None, 'weyl_group': '288.889'}
  • id: 203298204
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4608.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '288.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4608.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 665, -1, 9604], 'generators': [242740339337980757768503680, 117319218568009135195351680, 258589282126270880332800, 236147328990490050604800], 'label': '373248.cq.4608.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4608.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4608.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4608.A', 'subgroup_fusion': None, 'weyl_group': '288.889'}
  • id: 203298205
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '23328.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '72.A', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '23328.A', 'coset_action_label': None, 'count': 1, 'diagramx': [-1, 665, -1, 9725], 'generators': [4016, 15965, 734, 36207], 'label': '373248.cq.23328.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '23328.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '23328.a1.N', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23328.A', 'subgroup_fusion': None, 'weyl_group': '72.40'}
  • id: 203298208
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.J', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1314, -1, 1385, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 26545672484844850689463, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.j1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298209
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.K', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1834, -1, 1571, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.k1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298210
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.L', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '1152.A', 'coset_action_label': None, 'count': 6, 'diagramx': [662, -1, 1151, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.l1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298211
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.M', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [579, -1, 1121, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 4016, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 26545672484844850689463, 4580772780878683543486358, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.m1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298212
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.N', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1392, -1, 1413, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 26545672484844850689463, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.n1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298213
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.O', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1353, -1, 1399, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 666765314598952356744, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 36041145660909331907263, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.o1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298214
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.P', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2304.A', 'coset_action_label': None, 'count': 6, 'diagramx': [533, -1, 1105, -1], 'generators': [242740339337980757768504414, 1897582098352623447300986, 10353350964776198454, 4016, 10786190776954385950368, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 36662172020034661473365, 236147328990490050604800, 258589282126270880369007, 734], 'label': '373248.cq.12.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.p1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298215
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.Q', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2609, -1, 1848, -1], 'generators': [36046504782378446243165, 10353350964776198454, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.12.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.q1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Q', 'subgroup_fusion': None, 'weyl_group': '20736.nn'}
  • id: 203298216
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.R', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1876, -1, 1585, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.12.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.r1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298217
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '2.G', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2.G', 'coset_action_label': None, 'count': 1, 'diagramx': [141, 4948, 66, 1435], 'generators': [1897582098352623447300986, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4370602533330072243012836, 49792731313248154897759358, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.2.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.G', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.G', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203298218
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.S', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2322, -1, 1745, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 666765314598952356744, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.s1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298219
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.T', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2090, -1, 1662, -1], 'generators': [27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 10800058359897420324819, 4370602533330072243012836, 1897326631883238412953614, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.12.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.t1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298220
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.U', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [314, -1, 1026, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 10353350964776198454, 666765314598952356744, 4016, 7472625213345851622067488, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.12.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.u1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.U', 'subgroup_fusion': None, 'weyl_group': '10368.sc'}
  • id: 203298221
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.V', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2041, -1, 1645, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 666765314598952356744, 4016, 7472625213345851622067488, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 734], 'label': '373248.cq.12.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.v1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298222
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.W', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [177, -1, 978, -1], 'generators': [36046504782378446243165, 1888331578508473053943740, 10353350964776198454, 666765314598952356744, 4016, 65961173821044044916173156, 193433976776908977580903, 67848626505895335316702183, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734], 'label': '373248.cq.12.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.W', 'old_label': '12.w1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298223
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.X', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [126, -1, 959, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.12.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.x1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298224
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.Y', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2558, -1, 1830, -1], 'generators': [666765314598952356744, 4580772780878683543486358, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 4016, 10353350964776198454, 1888331578508473053943740, 734, 258589282126270880369007], 'label': '373248.cq.12.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.y1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298225
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.Z', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '2592.A', 'coset_action_label': None, 'count': 12, 'diagramx': [2654, -1, 1864, -1], 'generators': [36046504782378446243165, 10796165968107052068744, 242649307680826091159077314, 240878185671389843624908190, 666765314598952356744, 4016, 242740350645075050103706434, 117319218568009135195351680, 258589282126270880332800, 258589282126270880369007, 734, 1888344351351519630912119], 'label': '373248.cq.12.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.Z', 'old_label': '12.z1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298226
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BA', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [2278, -1, 1730, -1], 'generators': [36046504782378446243165, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734, 1888344351351519630912119], 'label': '373248.cq.12.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.ba1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298227
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BB', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [910, -1, 1240, -1], 'generators': [242740339337980757768504414, 36046504782378446243165, 10796165968107052068744, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 4580772780878683543486358, 236147328990490050604800, 258589282126270880369007, 734, 1888344351351519630912119], 'label': '373248.cq.12.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bb1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298228
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '4.A', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '4.A', 'coset_action_label': None, 'count': 1, 'diagramx': [295, 4316, 217, 3373], 'generators': [242740339337980757768504414, 36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.4.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': [], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.A', 'subgroup_fusion': None, 'weyl_group': '373248.cq'}
  • id: 203298229
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BC', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [747, -1, 1181, -1], 'generators': [666765314598952356744, 4580772780878683543486358, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 10786190776954385950368, 4016, 10353350964776198454, 734, 258589282126270880369007], 'label': '373248.cq.12.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bc1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298230
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BD', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2507, -1, 1812, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 10800058359897420324819, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.12.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bd1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298231
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BE', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.B', 'coset_action_label': None, 'count': 2, 'diagramx': [482, -1, 1087, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 10800058359897420324819, 4370602533330072243012836, 4016, 10353350964776198454, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.12.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.A', 'old_label': '12.be1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298232
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BF', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1564, -1, 1474, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 10353350964776198454, 4016, 10800058359897420324819, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 258589282126270880369007, 1897326631883238412953614, 4370602533330072243012836, 734], 'label': '373248.cq.12.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bf1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298233
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BG', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1992, -1, 1627, -1], 'generators': [4580772780878683543486358, 36046504782378446243165, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 236147328990490050604800, 10786190776954385950368, 1897326631883238412953614, 4016, 10353350964776198454, 734, 258589282126270880369007], 'label': '373248.cq.12.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bg1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298234
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BH', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.A', 'coset_action_label': None, 'count': 6, 'diagramx': [1064, -1, 1295, -1], 'generators': [36046504782378446243165, 27870267667444473703, 258589282126270880332800, 117319218568009135195351680, 242740339337980757768504414, 1897326631883238412953614, 4016, 10353350964776198454, 8723908218181540968460816, 734, 193433976776908977580903, 258589282126270880369007], 'label': '373248.cq.12.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bh1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298235
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BI', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [866, -1, 1224, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 666765314598952356744, 4016, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bi1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298236
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BJ', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '288.B', 'coset_action_label': None, 'count': 6, 'diagramx': [230, -1, 996, -1], 'generators': [36046504782378446243165, 242649307680826091159077314, 1897582098352623447300986, 666765314598952356744, 4016, 117319218568009135195351680, 258589282126270880332800, 10804802497890614801573, 27870267667444473703, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bj1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298237
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BK', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '144.B', 'coset_action_label': None, 'count': 6, 'diagramx': [1696, -1, 1521, -1], 'generators': [36046504782378446243165, 1897582098352623447300986, 4016, 10800058359897420324819, 193433976776908977580903, 117319218568009135195351680, 258589282126270880332800, 27870267667444473703, 677111509882365022368, 258589282126270880369007, 4370602533330072243012836, 734], 'label': '373248.cq.12.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.A', 'old_label': '12.bk1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 203298238
    {'ambient': '373248.cq', 'aut_centralizer_order': None, 'aut_label': '12.BL', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': '72.A', 'coset_action_label': None, 'count': 6, 'diagramx': [2458, -1, 1794, -1], 'generators': [666765314598952356744, 27870267667444473703, 36046504782378446243165, 258589282126270880332800, 10804802497890614801573, 117319218568009135195351680, 242740339337980757768504414, 4016, 734, 193433976776908977580903, 7483045598139117075108583, 258589282126270880369007], 'label': '373248.cq.12.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.B', 'old_label': '12.bl1', 'projective_image': '373248.cq', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.BL', 'subgroup_fusion': None, 'weyl_group': None}