Abstract group data - 839808.qk

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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': '32.36', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[275318947650928834169370582228286913998050, 117635357188165707730329065566958974863066, 83559598876532155566552839258606580795160], [275318947650926864325348169295669730720598, 127647213649311468891654282401125697551416, 83559598876530901742563600410382455642249], [275318947650929251756945874495142870709078, 148610091740408401450632790763087534859926, 31348116926918076396469184220291297628809], [202735358549706978216300127582099678507433, 138849515935841730683775063786685431651396, 53151648156188900741688825010845022787725], [275318947650926446737772877028813774562530, 169258740665670275729248342843049712140453, 41959123099521243591548440475076614938030], [275318947650929251756945874495142870570388, 107866641047731747409046671965812978285374, 83559598876530528877802174744586769288479], [275318947650926864325348169295669730720598, 179896076367642866833928733575928035068639, 63197481926001101791912541787412878349449], [275318947650929251756945874495142870570388, 96361229022077003352282930646477740472480, 31348116926918076396469183096033311957279], [223105402060288230954200619853128995746530, 117635357188164574273329520366210611594250, 22169045179089160182312134677036902635800], [232856759788626678777519715295241171874530, 117635357188165707730329066691715006210475, 83559598876532155566552838293357124378030], [203317157275538584253838725025748121022240, 106998564724046834134803265468048432719066, 83559598876530901742563600788394232630232], [275318947650928491188362860496466320983840, 106998564724046834134803265783192207664650, 83559598876530901742563600410382455964632], [193565799547198630085103553305132888949078, 128212180233869185591183597739957369359275, 31348116926919703085219847987877131369609], [275318947650929251756945874495142870789573, 149486308399958307505203175147849400624650, 83559598876531782701791413592810894492632], [275318947650928491188362860496466321077078, 117635357188165707730329068345662069450305, 83559598876532155566552839258606580662409], [275318947650926446737772877028813774378388, 117635357188165707730329066691715006076996, 83559598876532155566552839258606580616479], [275318947650928491188362860496466321122530, 128212180233870691938745496866774006295050, 31348116926917315648155655634654100250030], [244623946129795467252586156400713153168681, 149486308399957426421167366985715146452545, 31348116926917658835767727913578514667800], [233717206113491340780252541795879064618477, 117905608481707214988185114117868288957953, 32789523248074439882305553182970714814563], [233717206113490086800180231322881782551799, 137407789453875006315515120948094777958424, 938612381543275655205942106606664426579]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 33592320, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': 120.0, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 162, 1, 1], [2, 324, 2, 1], [2, 6561, 1, 1], [3, 32, 5, 1], [3, 64, 10, 1], [3, 128, 5, 1], [3, 128, 20, 2], [4, 162, 2, 1], [4, 6561, 2, 1], [4, 13122, 1, 1], [4, 13122, 2, 1], [4, 26244, 2, 1], [6, 2592, 5, 1], [6, 5184, 10, 1], [8, 6561, 2, 2], [8, 13122, 1, 2], [8, 13122, 2, 2], [8, 26244, 4, 1], [12, 2592, 10, 1], [16, 6561, 4, 2], [16, 13122, 2, 2], [16, 13122, 4, 2], [16, 26244, 4, 2]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 162, 1], [2, 324, 2], [2, 6561, 1], [3, 32, 5], [3, 64, 10], [3, 128, 45], [4, 162, 2], [4, 6561, 2], [4, 13122, 3], [4, 26244, 2], [6, 2592, 5], [6, 5184, 10], [8, 6561, 4], [8, 13122, 6], [8, 26244, 4], [12, 2592, 10], [16, 6561, 8], [16, 13122, 12], [16, 26244, 8]], 'center_label': '1.1', 'center_order': 1, 'central_product': None, 'central_quotient': '839808.qk', 'commutator_count': 1, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['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', '3.1', '3.1'], 'composition_length': 15, 'conjugacy_classes_known': True, 'counter': 427, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': [[1, 1, 1, 1], [2, 162, 1, 1], [2, 324, 1, 2], [2, 6561, 1, 1], [3, 32, 1, 5], [3, 64, 1, 10], [3, 128, 1, 45], [4, 162, 2, 1], [4, 6561, 2, 1], [4, 13122, 1, 1], [4, 13122, 2, 1], [4, 26244, 1, 2], [6, 2592, 1, 5], [6, 5184, 1, 10], [8, 6561, 4, 1], [8, 13122, 2, 3], [8, 26244, 2, 2], [12, 2592, 2, 5], [16, 6561, 8, 1], [16, 13122, 4, 1], [16, 13122, 8, 1], [16, 26244, 4, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 48, 'exponents_of_order': [8, 7], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3], 'faithful_reps': [[32, 0, 10], [32, 1, 10], [64, 1, 20], [128, 1, 45]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '839808.qk', 'hash': 4102605281900048901, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': [16, 16, 8], 'inner_gens': [[275318947650928834169370582228286913998050, 169891817004510007814400592925436183169337, 31348116926916525222692773662333399526872], [223947931084670710640459657083405445307320, 117635357188165707730329065566958974863066, 21300737289658406423526393775679474630117], [203317157275538584253838726528515928949078, 180226042967357788610424626286171140065144, 83559598876532155566552839258606580795160]], 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 839808, 'inner_split': None, 'inner_tex': 'C_3^8:D_8.C_8', 'inner_used': None, 'irrC_degree': 32, 'irrQ_degree': 32, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': [[1, 32], [2, 24], [32, 20], [64, 20], [128, 45]], 'label': '839808.qk', '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': 'C3^8:D8.C8', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 13, 0, 11, 0, 7, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 32, 'number_characteristic_subgroups': 27, 'number_conjugacy_classes': 141, 'number_divisions': 102, 'number_normal_subgroups': 47, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 839808, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 7371], [3, 6560], [4, 105300], [6, 64800], [8, 209952], [12, 25920], [16, 419904]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '40.12', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 40, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2\\times F_5', 'pc_rank': None, 'perfect': False, 'permutation_degree': 36, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 8], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 8], [2, 6], [4, 5], [8, 1], [16, 2], [32, 10], [64, 25], [128, 45]], 'representations': {'PC': {'code': '37644500002253878924210271251038813467509862068638075311680212856996781714443934946083363157362031353812425823857588390354802786251838356927598825188103876799654051083282746977848831467775694247400698911820482068364927807069698385837346039969976112086553170001129600173115981458108529584583166555524935622324557774496941620818588296912830865396496500798247436984743363542919837614443907043589695720606735171831361996500167802492942127087107503484503366213417561812771929705800266784910049535', 'gens': [1, 4, 5, 8, 9, 10, 11, 12, 13, 14, 15], 'pres': [15, -2, -2, -2, -2, -2, -2, -2, -3, 3, 3, 3, 3, 3, 3, 3, 30, 76, 975632, 40817763, 22759938, 6165273, 1985328, 58035604, 8083819, 6177934, 4140499, 214, 3879365, 30304820, 228275, 9281930, 260, 46455366, 15103221, 17073876, 1178571, 26757127, 675862, 633637, 7770292, 84547, 79282, 577, 7827848, 34914263, 25012838, 356453, 6256508, 2185463, 1718, 27667209, 13824024, 8683239, 5083254, 2182869, 859884, 5499, 359050, 15544345, 4123720, 12373735, 712870, 196105, 17920, 16957451, 47577626, 33356201, 466616, 8107271, 2914646, 58421, 87085452, 1984347, 2770602, 11338137, 84312, 210687, 189642, 69108493, 51381148, 39889963, 17304058, 9876793, 3115648, 612463, 15177614, 74275229, 42199244, 6242459, 671474, 2615489, 1968404]}, 'Perm': {'d': 36, 'gens': [275318947650928834169370582228286913998050, 117635357188165707730329065566958974863066, 83559598876532155566552839258606580795160]}}, 'schur_multiplier': [2, 2], 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 8], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 27, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_3^8:D_8.C_8', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 169706584
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 427, 'group_order': 839808, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 169706637
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 427, 'group_order': 839808, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 52873255483446510768284557130098179360000, 'size': 162}
  • id: 169706648
    {'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 427, 'group_order': 839808, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 328879330404968705984823747368197006097420, 'size': 324}
  • id: 169706659
    {'aut_label': '2B', 'centralizer': None, 'counter': 4, 'group_counter': 427, 'group_order': 839808, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 361364946006790237425966337942164470780156, 'size': 324}
  • id: 169706670
    {'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 427, 'group_order': 839808, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 42244603355199797269658767514461988936905, 'size': 6561}
  • id: 169706681
    {'aut_label': '3A', 'centralizer': None, 'counter': 6, 'group_counter': 427, 'group_order': 839808, 'label': '3A', 'order': 3, 'powers': [6, 1], 'representative': 2935368367171969558782090690, 'size': 32}
  • id: 169706692
    {'aut_label': '3A', 'centralizer': None, 'counter': 7, 'group_counter': 427, 'group_order': 839808, 'label': '3B', 'order': 3, 'powers': [7, 1], 'representative': 1677180089782186478641371574, 'size': 32}
  • id: 169706703
    {'aut_label': '3A', 'centralizer': None, 'counter': 8, 'group_counter': 427, 'group_order': 839808, 'label': '3C', 'order': 3, 'powers': [8, 1], 'representative': 84489206710397046975931772513776972953600, 'size': 32}
  • id: 169706714
    {'aut_label': '3A', 'centralizer': None, 'counter': 9, 'group_counter': 427, 'group_order': 839808, 'label': '3D', 'order': 3, 'powers': [9, 1], 'representative': 2935368367171969558781952000, 'size': 32}
  • id: 169706585
    {'aut_label': '3A', 'centralizer': None, 'counter': 10, 'group_counter': 427, 'group_order': 839808, 'label': '3E', 'order': 3, 'powers': [10, 1], 'representative': 806634631152493057474881987, 'size': 32}
  • id: 169706596
    {'aut_label': '3F', 'centralizer': None, 'counter': 11, 'group_counter': 427, 'group_order': 839808, 'label': '3F', 'order': 3, 'powers': [11, 1], 'representative': 63822384498269430727129922712586708100997, 'size': 64}
  • id: 169706607
    {'aut_label': '3F', 'centralizer': None, 'counter': 12, 'group_counter': 427, 'group_order': 839808, 'label': '3G', 'order': 3, 'powers': [12, 1], 'representative': 63822384498269430727129922290100670747574, 'size': 64}
  • id: 169706618
    {'aut_label': '3F', 'centralizer': None, 'counter': 13, 'group_counter': 427, 'group_order': 839808, 'label': '3H', 'order': 3, 'powers': [13, 1], 'representative': 52578829318050384335924321350047799952884, 'size': 64}
  • id: 169706629
    {'aut_label': '3F', 'centralizer': None, 'counter': 14, 'group_counter': 427, 'group_order': 839808, 'label': '3I', 'order': 3, 'powers': [14, 1], 'representative': 31912007105919025921961495164354560357364, 'size': 64}
  • id: 169706632
    {'aut_label': '3F', 'centralizer': None, 'counter': 15, 'group_counter': 427, 'group_order': 839808, 'label': '3J', 'order': 3, 'powers': [15, 1], 'representative': 63822384498268172376689883188050097348997, 'size': 64}
  • id: 169706633
    {'aut_label': '3F', 'centralizer': None, 'counter': 16, 'group_counter': 427, 'group_order': 839808, 'label': '3K', 'order': 3, 'powers': [16, 1], 'representative': 84489206710397853610562922739327093482484, 'size': 64}
  • id: 169706634
    {'aut_label': '3F', 'centralizer': None, 'counter': 17, 'group_counter': 427, 'group_order': 839808, 'label': '3L', 'order': 3, 'powers': [17, 1], 'representative': 20666822212129681233873041020157952080884, 'size': 64}
  • id: 169706635
    {'aut_label': '3F', 'centralizer': None, 'counter': 18, 'group_counter': 427, 'group_order': 839808, 'label': '3M', 'order': 3, 'powers': [18, 1], 'representative': 20666822212131358413962823583340260315587, 'size': 64}
  • id: 169706636
    {'aut_label': '3F', 'centralizer': None, 'counter': 19, 'group_counter': 427, 'group_order': 839808, 'label': '3N', 'order': 3, 'powers': [19, 1], 'representative': 63822384498270301110425901195670449013174, 'size': 64}
  • id: 169706638
    {'aut_label': '3F', 'centralizer': None, 'counter': 20, 'group_counter': 427, 'group_order': 839808, 'label': '3O', 'order': 3, 'powers': [20, 1], 'representative': 20666822212132616602240213701266026640884, 'size': 64}
  • id: 169706639
    {'aut_label': '3P', 'centralizer': None, 'counter': 21, 'group_counter': 427, 'group_order': 839808, 'label': '3P', 'order': 3, 'powers': [21, 1], 'representative': 376703666887107, 'size': 128}
  • id: 169706640
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    {'aut_label': '12A1', 'centralizer': None, 'counter': 105, 'group_counter': 427, 'group_order': 839808, 'label': '12A-1', 'order': 12, 'powers': [75, 67], 'representative': 32476430452623448421133487617851441076480, 'size': 2592}
  • id: 169706592
    {'aut_label': '12A1', 'centralizer': None, 'counter': 106, 'group_counter': 427, 'group_order': 839808, 'label': '12B1', 'order': 12, 'powers': [76, 66], 'representative': 41672039672629717160907796265619555368374, 'size': 2592}
  • id: 169706593
    {'aut_label': '12A1', 'centralizer': None, 'counter': 107, 'group_counter': 427, 'group_order': 839808, 'label': '12B-1', 'order': 12, 'powers': [76, 67], 'representative': 72654371322886496055140447305456893921987, 'size': 2592}
  • id: 169706594
    {'aut_label': '12A1', 'centralizer': None, 'counter': 108, 'group_counter': 427, 'group_order': 839808, 'label': '12C1', 'order': 12, 'powers': [77, 67], 'representative': 84489206710398259383917407527763031217802, 'size': 2592}
  • id: 169706595
    {'aut_label': '12A1', 'centralizer': None, 'counter': 109, 'group_counter': 427, 'group_order': 839808, 'label': '12C-1', 'order': 12, 'powers': [77, 66], 'representative': 42540659234167466130839615592637821998570, 'size': 2592}
  • id: 169706597
    {'aut_label': '12A1', 'centralizer': None, 'counter': 110, 'group_counter': 427, 'group_order': 839808, 'label': '12D1', 'order': 12, 'powers': [78, 66], 'representative': 62885655182452072830967359820721455948800, 'size': 2592}
  • id: 169706598
    {'aut_label': '12A1', 'centralizer': None, 'counter': 111, 'group_counter': 427, 'group_order': 839808, 'label': '12D-1', 'order': 12, 'powers': [78, 67], 'representative': 21899607406918464212717058407514160800000, 'size': 2592}
  • id: 169706599
    {'aut_label': '12A1', 'centralizer': None, 'counter': 112, 'group_counter': 427, 'group_order': 839808, 'label': '12E1', 'order': 12, 'powers': [79, 66], 'representative': 12130891266483170443085341229357556878787, 'size': 2592}
  • id: 169706600
    {'aut_label': '12A1', 'centralizer': None, 'counter': 113, 'group_counter': 427, 'group_order': 839808, 'label': '12E-1', 'order': 12, 'powers': [79, 67], 'representative': 62017578858767478438075862181941632891574, 'size': 2592}
  • id: 169706601
    {'aut_label': '16A1', 'centralizer': None, 'counter': 114, 'group_counter': 427, 'group_order': 839808, 'label': '16A1', 'order': 16, 'powers': [92, 116], 'representative': 193278461195235434685290501632701896166280, 'size': 6561}
  • id: 169706602
    {'aut_label': '16A-1', 'centralizer': None, 'counter': 115, 'group_counter': 427, 'group_order': 839808, 'label': '16A-1', 'order': 16, 'powers': [93, 117], 'representative': 223105402060287888470003649855705637916173, 'size': 6561}
  • id: 169706603
    {'aut_label': '16A1', 'centralizer': None, 'counter': 116, 'group_counter': 427, 'group_order': 839808, 'label': '16A3', 'order': 16, 'powers': [90, 121], 'representative': 213372694251677522513460755727653813141730, 'size': 6561}
  • id: 169706604
    {'aut_label': '16A-1', 'centralizer': None, 'counter': 117, 'group_counter': 427, 'group_order': 839808, 'label': '16A-3', 'order': 16, 'powers': [91, 120], 'representative': 201805199007573139461348552781610747117144, 'size': 6561}
  • id: 169706605
    {'aut_label': '16A-1', 'centralizer': None, 'counter': 118, 'group_counter': 427, 'group_order': 839808, 'label': '16A5', 'order': 16, 'powers': [91, 115], 'representative': 265924149182511010539934339909766629149558, 'size': 6561}
  • id: 169706606
    {'aut_label': '16A1', 'centralizer': None, 'counter': 119, 'group_counter': 427, 'group_order': 839808, 'label': '16A-5', 'order': 16, 'powers': [90, 114], 'representative': 254356653938404161150144846841321263715229, 'size': 6561}
  • id: 169706608
    {'aut_label': '16A-1', 'centralizer': None, 'counter': 120, 'group_counter': 427, 'group_order': 839808, 'label': '16A7', 'order': 16, 'powers': [93, 118], 'representative': 244623946129797483010919044947231928916829, 'size': 6561}
  • id: 169706609
    {'aut_label': '16A1', 'centralizer': None, 'counter': 121, 'group_counter': 427, 'group_order': 839808, 'label': '16A-7', 'order': 16, 'powers': [92, 119], 'representative': 274450886994849814666158024886917417227453, 'size': 6561}
  • id: 169706610
    {'aut_label': '16B1', 'centralizer': None, 'counter': 122, 'group_counter': 427, 'group_order': 839808, 'label': '16B1', 'order': 16, 'powers': [93, 124], 'representative': 274163548642885456030065523764001558767373, 'size': 13122}
  • id: 169706611
    {'aut_label': '16B-1', 'centralizer': None, 'counter': 123, 'group_counter': 427, 'group_order': 839808, 'label': '16B-1', 'order': 16, 'powers': [92, 125], 'representative': 263840127772658372418900195735240896487256, 'size': 13122}
  • id: 169706612
    {'aut_label': '16B1', 'centralizer': None, 'counter': 124, 'group_counter': 427, 'group_order': 839808, 'label': '16B3', 'order': 16, 'powers': [91, 122], 'representative': 212139153599063371747239092601369805394777, 'size': 13122}
  • id: 169706613
    {'aut_label': '16B-1', 'centralizer': None, 'counter': 125, 'group_counter': 427, 'group_order': 839808, 'label': '16B-3', 'order': 16, 'powers': [90, 123], 'representative': 222507288939322747059198354957765281771040, 'size': 13122}
  • id: 169706614
    {'aut_label': '16C1', 'centralizer': None, 'counter': 126, 'group_counter': 427, 'group_order': 839808, 'label': '16C1', 'order': 16, 'powers': [94, 128], 'representative': 212433834663314401031615745230028538789354, 'size': 13122}
  • id: 169706615
    {'aut_label': '16C-1', 'centralizer': None, 'counter': 127, 'group_counter': 427, 'group_order': 839808, 'label': '16C-1', 'order': 16, 'powers': [95, 129], 'representative': 253489119783030680629257003853287308088233, 'size': 13122}
  • id: 169706616
    {'aut_label': '16C1', 'centralizer': None, 'counter': 128, 'group_counter': 427, 'group_order': 839808, 'label': '16C3', 'order': 16, 'powers': [95, 133], 'representative': 244623946129795407018564681460152826705440, 'size': 13122}
  • id: 169706617
    {'aut_label': '16C-1', 'centralizer': None, 'counter': 129, 'group_counter': 427, 'group_order': 839808, 'label': '16C-3', 'order': 16, 'powers': [94, 132], 'representative': 202448028154718620524792344336607856641383, 'size': 13122}
  • id: 169706619
    {'aut_label': '16C-1', 'centralizer': None, 'counter': 130, 'group_counter': 427, 'group_order': 839808, 'label': '16C5', 'order': 16, 'powers': [94, 127], 'representative': 233430368823570132036512704891899232515430, 'size': 13122}
  • id: 169706620
    {'aut_label': '16C1', 'centralizer': None, 'counter': 131, 'group_counter': 427, 'group_order': 839808, 'label': '16C-5', 'order': 16, 'powers': [95, 126], 'representative': 193565799547197779325534592379480349724201, 'size': 13122}
  • id: 169706621
    {'aut_label': '16C-1', 'centralizer': None, 'counter': 132, 'group_counter': 427, 'group_order': 839808, 'label': '16C7', 'order': 16, 'powers': [95, 130], 'representative': 275630782104494925934080776889435438933106, 'size': 13122}
  • id: 169706622
    {'aut_label': '16C1', 'centralizer': None, 'counter': 133, 'group_counter': 427, 'group_order': 839808, 'label': '16C-7', 'order': 16, 'powers': [94, 131], 'representative': 223383506420853031756187612588911180254653, 'size': 13122}
  • id: 169706623
    {'aut_label': '16D1', 'centralizer': None, 'counter': 134, 'group_counter': 427, 'group_order': 839808, 'label': '16D1', 'order': 16, 'powers': [90, 136], 'representative': 138563468038431835513251251372906124054523, 'size': 26244}
  • id: 169706624
    {'aut_label': '16D-1', 'centralizer': None, 'counter': 135, 'group_counter': 427, 'group_order': 839808, 'label': '16D-1', 'order': 16, 'powers': [91, 137], 'representative': 126770996989760892772071312824214370738399, 'size': 26244}
  • id: 169706625
    {'aut_label': '16D1', 'centralizer': None, 'counter': 136, 'group_counter': 427, 'group_order': 839808, 'label': '16D3', 'order': 16, 'powers': [92, 134], 'representative': 96031262422358918111704301095162751182695, 'size': 26244}
  • id: 169706626
    {'aut_label': '16D-1', 'centralizer': None, 'counter': 137, 'group_counter': 427, 'group_order': 839808, 'label': '16D-3', 'order': 16, 'powers': [93, 135], 'representative': 179582161535285966301049121077459110345744, 'size': 26244}
  • id: 169706627
    {'aut_label': '16D1', 'centralizer': None, 'counter': 138, 'group_counter': 427, 'group_order': 839808, 'label': '16E1', 'order': 16, 'powers': [92, 140], 'representative': 97543483573594461700437960704162716694544, 'size': 26244}
  • id: 169706628
    {'aut_label': '16D-1', 'centralizer': None, 'counter': 139, 'group_counter': 427, 'group_order': 839808, 'label': '16E-1', 'order': 16, 'powers': [93, 141], 'representative': 137981439612158862403065205055995480219866, 'size': 26244}
  • id: 169706630
    {'aut_label': '16D1', 'centralizer': None, 'counter': 140, 'group_counter': 427, 'group_order': 839808, 'label': '16E3', 'order': 16, 'powers': [90, 138], 'representative': 118503976749705083650850318219355083251959, 'size': 26244}
  • id: 169706631
    {'aut_label': '16D-1', 'centralizer': None, 'counter': 141, 'group_counter': 427, 'group_order': 839808, 'label': '16E-3', 'order': 16, 'powers': [91, 139], 'representative': 107580601665243463752529257592189770599899, 'size': 26244}
• group 839808.qk does not appear in gps_qchar
• group 839808.qk 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: 257282163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 839808, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '839808.qk.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '839808.qk', 'subgroup_hash': None, 'subgroup_order': 839808, 'subgroup_tex': 'C_3^8:D_8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': '419904.mt', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:D_4.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 257282196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': '419904.nc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282207
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.C_4.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 257282218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': '419904.mt', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:D_4.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 419904, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': None, 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8.(C_8.C_8)', 'supersolvable': False, 'sylow': 0}
  • id: 257282227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 419904, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': '419904.nc', 'subgroup_hash': None, 'subgroup_order': 419904, 'subgroup_tex': 'C_3^8:C_8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282228
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282164
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': '209952.ma', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_2\\times C_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 257282165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': '209952.lz', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:\\OD_{32}', 'supersolvable': False, 'sylow': 0}
  • id: 257282166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': '209952.lv', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:D_4.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': '209952.lp', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_2\\times C_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 257282168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': '209952.lv', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:D_4.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': '209952.lz', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:\\OD_{32}', 'supersolvable': False, 'sylow': 0}
  • id: 257282170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.lj', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:C_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.ln', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:C_8.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 209952, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.lj', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:C_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 209952, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '209952.ly', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8.D_8:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.L', 'outer_equivalence': False, 'perfect': False, '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': '209952.ma', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_2\\times C_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 257282176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.M', 'outer_equivalence': False, 'perfect': False, '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': '209952.lz', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:\\OD_{32}', 'supersolvable': False, 'sylow': 0}
  • id: 257282177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.N', 'outer_equivalence': False, 'perfect': False, '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': '209952.lz', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:\\OD_{32}', 'supersolvable': False, 'sylow': 0}
  • id: 257282178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.O', 'outer_equivalence': False, 'perfect': False, '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': '209952.ma', 'subgroup_hash': None, 'subgroup_order': 209952, 'subgroup_tex': 'C_3^8:(C_2\\times C_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 257282179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 257282180
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 257282181
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 257282182
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, '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': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282183
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, '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': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bo', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.D_4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bj', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bj', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bo', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.D_4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bu', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:D_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 104976, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 104976, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '104976.bv', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:Q_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.N', 'outer_equivalence': False, 'perfect': False, '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': '104976.bj', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.O', 'outer_equivalence': False, 'perfect': False, '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': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.P', 'outer_equivalence': False, 'perfect': False, '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': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.Q', 'outer_equivalence': False, 'perfect': False, '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': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.R', 'outer_equivalence': False, 'perfect': False, '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': '104976.bg', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:C_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.S', 'outer_equivalence': False, 'perfect': False, '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': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8.C_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.T', 'outer_equivalence': False, 'perfect': False, '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': '104976.bj', 'subgroup_hash': None, 'subgroup_order': 104976, 'subgroup_tex': 'C_3^8:\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 257282201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.rt', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 257282202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.sc', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282203
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, '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': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282204
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282205
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 52488, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.sc', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.rx', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.sf', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.rx', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 52488, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '52488.sf', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282211
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, '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': '52488.rt', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 257282212
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.K', 'outer_equivalence': False, 'perfect': False, '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': '52488.sc', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282213
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.L', 'outer_equivalence': False, 'perfect': False, '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': '52488.sc', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 257282214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.M', 'outer_equivalence': False, 'perfect': False, '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': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 257282215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.N', 'outer_equivalence': False, 'perfect': False, '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': '52488.rx', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.O', 'outer_equivalence': False, 'perfect': False, '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': '52488.rx', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 26244, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.P', 'outer_equivalence': False, 'perfect': False, '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': '52488.rt', 'subgroup_hash': None, 'subgroup_order': 52488, 'subgroup_tex': 'C_3^8:(C_2\\times C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 257282219
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^8.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282220
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^7.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 257282221
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 26244, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26244, 'subgroup_tex': 'C_3^8.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 257282222
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 13122, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '839808.qk.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.115', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13122, 'subgroup_tex': 'C_3^8.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 257282223
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6561, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '839808.qk.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.902', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '6561.1396077', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^8', 'supersolvable': True, 'sylow': 3}
  • id: 257282224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '839808.qk.6561.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6561.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6561, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.902', 'subgroup_hash': None, 'subgroup_order': 128, 'subgroup_tex': 'C_{16}.D_4', 'supersolvable': True, 'sylow': 2}
  • id: 257282225
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '839808.qk', 'ambient_counter': 427, 'ambient_order': 839808, 'ambient_tex': 'C_3^8:D_8.C_8', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '839808.qk.839808.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '839808.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '839808.qk', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 839808, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^8:D_8.C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, '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: 257282202
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, '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': None}
  • id: 257282201
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, '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': None}
  • id: 257282163
    {'ambient': '839808.qk', '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': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 275318947650928834169370582228286913998050, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 33532466987260096066822154, 117635357188165707730329065566958974863066, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 257282164
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 275318947650928817496963051049404200211676, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, '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': None}
  • id: 257282165
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 117635357188165737564626738167944673634616, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, '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': None}
  • id: 257282166
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 330607302653221106108667021991123980756816, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, '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': None}
  • id: 257282167
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 275318947650928834169370582228286913998050, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, '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': None}
  • id: 257282168
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 330607302653221140722269311123980053139322, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, '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': None}
  • id: 257282169
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 117635357188165707730329065566958974863066, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, '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': None}
  • id: 257282170
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 33532466987260096066822154, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 330607302653221140722269311123980053139322, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, '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: 257282171
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 83559598876531782701791414348646678920479, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 330607302653221140722269311123980053139322, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, '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: 257282172
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 359575894530087540812365545984719109125773, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 33532466987260096066822154, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, '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: 257282173
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 83559598876531782701791414348646678920479, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 359575894530087540812365545984719109125773, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, '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: 257282174
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 117635357188165737564626738167944673634616, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 330607302653221140722269311123980053139322, 12130891266483576216439823061222699728772], 'label': '839808.qk.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, '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': None}
  • id: 257282175
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 31633614433179586388803432360362005131879, 1134035330318787, 10628652128249245630758712075908113576374, 117635357188165737564626738167944673634616, 357364, 138690, 12130891266483651320993483136118969013723, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 330607302653221140722269311123980053139322], 'label': '839808.qk.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, '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: 257282176
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 31633614433179586388803432360362005131879, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 159559220755230122541253946515284708965599, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 330607302653221140722269311123980053139322, 806634631154338642097348997, 138690], 'label': '839808.qk.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, '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': None}
  • id: 257282177
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 31633614433179586388803432360362005131879, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 117635357188165707730329065566958974863066, 74156610461120469347041713080863522120892, 275318947650928817496963051049404200211676, 806634631154338642097348997, 138690], 'label': '839808.qk.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, '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: 257282178
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 31633614433179586388803432360362005131879, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 12130891266483651320993483136118969013723, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 253489119783031023118920460795076576490388, 117635357188165707730329065566958974863066, 2979056647041987, 806634631154338642097348997], 'label': '839808.qk.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, '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': None}
  • id: 257282179
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, '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': None}
  • id: 257282180
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 33532466987260096066822154, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, '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': None}
  • id: 257282181
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 83559598876531782701791414348646678920479, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, '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': None}
  • id: 257282182
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 31633614433179586388803432360362005131879, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 275318947650928817496963051049404200211676, 806634631154338642097348997, 138690], 'label': '839808.qk.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, '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': None}
  • id: 257282183
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 31633614433179586388803432360362005131879, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 12130891266483651320993483136118969013723, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 253489119783031023118920460795076576490388, 2979056647041987, 806634631154338642097348997], 'label': '839808.qk.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, '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': None}
  • id: 257282184
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690, 330607302653221106108667021991123980756816], 'label': '839808.qk.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, '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': None}
  • id: 257282185
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 33532466987260096066822154, 2979056647041987, 806634631154338642097348997, 330607302653221140722269311123980053139322, 12130891266483576216439823061222699728772], 'label': '839808.qk.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, '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': None}
  • id: 257282186
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 359575894530087449015175138440409600241771, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, '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': None}
  • id: 257282187
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 330607302653221140722269311123980053139322, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, '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: 257282188
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 359575894530087540812365545984719109125773, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, '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: 257282189
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 83559598876531782701791414348646678920479, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 359575894530087540812365545984719109125773, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, '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: 257282190
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 1134035330318787, 10628652128249245630758712075908113576374, 357364, 138690, 359575894530087540812365545984719109125773, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 83559598876530991602032710118101189060007, 12130891266483576216439823061222699728772], 'label': '839808.qk.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, '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: 257282191
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 83559598876531782701791414348646678920479, 1258350440040236085903544197, 338917747686832639092995965294824667263373, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, '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: 257282192
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 338917747686832639092995965294824667263373, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 83559598876530991602032710118101189060007, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, '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: 257282193
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 330607302653221140722269311123980053139322, 806634631154338642097348997, 138690], 'label': '839808.qk.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, '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: 257282194
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 31633614433179586388803432360362005131879, 288702935427766578010625986787505930958593, 10628652128249245630758712075908113576374, 1134035330318787, 357364, 138690, 12130891266483651320993483136118969013723, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997], 'label': '839808.qk.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, '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: 257282195
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 31633614433179586388803432360362005131879, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 117635357188165707730329065566958974863066, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, '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: 257282196
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 275318947650928834169370582228286913998050, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 117635357188165737564626738167944673634616, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, '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': None}
  • id: 257282197
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [288702935427766512887048193121283734269299, 2979056647041987, 31633614433179586388803432360362005131879, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, '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: 257282198
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 275318947650928834169370582228286913998050, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 12130891266483651320993483136118969013723, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997], 'label': '839808.qk.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, '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: 257282199
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 31633614433179586388803432360362005131879, 1134035330318787, 10628652128249245630758712075908113576374, 117635357188165737564626738167944673634616, 357364, 138690, 12130891266483651320993483136118969013723, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 2979056647041987, 806634631154338642097348997], 'label': '839808.qk.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, '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: 257282200
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690, 330607302653221106108667021991123980756816], 'label': '839808.qk.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, '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: 257282203
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 31633614433179586388803432360362005131879, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, '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': None}
  • id: 257282204
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 83559598876531782701791414348646678920479, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, '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: 257282205
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 83559598876530991602032710118101189060007, 806634631154338642097348997, 12130891266483576216439823061222699728772, 138690], 'label': '839808.qk.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, '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: 257282206
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690, 330607302653221106108667021991123980756816], 'label': '839808.qk.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, '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: 257282207
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 275318947650928834169370582228286913998050, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 33532466987260096066822154, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, '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': None}
  • id: 257282208
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 371054475424066493648235814703315793550416, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, '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: 257282209
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 359575894530087540812365545984719109125773, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, '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: 257282210
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 338917747686832639092995965294824667263373, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, '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: 257282211
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 359575894530087540812365545984719109125773, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, '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: 257282212
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 357364, 359575894530087449015175138440409600241771, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, '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: 257282213
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 330607302653221140722269311123980053139322, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, '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: 257282214
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 33532466987260096066822154, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, '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: 257282215
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690, 330607302653221106108667021991123980756816], 'label': '839808.qk.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, '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: 257282216
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 359575894530087540812365545984719109125773, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, '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: 257282217
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690, 330607302653221106108667021991123980756816], 'label': '839808.qk.16._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.P', 'projective_image': None, '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: 257282218
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 117635357188165707730329065566958974863066, 275318947650928817496963051049404200211676, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, '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': None}
  • id: 257282219
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 12130891266483576216439823061222699728772, 806634631154338642097348997, 138690], 'label': '839808.qk.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, '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': None}
  • id: 257282220
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 15593415490930366881797515, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, '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: 257282221
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 12130891266483651320993483136118969013723, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, '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: 257282222
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 74156610461120469347041713080863522120892, 806634631154338642097348997, 138690], 'label': '839808.qk.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 257282223
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': '128.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': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2979056647041987, 357364, 1258350440040236085903544197, 1134035330318787, 10628652128249245630758712075908113576374, 84489206710397046975931770581115244965364, 806634631154338642097348997, 138690], 'label': '839808.qk.128.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 257282224
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': '6561.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': None, 'coset_action_label': None, 'count': 6561, 'diagramx': None, 'generators': [296055878968489714314280956569137478400, 2094011920090358902688204250141343962249, 192966100240961165742249033976156432171706, 625479240827277313626288706171342214400, 288146915566364195664643869948411832979322], 'label': '839808.qk.6561.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6561.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6561.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 257282225
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': '839808.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': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '839808.qk.839808.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '839808.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '839808.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 257282226
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 33532466987260096066822154, 117635357188165707730329065566958974863066, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, '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': None}
  • id: 257282227
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 275318947650928834169370582228286913998050, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 117635357188165707730329065566958974863066, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, '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': None}
  • id: 257282228
    {'ambient': '839808.qk', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84489206710397046975931770581115244965364, 15593415490930366881797515, 1134035330318787, 10628652128249245630758712075908113576374, 83559598876531752969721849073117333219841, 357364, 138690, 74156610461120469347041713080863522120892, 1258350440040236085903544197, 33532466987260096066822154, 2979056647041987, 806634631154338642097348997, 12130891266483576216439823061222699728772], 'label': '839808.qk.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, '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': None}