Abstract group data - 705600.b

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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': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 4200, 'aut_gen_orders': [14, 4, 12, 25], 'aut_gens': [[17974725373896, 31394858527083, 28487064012000, 9495688004000], [13841865297027, 29048367243772, 28487064012000, 18991376008000], [18589709853705, 13499522410436, 28487064012000, 18991376008000], [21318347960570, 24077892268189, 28487064012000, 18991376008000], [30446593936886, 23675801949853, 28487064012000, 9495688004000]], 'aut_group': None, 'aut_hash': 4660226121753050100, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 470400, 'aut_permdeg': 352, 'aut_perms': [43442911961873763376583579150577205829501725778031194560367242572202870421529430877542002521625270060545162097774765713816641200593679065684128441870710129210889579072442962810318289448438313018704761406866971279609355820925247544015187292164135898386489828332724593069456146578717729339145957106640486407867612640871586121371930242857190899230257499697431987587605813595488829374507335002609478337617578934243028553464187632584563629002873880863786164404998486466219170595894442084099903359510608178883356640020171334918328714968226330208703742860304233352241456750644861995458734951060454409164204637115411775181334458439535594907397832711014903657812975976313436654180154331739870321234694544026101164888697586429566345528160192572427076768, 43412420822403699608339198210314737091396162865887267892382987637189447564020044506315135911567259943846597329606543755282472053667985528658223249319536405795090452809898852513855125295199201164980535379003907977263706288056942369372677128459338033465728783936962560217946722097266912413858955844380921112406086179691010740526466045499200800841604495785186100318218125528923738526671995481839842035263606835641293107897693839497553569161382102522952386576724276107281792858813931274548377771860732874040006671998025669479377377546494173274939206846776277901943089484892470726531539133101486830982578635141473352116151621544453904155011990435857960329961953593180926095617412258825959389934883010389935516748850761664853017182190474055203148769, 43406030000061304914374417361083616090165278824585403944498811686352276708878667616661468602563259255037056345704146139689285594688552101572100363871892672177172481907628166061411606804223029071606826326981193494245392904009352165756263144282648204101479804976526065570950731634969958656999715411917302456288053539424049024869717569988383533686333341061070591671280034003119535795901709868489354073560800908451372381112439146487542956887530540120860757342194444416220846987622853206377535863683318475052102774533620156638834041811730819288388972598610039991443362372518801204260355184378304868489171316182768853189971010898180558377903461524529921829159966318551840825252037904768843887212997739814035015576003833928881627598322973576727636548, 66160415684125820198990805561913877727901436878222169292033062713364252363128586785367604118745812049184551631251260897831709566967403883452054440756285801357781754513241856449171789180317706325140036313939588458010139383349978118616112531029987364299593388069787663093346363296960043549198947373431412621963839144502561138782009883612975986462655276148562772407982412723237167183109729490314827494045229223270879233917881176479688706844163249188954416670881980161403496170054575574734994342201620530216332444236142678031973911574387888807421319047507620886226929087125912738399245252450813679250457789055511456753513944706970650139246994536209598188017895425952722099853525307011178604672500851204547772199868882664179488641106831518072134], 'aut_phi_ratio': 2.9166666666666665, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 350, 1, 1], [3, 1, 2, 1], [3, 2450, 1, 1], [3, 2450, 2, 1], [4, 350, 1, 1], [4, 2450, 1, 1], [5, 4704, 1, 1], [6, 1, 2, 1], [6, 350, 2, 1], [6, 2450, 1, 1], [6, 2450, 2, 1], [6, 19600, 1, 1], [6, 19600, 2, 1], [7, 1200, 1, 2], [8, 2450, 1, 2], [8, 14700, 1, 1], [10, 4704, 1, 1], [12, 350, 2, 1], [12, 2450, 2, 1], [12, 4900, 1, 1], [12, 4900, 2, 1], [12, 19600, 1, 1], [12, 19600, 2, 1], [14, 1200, 1, 2], [14, 8400, 2, 1], [15, 4704, 2, 1], [16, 4900, 1, 2], [16, 14700, 1, 2], [21, 1200, 2, 2], [24, 2450, 2, 2], [24, 4900, 1, 2], [24, 4900, 2, 2], [24, 14700, 2, 1], [25, 4704, 1, 5], [28, 8400, 2, 1], [30, 4704, 2, 1], [42, 1200, 2, 2], [42, 8400, 4, 1], [48, 4900, 1, 4], [48, 4900, 2, 6], [48, 14700, 2, 2], [50, 4704, 1, 5], [75, 4704, 2, 5], [84, 8400, 4, 1], [150, 4704, 2, 5]], 'aut_supersolvable': False, 'aut_tex': 'C_2^2\\times \\PSL(2,49).C_2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4200, 'autcentquo_group': '117600.d', 'autcentquo_hash': 4464546501804009394, 'autcentquo_nilpotent': False, 'autcentquo_order': 117600, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\POMinus(4,7)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 350, 1], [3, 1, 2], [3, 2450, 3], [4, 350, 1], [4, 2450, 1], [5, 4704, 1], [6, 1, 2], [6, 350, 2], [6, 2450, 3], [6, 19600, 3], [7, 1200, 2], [8, 2450, 2], [8, 14700, 1], [10, 4704, 1], [12, 350, 2], [12, 2450, 2], [12, 4900, 3], [12, 19600, 3], [14, 1200, 2], [14, 8400, 2], [15, 4704, 2], [16, 4900, 2], [16, 14700, 2], [21, 1200, 4], [24, 2450, 4], [24, 4900, 6], [24, 14700, 2], [25, 4704, 5], [28, 8400, 2], [30, 4704, 2], [42, 1200, 4], [42, 8400, 4], [48, 4900, 16], [48, 14700, 4], [50, 4704, 5], [75, 4704, 10], [84, 8400, 4], [150, 4704, 10]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '117600.d', 'commutator_count': 1, 'commutator_label': '117600.a', 'complements_known': False, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '58800.a'], 'composition_length': 4, 'conjugacy_classes_known': True, 'counter': 2, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['235200.e', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 350, 1, 1], [3, 1, 2, 1], [3, 2450, 1, 1], [3, 2450, 2, 1], [4, 350, 1, 1], [4, 2450, 1, 1], [5, 4704, 1, 1], [6, 1, 2, 1], [6, 350, 2, 1], [6, 2450, 1, 1], [6, 2450, 2, 1], [6, 19600, 1, 1], [6, 19600, 2, 1], [7, 1200, 1, 2], [8, 2450, 2, 1], [8, 14700, 1, 1], [10, 4704, 1, 1], [12, 350, 2, 1], [12, 2450, 2, 1], [12, 4900, 1, 1], [12, 4900, 2, 1], [12, 19600, 1, 1], [12, 19600, 2, 1], [14, 1200, 1, 2], [14, 8400, 2, 1], [15, 4704, 2, 1], [16, 4900, 2, 1], [16, 14700, 2, 1], [21, 1200, 2, 2], [24, 2450, 4, 1], [24, 4900, 2, 1], [24, 4900, 4, 1], [24, 14700, 2, 1], [25, 4704, 5, 1], [28, 8400, 2, 1], [30, 4704, 2, 1], [42, 1200, 2, 2], [42, 8400, 4, 1], [48, 4900, 4, 2], [48, 4900, 8, 1], [48, 14700, 4, 1], [50, 4704, 5, 1], [75, 4704, 10, 1], [84, 8400, 4, 1], [150, 4704, 10, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': None, 'exponent': 8400, 'exponents_of_order': [6, 2, 2, 2], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 3, 5, 7], 'faithful_reps': [[24, 0, 8], [96, 0, 12], [100, 0, 12]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': None, 'hash': 7226393164144033481, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4200, 'inner_gen_orders': [2, 5, 1, 1], 'inner_gens': [[17974725373896, 11003608419330, 28487064012000, 9495688004000], [20955543437083, 31394858527083, 28487064012000, 9495688004000], [17974725373896, 31394858527083, 28487064012000, 9495688004000], [17974725373896, 31394858527083, 28487064012000, 9495688004000]], 'inner_hash': 4464546501804009394, 'inner_nilpotent': False, 'inner_order': 117600, 'inner_split': True, 'inner_tex': '\\POMinus(4,7)', 'inner_used': [1, 2], 'irrC_degree': 24, 'irrQ_degree': 96, 'irrQ_dim': 96, 'irrR_degree': 48, 'irrep_stats': [[1, 6], [24, 12], [25, 12], [49, 6], [50, 30], [96, 36], [100, 27]], 'label': '705600.b', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'SL(2,49).C6', 'ngens': 4, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 1, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 82, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 129, 'number_divisions': 52, 'number_normal_subgroups': 8, 'number_subgroup_autclasses': 366, 'number_subgroup_classes': 393, 'number_subgroups': 678680, 'old_label': None, 'order': 705600, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 351], [3, 7352], [4, 2800], [5, 4704], [6, 66852], [7, 2400], [8, 19600], [10, 4704], [12, 79100], [14, 19200], [15, 9408], [16, 39200], [21, 4800], [24, 68600], [25, 23520], [28, 16800], [30, 9408], [42, 38400], [48, 137200], [50, 23520], [75, 47040], [84, 33600], [150, 47040]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [4747844002000, 4747844002000], 'outer_gens': [[20797026133761, 31394858527083, 28487064012000, 9495688004000], [17974725373896, 24808902126509, 28487064012000, 18991376008000]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 803, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 2], [25, 4], [48, 2], [49, 2], [50, 10], [96, 4], [98, 2], [100, 9], [192, 2], [200, 5], [400, 3], [480, 2], [800, 1], [960, 2]], 'representations': {'GLFp': {'d': 4, 'p': 7, 'gens': [17974725373896, 31394858527083, 28487064012000, 9495688004000]}, 'Perm': {'d': 803, 'gens': 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3, 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'schur_multiplier': None, 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '\\SL(2,49).C_6', 'transitive_degree': 2400, '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: 110864628
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 2, 'group_order': 705600, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 4747844002000, 'size': 1}
  • id: 110864669
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 2, 'group_order': 705600, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 28487064012000, 'size': 1}
  • id: 110864680
    {'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 2, 'group_order': 705600, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 20928880317524, 'size': 350}
  • id: 110864691
    {'aut_label': '3A1', 'centralizer': None, 'counter': 4, 'group_counter': 2, 'group_order': 705600, 'label': '3A1', 'order': 3, 'powers': [5, 1, 5, 4], 'representative': 9495688004000, 'size': 1}
  • id: 110864702
    {'aut_label': '3A1', 'centralizer': None, 'counter': 5, 'group_counter': 2, 'group_order': 705600, 'label': '3A-1', 'order': 3, 'powers': [4, 1, 4, 5], 'representative': 18991376008000, 'size': 1}
  • id: 110864713
    {'aut_label': '3B', 'centralizer': None, 'counter': 6, 'group_counter': 2, 'group_order': 705600, 'label': '3B', 'order': 3, 'powers': [6, 1, 6, 6], 'representative': 10636069138258, 'size': 2450}
  • id: 110864724
    {'aut_label': '3C1', 'centralizer': None, 'counter': 7, 'group_counter': 2, 'group_order': 705600, 'label': '3C1', 'order': 3, 'powers': [8, 1, 8, 7], 'representative': 8886672058644, 'size': 2450}
  • id: 110864735
    {'aut_label': '3C1', 'centralizer': None, 'counter': 8, 'group_counter': 2, 'group_order': 705600, 'label': '3C-1', 'order': 3, 'powers': [7, 1, 7, 8], 'representative': 7475425484146, 'size': 2450}
  • id: 110864746
    {'aut_label': '4A', 'centralizer': None, 'counter': 9, 'group_counter': 2, 'group_order': 705600, 'label': '4A', 'order': 4, 'powers': [2, 9, 9, 9], 'representative': 24897275015293, 'size': 350}
  • id: 110864629
    {'aut_label': '4B', 'centralizer': None, 'counter': 10, 'group_counter': 2, 'group_order': 705600, 'label': '4B', 'order': 4, 'powers': [2, 10, 10, 10], 'representative': 8481619782887, 'size': 2450}
  • id: 110864640
    {'aut_label': '5A', 'centralizer': None, 'counter': 11, 'group_counter': 2, 'group_order': 705600, 'label': '5A', 'order': 5, 'powers': [11, 11, 1, 11], 'representative': 3803164281879, 'size': 4704}
  • id: 110864651
    {'aut_label': '6A1', 'centralizer': None, 'counter': 12, 'group_counter': 2, 'group_order': 705600, 'label': '6A1', 'order': 6, 'powers': [4, 2, 13, 12], 'representative': 14243532006000, 'size': 1}
  • id: 110864662
    {'aut_label': '6A1', 'centralizer': None, 'counter': 13, 'group_counter': 2, 'group_order': 705600, 'label': '6A-1', 'order': 6, 'powers': [5, 2, 12, 13], 'representative': 23739220010000, 'size': 1}
  • id: 110864663
    {'aut_label': '6B1', 'centralizer': None, 'counter': 14, 'group_counter': 2, 'group_order': 705600, 'label': '6B1', 'order': 6, 'powers': [4, 3, 15, 14], 'representative': 17160403571944, 'size': 350}
  • id: 110864664
    {'aut_label': '6B1', 'centralizer': None, 'counter': 15, 'group_counter': 2, 'group_order': 705600, 'label': '6B-1', 'order': 6, 'powers': [5, 3, 14, 15], 'representative': 25203607891376, 'size': 350}
  • id: 110864665
    {'aut_label': '6C', 'centralizer': None, 'counter': 16, 'group_counter': 2, 'group_order': 705600, 'label': '6C', 'order': 6, 'powers': [6, 2, 16, 16], 'representative': 15383913022609, 'size': 2450}
  • id: 110864666
    {'aut_label': '6D1', 'centralizer': None, 'counter': 17, 'group_counter': 2, 'group_order': 705600, 'label': '6D1', 'order': 6, 'powers': [8, 2, 18, 17], 'representative': 15466842810259, 'size': 2450}
  • id: 110864667
    {'aut_label': '6D1', 'centralizer': None, 'counter': 18, 'group_counter': 2, 'group_order': 705600, 'label': '6D-1', 'order': 6, 'powers': [7, 2, 17, 18], 'representative': 21195740205302, 'size': 2450}
  • id: 110864668
    {'aut_label': '6E', 'centralizer': None, 'counter': 19, 'group_counter': 2, 'group_order': 705600, 'label': '6E', 'order': 6, 'powers': [6, 3, 19, 19], 'representative': 1346763318227, 'size': 19600}
  • id: 110864670
    {'aut_label': '6F1', 'centralizer': None, 'counter': 20, 'group_counter': 2, 'group_order': 705600, 'label': '6F1', 'order': 6, 'powers': [7, 3, 21, 20], 'representative': 23656196380973, 'size': 19600}
  • id: 110864671
    {'aut_label': '6F1', 'centralizer': None, 'counter': 21, 'group_counter': 2, 'group_order': 705600, 'label': '6F-1', 'order': 6, 'powers': [8, 3, 20, 21], 'representative': 20320717231326, 'size': 19600}
  • id: 110864672
    {'aut_label': '7A', 'centralizer': None, 'counter': 22, 'group_counter': 2, 'group_order': 705600, 'label': '7A', 'order': 7, 'powers': [22, 22, 22, 1], 'representative': 3216255530616, 'size': 1200}
  • id: 110864673
    {'aut_label': '7B', 'centralizer': None, 'counter': 23, 'group_counter': 2, 'group_order': 705600, 'label': '7B', 'order': 7, 'powers': [23, 23, 23, 1], 'representative': 4895872110312, 'size': 1200}
  • id: 110864674
    {'aut_label': '8A1', 'centralizer': None, 'counter': 24, 'group_counter': 2, 'group_order': 705600, 'label': '8A1', 'order': 8, 'powers': [10, 25, 25, 24], 'representative': 21695546502280, 'size': 2450}
  • id: 110864675
    {'aut_label': '8A3', 'centralizer': None, 'counter': 25, 'group_counter': 2, 'group_order': 705600, 'label': '8A3', 'order': 8, 'powers': [10, 24, 24, 25], 'representative': 2706147938679, 'size': 2450}
  • id: 110864676
    {'aut_label': '8B', 'centralizer': None, 'counter': 26, 'group_counter': 2, 'group_order': 705600, 'label': '8B', 'order': 8, 'powers': [10, 26, 26, 26], 'representative': 19422941740853, 'size': 14700}
  • id: 110864677
    {'aut_label': '10A', 'centralizer': None, 'counter': 27, 'group_counter': 2, 'group_order': 705600, 'label': '10A', 'order': 10, 'powers': [11, 27, 2, 27], 'representative': 2025556387482, 'size': 4704}
  • id: 110864678
    {'aut_label': '12A1', 'centralizer': None, 'counter': 28, 'group_counter': 2, 'group_order': 705600, 'label': '12A1', 'order': 12, 'powers': [12, 9, 29, 28], 'representative': 22999414969128, 'size': 350}
  • id: 110864679
    {'aut_label': '12A1', 'centralizer': None, 'counter': 29, 'group_counter': 2, 'group_order': 705600, 'label': '12A-1', 'order': 12, 'powers': [13, 9, 28, 29], 'representative': 31445807544187, 'size': 350}
  • id: 110864681
    {'aut_label': '12B1', 'centralizer': None, 'counter': 30, 'group_counter': 2, 'group_order': 705600, 'label': '12B1', 'order': 12, 'powers': [12, 10, 31, 30], 'representative': 26569628265777, 'size': 2450}
  • id: 110864682
    {'aut_label': '12B1', 'centralizer': None, 'counter': 31, 'group_counter': 2, 'group_order': 705600, 'label': '12B-1', 'order': 12, 'powers': [13, 10, 30, 31], 'representative': 23626541869591, 'size': 2450}
  • id: 110864683
    {'aut_label': '12C', 'centralizer': None, 'counter': 32, 'group_counter': 2, 'group_order': 705600, 'label': '12C', 'order': 12, 'powers': [16, 10, 32, 32], 'representative': 16119573238508, 'size': 4900}
  • id: 110864684
    {'aut_label': '12D1', 'centralizer': None, 'counter': 33, 'group_counter': 2, 'group_order': 705600, 'label': '12D1', 'order': 12, 'powers': [17, 10, 34, 33], 'representative': 11777715509353, 'size': 4900}
  • id: 110864685
    {'aut_label': '12D1', 'centralizer': None, 'counter': 34, 'group_counter': 2, 'group_order': 705600, 'label': '12D-1', 'order': 12, 'powers': [18, 10, 33, 34], 'representative': 30247427158190, 'size': 4900}
  • id: 110864686
    {'aut_label': '12E', 'centralizer': None, 'counter': 35, 'group_counter': 2, 'group_order': 705600, 'label': '12E', 'order': 12, 'powers': [16, 9, 35, 35], 'representative': 21413187904291, 'size': 19600}
  • id: 110864687
    {'aut_label': '12F1', 'centralizer': None, 'counter': 36, 'group_counter': 2, 'group_order': 705600, 'label': '12F1', 'order': 12, 'powers': [17, 9, 37, 36], 'representative': 23544633359091, 'size': 19600}
  • id: 110864688
    {'aut_label': '12F1', 'centralizer': None, 'counter': 37, 'group_counter': 2, 'group_order': 705600, 'label': '12F-1', 'order': 12, 'powers': [18, 9, 36, 37], 'representative': 17151075067498, 'size': 19600}
  • id: 110864689
    {'aut_label': '14A', 'centralizer': None, 'counter': 38, 'group_counter': 2, 'group_order': 705600, 'label': '14A', 'order': 14, 'powers': [22, 38, 38, 2], 'representative': 17785660994404, 'size': 1200}
  • id: 110864690
    {'aut_label': '14B', 'centralizer': None, 'counter': 39, 'group_counter': 2, 'group_order': 705600, 'label': '14B', 'order': 14, 'powers': [23, 39, 39, 2], 'representative': 3497372181105, 'size': 1200}
  • id: 110864692
    {'aut_label': '14C1', 'centralizer': None, 'counter': 40, 'group_counter': 2, 'group_order': 705600, 'label': '14C1', 'order': 14, 'powers': [23, 41, 41, 3], 'representative': 16567787077284, 'size': 8400}
  • id: 110864693
    {'aut_label': '14C1', 'centralizer': None, 'counter': 41, 'group_counter': 2, 'group_order': 705600, 'label': '14C-1', 'order': 14, 'powers': [23, 40, 40, 3], 'representative': 14160760934484, 'size': 8400}
  • id: 110864694
    {'aut_label': '15A1', 'centralizer': None, 'counter': 42, 'group_counter': 2, 'group_order': 705600, 'label': '15A1', 'order': 15, 'powers': [43, 11, 4, 42], 'representative': 6536172903449, 'size': 4704}
  • id: 110864695
    {'aut_label': '15A1', 'centralizer': None, 'counter': 43, 'group_counter': 2, 'group_order': 705600, 'label': '15A-1', 'order': 15, 'powers': [42, 11, 5, 43], 'representative': 2263104368739, 'size': 4704}
  • id: 110864696
    {'aut_label': '16A1', 'centralizer': None, 'counter': 44, 'group_counter': 2, 'group_order': 705600, 'label': '16A1', 'order': 16, 'powers': [25, 45, 45, 44], 'representative': 7722823861477, 'size': 4900}
  • id: 110864697
    {'aut_label': '16A3', 'centralizer': None, 'counter': 45, 'group_counter': 2, 'group_order': 705600, 'label': '16A3', 'order': 16, 'powers': [24, 44, 44, 45], 'representative': 32297919804973, 'size': 4900}
  • id: 110864698
    {'aut_label': '16B1', 'centralizer': None, 'counter': 46, 'group_counter': 2, 'group_order': 705600, 'label': '16B1', 'order': 16, 'powers': [24, 47, 47, 46], 'representative': 15490391772128, 'size': 14700}
  • id: 110864699
    {'aut_label': '16B3', 'centralizer': None, 'counter': 47, 'group_counter': 2, 'group_order': 705600, 'label': '16B3', 'order': 16, 'powers': [25, 46, 46, 47], 'representative': 26582089586609, 'size': 14700}
  • id: 110864700
    {'aut_label': '21A1', 'centralizer': None, 'counter': 48, 'group_counter': 2, 'group_order': 705600, 'label': '21A1', 'order': 21, 'powers': [49, 22, 49, 4], 'representative': 32027215673661, 'size': 1200}
  • id: 110864701
    {'aut_label': '21A1', 'centralizer': None, 'counter': 49, 'group_counter': 2, 'group_order': 705600, 'label': '21A-1', 'order': 21, 'powers': [48, 22, 48, 5], 'representative': 17459787418967, 'size': 1200}
  • id: 110864703
    {'aut_label': '21B1', 'centralizer': None, 'counter': 50, 'group_counter': 2, 'group_order': 705600, 'label': '21B1', 'order': 21, 'powers': [51, 23, 51, 4], 'representative': 9817165712237, 'size': 1200}
  • id: 110864704
    {'aut_label': '21B1', 'centralizer': None, 'counter': 51, 'group_counter': 2, 'group_order': 705600, 'label': '21B-1', 'order': 21, 'powers': [50, 23, 50, 5], 'representative': 19139404116312, 'size': 1200}
  • id: 110864705
    {'aut_label': '24A1', 'centralizer': None, 'counter': 52, 'group_counter': 2, 'group_order': 705600, 'label': '24A1', 'order': 24, 'powers': [30, 24, 54, 52], 'representative': 3733775780887, 'size': 2450}
  • id: 110864706
    {'aut_label': '24A1', 'centralizer': None, 'counter': 53, 'group_counter': 2, 'group_order': 705600, 'label': '24A-1', 'order': 24, 'powers': [31, 24, 55, 53], 'representative': 29388454109560, 'size': 2450}
  • id: 110864707
    {'aut_label': '24A5', 'centralizer': None, 'counter': 54, 'group_counter': 2, 'group_order': 705600, 'label': '24A5', 'order': 24, 'powers': [31, 25, 52, 54], 'representative': 903367541959, 'size': 2450}
  • id: 110864708
    {'aut_label': '24A5', 'centralizer': None, 'counter': 55, 'group_counter': 2, 'group_order': 705600, 'label': '24A-5', 'order': 24, 'powers': [30, 25, 53, 55], 'representative': 13229463784880, 'size': 2450}
  • id: 110864709
    {'aut_label': '24B1', 'centralizer': None, 'counter': 56, 'group_counter': 2, 'group_order': 705600, 'label': '24B1', 'order': 24, 'powers': [32, 25, 57, 56], 'representative': 18490857057904, 'size': 4900}
  • id: 110864710
    {'aut_label': '24B5', 'centralizer': None, 'counter': 57, 'group_counter': 2, 'group_order': 705600, 'label': '24B5', 'order': 24, 'powers': [32, 24, 56, 57], 'representative': 10722848898732, 'size': 4900}
  • id: 110864711
    {'aut_label': '24C1', 'centralizer': None, 'counter': 58, 'group_counter': 2, 'group_order': 705600, 'label': '24C1', 'order': 24, 'powers': [33, 24, 60, 58], 'representative': 23494855582166, 'size': 4900}
  • id: 110864712
    {'aut_label': '24C1', 'centralizer': None, 'counter': 59, 'group_counter': 2, 'group_order': 705600, 'label': '24C-1', 'order': 24, 'powers': [34, 24, 61, 59], 'representative': 27742367866600, 'size': 4900}
  • id: 110864714
    {'aut_label': '24C5', 'centralizer': None, 'counter': 60, 'group_counter': 2, 'group_order': 705600, 'label': '24C5', 'order': 24, 'powers': [34, 25, 58, 60], 'representative': 14480171863349, 'size': 4900}
  • id: 110864715
    {'aut_label': '24C5', 'centralizer': None, 'counter': 61, 'group_counter': 2, 'group_order': 705600, 'label': '24C-5', 'order': 24, 'powers': [33, 25, 59, 61], 'representative': 30350168182326, 'size': 4900}
  • id: 110864716
    {'aut_label': '24D1', 'centralizer': None, 'counter': 62, 'group_counter': 2, 'group_order': 705600, 'label': '24D1', 'order': 24, 'powers': [30, 26, 63, 62], 'representative': 4340770580767, 'size': 14700}
  • id: 110864717
    {'aut_label': '24D1', 'centralizer': None, 'counter': 63, 'group_counter': 2, 'group_order': 705600, 'label': '24D-1', 'order': 24, 'powers': [31, 26, 62, 63], 'representative': 29091761258035, 'size': 14700}
  • id: 110864718
    {'aut_label': '25A1', 'centralizer': None, 'counter': 64, 'group_counter': 2, 'group_order': 705600, 'label': '25A1', 'order': 25, 'powers': [65, 66, 11, 64], 'representative': 17042981466691, 'size': 4704}
  • id: 110864719
    {'aut_label': '25A2', 'centralizer': None, 'counter': 65, 'group_counter': 2, 'group_order': 705600, 'label': '25A2', 'order': 25, 'powers': [66, 67, 11, 65], 'representative': 10497871788482, 'size': 4704}
  • id: 110864720
    {'aut_label': '25A3', 'centralizer': None, 'counter': 66, 'group_counter': 2, 'group_order': 705600, 'label': '25A3', 'order': 25, 'powers': [67, 68, 11, 66], 'representative': 23234396643846, 'size': 4704}
  • id: 110864721
    {'aut_label': '25A6', 'centralizer': None, 'counter': 67, 'group_counter': 2, 'group_order': 705600, 'label': '25A6', 'order': 25, 'powers': [68, 64, 11, 67], 'representative': 17475195608121, 'size': 4704}
  • id: 110864722
    {'aut_label': '25A9', 'centralizer': None, 'counter': 68, 'group_counter': 2, 'group_order': 705600, 'label': '25A9', 'order': 25, 'powers': [64, 65, 11, 68], 'representative': 9539787913539, 'size': 4704}
  • id: 110864723
    {'aut_label': '28A1', 'centralizer': None, 'counter': 69, 'group_counter': 2, 'group_order': 705600, 'label': '28A1', 'order': 28, 'powers': [38, 69, 70, 9], 'representative': 10384499737120, 'size': 8400}
  • id: 110864725
    {'aut_label': '28A1', 'centralizer': None, 'counter': 70, 'group_counter': 2, 'group_order': 705600, 'label': '28A5', 'order': 28, 'powers': [38, 70, 69, 9], 'representative': 11359309470696, 'size': 8400}
  • id: 110864726
    {'aut_label': '30A1', 'centralizer': None, 'counter': 71, 'group_counter': 2, 'group_order': 705600, 'label': '30A1', 'order': 30, 'powers': [42, 27, 12, 71], 'representative': 3372448350928, 'size': 4704}
  • id: 110864727
    {'aut_label': '30A1', 'centralizer': None, 'counter': 72, 'group_counter': 2, 'group_order': 705600, 'label': '30A-1', 'order': 30, 'powers': [43, 27, 13, 72], 'representative': 24095801326282, 'size': 4704}
  • id: 110864728
    {'aut_label': '42A1', 'centralizer': None, 'counter': 73, 'group_counter': 2, 'group_order': 705600, 'label': '42A1', 'order': 42, 'powers': [48, 38, 74, 12], 'representative': 30481779223140, 'size': 1200}
  • id: 110864729
    {'aut_label': '42A1', 'centralizer': None, 'counter': 74, 'group_counter': 2, 'group_order': 705600, 'label': '42A-1', 'order': 42, 'powers': [49, 38, 73, 13], 'representative': 4532424820801, 'size': 1200}
  • id: 110864730
    {'aut_label': '42B1', 'centralizer': None, 'counter': 75, 'group_counter': 2, 'group_order': 705600, 'label': '42B1', 'order': 42, 'powers': [50, 39, 76, 12], 'representative': 11440241865350, 'size': 1200}
  • id: 110864731
    {'aut_label': '42B1', 'centralizer': None, 'counter': 76, 'group_counter': 2, 'group_order': 705600, 'label': '42B-1', 'order': 42, 'powers': [51, 39, 75, 13], 'representative': 13956439137026, 'size': 1200}
  • id: 110864732
    {'aut_label': '42C1', 'centralizer': None, 'counter': 77, 'group_counter': 2, 'group_order': 705600, 'label': '42C1', 'order': 42, 'powers': [50, 40, 78, 14], 'representative': 30249106562892, 'size': 8400}
  • id: 110864733
    {'aut_label': '42C1', 'centralizer': None, 'counter': 78, 'group_counter': 2, 'group_order': 705600, 'label': '42C-1', 'order': 42, 'powers': [51, 41, 77, 15], 'representative': 2084578095841, 'size': 8400}
  • id: 110864734
    {'aut_label': '42C1', 'centralizer': None, 'counter': 79, 'group_counter': 2, 'group_order': 705600, 'label': '42C11', 'order': 42, 'powers': [51, 40, 80, 15], 'representative': 22895407750935, 'size': 8400}
  • id: 110864736
    {'aut_label': '42C1', 'centralizer': None, 'counter': 80, 'group_counter': 2, 'group_order': 705600, 'label': '42C-11', 'order': 42, 'powers': [50, 41, 79, 14], 'representative': 27274304346010, 'size': 8400}
  • id: 110864737
    {'aut_label': '48A1', 'centralizer': None, 'counter': 81, 'group_counter': 2, 'group_order': 705600, 'label': '48A1', 'order': 48, 'powers': [54, 44, 83, 81], 'representative': 20240093104019, 'size': 4900}
  • id: 110864738
    {'aut_label': '48A1', 'centralizer': None, 'counter': 82, 'group_counter': 2, 'group_order': 705600, 'label': '48A-1', 'order': 48, 'powers': [55, 44, 84, 82], 'representative': 29814061698465, 'size': 4900}
  • id: 110864739
    {'aut_label': '48A5', 'centralizer': None, 'counter': 83, 'group_counter': 2, 'group_order': 705600, 'label': '48A5', 'order': 48, 'powers': [52, 45, 81, 83], 'representative': 28801038736524, 'size': 4900}
  • id: 110864740
    {'aut_label': '48A5', 'centralizer': None, 'counter': 84, 'group_counter': 2, 'group_order': 705600, 'label': '48A-5', 'order': 48, 'powers': [53, 45, 82, 84], 'representative': 18293713622833, 'size': 4900}
  • id: 110864741
    {'aut_label': '48B1', 'centralizer': None, 'counter': 85, 'group_counter': 2, 'group_order': 705600, 'label': '48B1', 'order': 48, 'powers': [56, 44, 86, 85], 'representative': 12919349904748, 'size': 4900}
  • id: 110864742
    {'aut_label': '48B5', 'centralizer': None, 'counter': 86, 'group_counter': 2, 'group_order': 705600, 'label': '48B5', 'order': 48, 'powers': [57, 45, 88, 86], 'representative': 15219652450965, 'size': 4900}
  • id: 110864743
    {'aut_label': '48B11', 'centralizer': None, 'counter': 87, 'group_counter': 2, 'group_order': 705600, 'label': '48B11', 'order': 48, 'powers': [57, 45, 85, 87], 'representative': 12722102882842, 'size': 4900}
  • id: 110864744
    {'aut_label': '48B17', 'centralizer': None, 'counter': 88, 'group_counter': 2, 'group_order': 705600, 'label': '48B17', 'order': 48, 'powers': [56, 44, 87, 88], 'representative': 17530139731039, 'size': 4900}
  • id: 110864745
    {'aut_label': '48C1', 'centralizer': None, 'counter': 89, 'group_counter': 2, 'group_order': 705600, 'label': '48C1', 'order': 48, 'powers': [58, 45, 91, 89], 'representative': 15974625531015, 'size': 4900}
  • id: 110864747
    {'aut_label': '48C1', 'centralizer': None, 'counter': 90, 'group_counter': 2, 'group_order': 705600, 'label': '48C-1', 'order': 48, 'powers': [59, 45, 92, 90], 'representative': 6132099743090, 'size': 4900}
  • id: 110864748
    {'aut_label': '48C5', 'centralizer': None, 'counter': 91, 'group_counter': 2, 'group_order': 705600, 'label': '48C5', 'order': 48, 'powers': [60, 44, 96, 91], 'representative': 29146227649331, 'size': 4900}
  • id: 110864749
    {'aut_label': '48C5', 'centralizer': None, 'counter': 92, 'group_counter': 2, 'group_order': 705600, 'label': '48C-5', 'order': 48, 'powers': [61, 44, 95, 92], 'representative': 5926439146071, 'size': 4900}
  • id: 110864750
    {'aut_label': '48C11', 'centralizer': None, 'counter': 93, 'group_counter': 2, 'group_order': 705600, 'label': '48C11', 'order': 48, 'powers': [60, 44, 89, 93], 'representative': 13245073660926, 'size': 4900}
  • id: 110864751
    {'aut_label': '48C11', 'centralizer': None, 'counter': 94, 'group_counter': 2, 'group_order': 705600, 'label': '48C-11', 'order': 48, 'powers': [61, 44, 90, 94], 'representative': 6473458085767, 'size': 4900}
  • id: 110864752
    {'aut_label': '48C17', 'centralizer': None, 'counter': 95, 'group_counter': 2, 'group_order': 705600, 'label': '48C17', 'order': 48, 'powers': [59, 45, 94, 95], 'representative': 14212383376582, 'size': 4900}
  • id: 110864753
    {'aut_label': '48C17', 'centralizer': None, 'counter': 96, 'group_counter': 2, 'group_order': 705600, 'label': '48C-17', 'order': 48, 'powers': [58, 45, 93, 96], 'representative': 14315349771066, 'size': 4900}
  • id: 110864754
    {'aut_label': '48D1', 'centralizer': None, 'counter': 97, 'group_counter': 2, 'group_order': 705600, 'label': '48D1', 'order': 48, 'powers': [52, 46, 99, 97], 'representative': 23587828071555, 'size': 14700}
  • id: 110864755
    {'aut_label': '48D1', 'centralizer': None, 'counter': 98, 'group_counter': 2, 'group_order': 705600, 'label': '48D-1', 'order': 48, 'powers': [53, 46, 100, 98], 'representative': 26760884887360, 'size': 14700}
  • id: 110864756
    {'aut_label': '48D5', 'centralizer': None, 'counter': 99, 'group_counter': 2, 'group_order': 705600, 'label': '48D5', 'order': 48, 'powers': [54, 47, 97, 99], 'representative': 145791824761, 'size': 14700}
  • id: 110864630
    {'aut_label': '48D5', 'centralizer': None, 'counter': 100, 'group_counter': 2, 'group_order': 705600, 'label': '48D-5', 'order': 48, 'powers': [55, 47, 98, 100], 'representative': 8563820342756, 'size': 14700}
  • id: 110864631
    {'aut_label': '50A1', 'centralizer': None, 'counter': 101, 'group_counter': 2, 'group_order': 705600, 'label': '50A1', 'order': 50, 'powers': [64, 102, 27, 101], 'representative': 25754063743747, 'size': 4704}
  • id: 110864632
    {'aut_label': '50A3', 'centralizer': None, 'counter': 102, 'group_counter': 2, 'group_order': 705600, 'label': '50A3', 'order': 50, 'powers': [66, 103, 27, 102], 'representative': 25773831967537, 'size': 4704}
  • id: 110864633
    {'aut_label': '50A9', 'centralizer': None, 'counter': 103, 'group_counter': 2, 'group_order': 705600, 'label': '50A9', 'order': 50, 'powers': [68, 104, 27, 103], 'representative': 19930169834568, 'size': 4704}
  • id: 110864634
    {'aut_label': '50A11', 'centralizer': None, 'counter': 104, 'group_counter': 2, 'group_order': 705600, 'label': '50A11', 'order': 50, 'powers': [65, 105, 27, 104], 'representative': 4394118004001, 'size': 4704}
  • id: 110864635
    {'aut_label': '50A17', 'centralizer': None, 'counter': 105, 'group_counter': 2, 'group_order': 705600, 'label': '50A17', 'order': 50, 'powers': [67, 101, 27, 105], 'representative': 26237573733680, 'size': 4704}
  • id: 110864636
    {'aut_label': '75A1', 'centralizer': None, 'counter': 106, 'group_counter': 2, 'group_order': 705600, 'label': '75A1', 'order': 75, 'powers': [108, 64, 42, 106], 'representative': 32255073512802, 'size': 4704}
  • id: 110864637
    {'aut_label': '75A1', 'centralizer': None, 'counter': 107, 'group_counter': 2, 'group_order': 705600, 'label': '75A-1', 'order': 75, 'powers': [109, 64, 43, 107], 'representative': 421948600946, 'size': 4704}
  • id: 110864638
    {'aut_label': '75A2', 'centralizer': None, 'counter': 108, 'group_counter': 2, 'group_order': 705600, 'label': '75A2', 'order': 75, 'powers': [110, 65, 43, 108], 'representative': 4825279283749, 'size': 4704}
  • id: 110864639
    {'aut_label': '75A2', 'centralizer': None, 'counter': 109, 'group_counter': 2, 'group_order': 705600, 'label': '75A-2', 'order': 75, 'powers': [111, 65, 42, 109], 'representative': 22115555507518, 'size': 4704}
  • id: 110864641
    {'aut_label': '75A4', 'centralizer': None, 'counter': 110, 'group_counter': 2, 'group_order': 705600, 'label': '75A4', 'order': 75, 'powers': [112, 66, 42, 110], 'representative': 1498430682781, 'size': 4704}
  • id: 110864642
    {'aut_label': '75A4', 'centralizer': None, 'counter': 111, 'group_counter': 2, 'group_order': 705600, 'label': '75A-4', 'order': 75, 'powers': [113, 66, 43, 111], 'representative': 8938075536586, 'size': 4704}
  • id: 110864643
    {'aut_label': '75A8', 'centralizer': None, 'counter': 112, 'group_counter': 2, 'group_order': 705600, 'label': '75A8', 'order': 75, 'powers': [114, 67, 43, 112], 'representative': 9689144311393, 'size': 4704}
  • id: 110864644
    {'aut_label': '75A8', 'centralizer': None, 'counter': 113, 'group_counter': 2, 'group_order': 705600, 'label': '75A-8', 'order': 75, 'powers': [115, 67, 42, 113], 'representative': 19670360675106, 'size': 4704}
  • id: 110864645
    {'aut_label': '75A13', 'centralizer': None, 'counter': 114, 'group_counter': 2, 'group_order': 705600, 'label': '75A13', 'order': 75, 'powers': [107, 68, 42, 114], 'representative': 20318494705556, 'size': 4704}
  • id: 110864646
    {'aut_label': '75A13', 'centralizer': None, 'counter': 115, 'group_counter': 2, 'group_order': 705600, 'label': '75A-13', 'order': 75, 'powers': [106, 68, 43, 115], 'representative': 15493702051388, 'size': 4704}
  • id: 110864647
    {'aut_label': '84A1', 'centralizer': None, 'counter': 116, 'group_counter': 2, 'group_order': 705600, 'label': '84A1', 'order': 84, 'powers': [73, 69, 118, 28], 'representative': 16747181684454, 'size': 8400}
  • id: 110864648
    {'aut_label': '84A1', 'centralizer': None, 'counter': 117, 'group_counter': 2, 'group_order': 705600, 'label': '84A-1', 'order': 84, 'powers': [74, 69, 119, 29], 'representative': 8583534482970, 'size': 8400}
  • id: 110864649
    {'aut_label': '84A1', 'centralizer': None, 'counter': 118, 'group_counter': 2, 'group_order': 705600, 'label': '84A5', 'order': 84, 'powers': [74, 70, 116, 29], 'representative': 28916792646680, 'size': 8400}
  • id: 110864650
    {'aut_label': '84A1', 'centralizer': None, 'counter': 119, 'group_counter': 2, 'group_order': 705600, 'label': '84A-5', 'order': 84, 'powers': [73, 70, 117, 28], 'representative': 21063607965123, 'size': 8400}
  • id: 110864652
    {'aut_label': '150A1', 'centralizer': None, 'counter': 120, 'group_counter': 2, 'group_order': 705600, 'label': '150A1', 'order': 150, 'powers': [106, 101, 71, 120], 'representative': 32158630792390, 'size': 4704}
  • id: 110864653
    {'aut_label': '150A1', 'centralizer': None, 'counter': 121, 'group_counter': 2, 'group_order': 705600, 'label': '150A-1', 'order': 150, 'powers': [107, 101, 72, 121], 'representative': 11695402431632, 'size': 4704}
  • id: 110864654
    {'aut_label': '150A11', 'centralizer': None, 'counter': 122, 'group_counter': 2, 'group_order': 705600, 'label': '150A11', 'order': 150, 'powers': [108, 104, 72, 122], 'representative': 9249163515356, 'size': 4704}
  • id: 110864655
    {'aut_label': '150A11', 'centralizer': None, 'counter': 123, 'group_counter': 2, 'group_order': 705600, 'label': '150A-11', 'order': 150, 'powers': [109, 104, 71, 123], 'representative': 22599389150193, 'size': 4704}
  • id: 110864656
    {'aut_label': '150A13', 'centralizer': None, 'counter': 124, 'group_counter': 2, 'group_order': 705600, 'label': '150A13', 'order': 150, 'powers': [114, 103, 71, 124], 'representative': 18337032445668, 'size': 4704}
  • id: 110864657
    {'aut_label': '150A13', 'centralizer': None, 'counter': 125, 'group_counter': 2, 'group_order': 705600, 'label': '150A-13', 'order': 150, 'powers': [115, 103, 72, 125], 'representative': 17774273664775, 'size': 4704}
  • id: 110864658
    {'aut_label': '150A17', 'centralizer': None, 'counter': 126, 'group_counter': 2, 'group_order': 705600, 'label': '150A17', 'order': 150, 'powers': [112, 105, 72, 126], 'representative': 17290763693700, 'size': 4704}
  • id: 110864659
    {'aut_label': '150A17', 'centralizer': None, 'counter': 127, 'group_counter': 2, 'group_order': 705600, 'label': '150A-17', 'order': 150, 'powers': [113, 105, 71, 127], 'representative': 2544221142021, 'size': 4704}
  • id: 110864660
    {'aut_label': '150A29', 'centralizer': None, 'counter': 128, 'group_counter': 2, 'group_order': 705600, 'label': '150A29', 'order': 150, 'powers': [111, 102, 72, 128], 'representative': 14268132068081, 'size': 4704}
  • id: 110864661
    {'aut_label': '150A29', 'centralizer': None, 'counter': 129, 'group_counter': 2, 'group_order': 705600, 'label': '150A-29', 'order': 150, 'powers': [110, 102, 71, 129], 'representative': 33214857180504, 'size': 4704}
• gps_qchar •

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

  
  
  • id: 4768604
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4768615
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4768626
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.1c', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, -1, -1, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4768637
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.1d', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -1, -1, 2, -1, -1, -2, 2, 2, -1, -1, 1, 1, 2, -1, -1, -2, 1, 1, 2, 2, 2, 2, -2, 2, 1, 1, -1, -1, 2, -1, -1, -2, 1, 1, 2, 2, -2, -2, -1, -1, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 2, 2, 2, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4768655
    {'cdim': 25, 'counter': 9, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.25a', 'multiplicity': 1, 'nt': [100, 0], 'qdim': 25, 'qvalues': [25, 25, -7, 25, 25, 1, 1, 1, 1, 1, 0, 25, 25, -7, -7, 1, 1, 1, -1, -1, -1, -3, 4, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -3, 4, 0, 0, 0, 0, -1, -1, -1, -1, 4, -3, 4, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -3, -3, 4, 4, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768605
    {'cdim': 25, 'counter': 10, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.25b', 'multiplicity': 1, 'nt': [100, 0], 'qdim': 25, 'qvalues': [25, 25, -1, 25, 25, 1, 1, 1, 7, 1, 0, 25, 25, -1, -1, 1, 1, 1, -1, -1, -1, 4, -3, 1, 1, -1, 0, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 4, -3, -1, -1, 0, 0, -1, -1, 1, 1, -3, 4, -3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -3, -3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768606
    {'cdim': 25, 'counter': 11, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.25c', 'multiplicity': 1, 'nt': [100, 0], 'qdim': 25, 'qvalues': [25, 25, 1, 25, 25, 1, 1, 1, -7, 1, 0, 25, 25, 1, 1, 1, 1, 1, 1, 1, 1, 4, -3, 1, 1, 1, 0, -7, -7, 1, 1, 1, 1, 1, -1, -1, -1, 4, -3, 1, 1, 0, 0, -1, -1, -1, -1, -3, 4, -3, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -3, -3, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768607
    {'cdim': 25, 'counter': 12, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.25d', 'multiplicity': 1, 'nt': [100, 0], 'qdim': 25, 'qvalues': [25, 25, 7, 25, 25, 1, 1, 1, -1, 1, 0, 25, 25, 7, 7, 1, 1, 1, 1, 1, 1, -3, 4, 1, 1, -1, 0, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -3, 4, 0, 0, 0, 0, -1, -1, 1, 1, 4, -3, 4, -3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, -3, -3, 4, 4, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768648
    {'cdim': 24, 'counter': 5, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.24a', 'multiplicity': 2, 'nt': [5600, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 48, 48, 0, 0, 0, 0, 0, -2, -48, -48, 0, 0, 0, 0, 0, 0, 0, 0, -8, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -6, 0, 0, -2, -2, 0, 0, 0, 0, 6, -8, 6, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 2, 2, 8, 8, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 1}
  • id: 4768652
    {'cdim': 24, 'counter': 6, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.24b', 'multiplicity': 2, 'nt': [11200, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 48, 48, 0, 0, 0, 0, 0, -2, -48, -48, 0, 0, 0, 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 8, 0, 0, -2, -2, 0, 0, 0, 0, -8, 6, -8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 2, 2, -6, -6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'schur_index': 2}
  • id: 4768612
    {'cdim': 49, 'counter': 17, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.49a', 'multiplicity': 1, 'nt': [50, 0], 'qdim': 49, 'qvalues': [49, 49, 7, 49, 49, 1, 1, 1, 7, 1, -1, 49, 49, 7, 7, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, -1, -1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4768613
    {'cdim': 49, 'counter': 18, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.49b', 'multiplicity': 1, 'nt': [100, 0], 'qdim': 49, 'qvalues': [49, 49, -7, 49, 49, 1, 1, 1, -7, 1, -1, 49, 49, -7, -7, 1, 1, 1, -1, -1, -1, 0, 0, 1, 1, 1, -1, -7, -7, 1, 1, 1, 1, 1, -1, -1, -1, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4768608
    {'cdim': 25, 'counter': 13, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.25e', 'multiplicity': 2, 'nt': [300, 0], 'qdim': 50, 'qvalues': [50, 50, -14, -25, -25, 2, -1, -1, 2, 2, 0, -25, -25, 7, 7, 2, -1, -1, -2, 1, 1, -6, 8, 2, 2, 2, 0, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -6, 8, 0, 0, 0, 0, -2, -2, -2, -2, -4, 3, -4, 3, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 3, 3, -4, -4, 0, 0, 0, 0, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768609
    {'cdim': 25, 'counter': 14, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.25f', 'multiplicity': 2, 'nt': [300, 0], 'qdim': 50, 'qvalues': [50, 50, -2, -25, -25, 2, -1, -1, 14, 2, 0, -25, -25, 1, 1, 2, -1, -1, -2, 1, 1, 8, -6, 2, 2, -2, 0, -7, -7, -1, -1, 2, -1, -1, 2, -1, -1, 8, -6, -2, -2, 0, 0, -2, -2, 2, 2, 3, -4, 3, -4, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 3, 3, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768610
    {'cdim': 25, 'counter': 15, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.25g', 'multiplicity': 2, 'nt': [300, 0], 'qdim': 50, 'qvalues': [50, 50, 2, -25, -25, 2, -1, -1, -14, 2, 0, -25, -25, -1, -1, 2, -1, -1, 2, -1, -1, 8, -6, 2, 2, 2, 0, 7, 7, -1, -1, 2, -1, -1, -2, 1, 1, 8, -6, 2, 2, 0, 0, -2, -2, -2, -2, 3, -4, 3, -4, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 3, 3, -1, -1, -1, -1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768611
    {'cdim': 25, 'counter': 16, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.25h', 'multiplicity': 2, 'nt': [300, 0], 'qdim': 50, 'qvalues': [50, 50, 14, -25, -25, 2, -1, -1, -2, 2, 0, -25, -25, -7, -7, 2, -1, -1, 2, -1, -1, -6, 8, 2, 2, -2, 0, 1, 1, -1, -1, 2, -1, -1, -2, 1, 1, -6, 8, 0, 0, 0, 0, -2, -2, 2, 2, -4, 3, -4, 3, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, 0, 0, 0, 0, 0, -2, -2, 0, 0, 3, 3, -4, -4, 0, 0, 0, 0, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768617
    {'cdim': 50, 'counter': 21, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50a', 'multiplicity': 1, 'nt': [150, 0], 'qdim': 50, 'qvalues': [50, 50, 8, 50, 50, -1, -1, -1, 8, 2, 0, 50, 50, 8, 8, -1, -1, -1, -1, -1, -1, 1, 1, 2, 2, 0, 0, 8, 8, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768618
    {'cdim': 50, 'counter': 22, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50b', 'multiplicity': 1, 'nt': [175, 0], 'qdim': 50, 'qvalues': [50, 50, 6, 50, 50, 2, 2, 2, 6, 2, 0, 50, 50, 6, 6, 2, 2, 2, 0, 0, 0, 1, 1, -2, -2, 2, 0, 6, 6, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768619
    {'cdim': 50, 'counter': 23, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50c', 'multiplicity': 1, 'nt': [200, 0], 'qdim': 50, 'qvalues': [50, 50, -6, 50, 50, 2, 2, 2, -6, 2, 0, 50, 50, -6, -6, 2, 2, 2, 0, 0, 0, 1, 1, -2, -2, -2, 0, -6, -6, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768620
    {'cdim': 50, 'counter': 24, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50d', 'multiplicity': 1, 'nt': [300, 0], 'qdim': 50, 'qvalues': [50, 50, -8, 50, 50, -1, -1, -1, -8, 2, 0, 50, 50, -8, -8, -1, -1, -1, 1, 1, 1, 1, 1, 2, 2, 0, 0, -8, -8, 2, 2, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768621
    {'cdim': 50, 'counter': 25, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50e', 'multiplicity': 1, 'nt': [300, 0], 'qdim': 50, 'qvalues': [50, 50, -8, 50, 50, -1, -1, -1, 8, 2, 0, 50, 50, -8, -8, -1, -1, -1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 8, 8, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 0, 0, -2, -2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768622
    {'cdim': 50, 'counter': 26, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50f', 'multiplicity': 1, 'nt': [300, 0], 'qdim': 50, 'qvalues': [50, 50, 8, 50, 50, -1, -1, -1, -8, 2, 0, 50, 50, 8, 8, -1, -1, -1, -1, -1, -1, 1, 1, 2, 2, 0, 0, -8, -8, 2, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 0, 0, -2, -2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768653
    {'cdim': 24, 'counter': 7, 'faithful': True, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.24c', 'multiplicity': 4, 'nt': [16800, 0], 'qdim': 96, 'qvalues': [96, -96, 0, -48, -48, 0, 0, 0, 0, 0, -4, 48, 48, 0, 0, 0, 0, 0, 0, 0, 0, -16, 12, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, -12, 0, 0, 2, 2, 0, 0, 0, 0, -6, 8, -6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, 0, 0, -2, -2, -8, -8, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 4768654
    {'cdim': 24, 'counter': 8, 'faithful': True, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.24d', 'multiplicity': 4, 'nt': [33600, 0], 'qdim': 96, 'qvalues': [96, -96, 0, -48, -48, 0, 0, 0, 0, 0, -4, 48, 48, 0, 0, 0, 0, 0, 0, 0, 0, 12, -16, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 16, 0, 0, 2, 2, 0, 0, 0, 0, 8, -6, 8, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, 0, 0, -2, -2, 6, 6, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2], 'schur_index': 1}
  • id: 4768634
    {'cdim': 96, 'counter': 37, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.96a', 'multiplicity': 1, 'nt': [1176, 0], 'qdim': 96, 'qvalues': [96, 96, 0, 96, 96, 0, 0, 0, 0, 0, -4, 96, 96, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -4, -4, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, -4, -4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4768635
    {'cdim': 96, 'counter': 38, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.96b', 'multiplicity': 1, 'nt': [5600, 0], 'qdim': 96, 'qvalues': [96, -96, 0, 96, 96, 0, 0, 0, 0, 0, -4, -96, -96, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -4, -4, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 2}
  • id: 4768614
    {'cdim': 49, 'counter': 19, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.49c', 'multiplicity': 2, 'nt': [150, 0], 'qdim': 98, 'qvalues': [98, 98, 14, -49, -49, 2, -1, -1, 14, 2, -2, -49, -49, -7, -7, 2, -1, -1, 2, -1, -1, 0, 0, 2, 2, -2, -2, -7, -7, -1, -1, 2, -1, -1, 2, -1, -1, 0, 0, 0, 0, 1, 1, 2, 2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 1, 1, -2, -2, -2, -2, -2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, 1, 1, 1, 1, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4768616
    {'cdim': 49, 'counter': 20, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.49d', 'multiplicity': 2, 'nt': [300, 0], 'qdim': 98, 'qvalues': [98, 98, -14, -49, -49, 2, -1, -1, -14, 2, -2, -49, -49, 7, 7, 2, -1, -1, -2, 1, 1, 0, 0, 2, 2, 2, -2, 7, 7, -1, -1, 2, -1, -1, -2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4768623
    {'cdim': 50, 'counter': 27, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50g', 'multiplicity': 2, 'nt': [150, 0], 'qdim': 100, 'qvalues': [100, 100, 16, -50, -50, -2, 1, 1, 16, 4, 0, -50, -50, -8, -8, -2, 1, 1, -2, 1, 1, 2, 2, 4, 4, 0, 0, -8, -8, -2, -2, -2, 1, 1, -2, 1, 1, 2, 2, 2, 2, 0, 0, 4, 4, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -2, 1, -2, -2, -2, 1, 1, -2, -2, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768624
    {'cdim': 50, 'counter': 28, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50h', 'multiplicity': 2, 'nt': [300, 0], 'qdim': 100, 'qvalues': [100, 100, -16, -50, -50, -2, 1, 1, -16, 4, 0, -50, -50, 8, 8, -2, 1, 1, 2, -1, -1, 2, 2, 4, 4, 0, 0, 8, 8, -2, -2, -2, 1, 1, 2, -1, -1, 2, 2, -2, -2, 0, 0, 4, 4, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, -2, 1, 1, -2, -2, 1, 1, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768625
    {'cdim': 50, 'counter': 29, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50i', 'multiplicity': 2, 'nt': [300, 0], 'qdim': 100, 'qvalues': [100, 100, -16, -50, -50, -2, 1, 1, 16, 4, 0, -50, -50, 8, 8, -2, 1, 1, 2, -1, -1, 2, 2, 4, 4, 0, 0, -8, -8, -2, -2, -2, 1, 1, -2, 1, 1, 2, 2, -2, -2, 0, 0, -4, -4, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 2, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768627
    {'cdim': 50, 'counter': 30, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50j', 'multiplicity': 2, 'nt': [300, 0], 'qdim': 100, 'qvalues': [100, 100, 16, -50, -50, -2, 1, 1, -16, 4, 0, -50, -50, -8, -8, -2, 1, 1, -2, 1, 1, 2, 2, 4, 4, 0, 0, 8, 8, -2, -2, -2, 1, 1, 2, -1, -1, 2, 2, 2, 2, 0, 0, -4, -4, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768628
    {'cdim': 50, 'counter': 31, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50k', 'multiplicity': 2, 'nt': [350, 0], 'qdim': 100, 'qvalues': [100, 100, -12, 100, 100, 4, 4, 4, 12, -4, 0, 100, 100, -12, -12, 4, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 0, 12, 12, -4, -4, -4, -4, -4, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768629
    {'cdim': 50, 'counter': 32, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50l', 'multiplicity': 2, 'nt': [350, 0], 'qdim': 100, 'qvalues': [100, 100, 12, 100, 100, 4, 4, 4, -12, -4, 0, 100, 100, 12, 12, 4, 4, 4, 0, 0, 0, 2, 2, 0, 0, 0, 0, -12, -12, -4, -4, -4, -4, -4, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768630
    {'cdim': 50, 'counter': 33, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50m', 'multiplicity': 2, 'nt': [525, 0], 'qdim': 100, 'qvalues': [100, 100, 12, -50, -50, 4, -2, -2, 12, 4, 0, -50, -50, -6, -6, 4, -2, -2, 0, 0, 0, 2, 2, -4, -4, 4, 0, -6, -6, -2, -2, 4, -2, -2, 0, 0, 0, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768631
    {'cdim': 50, 'counter': 34, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50n', 'multiplicity': 2, 'nt': [600, 0], 'qdim': 100, 'qvalues': [100, 100, -12, -50, -50, 4, -2, -2, -12, 4, 0, -50, -50, 6, 6, 4, -2, -2, 0, 0, 0, 2, 2, -4, -4, -4, 0, 6, 6, -2, -2, 4, -2, -2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, 2, 2, 2, -4, -4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768643
    {'cdim': 100, 'counter': 45, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.100a', 'multiplicity': 1, 'nt': [600, 0], 'qdim': 100, 'qvalues': [100, 100, 0, 100, 100, -2, -2, -2, 0, 4, 0, 100, 100, 0, 0, -2, -2, -2, 0, 0, 0, 2, 2, -4, -4, 0, 0, 0, 0, 4, 4, -2, -2, -2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -4, -4, -4, -4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768636
    {'cdim': 96, 'counter': 39, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.96c', 'multiplicity': 2, 'nt': [3528, 0], 'qdim': 192, 'qvalues': [192, 192, 0, -96, -96, 0, 0, 0, 0, 0, -8, -96, -96, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 4, 4, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 4768638
    {'cdim': 96, 'counter': 40, 'faithful': True, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.96d', 'multiplicity': 2, 'nt': [16800, 0], 'qdim': 192, 'qvalues': [192, -192, 0, -96, -96, 0, 0, 0, 0, 0, -8, 96, 96, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, -4, -4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 4768632
    {'cdim': 50, 'counter': 35, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50o', 'multiplicity': 4, 'nt': [1050, 0], 'qdim': 200, 'qvalues': [200, 200, -24, -100, -100, 8, -4, -4, 24, -8, 0, -100, -100, 12, 12, 8, -4, -4, 0, 0, 0, 4, 4, 0, 0, 0, 0, -12, -12, 4, 4, -8, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768633
    {'cdim': 50, 'counter': 36, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.50p', 'multiplicity': 4, 'nt': [1050, 0], 'qdim': 200, 'qvalues': [200, 200, 24, -100, -100, 8, -4, -4, -24, -8, 0, -100, -100, -12, -12, 8, -4, -4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 12, 12, 4, 4, -8, 4, 4, 0, 0, 0, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768644
    {'cdim': 100, 'counter': 46, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.100b', 'multiplicity': 2, 'nt': [600, 0], 'qdim': 200, 'qvalues': [200, 200, 0, -100, -100, -4, 2, 2, 0, 8, 0, -100, -100, 0, 0, -4, 2, 2, 0, 0, 0, 4, 4, -8, -8, 0, 0, 0, 0, -4, -4, -4, 2, 2, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768645
    {'cdim': 100, 'counter': 47, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.100c', 'multiplicity': 2, 'nt': [800, 0], 'qdim': 200, 'qvalues': [200, -200, 0, 200, 200, 8, 8, 8, 0, 0, 0, -200, -200, 0, 0, -8, -8, -8, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4768646
    {'cdim': 100, 'counter': 48, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.100d', 'multiplicity': 2, 'nt': [1200, 0], 'qdim': 200, 'qvalues': [200, 200, 0, 200, 200, -4, -4, -4, 0, -8, 0, 200, 200, 0, 0, -4, -4, -4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768647
    {'cdim': 100, 'counter': 49, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.100e', 'multiplicity': 4, 'nt': [1200, 0], 'qdim': 400, 'qvalues': [400, 400, 0, -200, -200, -8, 4, 4, 0, -16, 0, -200, -200, 0, 0, -8, 4, 4, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, -4, -4, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768649
    {'cdim': 100, 'counter': 50, 'faithful': True, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.100f', 'multiplicity': 4, 'nt': [2400, 0], 'qdim': 400, 'qvalues': [400, -400, 0, -200, -200, 16, -8, -8, 0, 0, 0, 200, 200, 0, 0, -16, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768650
    {'cdim': 100, 'counter': 51, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.100g', 'multiplicity': 4, 'nt': [2400, 0], 'qdim': 400, 'qvalues': [400, -400, 0, 400, 400, -8, -8, -8, 0, 0, 0, -400, -400, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4768639
    {'cdim': 96, 'counter': 41, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.96e', 'multiplicity': 5, 'nt': [980, 0], 'qdim': 480, 'qvalues': [480, 480, 0, 480, 480, 0, 0, 0, 0, 0, 5, 480, 480, 0, 0, 0, 0, 0, 0, 0, 0, -10, -10, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, -10, 0, 0, 5, 5, 0, 0, 0, 0, -10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, -10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768640
    {'cdim': 96, 'counter': 42, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.96f', 'multiplicity': 5, 'nt': [5600, 0], 'qdim': 480, 'qvalues': [480, -480, 0, 480, 480, 0, 0, 0, 0, 0, 5, -480, -480, 0, 0, 0, 0, 0, 0, 0, 0, -10, -10, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 10, 0, 0, 5, 5, 0, 0, 0, 0, -10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, -5, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 4768651
    {'cdim': 100, 'counter': 52, 'faithful': True, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.100h', 'multiplicity': 8, 'nt': [2400, 0], 'qdim': 800, 'qvalues': [800, -800, 0, -400, -400, -16, 8, 8, 0, 0, 0, 400, 400, 0, 0, 16, -8, -8, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768641
    {'cdim': 96, 'counter': 43, 'faithful': False, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.96g', 'multiplicity': 10, 'nt': [2940, 0], 'qdim': 960, 'qvalues': [960, 960, 0, -480, -480, 0, 0, 0, 0, 0, 10, -480, -480, 0, 0, 0, 0, 0, 0, 0, 0, -20, -20, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, -20, 0, 0, -5, -5, 0, 0, 0, 0, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, -5, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 4768642
    {'cdim': 96, 'counter': 44, 'faithful': True, 'group': '705600.b', 'group_order': 705600, 'image': None, 'label': '705600.b.96h', 'multiplicity': 10, 'nt': [16800, 0], 'qdim': 960, 'qvalues': [960, -960, 0, -480, -480, 0, 0, 0, 0, 0, 10, 480, 480, 0, 0, 0, 0, 0, 0, 0, 0, -20, -20, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20, 0, 0, -5, -5, 0, 0, 0, 0, 10, 10, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, -10, -10, -10, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 7771591
    {'center': None, 'center_index': 1, 'center_order': 705600, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': None, 'kernel_order': 705600, 'label': '705600.b.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7771632
    {'center': None, 'center_index': 1, 'center_order': 705600, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': None, 'kernel_order': 352800, 'label': '705600.b.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7771643
    {'center': None, 'center_index': 1, 'center_order': 705600, 'counter': 3, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': None, 'kernel_order': 235200, 'label': '705600.b.1c1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 7771654
    {'center': None, 'center_index': 1, 'center_order': 705600, 'counter': 4, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': None, 'kernel_order': 235200, 'label': '705600.b.1c2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 7771665
    {'center': None, 'center_index': 1, 'center_order': 705600, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': None, 'kernel_order': 117600, 'label': '705600.b.1d1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 7771676
    {'center': None, 'center_index': 1, 'center_order': 705600, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': None, 'kernel_order': 117600, 'label': '705600.b.1d2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 7771687
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 7, 'cyclotomic_n': 7, 'dim': 24, 'faithful': False, 'field': [2, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': 0, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.24a1', 'nt': [5600, 0], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, 0]], [[24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, 0]], [[-24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-3, 0]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-4, 0]], [[3, 0]], [[-4, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7771698
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 8, 'cyclotomic_n': 7, 'dim': 24, 'faithful': False, 'field': [2, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': 0, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.24a2', 'nt': [5600, 2], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, 0]], [[24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, 0]], [[-24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-3, 0]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-4, 0]], [[3, 0]], [[-4, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[4, 0]], [[-3, 0]], [[-3, 0]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[-1, 0], [-2, 1], [-2, 2], [-2, -3]], [[1, 0], [2, 1], [2, 2], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7771709
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 9, 'cyclotomic_n': 28, 'dim': 24, 'faithful': False, 'field': [-7, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.24b1', 'nt': [11200, 0], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, 0]], [[24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, 0]], [[-24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[3, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1], [1, 7], [-2, 9], [2, 11]], [[2, 1], [-1, 7], [2, 9], [-2, 11]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1], [1, 7], [-2, 9], [2, 11]], [[-2, 1], [1, 7], [-2, 9], [2, 11]], [[2, 1], [-1, 7], [2, 9], [-2, 11]], [[2, 1], [-1, 7], [2, 9], [-2, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7771592
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 10, 'cyclotomic_n': 28, 'dim': 24, 'faithful': False, 'field': [-7, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.24b2', 'nt': [11200, 0], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, 0]], [[24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, 0]], [[-24, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[3, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [-1, 7], [2, 9], [-2, 11]], [[-2, 1], [1, 7], [-2, 9], [2, 11]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [-1, 7], [2, 9], [-2, 11]], [[2, 1], [-1, 7], [2, 9], [-2, 11]], [[-2, 1], [1, 7], [-2, 9], [2, 11]], [[-2, 1], [1, 7], [-2, 9], [2, 11]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7771603
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 11, 'cyclotomic_n': 21, 'dim': 24, 'faithful': True, 'field': [4, -2, -1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.24c1', 'nt': [16800, 0], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, -7]], [[24, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, 7]], [[-24, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-3, 0]], [[1, 0], [-2, 1], [-2, 4], [-2, 8], [2, 9], [-2, -10]], [[-1, 0], [2, 1], [2, 4], [2, 8], [-2, 9], [2, -10]], [[-1, 7]], [[-1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -7]], [[-4, 7]], [[3, 7]], [[-4, -7]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, -7]], [[1, 7]], [[4, 7]], [[4, -7]], [[-3, 7]], [[-3, -7]], [[-1, 0], [2, 2], [-1, 7], [2, 8], [2, -10]], [[1, 0], [-2, 2], [1, 7], [-2, 8], [-2, -10]], [[-2, 1], [2, 2], [-2, 4], [-1, 7], [2, 9]], [[2, 1], [-2, 2], [2, 4], [1, 7], [-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -7]], [[-1, -7]], [[-1, -7]], [[-1, -7]], [[-1, 7]], [[-1, 7]], [[-1, -7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -7]], [[1, -7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, -7]], [[1, 7]], [[1, -7]], [[1, -7]]]}
  • id: 7771614
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 12, 'cyclotomic_n': 21, 'dim': 24, 'faithful': True, 'field': [4, -2, -1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.24c2', 'nt': [16800, 4], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, 7]], [[24, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, -7]], [[-24, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-3, 0]], [[-1, 0], [2, 1], [2, 4], [2, 8], [-2, 9], [2, -10]], [[1, 0], [-2, 1], [-2, 4], [-2, 8], [2, 9], [-2, -10]], [[-1, -7]], [[-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 7]], [[-4, -7]], [[3, -7]], [[-4, 7]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 7]], [[1, -7]], [[4, -7]], [[4, 7]], [[-3, -7]], [[-3, 7]], [[-2, 1], [2, 2], [-2, 4], [-1, 7], [2, 9]], [[2, 1], [-2, 2], [2, 4], [1, 7], [-2, 9]], [[-1, 0], [2, 2], [-1, 7], [2, 8], [2, -10]], [[1, 0], [-2, 2], [1, 7], [-2, 8], [-2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, -7]], [[-1, -7]], [[-1, 7]], [[-1, -7]], [[-1, -7]], [[-1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7]], [[1, 7]], [[1, -7]], [[1, -7]], [[1, -7]], [[1, -7]], [[1, 7]], [[1, -7]], [[1, 7]], [[1, 7]]]}
  • id: 7771625
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 13, 'cyclotomic_n': 21, 'dim': 24, 'faithful': True, 'field': [4, -2, -1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.24c3', 'nt': [16800, 0], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, -7]], [[24, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, 7]], [[-24, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-3, 0]], [[-1, 0], [2, 1], [2, 4], [2, 8], [-2, 9], [2, -10]], [[1, 0], [-2, 1], [-2, 4], [-2, 8], [2, 9], [-2, -10]], [[-1, 7]], [[-1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, -7]], [[-4, 7]], [[3, 7]], [[-4, -7]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, -7]], [[1, 7]], [[4, 7]], [[4, -7]], [[-3, 7]], [[-3, -7]], [[1, 0], [-2, 2], [1, 7], [-2, 8], [-2, -10]], [[-1, 0], [2, 2], [-1, 7], [2, 8], [2, -10]], [[2, 1], [-2, 2], [2, 4], [1, 7], [-2, 9]], [[-2, 1], [2, 2], [-2, 4], [-1, 7], [2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -7]], [[-1, -7]], [[-1, -7]], [[-1, -7]], [[-1, 7]], [[-1, 7]], [[-1, -7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -7]], [[1, -7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, 7]], [[1, -7]], [[1, 7]], [[1, -7]], [[1, -7]]]}
  • id: 7771626
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 14, 'cyclotomic_n': 21, 'dim': 24, 'faithful': True, 'field': [4, -2, -1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.24c4', 'nt': [16800, 4], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, 7]], [[24, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, -7]], [[-24, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-3, 0]], [[1, 0], [-2, 1], [-2, 4], [-2, 8], [2, 9], [-2, -10]], [[-1, 0], [2, 1], [2, 4], [2, 8], [-2, 9], [2, -10]], [[-1, -7]], [[-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 7]], [[-4, -7]], [[3, -7]], [[-4, 7]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 7]], [[1, -7]], [[4, -7]], [[4, 7]], [[-3, -7]], [[-3, 7]], [[2, 1], [-2, 2], [2, 4], [1, 7], [-2, 9]], [[-2, 1], [2, 2], [-2, 4], [-1, 7], [2, 9]], [[1, 0], [-2, 2], [1, 7], [-2, 8], [-2, -10]], [[-1, 0], [2, 2], [-1, 7], [2, 8], [2, -10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, 7]], [[-1, -7]], [[-1, -7]], [[-1, 7]], [[-1, -7]], [[-1, -7]], [[-1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 7]], [[1, 7]], [[1, -7]], [[1, -7]], [[1, -7]], [[1, -7]], [[1, 7]], [[1, -7]], [[1, 7]], [[1, 7]]]}
  • id: 7771627
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 15, 'cyclotomic_n': 84, 'dim': 24, 'faithful': True, 'field': [49, 0, 7, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.24d1', 'nt': [33600, 0], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[-24, 14]], [[24, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, 28]], [[24, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 28]], [[1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 14]], [[3, 28]], [[-4, 28]], [[-3, 14]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1], [-2, 3], [2, 7], [-2, 11], [-2, 13], [2, 15], [2, 17], [2, 19], [-1, 21], [-2, 23]], [[2, 1], [2, 3], [-2, 7], [2, 11], [2, 13], [-2, 15], [-2, 17], [-2, 19], [1, 21], [2, 23]], [[-1, 14]], [[1, 28]], [[-3, 28]], [[3, 14]], [[4, 28]], [[-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 14]], [[1, 14]], [[1, 14]], [[1, 14]], [[-1, 28]], [[-1, 28]], [[1, 14]], [[-1, 28]], [[-1, 28]], [[-1, 28]], [[2, 3], [-1, 7], [2, 13], [-2, 17], [-2, 19]], [[2, 1], [-1, 7], [2, 11], [-2, 15], [1, 21], [2, 23]], [[-2, 1], [1, 7], [-2, 11], [2, 15], [-1, 21], [-2, 23]], [[-2, 3], [1, 7], [-2, 13], [2, 17], [2, 19]], [[-1, 14]], [[-1, 14]], [[1, 28]], [[1, 28]], [[1, 28]], [[1, 28]], [[-1, 14]], [[1, 28]], [[-1, 14]], [[-1, 14]]]}
  • id: 7771628
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 16, 'cyclotomic_n': 84, 'dim': 24, 'faithful': True, 'field': [49, 0, 7, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.24d2', 'nt': [33600, 4], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, 28]], [[-24, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[24, 14]], [[-24, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[1, 14]], [[-1, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 28]], [[-3, 14]], [[4, 14]], [[3, 28]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1], [-2, 3], [2, 7], [-2, 11], [-2, 13], [2, 15], [2, 17], [2, 19], [-1, 21], [-2, 23]], [[2, 1], [2, 3], [-2, 7], [2, 11], [2, 13], [-2, 15], [-2, 17], [-2, 19], [1, 21], [2, 23]], [[1, 28]], [[-1, 14]], [[3, 14]], [[-3, 28]], [[-4, 14]], [[4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 28]], [[-1, 28]], [[-1, 28]], [[-1, 28]], [[1, 14]], [[1, 14]], [[-1, 28]], [[1, 14]], [[1, 14]], [[1, 14]], [[2, 1], [-1, 7], [2, 11], [-2, 15], [1, 21], [2, 23]], [[2, 3], [-1, 7], [2, 13], [-2, 17], [-2, 19]], [[-2, 3], [1, 7], [-2, 13], [2, 17], [2, 19]], [[-2, 1], [1, 7], [-2, 11], [2, 15], [-1, 21], [-2, 23]], [[1, 28]], [[1, 28]], [[-1, 14]], [[-1, 14]], [[-1, 14]], [[-1, 14]], [[1, 28]], [[-1, 14]], [[1, 28]], [[1, 28]]]}
  • id: 7771629
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 17, 'cyclotomic_n': 84, 'dim': 24, 'faithful': True, 'field': [49, 0, 7, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.24d3', 'nt': [33600, 0], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[-24, 14]], [[24, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-24, 28]], [[24, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-1, 28]], [[1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 14]], [[3, 28]], [[-4, 28]], [[-3, 14]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, 3], [-2, 7], [2, 11], [2, 13], [-2, 15], [-2, 17], [-2, 19], [1, 21], [2, 23]], [[-2, 1], [-2, 3], [2, 7], [-2, 11], [-2, 13], [2, 15], [2, 17], [2, 19], [-1, 21], [-2, 23]], [[-1, 14]], [[1, 28]], [[-3, 28]], [[3, 14]], [[4, 28]], [[-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 14]], [[1, 14]], [[1, 14]], [[1, 14]], [[-1, 28]], [[-1, 28]], [[1, 14]], [[-1, 28]], [[-1, 28]], [[-1, 28]], [[-2, 3], [1, 7], [-2, 13], [2, 17], [2, 19]], [[-2, 1], [1, 7], [-2, 11], [2, 15], [-1, 21], [-2, 23]], [[2, 1], [-1, 7], [2, 11], [-2, 15], [1, 21], [2, 23]], [[2, 3], [-1, 7], [2, 13], [-2, 17], [-2, 19]], [[-1, 14]], [[-1, 14]], [[1, 28]], [[1, 28]], [[1, 28]], [[1, 28]], [[-1, 14]], [[1, 28]], [[-1, 14]], [[-1, 14]]]}
  • id: 7771630
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 18, 'cyclotomic_n': 84, 'dim': 24, 'faithful': True, 'field': [49, 0, 7, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.24d4', 'nt': [33600, 4], 'q_character': None, 'values': [[[24, 0]], [[-24, 0]], [[0, 0]], [[24, 28]], [[-24, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[24, 14]], [[-24, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[1, 14]], [[-1, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 28]], [[-3, 14]], [[4, 14]], [[3, 28]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1], [2, 3], [-2, 7], [2, 11], [2, 13], [-2, 15], [-2, 17], [-2, 19], [1, 21], [2, 23]], [[-2, 1], [-2, 3], [2, 7], [-2, 11], [-2, 13], [2, 15], [2, 17], [2, 19], [-1, 21], [-2, 23]], [[1, 28]], [[-1, 14]], [[3, 14]], [[-3, 28]], [[-4, 14]], [[4, 28]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 28]], [[-1, 28]], [[-1, 28]], [[-1, 28]], [[1, 14]], [[1, 14]], [[-1, 28]], [[1, 14]], [[1, 14]], [[1, 14]], [[-2, 1], [1, 7], [-2, 11], [2, 15], [-1, 21], [-2, 23]], [[-2, 3], [1, 7], [-2, 13], [2, 17], [2, 19]], [[2, 3], [-1, 7], [2, 13], [-2, 17], [-2, 19]], [[2, 1], [-1, 7], [2, 11], [-2, 15], [1, 21], [2, 23]], [[1, 28]], [[1, 28]], [[-1, 14]], [[-1, 14]], [[-1, 14]], [[-1, 14]], [[1, 28]], [[-1, 14]], [[1, 28]], [[1, 28]]]}
  • id: 7771631
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 19, 'cyclotomic_n': 1, 'dim': 25, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.25a', 'nt': [100, 0], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[-7, 0]], [[25, 0]], [[25, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[25, 0]], [[25, 0]], [[-7, 0]], [[-7, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-3, 0]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771633
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 20, 'cyclotomic_n': 1, 'dim': 25, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.25b', 'nt': [100, 0], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[-1, 0]], [[25, 0]], [[25, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[7, 0]], [[1, 0]], [[0, 0]], [[25, 0]], [[25, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[7, 0]], [[7, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[4, 0]], [[-3, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771634
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 21, 'cyclotomic_n': 1, 'dim': 25, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.25c', 'nt': [100, 0], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[1, 0]], [[25, 0]], [[25, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-7, 0]], [[1, 0]], [[0, 0]], [[25, 0]], [[25, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-7, 0]], [[-7, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[4, 0]], [[-3, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771635
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 22, 'cyclotomic_n': 1, 'dim': 25, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.25d', 'nt': [100, 0], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[7, 0]], [[25, 0]], [[25, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[25, 0]], [[25, 0]], [[7, 0]], [[7, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-3, 0]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771636
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 23, 'cyclotomic_n': 3, 'dim': 25, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.25e1', 'nt': [300, 0], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[-7, 0]], [[25, -1]], [[25, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[0, 0]], [[25, 1]], [[25, -1]], [[-7, 1]], [[-7, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-3, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, -1]], [[-3, 1]], [[4, 1]], [[-3, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, -1]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771637
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 24, 'cyclotomic_n': 3, 'dim': 25, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.25e2', 'nt': [300, 2], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[-7, 0]], [[25, 1]], [[25, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[0, 0]], [[25, -1]], [[25, 1]], [[-7, -1]], [[-7, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-3, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[4, 1]], [[-3, -1]], [[4, -1]], [[-3, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, 1]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771638
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 25, 'cyclotomic_n': 3, 'dim': 25, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.25f1', 'nt': [300, 0], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[-1, 0]], [[25, -1]], [[25, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[7, 0]], [[1, 0]], [[0, 0]], [[25, 1]], [[25, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[7, -1]], [[7, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[4, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-3, -1]], [[4, 1]], [[-3, 1]], [[4, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[-3, 1]], [[-3, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771639
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 26, 'cyclotomic_n': 3, 'dim': 25, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.25f2', 'nt': [300, 2], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[-1, 0]], [[25, 1]], [[25, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[7, 0]], [[1, 0]], [[0, 0]], [[25, -1]], [[25, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[7, 1]], [[7, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[4, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-3, 1]], [[4, -1]], [[-3, -1]], [[4, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[-3, -1]], [[-3, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771640
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 27, 'cyclotomic_n': 3, 'dim': 25, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.25g1', 'nt': [300, 0], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[1, 0]], [[25, -1]], [[25, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-7, 0]], [[1, 0]], [[0, 0]], [[25, 1]], [[25, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-7, -1]], [[-7, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, -1]], [[4, 1]], [[-3, 1]], [[4, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[-3, 1]], [[-3, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771641
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 28, 'cyclotomic_n': 3, 'dim': 25, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.25g2', 'nt': [300, 2], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[1, 0]], [[25, 1]], [[25, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-7, 0]], [[1, 0]], [[0, 0]], [[25, -1]], [[25, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-7, 1]], [[-7, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[4, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 1]], [[4, -1]], [[-3, -1]], [[4, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[-3, -1]], [[-3, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771642
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 29, 'cyclotomic_n': 3, 'dim': 25, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.25h1', 'nt': [300, 0], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[7, 0]], [[25, -1]], [[25, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[0, 0]], [[25, 1]], [[25, -1]], [[7, 1]], [[7, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-3, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[4, -1]], [[-3, 1]], [[4, 1]], [[-3, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-3, 1]], [[-3, -1]], [[4, 1]], [[4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771644
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 30, 'cyclotomic_n': 3, 'dim': 25, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.25h2', 'nt': [300, 2], 'q_character': None, 'values': [[[25, 0]], [[25, 0]], [[7, 0]], [[25, 1]], [[25, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[0, 0]], [[25, -1]], [[25, 1]], [[7, -1]], [[7, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-3, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-3, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[4, 1]], [[-3, -1]], [[4, -1]], [[-3, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-3, -1]], [[-3, 1]], [[4, -1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771645
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 31, 'cyclotomic_n': 1, 'dim': 49, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.49a', 'nt': [50, 0], 'q_character': None, 'values': [[[49, 0]], [[49, 0]], [[7, 0]], [[49, 0]], [[49, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[7, 0]], [[1, 0]], [[-1, 0]], [[49, 0]], [[49, 0]], [[7, 0]], [[7, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[7, 0]], [[7, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7771646
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 32, 'cyclotomic_n': 1, 'dim': 49, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.49b', 'nt': [100, 0], 'q_character': None, 'values': [[[49, 0]], [[49, 0]], [[-7, 0]], [[49, 0]], [[49, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-7, 0]], [[1, 0]], [[-1, 0]], [[49, 0]], [[49, 0]], [[-7, 0]], [[-7, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-7, 0]], [[-7, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7771647
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 33, 'cyclotomic_n': 3, 'dim': 49, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.49c1', 'nt': [150, 0], 'q_character': None, 'values': [[[49, 0]], [[49, 0]], [[7, 0]], [[49, -1]], [[49, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[7, 0]], [[1, 0]], [[-1, 0]], [[49, 1]], [[49, -1]], [[7, 1]], [[7, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[7, -1]], [[7, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 7771648
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 34, 'cyclotomic_n': 3, 'dim': 49, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.49c2', 'nt': [150, 2], 'q_character': None, 'values': [[[49, 0]], [[49, 0]], [[7, 0]], [[49, 1]], [[49, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[7, 0]], [[1, 0]], [[-1, 0]], [[49, -1]], [[49, 1]], [[7, -1]], [[7, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[7, 1]], [[7, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 7771649
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 35, 'cyclotomic_n': 3, 'dim': 49, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.49d1', 'nt': [300, 0], 'q_character': None, 'values': [[[49, 0]], [[49, 0]], [[-7, 0]], [[49, -1]], [[49, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-7, 0]], [[1, 0]], [[-1, 0]], [[49, 1]], [[49, -1]], [[-7, 1]], [[-7, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-7, -1]], [[-7, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 7771650
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 36, 'cyclotomic_n': 3, 'dim': 49, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.49d2', 'nt': [300, 2], 'q_character': None, 'values': [[[49, 0]], [[49, 0]], [[-7, 0]], [[49, 1]], [[49, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-7, 0]], [[1, 0]], [[-1, 0]], [[49, -1]], [[49, 1]], [[-7, -1]], [[-7, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-7, 1]], [[-7, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 7771651
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 37, 'cyclotomic_n': 1, 'dim': 50, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50a', 'nt': [150, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[8, 0]], [[50, 0]], [[50, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771652
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 38, 'cyclotomic_n': 1, 'dim': 50, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50b', 'nt': [175, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[50, 0]], [[50, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771653
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 39, 'cyclotomic_n': 1, 'dim': 50, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50c', 'nt': [200, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[50, 0]], [[50, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771655
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 40, 'cyclotomic_n': 1, 'dim': 50, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50d', 'nt': [300, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-8, 0]], [[50, 0]], [[50, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-8, 0]], [[2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[-8, 0]], [[-8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771656
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 41, 'cyclotomic_n': 1, 'dim': 50, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50e', 'nt': [300, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-8, 0]], [[50, 0]], [[50, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[8, 0]], [[2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[-8, 0]], [[-8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771657
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 42, 'cyclotomic_n': 1, 'dim': 50, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50f', 'nt': [300, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[8, 0]], [[50, 0]], [[50, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-8, 0]], [[2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[8, 0]], [[8, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771658
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 43, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50g1', 'nt': [150, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[8, 0]], [[50, -1]], [[50, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[8, 0]], [[2, 0]], [[0, 0]], [[50, 1]], [[50, -1]], [[8, 1]], [[8, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[8, -1]], [[8, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771659
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 44, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50g2', 'nt': [150, 2], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[8, 0]], [[50, 1]], [[50, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[8, 0]], [[2, 0]], [[0, 0]], [[50, -1]], [[50, 1]], [[8, -1]], [[8, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[8, 1]], [[8, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771660
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 45, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50h1', 'nt': [300, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-8, 0]], [[50, -1]], [[50, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-8, 0]], [[2, 0]], [[0, 0]], [[50, 1]], [[50, -1]], [[-8, 1]], [[-8, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-8, -1]], [[-8, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771661
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 46, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50h2', 'nt': [300, 2], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-8, 0]], [[50, 1]], [[50, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-8, 0]], [[2, 0]], [[0, 0]], [[50, -1]], [[50, 1]], [[-8, -1]], [[-8, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-8, 1]], [[-8, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771662
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 47, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50i1', 'nt': [300, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-8, 0]], [[50, -1]], [[50, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[8, 0]], [[2, 0]], [[0, 0]], [[50, 1]], [[50, -1]], [[-8, 1]], [[-8, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[8, -1]], [[8, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771663
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 48, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50i2', 'nt': [300, 2], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-8, 0]], [[50, 1]], [[50, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[8, 0]], [[2, 0]], [[0, 0]], [[50, -1]], [[50, 1]], [[-8, -1]], [[-8, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[8, 1]], [[8, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771664
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 49, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50j1', 'nt': [300, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[8, 0]], [[50, -1]], [[50, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-8, 0]], [[2, 0]], [[0, 0]], [[50, 1]], [[50, -1]], [[8, 1]], [[8, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-8, -1]], [[-8, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771666
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 50, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50j2', 'nt': [300, 2], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[8, 0]], [[50, 1]], [[50, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-8, 0]], [[2, 0]], [[0, 0]], [[50, -1]], [[50, 1]], [[8, -1]], [[8, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-8, 1]], [[-8, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771667
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 51, 'cyclotomic_n': 8, 'dim': 50, 'faithful': False, 'field': [-2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50k1', 'nt': [350, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[50, 0]], [[50, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[-2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771668
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 52, 'cyclotomic_n': 8, 'dim': 50, 'faithful': False, 'field': [-2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50k2', 'nt': [350, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[50, 0]], [[50, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[6, 0]], [[-2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[-6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771669
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 53, 'cyclotomic_n': 8, 'dim': 50, 'faithful': False, 'field': [-2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50l1', 'nt': [350, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[50, 0]], [[50, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[-2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771670
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 54, 'cyclotomic_n': 8, 'dim': 50, 'faithful': False, 'field': [-2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.50l2', 'nt': [350, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[50, 0]], [[50, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-6, 0]], [[-2, 0]], [[0, 0]], [[50, 0]], [[50, 0]], [[6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771671
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 55, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50m1', 'nt': [525, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[50, -1]], [[50, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[6, 0]], [[2, 0]], [[0, 0]], [[50, 1]], [[50, -1]], [[6, 1]], [[6, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771672
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 56, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50m2', 'nt': [525, 2], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[50, 1]], [[50, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[6, 0]], [[2, 0]], [[0, 0]], [[50, -1]], [[50, 1]], [[6, -1]], [[6, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771673
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 57, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50n1', 'nt': [600, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[50, -1]], [[50, 1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-6, 0]], [[2, 0]], [[0, 0]], [[50, 1]], [[50, -1]], [[-6, 1]], [[-6, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-6, -1]], [[-6, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771674
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 58, 'cyclotomic_n': 3, 'dim': 50, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50n2', 'nt': [600, 2], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[50, 1]], [[50, -1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-6, 0]], [[2, 0]], [[0, 0]], [[50, -1]], [[50, 1]], [[-6, -1]], [[-6, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-6, 1]], [[-6, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771675
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 59, 'cyclotomic_n': 24, 'dim': 50, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50o1', 'nt': [1050, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[-50, 4]], [[50, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[6, 0]], [[-2, 0]], [[0, 0]], [[50, 8]], [[-50, 4]], [[-6, 8]], [[6, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 4]], [[6, 8]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771677
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 60, 'cyclotomic_n': 24, 'dim': 50, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50o2', 'nt': [1050, 4], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[50, 8]], [[-50, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[6, 0]], [[-2, 0]], [[0, 0]], [[-50, 4]], [[50, 8]], [[6, 4]], [[-6, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 8]], [[-6, 4]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771678
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 61, 'cyclotomic_n': 24, 'dim': 50, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50o3', 'nt': [1050, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[-50, 4]], [[50, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[6, 0]], [[-2, 0]], [[0, 0]], [[50, 8]], [[-50, 4]], [[-6, 8]], [[6, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 4]], [[6, 8]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771679
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 62, 'cyclotomic_n': 24, 'dim': 50, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50o4', 'nt': [1050, 4], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[-6, 0]], [[50, 8]], [[-50, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[6, 0]], [[-2, 0]], [[0, 0]], [[-50, 4]], [[50, 8]], [[6, 4]], [[-6, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 8]], [[-6, 4]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771680
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 63, 'cyclotomic_n': 24, 'dim': 50, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50p1', 'nt': [1050, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[-50, 4]], [[50, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-6, 0]], [[-2, 0]], [[0, 0]], [[50, 8]], [[-50, 4]], [[6, 8]], [[-6, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 4]], [[-6, 8]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771681
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 64, 'cyclotomic_n': 24, 'dim': 50, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50p2', 'nt': [1050, 4], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[50, 8]], [[-50, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-6, 0]], [[-2, 0]], [[0, 0]], [[-50, 4]], [[50, 8]], [[-6, 4]], [[6, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 8]], [[6, 4]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771682
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 65, 'cyclotomic_n': 24, 'dim': 50, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50p3', 'nt': [1050, 0], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[-50, 4]], [[50, 8]], [[2, 0]], [[2, 8]], [[-2, 4]], [[-6, 0]], [[-2, 0]], [[0, 0]], [[50, 8]], [[-50, 4]], [[6, 8]], [[-6, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 4]], [[-6, 8]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771683
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 66, 'cyclotomic_n': 24, 'dim': 50, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.50p4', 'nt': [1050, 4], 'q_character': None, 'values': [[[50, 0]], [[50, 0]], [[6, 0]], [[50, 8]], [[-50, 4]], [[2, 0]], [[-2, 4]], [[2, 8]], [[-6, 0]], [[-2, 0]], [[0, 0]], [[-50, 4]], [[50, 8]], [[-6, 4]], [[6, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 8]], [[6, 4]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 8]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4]], [[1, 8]], [[1, 8]], [[-1, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771684
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 67, 'cyclotomic_n': 1, 'dim': 96, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.96a', 'nt': [1176, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 7771685
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 68, 'cyclotomic_n': 1, 'dim': 96, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.96b', 'nt': [5600, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-96, 0]], [[-96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 7771686
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 69, 'cyclotomic_n': 3, 'dim': 96, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96c1', 'nt': [3528, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, -1]], [[96, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[96, 1]], [[96, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 7771688
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 70, 'cyclotomic_n': 3, 'dim': 96, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96c2', 'nt': [3528, 2], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 1]], [[96, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[96, -1]], [[96, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 7771689
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 71, 'cyclotomic_n': 3, 'dim': 96, 'faithful': True, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96d1', 'nt': [16800, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, -1]], [[96, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-96, 1]], [[-96, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 7771690
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 72, 'cyclotomic_n': 3, 'dim': 96, 'faithful': True, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96d2', 'nt': [16800, 2], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 1]], [[96, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-96, -1]], [[-96, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 7771691
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 73, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.96e1', 'nt': [980, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]]]}
  • id: 7771692
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 74, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.96e2', 'nt': [980, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]]]}
  • id: 7771693
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 75, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.96e3', 'nt': [980, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]]]}
  • id: 7771694
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 76, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.96e4', 'nt': [980, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]]]}
  • id: 7771695
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 77, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.96e5', 'nt': [980, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]]]}
  • id: 7771696
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 78, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.96f1', 'nt': [5600, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 0]], [[-96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]]]}
  • id: 7771697
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 79, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.96f2', 'nt': [5600, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 0]], [[-96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[1, 9], [1, 12], [1, -12], [1, -9]]]}
  • id: 7771699
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 80, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.96f3', 'nt': [5600, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 0]], [[-96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]]]}
  • id: 7771700
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 81, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.96f4', 'nt': [5600, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 0]], [[-96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]]]}
  • id: 7771701
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 82, 'cyclotomic_n': 25, 'dim': 96, 'faithful': False, 'field': [-1, 10, -5, -10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.96f5', 'nt': [5600, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 0]], [[96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 0]], [[-96, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 1], [1, 4], [-1, 7], [1, 9], [1, -11], [-1, -7], [1, -6]], [[-1, 6], [-1, 8], [-1, -8], [-1, -6]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[1, 1], [1, 2], [-1, 3], [-1, 4], [1, 6], [1, 7], [1, 11], [1, 12], [1, -9], [1, -8]], [[-1, 2], [1, 3], [1, 8], [-1, 11], [1, -12], [-1, -11], [1, -7]], [[-1, 9], [-1, 12], [-1, -12], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 1], [-1, 4], [1, 7], [-1, 9], [-1, -11], [1, -7], [-1, -6]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 2], [-1, 3], [-1, 8], [1, 11], [-1, -12], [1, -11], [-1, -7]], [[1, 9], [1, 12], [1, -12], [1, -9]], [[1, 6], [1, 8], [1, -8], [1, -6]], [[-1, 1], [-1, 2], [1, 3], [1, 4], [-1, 6], [-1, 7], [-1, 11], [-1, 12], [-1, -9], [-1, -8]], [[1, 6], [1, 8], [1, -8], [1, -6]]]}
  • id: 7771702
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 83, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g1', 'nt': [2940, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]]]}
  • id: 7771712
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 92, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g10', 'nt': [2940, 10], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]]]}
  • id: 7771703
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 84, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g2', 'nt': [2940, 10], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]]]}
  • id: 7771704
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 85, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g3', 'nt': [2940, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]]]}
  • id: 7771705
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 86, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g4', 'nt': [2940, 10], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]]]}
  • id: 7771706
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 87, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g5', 'nt': [2940, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]]]}
  • id: 7771707
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 88, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g6', 'nt': [2940, 10], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]]]}
  • id: 7771708
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 89, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g7', 'nt': [2940, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]]]}
  • id: 7771710
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 90, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g8', 'nt': [2940, 10], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]]]}
  • id: 7771711
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 91, 'cyclotomic_n': 75, 'dim': 96, 'faithful': False, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.96g9', 'nt': [2940, 0], 'q_character': None, 'values': [[[96, 0]], [[96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[-2, 25]], [[-2, -25]], [[-2, 25]], [[-2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]]]}
  • id: 7771713
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 93, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h1', 'nt': [16800, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 25]], [[-96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[0, 0]], [[0, 0]], [[-1, -25]], [[-1, 25]], [[2, 25]], [[2, -25]], [[2, 25]], [[2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]]]}
  • id: 7771595
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 102, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h10', 'nt': [16800, 10], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, -25]], [[-96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[0, 0]], [[0, 0]], [[-1, 25]], [[-1, -25]], [[2, -25]], [[2, 25]], [[2, -25]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]]]}
  • id: 7771714
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 94, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h2', 'nt': [16800, 10], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, -25]], [[-96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[0, 0]], [[0, 0]], [[-1, 25]], [[-1, -25]], [[2, -25]], [[2, 25]], [[2, -25]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]]]}
  • id: 7771715
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 95, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h3', 'nt': [16800, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 25]], [[-96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[0, 0]], [[0, 0]], [[-1, -25]], [[-1, 25]], [[2, 25]], [[2, -25]], [[2, 25]], [[2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [1, 11], [1, 14], [1, 23]]]}
  • id: 7771716
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 96, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h4', 'nt': [16800, 10], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, -25]], [[-96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[0, 0]], [[0, 0]], [[-1, 25]], [[-1, -25]], [[2, -25]], [[2, 25]], [[2, -25]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]]]}
  • id: 7771717
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 97, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h5', 'nt': [16800, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 25]], [[-96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[0, 0]], [[0, 0]], [[-1, -25]], [[-1, 25]], [[2, 25]], [[2, -25]], [[2, 25]], [[2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]]]}
  • id: 7771718
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 98, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h6', 'nt': [16800, 10], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, -25]], [[-96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[0, 0]], [[0, 0]], [[-1, 25]], [[-1, -25]], [[2, -25]], [[2, 25]], [[2, -25]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]]]}
  • id: 7771719
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 99, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h7', 'nt': [16800, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 25]], [[-96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[0, 0]], [[0, 0]], [[-1, -25]], [[-1, 25]], [[2, 25]], [[2, -25]], [[2, 25]], [[2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]]]}
  • id: 7771593
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 100, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h8', 'nt': [16800, 10], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, 25]], [[96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, -25]], [[-96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, -25]], [[1, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 25]], [[-2, -25]], [[-2, -25]], [[-2, 25]], [[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, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[1, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[0, 0]], [[0, 0]], [[-1, 25]], [[-1, -25]], [[2, -25]], [[2, 25]], [[2, -25]], [[2, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[1, 13], [1, 16], [1, 34], [1, 37]]]}
  • id: 7771594
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 101, 'cyclotomic_n': 75, 'dim': 96, 'faithful': True, 'field': [1, 10, 95, 70, 125, -49, 90, -10, 10, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.96h9', 'nt': [16800, 0], 'q_character': None, 'values': [[[96, 0]], [[-96, 0]], [[0, 0]], [[96, -25]], [[96, 25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-96, 25]], [[-96, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 25]], [[1, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -25]], [[-2, 25]], [[-2, 25]], [[-2, -25]], [[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, 3], [-1, 13], [1, 18], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 2], [-1, 3], [1, 4], [1, 12], [-1, 17], [-1, 21], [1, 22], [1, 29], [-1, 32], [1, 37]], [[1, 2], [-1, 4], [-1, 6], [-1, 7], [1, 9], [1, 17], [-1, 22], [1, 24], [1, 27], [-1, 29], [-1, 33], [-1, 37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [1, 13], [1, 21], [-1, 26], [1, 36], [1, -37]], [[1, 1], [1, 7], [-1, 18], [-1, 24], [1, 26], [1, 32]], [[0, 0]], [[0, 0]], [[-1, -25]], [[-1, 25]], [[2, 25]], [[2, -25]], [[2, 25]], [[2, -25]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1], [-1, 7], [1, 18], [1, 24], [-1, 26], [-1, 32]], [[-1, 2], [1, 4], [1, 6], [1, 7], [-1, 9], [-1, 17], [1, 22], [-1, 24], [-1, 27], [1, 29], [1, 33], [1, 37], [-1, -36]], [[-1, 3], [1, 13], [-1, 18], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[1, 1], [-1, 6], [1, 9], [1, 12], [-1, 13], [-1, 21], [1, 26], [-1, 36], [-1, -37]], [[1, 2], [1, 3], [-1, 4], [-1, 12], [1, 17], [1, 21], [-1, 22], [-1, 29], [1, 32], [-1, 37]], [[-1, 3], [-1, 4], [1, 8], [1, 14], [-1, 19], [1, 23], [1, 24], [-1, 26], [-1, 28], [-1, 32], [-1, 34], [1, -37], [1, -36]], [[-1, 2], [-1, 11], [-1, 14], [-1, 23]], [[-1, 1], [1, 2], [1, 3], [1, 11], [-1, 12], [-1, 16], [1, 17], [1, 21], [1, 28], [-1, 29], [-1, 31], [1, 32], [1, 36], [-1, 37]], [[1, 1], [-1, 6], [1, 9], [1, 12], [1, 16], [-1, 21], [1, 26], [1, 34], [-1, 36], [1, 37], [-1, -37]], [[1, 1], [-1, 4], [-1, 11], [1, 16], [-1, 22], [-1, 28], [1, 31], [-1, 36]], [[-1, 1], [1, 3], [1, 4], [-1, 7], [-1, 8], [-1, 14], [1, 18], [1, 19], [-1, 23], [1, 28], [1, 34], [-1, -37], [-1, -36]], [[1, 4], [1, 6], [-1, 8], [-1, 9], [-1, 17], [1, 19], [-1, 24], [1, 29], [1, 31], [-1, -36]], [[-1, 13], [-1, 16], [-1, 34], [-1, 37]], [[-1, 2], [1, 7], [1, 8], [-1, 19], [1, 22], [-1, 27], [-1, 31], [1, 33], [1, 37]], [[1, 2], [-1, 3], [1, 11], [1, 13], [1, 14], [-1, 18], [1, 23], [1, 27], [-1, 33], [1, 36], [1, -37], [1, -36]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 4], [-1, 6], [1, 8], [1, 9], [1, 17], [-1, 19], [1, 24], [-1, 29], [-1, 31], [1, -36]], [[1, 1], [-1, 2], [-1, 3], [-1, 11], [1, 12], [1, 16], [-1, 17], [-1, 21], [-1, 28], [1, 29], [1, 31], [-1, 32], [-1, 36], [1, 37]], [[-1, 2], [1, 3], [-1, 11], [-1, 13], [-1, 14], [1, 18], [-1, 23], [-1, 27], [1, 33], [-1, 36], [-1, -37], [-1, -36]], [[-1, 1], [1, 4], [1, 11], [-1, 16], [1, 22], [1, 28], [-1, 31], [1, 36]], [[1, 13], [1, 16], [1, 34], [1, 37]], [[1, 2], [-1, 7], [-1, 8], [1, 19], [-1, 22], [1, 27], [1, 31], [-1, 33], [-1, 37]], [[1, 2], [1, 11], [1, 14], [1, 23]], [[1, 1], [-1, 3], [-1, 4], [1, 7], [1, 8], [1, 14], [-1, 18], [-1, 19], [1, 23], [-1, 28], [-1, 34], [1, -37], [1, -36]], [[-1, 1], [1, 6], [-1, 9], [-1, 12], [-1, 16], [1, 21], [-1, 26], [-1, 34], [1, 36], [-1, 37], [1, -37]], [[1, 3], [1, 4], [-1, 8], [-1, 14], [1, 19], [-1, 23], [-1, 24], [1, 26], [1, 28], [1, 32], [1, 34], [-1, -37], [-1, -36]]]}
  • id: 7771596
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 103, 'cyclotomic_n': 1, 'dim': 100, 'faithful': False, 'field': [0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.100a', 'nt': [600, 0], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771597
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 104, 'cyclotomic_n': 3, 'dim': 100, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.100b1', 'nt': [600, 0], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[100, -1]], [[100, 1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[4, 0]], [[0, 0]], [[100, 1]], [[100, -1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, -1]], [[4, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-4, 1]], [[-4, -1]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771598
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 105, 'cyclotomic_n': 3, 'dim': 100, 'faithful': False, 'field': [1, -1, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.100b2', 'nt': [600, 2], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[100, 1]], [[100, -1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[4, 0]], [[0, 0]], [[100, -1]], [[100, 1]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[4, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-4, -1]], [[-4, 1]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771599
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 106, 'cyclotomic_n': 8, 'dim': 100, 'faithful': False, 'field': [-2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.100c1', 'nt': [800, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 0]], [[-100, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771600
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 107, 'cyclotomic_n': 8, 'dim': 100, 'faithful': False, 'field': [-2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.100c2', 'nt': [800, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 0]], [[-100, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771601
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 108, 'cyclotomic_n': 8, 'dim': 100, 'faithful': False, 'field': [-2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.100d1', 'nt': [1200, 0], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 1], [-2, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771602
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 109, 'cyclotomic_n': 8, 'dim': 100, 'faithful': False, 'field': [-2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '117600.d', 'image_order': 117600, 'indicator': 1, 'kernel': None, 'kernel_order': 6, 'label': '705600.b.100d2', 'nt': [1200, 0], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 1], [2, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771604
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 110, 'cyclotomic_n': 24, 'dim': 100, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.100e1', 'nt': [1200, 0], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[-100, 4]], [[100, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[-4, 0]], [[0, 0]], [[100, 8]], [[-100, 4]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[-2, 3], [2, 5], [2, 7]], [[2, 3], [-2, 5], [-2, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[2, 1], [2, 7]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-2, 1], [-2, 7]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771605
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 111, 'cyclotomic_n': 24, 'dim': 100, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.100e2', 'nt': [1200, 4], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[100, 8]], [[-100, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-100, 4]], [[100, 8]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[4, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [1, 7]], [[-2, 1], [-2, 7]], [[2, 1], [2, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[2, 3], [-2, 5], [-2, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-2, 3], [2, 5], [2, 7]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771606
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 112, 'cyclotomic_n': 24, 'dim': 100, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.100e3', 'nt': [1200, 0], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[-100, 4]], [[100, 8]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[-4, 0]], [[0, 0]], [[100, 8]], [[-100, 4]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4]], [[-4, 8]], [[2, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[2, 3], [-2, 5], [-2, 7]], [[-2, 3], [2, 5], [2, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-2, 1], [-2, 7]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[2, 1], [2, 7]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771607
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 113, 'cyclotomic_n': 24, 'dim': 100, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': None, 'image_order': 352800, 'indicator': 0, 'kernel': None, 'kernel_order': 2, 'label': '705600.b.100e4', 'nt': [1200, 4], 'q_character': None, 'values': [[[100, 0]], [[100, 0]], [[0, 0]], [[100, 8]], [[-100, 4]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-100, 4]], [[100, 8]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 8]], [[4, 4]], [[2, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[2, 1], [2, 7]], [[-2, 1], [-2, 7]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-2, 3], [2, 5], [2, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[2, 3], [-2, 5], [-2, 7]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771608
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 114, 'cyclotomic_n': 24, 'dim': 100, 'faithful': True, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100f1', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[-100, 4]], [[100, 8]], [[4, 0]], [[4, 8]], [[-4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 8]], [[100, 4]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 8]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[-2, 3], [2, 5], [2, 7]], [[-2, 1], [-2, 7]], [[2, 1], [2, 7]], [[2, 3], [-2, 5], [-2, 7]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 3], [2, 5], [2, 7]], [[-2, 1], [-2, 7]], [[2, 1], [2, 7]], [[2, 3], [-2, 5], [-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771609
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 115, 'cyclotomic_n': 24, 'dim': 100, 'faithful': True, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100f2', 'nt': [2400, 4], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 8]], [[-100, 4]], [[4, 0]], [[-4, 4]], [[4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[100, 4]], [[-100, 8]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 4]], [[-4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-2, 1], [-2, 7]], [[-2, 3], [2, 5], [2, 7]], [[2, 3], [-2, 5], [-2, 7]], [[2, 1], [2, 7]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, 7]], [[-2, 3], [2, 5], [2, 7]], [[2, 3], [-2, 5], [-2, 7]], [[2, 1], [2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771610
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 116, 'cyclotomic_n': 24, 'dim': 100, 'faithful': True, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100f3', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[-100, 4]], [[100, 8]], [[4, 0]], [[4, 8]], [[-4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 8]], [[100, 4]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 8]], [[4, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[2, 3], [-2, 5], [-2, 7]], [[2, 1], [2, 7]], [[-2, 1], [-2, 7]], [[-2, 3], [2, 5], [2, 7]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [-2, 5], [-2, 7]], [[2, 1], [2, 7]], [[-2, 1], [-2, 7]], [[-2, 3], [2, 5], [2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771611
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 117, 'cyclotomic_n': 24, 'dim': 100, 'faithful': True, 'field': [4, 0, 2, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100f4', 'nt': [2400, 4], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 8]], [[-100, 4]], [[4, 0]], [[-4, 4]], [[4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[100, 4]], [[-100, 8]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 4]], [[-4, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[2, 1], [2, 7]], [[2, 3], [-2, 5], [-2, 7]], [[-2, 3], [2, 5], [2, 7]], [[-2, 1], [-2, 7]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, 7]], [[2, 3], [-2, 5], [-2, 7]], [[-2, 3], [2, 5], [2, 7]], [[-2, 1], [-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771612
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 118, 'cyclotomic_n': 48, 'dim': 100, 'faithful': False, 'field': [18, 0, -12, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.100g1', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 0]], [[-100, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771613
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 119, 'cyclotomic_n': 48, 'dim': 100, 'faithful': False, 'field': [18, 0, -12, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.100g2', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 0]], [[-100, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[0, 0]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771615
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 120, 'cyclotomic_n': 48, 'dim': 100, 'faithful': False, 'field': [18, 0, -12, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.100g3', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 0]], [[-100, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771616
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 121, 'cyclotomic_n': 48, 'dim': 100, 'faithful': False, 'field': [18, 0, -12, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '235200.e', 'image_order': 235200, 'indicator': -1, 'kernel': None, 'kernel_order': 3, 'label': '705600.b.100g4', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 0]], [[100, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 0]], [[-100, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771617
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 122, 'cyclotomic_n': 48, 'dim': 100, 'faithful': True, 'field': [4, 0, -8, 0, 14, 0, -4, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100h1', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[-100, 8]], [[100, 16]], [[-2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 16]], [[100, 8]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 16]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 16]], [[-2, 8]], [[-2, 6], [2, 10], [2, 14]], [[-2, 2], [-2, 14]], [[2, 2], [2, 14]], [[2, 6], [-2, 10], [-2, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [-1, 10], [-1, 14]], [[1, 2], [1, 14]], [[-1, 2], [-1, 14]], [[-1, 6], [1, 10], [1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-2, 5], [1, 11], [1, 13]], [[-1, 1], [-1, 7], [2, 9], [2, 15]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[-2, 3], [1, 5], [1, 11], [-2, 13]], [[0, 0]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[2, 3], [-1, 5], [-1, 11], [2, 13]], [[-1, 1], [-1, 7], [-1, 9], [-1, 15]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[-1, 3], [2, 5], [-1, 11], [-1, 13]], [[1, 1], [1, 7], [1, 9], [1, 15]], [[1, 1], [1, 7], [-2, 9], [-2, 15]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771618
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 123, 'cyclotomic_n': 48, 'dim': 100, 'faithful': True, 'field': [4, 0, -8, 0, 14, 0, -4, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100h2', 'nt': [2400, 8], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 16]], [[-100, 8]], [[-2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[100, 8]], [[-100, 16]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 8]], [[2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[-2, 2], [-2, 14]], [[-2, 6], [2, 10], [2, 14]], [[2, 6], [-2, 10], [-2, 14]], [[2, 2], [2, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, 14]], [[1, 6], [-1, 10], [-1, 14]], [[-1, 6], [1, 10], [1, 14]], [[-1, 2], [-1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [1, 5], [1, 11], [-2, 13]], [[-1, 1], [-1, 7], [-1, 9], [-1, 15]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[1, 3], [-2, 5], [1, 11], [1, 13]], [[0, 0]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-1, 3], [2, 5], [-1, 11], [-1, 13]], [[-1, 1], [-1, 7], [2, 9], [2, 15]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[2, 3], [-1, 5], [-1, 11], [2, 13]], [[1, 1], [1, 7], [-2, 9], [-2, 15]], [[1, 1], [1, 7], [1, 9], [1, 15]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771619
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 124, 'cyclotomic_n': 48, 'dim': 100, 'faithful': True, 'field': [4, 0, -8, 0, 14, 0, -4, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100h3', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[-100, 8]], [[100, 16]], [[-2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 16]], [[100, 8]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 16]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 16]], [[-2, 8]], [[-2, 6], [2, 10], [2, 14]], [[-2, 2], [-2, 14]], [[2, 2], [2, 14]], [[2, 6], [-2, 10], [-2, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [-1, 10], [-1, 14]], [[1, 2], [1, 14]], [[-1, 2], [-1, 14]], [[-1, 6], [1, 10], [1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [2, 5], [-1, 11], [-1, 13]], [[1, 1], [1, 7], [-2, 9], [-2, 15]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[2, 3], [-1, 5], [-1, 11], [2, 13]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[-2, 3], [1, 5], [1, 11], [-2, 13]], [[1, 1], [1, 7], [1, 9], [1, 15]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[1, 3], [-2, 5], [1, 11], [1, 13]], [[-1, 1], [-1, 7], [-1, 9], [-1, 15]], [[-1, 1], [-1, 7], [2, 9], [2, 15]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771620
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 125, 'cyclotomic_n': 48, 'dim': 100, 'faithful': True, 'field': [4, 0, -8, 0, 14, 0, -4, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100h4', 'nt': [2400, 8], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 16]], [[-100, 8]], [[-2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[100, 8]], [[-100, 16]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 8]], [[2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[-2, 2], [-2, 14]], [[-2, 6], [2, 10], [2, 14]], [[2, 6], [-2, 10], [-2, 14]], [[2, 2], [2, 14]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, 14]], [[1, 6], [-1, 10], [-1, 14]], [[-1, 6], [1, 10], [1, 14]], [[-1, 2], [-1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-1, 5], [-1, 11], [2, 13]], [[1, 1], [1, 7], [1, 9], [1, 15]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-1, 3], [2, 5], [-1, 11], [-1, 13]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[1, 3], [-2, 5], [1, 11], [1, 13]], [[1, 1], [1, 7], [-2, 9], [-2, 15]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[-2, 3], [1, 5], [1, 11], [-2, 13]], [[-1, 1], [-1, 7], [2, 9], [2, 15]], [[-1, 1], [-1, 7], [-1, 9], [-1, 15]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771621
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 126, 'cyclotomic_n': 48, 'dim': 100, 'faithful': True, 'field': [4, 0, -8, 0, 14, 0, -4, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100h5', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[-100, 8]], [[100, 16]], [[-2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 16]], [[100, 8]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 16]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 16]], [[-2, 8]], [[2, 6], [-2, 10], [-2, 14]], [[2, 2], [2, 14]], [[-2, 2], [-2, 14]], [[-2, 6], [2, 10], [2, 14]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [1, 10], [1, 14]], [[-1, 2], [-1, 14]], [[1, 2], [1, 14]], [[1, 6], [-1, 10], [-1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 7], [2, 9], [2, 15]], [[-1, 3], [2, 5], [-1, 11], [-1, 13]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[-1, 1], [-1, 7], [-1, 9], [-1, 15]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[1, 1], [1, 7], [1, 9], [1, 15]], [[2, 3], [-1, 5], [-1, 11], [2, 13]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[1, 1], [1, 7], [-2, 9], [-2, 15]], [[-2, 3], [1, 5], [1, 11], [-2, 13]], [[1, 3], [-2, 5], [1, 11], [1, 13]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771622
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 127, 'cyclotomic_n': 48, 'dim': 100, 'faithful': True, 'field': [4, 0, -8, 0, 14, 0, -4, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100h6', 'nt': [2400, 8], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 16]], [[-100, 8]], [[-2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[100, 8]], [[-100, 16]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 8]], [[2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[2, 2], [2, 14]], [[2, 6], [-2, 10], [-2, 14]], [[-2, 6], [2, 10], [2, 14]], [[-2, 2], [-2, 14]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, 14]], [[-1, 6], [1, 10], [1, 14]], [[1, 6], [-1, 10], [-1, 14]], [[1, 2], [1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 7], [-1, 9], [-1, 15]], [[2, 3], [-1, 5], [-1, 11], [2, 13]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[-1, 1], [-1, 7], [2, 9], [2, 15]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[1, 1], [1, 7], [-2, 9], [-2, 15]], [[-1, 3], [2, 5], [-1, 11], [-1, 13]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[1, 1], [1, 7], [1, 9], [1, 15]], [[1, 3], [-2, 5], [1, 11], [1, 13]], [[-2, 3], [1, 5], [1, 11], [-2, 13]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771623
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 128, 'cyclotomic_n': 48, 'dim': 100, 'faithful': True, 'field': [4, 0, -8, 0, 14, 0, -4, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100h7', 'nt': [2400, 0], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[-100, 8]], [[100, 16]], [[-2, 0]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[-100, 16]], [[100, 8]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 16]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 16]], [[2, 16]], [[-2, 8]], [[2, 6], [-2, 10], [-2, 14]], [[2, 2], [2, 14]], [[-2, 2], [-2, 14]], [[-2, 6], [2, 10], [2, 14]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [1, 10], [1, 14]], [[-1, 2], [-1, 14]], [[1, 2], [1, 14]], [[1, 6], [-1, 10], [-1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 7], [-2, 9], [-2, 15]], [[1, 3], [-2, 5], [1, 11], [1, 13]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[1, 1], [1, 7], [1, 9], [1, 15]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[-1, 1], [-1, 7], [-1, 9], [-1, 15]], [[-2, 3], [1, 5], [1, 11], [-2, 13]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-1, 1], [-1, 7], [2, 9], [2, 15]], [[2, 3], [-1, 5], [-1, 11], [2, 13]], [[-1, 3], [2, 5], [-1, 11], [-1, 13]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 7771624
    {'center': None, 'center_index': 117600, 'center_order': 6, 'counter': 129, 'cyclotomic_n': 48, 'dim': 100, 'faithful': True, 'field': [4, 0, -8, 0, 14, 0, -4, 0, 1], 'group': '705600.b', 'group_counter': 2, 'group_order': 705600, 'image': None, 'image_isoclass': '705600.b', 'image_order': 705600, 'indicator': 0, 'kernel': None, 'kernel_order': 1, 'label': '705600.b.100h8', 'nt': [2400, 8], 'q_character': None, 'values': [[[100, 0]], [[-100, 0]], [[0, 0]], [[100, 16]], [[-100, 8]], [[-2, 0]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[100, 8]], [[-100, 16]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 8]], [[2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 16]], [[-2, 8]], [[-2, 8]], [[2, 16]], [[2, 2], [2, 14]], [[2, 6], [-2, 10], [-2, 14]], [[-2, 6], [2, 10], [2, 14]], [[-2, 2], [-2, 14]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, 14]], [[-1, 6], [1, 10], [1, 14]], [[1, 6], [-1, 10], [-1, 14]], [[1, 2], [1, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 16]], [[2, 8]], [[-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 7], [1, 9], [1, 15]], [[-2, 3], [1, 5], [1, 11], [-2, 13]], [[-1, 3], [-1, 5], [2, 11], [-1, 13]], [[1, 1], [1, 7], [-2, 9], [-2, 15]], [[0, 0]], [[0, 0]], [[1, 3], [1, 5], [-2, 11], [1, 13]], [[-1, 1], [-1, 7], [2, 9], [2, 15]], [[1, 3], [-2, 5], [1, 11], [1, 13]], [[0, 0]], [[2, 1], [2, 7], [-1, 9], [-1, 15]], [[-1, 1], [-1, 7], [-1, 9], [-1, 15]], [[-1, 3], [2, 5], [-1, 11], [-1, 13]], [[2, 3], [-1, 5], [-1, 11], [2, 13]], [[0, 0]], [[-2, 1], [-2, 7], [1, 9], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

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

  
  
  • id: 68205161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 705600, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 210, 'label': '705600.b.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': False, 'special_labels': ['L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '705600.b', 'subgroup_hash': None, 'subgroup_order': 705600, 'subgroup_tex': '\\SL(2,49).C_6', 'supersolvable': False, 'sylow': 0}
  • id: 68205272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 352800, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2.a1.a1', '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': False, 'special_labels': ['C1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '352800.a', 'subgroup_hash': None, 'subgroup_order': 352800, 'subgroup_tex': 'C_3\\times \\SL(2,49)', 'supersolvable': False, 'sylow': 0}
  • id: 68205383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': True, 'centralizer_order': None, 'characteristic': False, 'core_order': 235200, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '235200.e', 'subgroup_hash': None, 'subgroup_order': 235200, 'subgroup_tex': '\\SL(2,49):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 68205488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 117600, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': False, 'special_labels': ['D', 'PC', 'L1', 'D1'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '117600.a', 'subgroup_hash': None, 'subgroup_order': 117600, 'subgroup_tex': '\\SL(2,49)', 'supersolvable': False, 'sylow': 0}
  • id: 68205499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.50.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50.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': 50, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14112.u', 'subgroup_hash': None, 'subgroup_order': 14112, 'subgroup_tex': 'C_7^2:(C_3^2\\times \\SD_{32})', 'supersolvable': False, 'sylow': 0}
  • id: 68205510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7056.w', 'subgroup_hash': None, 'subgroup_order': 7056, 'subgroup_tex': 'C_7^2:(C_3^2\\times D_8)', 'supersolvable': False, 'sylow': 0}
  • id: 68205521
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.B', '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': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7056.b', 'subgroup_hash': None, 'subgroup_order': 7056, 'subgroup_tex': 'C_3\\times C_7^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 68205532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.C', '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': 100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7056.v', 'subgroup_hash': None, 'subgroup_order': 7056, 'subgroup_tex': 'C_7^2:(C_3^2\\times Q_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 68205543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.150._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4704.bp', 'subgroup_hash': None, 'subgroup_order': 4704, 'subgroup_tex': 'C_7^2:(C_3\\times \\SD_{32})', 'supersolvable': False, 'sylow': 0}
  • id: 68205162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.150._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.B', '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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4704.bp', 'subgroup_hash': None, 'subgroup_order': 4704, 'subgroup_tex': 'C_7^2:(C_3\\times \\SD_{32})', 'supersolvable': False, 'sylow': 0}
  • id: 68205173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.150._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.C', '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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4704.bp', 'subgroup_hash': None, 'subgroup_order': 4704, 'subgroup_tex': 'C_7^2:(C_3\\times \\SD_{32})', 'supersolvable': False, 'sylow': 0}
  • id: 68205184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.150._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.D', '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': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4704.m', 'subgroup_hash': None, 'subgroup_order': 4704, 'subgroup_tex': 'C_3\\times C_7^2:\\SD_{32}', 'supersolvable': False, 'sylow': 0}
  • id: 68205195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.175._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.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': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4032.bx', 'subgroup_hash': None, 'subgroup_order': 4032, 'subgroup_tex': 'C_{12}.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.175._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.B', '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': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4032.bz', 'subgroup_hash': None, 'subgroup_order': 4032, 'subgroup_tex': '\\GL(2,7):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 68205217
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3528.d', 'subgroup_hash': None, 'subgroup_order': 3528, 'subgroup_tex': 'C_3\\times C_7^2:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 68205228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.B', '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': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3528.bp', 'subgroup_hash': None, 'subgroup_order': 3528, 'subgroup_tex': 'C_7^2:(Q_8\\times C_3^2)', 'supersolvable': True, 'sylow': 0}
  • id: 68205239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.C', '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': 200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3528.be', 'subgroup_hash': None, 'subgroup_order': 3528, 'subgroup_tex': 'C_3\\times D_{14}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.bx', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:(C_3\\times D_8)', 'supersolvable': False, 'sylow': 0}
  • id: 68205261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.B', '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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.bx', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:(C_3\\times D_8)', 'supersolvable': False, 'sylow': 0}
  • id: 68205273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.C', '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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.bx', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:(C_3\\times D_8)', 'supersolvable': False, 'sylow': 0}
  • id: 68205284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.D', '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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.d', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 68205295
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.E', '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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.d', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 68205306
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.F', '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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.d', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 68205317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.G', '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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.bv', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:(C_3\\times Q_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 68205328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.H', '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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.bv', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:(C_3\\times Q_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 68205339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.I', '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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.bv', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:(C_3\\times Q_{16})', 'supersolvable': False, 'sylow': 0}
  • id: 68205350
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.h', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_7^2:C_{48}', 'supersolvable': False, 'sylow': 0}
  • id: 68205361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.t', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_3\\times C_7^2:Q_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 68205372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.300._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.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': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2352.s', 'subgroup_hash': None, 'subgroup_order': 2352, 'subgroup_tex': 'C_3\\times C_7^2:D_8', 'supersolvable': False, 'sylow': 0}
  • id: 68205384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.350._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.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': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.w', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': '\\SL(2,7):C_6', 'supersolvable': False, 'sylow': 0}
  • id: 68205395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.350._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.B', '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': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.e', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6\\times \\SL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.350._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.C', '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': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.x', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.350._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.D', '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': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.a', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': '\\GL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.350._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.E', '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': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.x', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.350._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.F', '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': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2016.x', 'subgroup_hash': None, 'subgroup_order': 2016, 'subgroup_tex': 'C_6.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205450
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1764.109', 'subgroup_hash': None, 'subgroup_order': 1764, 'subgroup_tex': 'C_{42}.F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.B', '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': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1764.176', 'subgroup_hash': None, 'subgroup_order': 1764, 'subgroup_tex': 'C_{42}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205472
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.C', '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': 400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1764.107', 'subgroup_hash': None, 'subgroup_order': 1764, 'subgroup_tex': 'C_{42}.F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.450.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '450.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': 450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1568.788', 'subgroup_hash': None, 'subgroup_order': 1568, 'subgroup_tex': 'C_7^2:\\SD_{32}', 'supersolvable': False, 'sylow': 0}
  • id: 68205489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.525._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.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': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1344.11298', 'subgroup_hash': None, 'subgroup_order': 1344, 'subgroup_tex': 'C_2^2.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.525._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.B', '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': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1344.11292', 'subgroup_hash': None, 'subgroup_order': 1344, 'subgroup_tex': 'C_4.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205491
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.138', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_7^2:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 68205492
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.B', '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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.75', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_7^2:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 68205493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.C', '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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.75', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_7^2:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 68205494
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.D', '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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.75', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_7^2:C_{24}', 'supersolvable': False, 'sylow': 0}
  • id: 68205495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.E', '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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.90', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'D_{14}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.F', '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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.90', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'D_{14}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.G', '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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.92', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_7^2:(C_3\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 68205498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.H', '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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.92', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_7^2:(C_3\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 68205500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.I', '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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.90', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'D_{14}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.142', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_{42}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.144', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_{42}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.600._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.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': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1176.92', 'subgroup_hash': None, 'subgroup_order': 1176, 'subgroup_tex': 'C_7^2:(C_3\\times Q_8)', 'supersolvable': True, 'sylow': 0}
  • id: 68205504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.700._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.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': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1008.517', 'subgroup_hash': None, 'subgroup_order': 1008, 'subgroup_tex': 'C_3\\times \\SL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.700._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.B', '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': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1008.517', 'subgroup_hash': None, 'subgroup_order': 1008, 'subgroup_tex': 'C_3\\times \\SL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205506
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.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': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '882.58', 'subgroup_hash': None, 'subgroup_order': 882, 'subgroup_tex': 'C_3\\times C_7^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205507
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '800.B', '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': 800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '882.43', 'subgroup_hash': None, 'subgroup_order': 882, 'subgroup_tex': 'C_{21}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205508
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.900._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '900.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': 900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '784.104', 'subgroup_hash': None, 'subgroup_order': 784, 'subgroup_tex': 'C_7^2:C_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 68205509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.900._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '900.B', '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': 900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '784.107', 'subgroup_hash': None, 'subgroup_order': 784, 'subgroup_tex': 'C_7^2:D_8', 'supersolvable': False, 'sylow': 0}
  • id: 68205511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.900._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '900.C', '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': 900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '784.109', 'subgroup_hash': None, 'subgroup_order': 784, 'subgroup_tex': 'C_7^2:Q_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 68205512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.980._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '980.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': 980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '720.410', 'subgroup_hash': None, 'subgroup_order': 720, 'subgroup_tex': 'C_6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 68205513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.980._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '980.B', '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': 980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '720.411', 'subgroup_hash': None, 'subgroup_order': 720, 'subgroup_tex': '\\Unitary(2,5)', 'supersolvable': False, 'sylow': 0}
  • id: 68205514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1050._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1050.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': 1050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '672.1048', 'subgroup_hash': None, 'subgroup_order': 672, 'subgroup_tex': 'C_2\\times \\SL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1050._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1050.B', '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': 1050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '672.1047', 'subgroup_hash': None, 'subgroup_order': 672, 'subgroup_tex': '\\SL(2,7):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 68205516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1050._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1050.C', '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': 1050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '672.1044', 'subgroup_hash': None, 'subgroup_order': 672, 'subgroup_tex': '\\SL(2,7):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 68205517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1050._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1050.D', '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': 1050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '672.1045', 'subgroup_hash': None, 'subgroup_order': 672, 'subgroup_tex': 'C_2.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1050._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1050.E', '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': 1050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '672.1045', 'subgroup_hash': None, 'subgroup_order': 672, 'subgroup_tex': 'C_2.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1050._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1050.F', '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': 1050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '672.1045', 'subgroup_hash': None, 'subgroup_order': 672, 'subgroup_tex': 'C_2.\\PGL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205520
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1176.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1176.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': 1176, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '600.5', 'subgroup_hash': None, 'subgroup_order': 600, 'subgroup_tex': 'C_{25}:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205522
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.28', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_7^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205523
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.B', '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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.22', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_7^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205524
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.C', '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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.22', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_7^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205525
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.D', '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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.22', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_7^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205526
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.E', '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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.21', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_7^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205527
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.F', '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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.21', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_7^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205528
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.G', '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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.43', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_{14}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205529
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.H', '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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.43', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_{14}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205530
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.I', '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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.21', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_7^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205531
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.27', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_7:C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 68205533
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.61', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_{21}\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205534
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1200._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1200.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': 1200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '588.43', 'subgroup_hash': None, 'subgroup_order': 588, 'subgroup_tex': 'C_{14}:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '705600.b.1225.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1225.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': 1225, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '576.3894', 'subgroup_hash': None, 'subgroup_order': 576, 'subgroup_tex': 'C_{48}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1400.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': 1400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '504.79', 'subgroup_hash': None, 'subgroup_order': 504, 'subgroup_tex': 'C_{14}.C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 68205537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1400.B', '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': 1400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '504.75', 'subgroup_hash': None, 'subgroup_order': 504, 'subgroup_tex': 'C_{84}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205538
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 21, 'label': '705600.b.1600.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1600.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': 1600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '441.11', 'subgroup_hash': None, 'subgroup_order': 441, 'subgroup_tex': 'C_7^2:C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 68205539
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1800.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': 1800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.17', 'subgroup_hash': None, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:C_8', 'supersolvable': False, 'sylow': 0}
  • id: 68205540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1800.B', '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': 1800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.22', 'subgroup_hash': None, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1800.C', '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': 1800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.20', 'subgroup_hash': None, 'subgroup_order': 392, 'subgroup_tex': 'D_{14}:D_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1960._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1960.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': 1960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '360.51', 'subgroup_hash': None, 'subgroup_order': 360, 'subgroup_tex': 'C_3\\times \\SL(2,5)', 'supersolvable': False, 'sylow': 0}
  • id: 68205544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.1960._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1960.B', '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': 1960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '360.51', 'subgroup_hash': None, 'subgroup_order': 360, 'subgroup_tex': 'C_3\\times \\SL(2,5)', 'supersolvable': False, 'sylow': 0}
  • id: 68205545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2100.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.114', 'subgroup_hash': None, 'subgroup_order': 336, 'subgroup_tex': '\\SL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2100.B', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.114', 'subgroup_hash': None, 'subgroup_order': 336, 'subgroup_tex': '\\SL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 68205547
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2352.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2352.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': 2352, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '300.2', 'subgroup_hash': None, 'subgroup_order': 300, 'subgroup_tex': 'C_{25}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205548
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2400.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': 2400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '294.23', 'subgroup_hash': None, 'subgroup_order': 294, 'subgroup_tex': 'C_7\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 68205549
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2400.B', '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': 2400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '294.16', 'subgroup_hash': None, 'subgroup_order': 294, 'subgroup_tex': 'C_7^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205550
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2400.C', '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': 2400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '294.16', 'subgroup_hash': None, 'subgroup_order': 294, 'subgroup_tex': 'C_7^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205551
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2400.D', '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': 2400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '294.16', 'subgroup_hash': None, 'subgroup_order': 294, 'subgroup_tex': 'C_7^2:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205552
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2400.E', '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': 2400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '294.12', 'subgroup_hash': None, 'subgroup_order': 294, 'subgroup_tex': 'C_7:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205553
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2400.F', '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': 2400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '294.12', 'subgroup_hash': None, 'subgroup_order': 294, 'subgroup_tex': 'C_7:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205163
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2400.G', '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': 2400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '294.18', 'subgroup_hash': None, 'subgroup_order': 294, 'subgroup_tex': 'D_7\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 68205164
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2400.H', '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': 2400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '294.12', 'subgroup_hash': None, 'subgroup_order': 294, 'subgroup_tex': 'C_7:F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2450.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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.263', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': 'C_3^2:Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2450.B', '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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.232', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': 'C_{48}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2450.C', '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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.261', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': 'C_3^2:\\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2450.D', '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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.683', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': 'C_{24}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2450.E', '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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.235', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': 'C_3^2:Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2450.F', '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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.330', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': 'C_3^2\\times \\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2450.G', '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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.688', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': 'C_{24}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2450.H', '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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.903', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': '\\GL(2,3):C_6', 'supersolvable': False, 'sylow': 0}
  • id: 68205174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2450._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2450.I', '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': 2450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '288.899', 'subgroup_hash': None, 'subgroup_order': 288, 'subgroup_tex': 'C_2\\times C_6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 68205175
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2800.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': 2800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '252.16', 'subgroup_hash': None, 'subgroup_order': 252, 'subgroup_tex': 'C_{21}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205176
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2800.B', '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': 2800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '252.38', 'subgroup_hash': None, 'subgroup_order': 252, 'subgroup_tex': 'C_{42}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205177
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2800.C', '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': 2800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '252.16', 'subgroup_hash': None, 'subgroup_order': 252, 'subgroup_tex': 'C_{21}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2800.D', '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': 2800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '252.16', 'subgroup_hash': None, 'subgroup_order': 252, 'subgroup_tex': 'C_{21}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2800.E', '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': 2800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '252.19', 'subgroup_hash': None, 'subgroup_order': 252, 'subgroup_tex': 'C_{21}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205180
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2800.F', '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': 2800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '252.28', 'subgroup_hash': None, 'subgroup_order': 252, 'subgroup_tex': 'C_6\\times F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2940._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2940.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': 2940, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.90', 'subgroup_hash': None, 'subgroup_order': 240, 'subgroup_tex': '\\SL(2,5):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 68205182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.2940._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2940.B', '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': 2940, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '240.89', 'subgroup_hash': None, 'subgroup_order': 240, 'subgroup_tex': 'C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 68205183
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.3528.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3528.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': 3528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '200.3', 'subgroup_hash': None, 'subgroup_order': 200, 'subgroup_tex': 'C_{25}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205185
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.3600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3600.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': 3600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.6', 'subgroup_hash': None, 'subgroup_order': 196, 'subgroup_tex': 'C_7^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205186
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.3600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3600.B', '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': 3600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.5', 'subgroup_hash': None, 'subgroup_order': 196, 'subgroup_tex': 'C_7:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 68205187
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.3600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3600.C', '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': 3600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.10', 'subgroup_hash': None, 'subgroup_order': 196, 'subgroup_tex': 'C_7\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.3675._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3675.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': 3675, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.474', 'subgroup_hash': None, 'subgroup_order': 192, 'subgroup_tex': '\\SD_{32}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.3675._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3675.B', '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': 3675, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.943', 'subgroup_hash': None, 'subgroup_order': 192, 'subgroup_tex': 'Q_{32}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4200.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': 4200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.11', 'subgroup_hash': None, 'subgroup_order': 168, 'subgroup_tex': 'D_{14}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4200.B', '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': 4200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.11', 'subgroup_hash': None, 'subgroup_order': 168, 'subgroup_tex': 'D_{14}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4200.C', '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': 4200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.11', 'subgroup_hash': None, 'subgroup_order': 168, 'subgroup_tex': 'D_{14}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4200.D', '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': 4200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.7', 'subgroup_hash': None, 'subgroup_order': 168, 'subgroup_tex': 'C_{28}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4200.E', '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': 4200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.7', 'subgroup_hash': None, 'subgroup_order': 168, 'subgroup_tex': 'C_{28}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4200.F', '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': 4200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.7', 'subgroup_hash': None, 'subgroup_order': 168, 'subgroup_tex': 'C_{28}.C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4200.G', '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': 4200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.28', 'subgroup_hash': None, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4200.H', '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': 4200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': None, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205199
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 133, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.4704.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4704.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': 4704, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '150.4', 'subgroup_hash': None, 'subgroup_order': 150, 'subgroup_tex': 'C_{150}', 'supersolvable': True, 'sylow': 0}
  • id: 68205200
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4800.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': 4800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '147.4', 'subgroup_hash': None, 'subgroup_order': 147, 'subgroup_tex': 'C_7^2:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4800.B', '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': 4800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '147.4', 'subgroup_hash': None, 'subgroup_order': 147, 'subgroup_tex': 'C_7^2:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4800.C', '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': 4800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '147.4', 'subgroup_hash': None, 'subgroup_order': 147, 'subgroup_tex': 'C_7^2:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205203
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4800.D', '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': 4800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '147.6', 'subgroup_hash': None, 'subgroup_order': 147, 'subgroup_tex': 'C_7\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 68205204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.73', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_3^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4900.B', '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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.106', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_3^2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4900.C', '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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.108', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_3^2\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205208
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.D', '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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.28', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_3:C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 68205209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.E', '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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.73', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_3^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205210
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4900.F', '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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.30', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_3\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 68205211
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.G', '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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.69', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'S_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.H', '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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.121', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 68205213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.I', '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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.83', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_3^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.164', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.156', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.122', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_3\\times \\GL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.121', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 68205219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.163', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.121', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 68205221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.157', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': '\\SL(2,3):C_6', 'supersolvable': False, 'sylow': 0}
  • id: 68205222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.4900._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4900.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': 4900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.81', 'subgroup_hash': None, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205223
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.5600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5600.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': 5600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '126.10', 'subgroup_hash': None, 'subgroup_order': 126, 'subgroup_tex': 'C_{21}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205224
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.5600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5600.B', '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': 5600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '126.10', 'subgroup_hash': None, 'subgroup_order': 126, 'subgroup_tex': 'C_{21}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205225
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.5600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5600.C', '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': 5600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '126.7', 'subgroup_hash': None, 'subgroup_order': 126, 'subgroup_tex': 'C_3\\times F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205226
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.5600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5600.D', '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': 5600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '126.10', 'subgroup_hash': None, 'subgroup_order': 126, 'subgroup_tex': 'C_{21}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.5880._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5880.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.5', 'subgroup_hash': None, 'subgroup_order': 120, 'subgroup_tex': '\\SL(2,5)', 'supersolvable': False, 'sylow': 0}
  • id: 68205229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.5880._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5880.B', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.5', 'subgroup_hash': None, 'subgroup_order': 120, 'subgroup_tex': '\\SL(2,5)', 'supersolvable': False, 'sylow': 0}
  • id: 68205230
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.5880._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5880.C', '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': 5880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '120.6', 'subgroup_hash': None, 'subgroup_order': 120, 'subgroup_tex': 'C_5:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205231
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7056.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7056.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': 7056, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '100.1', 'subgroup_hash': None, 'subgroup_order': 100, 'subgroup_tex': 'C_{25}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205232
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7200.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': 7200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': None, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205233
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7200.B', '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': 7200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '98.3', 'subgroup_hash': None, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.62', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7350.B', '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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.5', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_{48}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 68205236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7350.C', '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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.34', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7350.D', '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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.119', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'D_8:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7350.E', '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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.8', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3:Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.F', '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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.62', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7350.G', '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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.124', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'S_3\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7350.H', '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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.36', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3:Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7350.I', '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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.192', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': '\\GL(2,3):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 68205244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.62', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.188', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 68205246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.63', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.60', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.63', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.181', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_6\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.182', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'D_8:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.7350._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '7350.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': 7350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.62', 'subgroup_hash': None, 'subgroup_order': 96, 'subgroup_tex': 'C_3\\times \\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205253
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.12', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205254
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.B', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205255
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.C', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.9', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_{14}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205256
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.D', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.2', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205257
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.E', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.2', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205258
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.F', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.2', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205259
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.G', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.7', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205260
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.H', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.7', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205262
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.I', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.7', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205263
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205264
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205265
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205266
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205267
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.9', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_{14}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205268
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.9', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_{14}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205269
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205270
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205271
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205274
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 68205275
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205276
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.U', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205277
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 203, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8400.V', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 68205278
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.W', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205279
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.8400._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8400.X', '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': 8400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.1', 'subgroup_hash': None, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205280
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 206, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.9408.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9408.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': 9408, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '75.1', 'subgroup_hash': None, 'subgroup_order': 75, 'subgroup_tex': 'C_{75}', 'supersolvable': True, 'sylow': 0}
  • id: 68205281
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9800.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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205282
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.B', '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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.12', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_3:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205283
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.C', '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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.27', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.D', '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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.25', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9800.E', '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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.38', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'Q_8\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 68205287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.F', '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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.26', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.G', '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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.26', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9800.H', '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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.37', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'D_4\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 68205290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.I', '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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.25', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205291
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.27', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'S_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205292
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.29', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_6:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.30', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 68205294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.9800._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9800.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': 9800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.26', 'subgroup_hash': None, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '705600.b.11025.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '11025.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': 11025, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.191', 'subgroup_hash': None, 'subgroup_order': 64, 'subgroup_tex': 'Q_{32}:C_2', 'supersolvable': True, 'sylow': 2}
  • id: 68205297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.11200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11200.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': 11200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '63.3', 'subgroup_hash': None, 'subgroup_order': 63, 'subgroup_tex': 'C_{21}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.11200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11200.B', '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': 11200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '63.3', 'subgroup_hash': None, 'subgroup_order': 63, 'subgroup_tex': 'C_{21}:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205299
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.11760.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11760.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': 11760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.2', 'subgroup_hash': None, 'subgroup_order': 60, 'subgroup_tex': 'C_5:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.12600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12600.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': 12600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': None, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.12600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12600.B', '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': 12600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': None, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205302
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 226, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.14112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14112.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': 14112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '50.2', 'subgroup_hash': None, 'subgroup_order': 50, 'subgroup_tex': 'C_{50}', 'supersolvable': True, 'sylow': 0}
  • id: 68205303
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 7, 'label': '705600.b.14400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14400.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': 14400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49.2', 'subgroup_hash': None, 'subgroup_order': 49, 'subgroup_tex': 'C_7^2', 'supersolvable': True, 'sylow': 7}
  • id: 68205304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.27', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.B', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.25', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.C', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.27', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205308
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.D', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.1', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.E', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.8', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205310
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 233, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.F', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 68205311
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.G', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.H', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.8', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.I', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.25', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205314
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 237, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 68205315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.28', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 68205316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.40', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.32', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.25', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.27', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.29', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': '\\GL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.28', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 68205323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205324
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 246, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 68205325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.28', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 68205326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.U', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.33', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': '\\SL(2,3):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 68205327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.V', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.46', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.W', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.47', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.X', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.16', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3:\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.Y', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.Z', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.27', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.BA', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.27', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205334
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.BB', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205335
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 256, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.BC', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 68205336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.BD', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.33', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': '\\SL(2,3):C_2', 'supersolvable': False, 'sylow': 0}
  • id: 68205337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14700.BE', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.32', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.BF', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.27', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.14700._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14700.BG', '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': 14700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.26', 'subgroup_hash': None, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205341
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 261, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16800.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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 68205342
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 262, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16800.B', '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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 68205343
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.C', '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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.4', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_3\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205344
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.D', '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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205345
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.E', '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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205346
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.F', '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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205347
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.G', '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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205348
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.H', '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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205349
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.I', '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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205351
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205352
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205353
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.2', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_7:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205354
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 273, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16800.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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 68205355
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.1', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205356
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.1', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205357
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.16800._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16800.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': 16800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.1', 'subgroup_hash': None, 'subgroup_order': 42, 'subgroup_tex': 'F_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205358
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.17640.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '17640.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': 17640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '40.3', 'subgroup_hash': None, 'subgroup_order': 40, 'subgroup_tex': 'C_5:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205359
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.19600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19600.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': 19600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.12', 'subgroup_hash': None, 'subgroup_order': 36, 'subgroup_tex': 'C_6\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205360
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.19600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '19600.B', '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': 19600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': None, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205362
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.19600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19600.C', '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': 19600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': None, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205363
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.19600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19600.D', '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': 19600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': None, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205364
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.19600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '19600.E', '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': 19600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': None, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
  • id: 68205365
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.19600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19600.F', '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': 19600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': None, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205366
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.19600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '19600.G', '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': 19600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': None, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.22050._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22050.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': 22050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.19', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': '\\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.22050._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22050.B', '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': 22050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.20', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.22050._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22050.C', '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': 22050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.22050._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22050.D', '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': 22050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.20', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'Q_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.22050._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22050.E', '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': 22050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.42', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 68205373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.22050._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22050.F', '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': 22050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.41', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.22050._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '22050.G', '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': 22050, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.19', 'subgroup_hash': None, 'subgroup_order': 32, 'subgroup_tex': '\\SD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 68205375
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 292, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.23520.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '23520.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': 23520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': None, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 68205376
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.25200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25200.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': 25200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': None, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205377
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.25200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25200.B', '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': 25200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': None, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205378
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.25200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '25200.C', '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': 25200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': None, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205379
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 296, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.25200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '25200.D', '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': 25200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': None, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 68205380
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.25200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25200.E', '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': 25200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': None, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205381
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.25200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '25200.F', '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': 25200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': None, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205382
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 299, 'cyclic': True, 'direct': None, 'hall': 5, 'label': '705600.b.28224.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28224.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': 28224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '25.1', 'subgroup_hash': None, 'subgroup_order': 25, 'subgroup_tex': 'C_{25}', 'supersolvable': True, 'sylow': 5}
  • id: 68205385
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 300, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205386
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.B', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205387
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.C', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205388
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 303, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.D', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.E', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.F', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.G', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.H', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.I', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205396
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 310, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205401
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205402
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 316, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 68205403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205404
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205405
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '29400.U', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.V', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.W', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.X', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.29400._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29400.Y', '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': 29400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': None, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 68205412
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 325, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.33600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '33600.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': 33600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': None, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 68205413
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 326, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.33600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '33600.B', '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': 33600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': None, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 68205414
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.33600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33600.C', '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': 33600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.1', 'subgroup_hash': None, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205415
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.33600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33600.D', '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': 33600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.1', 'subgroup_hash': None, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205416
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.33600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33600.E', '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': 33600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.1', 'subgroup_hash': None, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205418
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.33600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33600.F', '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': 33600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.1', 'subgroup_hash': None, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205419
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.33600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33600.G', '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': 33600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.1', 'subgroup_hash': None, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205420
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.33600._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33600.H', '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': 33600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21.1', 'subgroup_hash': None, 'subgroup_order': 21, 'subgroup_tex': 'C_7:C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205421
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.35280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35280.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': 35280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.1', 'subgroup_hash': None, 'subgroup_order': 20, 'subgroup_tex': 'C_5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205422
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.39200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '39200.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': 39200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': None, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205423
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.39200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39200.B', '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': 39200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.3', 'subgroup_hash': None, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205424
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.39200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '39200.C', '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': 39200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': None, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.B', '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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205427
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 339, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.C', '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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.D', '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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.E', '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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 68205431
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.F', '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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.G', '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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205433
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 344, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.H', '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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.I', '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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.44100._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '44100.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': 44100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': None, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 68205437
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 348, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.47040.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '47040.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': 47040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': None, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 68205438
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 349, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.50400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '50400.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': 50400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': None, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205440
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 350, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.50400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '50400.B', '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': 50400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': None, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205441
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.50400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50400.C', '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': 50400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': None, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205442
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.50400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '50400.D', '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': 50400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': None, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 68205443
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 353, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205444
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.B', '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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205445
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 355, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.C', '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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205446
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 6, 'counter': 356, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.D', '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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205447
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '58800.E', '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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205448
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '58800.F', '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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205449
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 359, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.G', '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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205451
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 360, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.H', '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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205452
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.I', '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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205453
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '58800.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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205454
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '58800.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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205455
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 364, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 68205456
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.58800._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '58800.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': 58800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': None, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205457
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 366, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.70560.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '70560.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': 70560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': None, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 68205458
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '705600.b.78400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '78400.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': 78400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': None, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 68205459
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 368, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.88200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88200.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': 88200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.88200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88200.B', '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': 88200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.88200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88200.C', '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': 88200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.88200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88200.D', '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': 88200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.88200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88200.E', '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': 88200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205465
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.88200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88200.F', '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': 88200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205466
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 374, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.88200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '88200.G', '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': 88200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': None, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 68205467
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.100800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100800.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': 100800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': None, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205468
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.100800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '100800.B', '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': 100800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': None, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 68205469
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6, 'counter': 377, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.117600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '117600.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '117600.d', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 117600, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': '\\POMinus(4,7)', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'S', 'U0', 'C2'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': None, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205470
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 378, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.117600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '117600.B', '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': 117600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': None, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205471
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 379, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.117600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '117600.C', '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': 117600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': None, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205473
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 380, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.117600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '117600.D', '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': 117600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': None, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205474
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.117600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '117600.E', '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': 117600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': None, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205475
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.117600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '117600.F', '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': 117600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': None, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205476
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.117600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '117600.G', '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': 117600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': None, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 68205477
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.141120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '141120.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': 141120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 68205478
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '705600.b.176400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176400.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': 176400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 68205479
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 386, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.176400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176400.B', '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': 176400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205480
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2, 'counter': 387, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.176400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '176400.C', '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': 176400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': None, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 68205481
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 3, 'counter': 388, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.235200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '235200.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '235200.e', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 235200, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': '\\SL(2,49):C_2', 'simple': True, 'solvable': True, 'special_labels': ['C3'], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': None, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205482
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.235200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '235200.B', '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': 235200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': None, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205484
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.235200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '235200.C', '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': 235200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': None, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 68205485
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2, 'counter': 391, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.352800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '352800.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 352800, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_3.\\PSL(2,49).C_2', 'simple': True, 'solvable': True, 'special_labels': ['Phi'], 'split': None, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 68205486
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '705600.b.352800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '352800.B', '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': 352800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': None, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 68205487
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '705600.b', 'ambient_counter': 2, 'ambient_order': 705600, 'ambient_tex': '\\SL(2,49).C_6', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 393, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '705600.b.705600.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '705600.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '705600.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 705600, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': '\\SL(2,49).C_6', 'simple': False, 'solvable': True, 'special_labels': ['U1', 'C4'], '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: 68205480
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28487064012000, 1510364144254], 'label': '705600.b.176400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '176400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205481
    {'ambient': '705600.b', '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': [18991376008000], 'label': '705600.b.235200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '235200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '235200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205482
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28359697158640], 'label': '705600.b.235200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '235200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '235200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205181
    {'ambient': '705600.b', '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': 980, 'diagramx': None, 'generators': [1945695284743, 28487064012000, 16843674852357], 'label': '705600.b.2940._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2940.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2940._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205182
    {'ambient': '705600.b', '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': 980, 'diagramx': None, 'generators': [28487064012000, 14005309456745, 17020193990500], 'label': '705600.b.2940._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2940.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2940._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205302
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '14112.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': 1176, 'diagramx': None, 'generators': [12387587565066, 28381404122498, 28487064012000], 'label': '705600.b.14112.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14112.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14112.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205303
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '14400.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': 50, 'diagramx': None, 'generators': [4755715560961, 4750472600329], 'label': '705600.b.14400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205161
    {'ambient': '705600.b', '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': [18991376008000, 28487064012000, 30676987278714, 31008736130420], 'label': '705600.b.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: 68205162
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [29497332681891, 28487064012000, 8592842727815, 18545885400557, 32293241441692, 5778372147295, 13404733483669, 23172422140600], 'label': '705600.b.150._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205163
    {'ambient': '705600.b', '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': 400, 'diagramx': None, 'generators': [18991376008000, 18119389750262, 23967636569631, 8645387375864], 'label': '705600.b.2400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205164
    {'ambient': '705600.b', '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': 400, 'diagramx': None, 'generators': [6878193077810, 18119389750262, 8645387375864, 28601272703608], 'label': '705600.b.2400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205165
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [29367715465668, 28487064012000, 18991376008000, 25547088508729, 12310964665977, 31192934417310, 4634199457874], 'label': '705600.b.2450._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205166
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [29367715465668, 31192934417310, 18991376008000, 15901547112034, 25547088508729, 28487064012000, 17594777831250], 'label': '705600.b.2450._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205167
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [29367715465668, 28487064012000, 7727202697269, 30037885168108, 18991376008000, 25547088508729, 31192934417310], 'label': '705600.b.2450._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205168
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [29367715465668, 28487064012000, 30037885168108, 18991376008000, 25547088508729, 17594777831250, 31192934417310], 'label': '705600.b.2450._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205169
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [9708478226290, 18991376008000, 15046659273013, 21855725042110, 28487064012000, 21470443326365, 12154341999840], 'label': '705600.b.2450._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205170
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 3108702294015, 9505132697764, 28487064012000, 26846273317642, 18907075241854, 24517288763529], 'label': '705600.b.2450._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205171
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [29367715465668, 31192934417310, 18991376008000, 25547088508729, 28487064012000, 17594777831250, 4634199457874], 'label': '705600.b.2450._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205172
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 25048209001811, 4996516577443, 29202414249765, 17759228506429, 11929319144514], 'label': '705600.b.2450._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205173
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [8592842727815, 13404733483669, 28487064012000, 23172422140600, 18521390609785, 29497332681891, 18545885400557, 5778372147295], 'label': '705600.b.150._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205174
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [28487064012000, 18991376008000, 23051831531963, 28499452705172, 13081844810403, 4466798421281, 13934924899674], 'label': '705600.b.2450._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2450.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2450._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205175
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 11391494172593, 13349445109042, 28487064012000, 6983046118999], 'label': '705600.b.2800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205176
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [31497146544464, 18991376008000, 478501391267, 28487064012000, 15432176793420], 'label': '705600.b.2800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205177
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18968208672306, 18991376008000, 28487064012000, 3583570982033, 15432176793420], 'label': '705600.b.2800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205178
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 13349445109042, 28487064012000, 7666070210409, 6983046118999], 'label': '705600.b.2800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205179
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 3583570982033, 27028755051373, 15432176793420], 'label': '705600.b.2800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205180
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [31497146544464, 18991376008000, 28487064012000, 15432176793420, 16355400593148], 'label': '705600.b.2800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205183
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '3528.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': 1176, 'diagramx': None, 'generators': [7902565067106, 28487064012000, 24977616284859, 16234294798369, 31195371896234], 'label': '705600.b.3528.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3528.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3528.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205184
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [8592842727815, 18991376008000, 32330085411065, 28487064012000, 21383641087297, 22225625766697, 17511135921113, 8364351378057], 'label': '705600.b.150._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205185
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [19199209740110, 28487064012000, 29894801773439, 4059971599385], 'label': '705600.b.3600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205186
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [6281574279119, 296819806512, 28487064012000, 31996502190848], 'label': '705600.b.3600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205187
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [29464453821970, 296819806512, 28487064012000, 31996502190848], 'label': '705600.b.3600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205188
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [21000739594263, 5720148602036, 28487064012000, 18453430363578, 7785239034460, 12511985949906, 8973036544709], 'label': '705600.b.3675._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3675.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3675._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205189
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [24741985695940, 18991376008000, 33110531378324, 28487064012000, 20147049964926, 4381170357873, 5815057814868], 'label': '705600.b.3675._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3675.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3675._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205190
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [26945608874056, 20059600238200, 31385428379656, 28487064012000, 11328779354960], 'label': '705600.b.4200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205191
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [5671310329484, 26945608874056, 20059600238200, 31385428379656, 28487064012000], 'label': '705600.b.4200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205192
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [26945608874056, 21882399549858, 20059600238200, 31385428379656, 28487064012000], 'label': '705600.b.4200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205193
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [31385428379656, 28487064012000, 11328779354960, 15013400910132, 20915348101399], 'label': '705600.b.4200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205194
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [5671310329484, 31385428379656, 28487064012000, 15013400910132, 20915348101399], 'label': '705600.b.4200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205195
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 29346160419934, 28487064012000, 28708241009415, 15401584960745], 'label': '705600.b.175._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205196
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [21882399549858, 31385428379656, 28487064012000, 15013400910132, 20915348101399], 'label': '705600.b.4200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205197
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [26945608874056, 18991376008000, 20059600238200, 31385428379656, 28487064012000], 'label': '705600.b.4200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205198
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 31385428379656, 28487064012000, 10796808713731, 29914094176705], 'label': '705600.b.4200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205199
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '4704.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': 1176, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 789302913970, 13947781994495], 'label': '705600.b.4704.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4704.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4704.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205200
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [12807907166205, 6889985793643, 12835145801191], 'label': '705600.b.4800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205201
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [6889985793643, 12835145801191, 6452400979306], 'label': '705600.b.4800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205202
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [20189706803057, 6889985793643, 12835145801191], 'label': '705600.b.4800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205203
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [18991376008000, 6467009018995, 22782421606193], 'label': '705600.b.4800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205204
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 5852953242846, 28487064012000, 15725809383961, 29666349838497, 23439896486219], 'label': '705600.b.4900._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205205
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 14863925974316, 10729976536410, 30816946965958, 12882243083745], 'label': '705600.b.4900._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205206
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [8968651424271, 18991376008000, 18896475044856, 30325438543765, 28487064012000], 'label': '705600.b.175._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205207
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 14863925974316, 26687429199860, 10729976536410, 12882243083745], 'label': '705600.b.4900._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205208
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 24710914950103, 25979423773746, 28487064012000, 4633834864217, 2235863588920], 'label': '705600.b.4900._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205209
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [13818383382508, 18991376008000, 5852953242846, 28487064012000, 15725809383961, 23439896486219], 'label': '705600.b.4900._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205210
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 30584848939227, 29425079932356, 23076215663294, 28487064012000, 11986459700424], 'label': '705600.b.4900._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205211
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 24710914950103, 25979423773746, 28487064012000, 15024895623594, 4633834864217], 'label': '705600.b.4900._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205212
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 28493039625482, 22840891900662, 28487064012000, 27577557280842, 9047414863710], 'label': '705600.b.4900._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205213
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 8603385583849, 25979423773746, 28487064012000, 4633834864217, 26687429199860], 'label': '705600.b.4900._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205214
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 17847201556153, 26256584244657, 6799946461076, 21453819538504, 28487064012000], 'label': '705600.b.4900._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205215
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 28493039625482, 28487064012000, 26075596634344, 27577557280842, 9047414863710], 'label': '705600.b.4900._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205216
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [13948847215478, 18991376008000, 15125734346194, 28487064012000, 3812475851457, 1987495511680], 'label': '705600.b.4900._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205217
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [22445446080158, 28487064012000, 18991376008000, 2525077993240, 5388856664366, 22566955144153, 4102796472190], 'label': '705600.b.200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205218
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [7708561450292, 18991376008000, 12959484421630, 28487064012000, 5017624135278, 21488969917992], 'label': '705600.b.4900._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205219
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [4752610452734, 18991376008000, 3037637052226, 28487064012000, 26075596634344, 26846596130720], 'label': '705600.b.4900._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205220
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 3984957016901, 5495556118159, 28487064012000, 16093855776170, 9707198268332], 'label': '705600.b.4900._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205221
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [13948847215478, 18991376008000, 6799946461076, 28487064012000, 3812475851457, 1987495511680], 'label': '705600.b.4900._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205222
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 8603385583849, 25979423773746, 28487064012000, 4633834864217, 4753216057087], 'label': '705600.b.4900._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4900.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4900._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205223
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 26988562069502, 10839581067058, 28487064012000], 'label': '705600.b.5600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205224
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 14171177052178, 10839581067058, 28487064012000], 'label': '705600.b.5600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205225
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [21556888064373, 18991376008000, 25358986059701, 24232716573056], 'label': '705600.b.5600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205226
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [18991376008000, 25358986059701, 24232716573056, 19315111636420], 'label': '705600.b.5600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205227
    {'ambient': '705600.b', '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': 980, 'diagramx': None, 'generators': [15710394726610, 28487064012000, 7922082200150], 'label': '705600.b.5880._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5880.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5880._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205228
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [18991376008000, 12862869419322, 5974584259122, 28487064012000, 27616428208511, 15976014285776, 19813345971317], 'label': '705600.b.200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205229
    {'ambient': '705600.b', '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': 980, 'diagramx': None, 'generators': [25275450513126, 28487064012000, 8024224070702], 'label': '705600.b.5880._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5880.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5880._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205230
    {'ambient': '705600.b', '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': 5880, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 496360970925, 27611717251055, 33088777606088], 'label': '705600.b.5880._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5880.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5880._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205231
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '7056.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': 1176, 'diagramx': None, 'generators': [14811220450345, 29658997468494, 7942250957335, 28487064012000], 'label': '705600.b.7056.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7056.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7056.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205232
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [12670248895171, 10069789998394, 28487064012000], 'label': '705600.b.7200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205233
    {'ambient': '705600.b', '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': 400, 'diagramx': None, 'generators': [26749866703082, 30594374541545, 13283868866933], 'label': '705600.b.7200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205234
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28487064012000, 25292403314817, 18991376008000, 29686362891230, 13369867410363, 31806549447184], 'label': '705600.b.7350._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205235
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [11058435112282, 3195766040598, 28487064012000, 17619916092569, 8548899244458, 26918464911745], 'label': '705600.b.7350._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205236
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [2143460079782, 28487064012000, 17619916092569, 8548899244458, 26918464911745, 23648988794889], 'label': '705600.b.7350._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205237
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [11058435112282, 2143460079782, 28487064012000, 17619916092569, 8548899244458, 26918464911745], 'label': '705600.b.7350._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205238
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [21779283851002, 28487064012000, 14575986619075, 577893654857, 29040870360713, 3130293893643], 'label': '705600.b.7350._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205239
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [18991376008000, 12862869419322, 7474014371111, 5974584259122, 28487064012000, 15976014285776, 19813345971317], 'label': '705600.b.200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205240
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [17351875923127, 13369867410363, 28487064012000, 15357642353854, 24938519006879, 25447407183603], 'label': '705600.b.7350._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205241
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [11058435112282, 28487064012000, 17619916092569, 8548899244458, 26918464911745, 2337866315351], 'label': '705600.b.7350._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205242
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [32812783707824, 28487064012000, 17619916092569, 8548899244458, 26918464911745, 2337866315351], 'label': '705600.b.7350._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205243
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [22299480699016, 28487064012000, 23741282951935, 3827003217891, 21211678536478, 22876166145094], 'label': '705600.b.7350._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205244
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [17351875923127, 30035038172509, 13369867410363, 28487064012000, 24938519006879, 25447407183603], 'label': '705600.b.7350._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205245
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [28487064012000, 9727695363005, 26178901199110, 13643959930865, 16476245222125, 4093713750728], 'label': '705600.b.7350._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205246
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 30708536306589, 28487064012000, 10527830293223, 21212848302596, 11722369627449], 'label': '705600.b.7350._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205247
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 30708536306589, 28487064012000, 21212848302596, 22876166145094, 25405785224782], 'label': '705600.b.7350._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205248
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 17604581991168, 14534301175664, 28487064012000, 9883470503586, 5488417094404], 'label': '705600.b.7350._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205249
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 1544661835689, 30708536306589, 28487064012000, 21212848302596, 22876166145094], 'label': '705600.b.7350._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205250
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [28487064012000, 3203704550021, 13677218178540, 14118631107869, 6696881838786, 18304109481958, 22198329032331], 'label': '705600.b.300._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205251
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 22299480699016, 28487064012000, 3827003217891, 9093537356042, 22876166145094], 'label': '705600.b.7350._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205252
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 1544661835689, 30708536306589, 3788575346031, 28487064012000, 21212848302596], 'label': '705600.b.7350._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7350.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7350._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205253
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 25747009755853, 22779672156294], 'label': '705600.b.8400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205254
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [18991376008000, 22840891900662, 28487064012000, 23780421531521], 'label': '705600.b.8400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205255
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [27253222013990, 28487064012000, 22779672156294, 27321742841358], 'label': '705600.b.8400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205256
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [22840891900662, 28487064012000, 12780706264102, 27321742841358], 'label': '705600.b.8400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205257
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [22840891900662, 28487064012000, 12780706264102, 32991240719647], 'label': '705600.b.8400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205258
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [16551974239227, 22840891900662, 28487064012000, 12780706264102], 'label': '705600.b.8400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205259
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 17485653895488, 22779672156294, 27321742841358], 'label': '705600.b.8400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205260
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 17485653895488, 32991240719647, 22779672156294], 'label': '705600.b.8400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205478
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [28487064012000, 25391444049326], 'label': '705600.b.176400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '176400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205261
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [6696881838786, 22198329032331, 13677218178540, 18304109481958, 28487064012000, 7448022094741, 3203704550021], 'label': '705600.b.300._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205262
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [16551974239227, 28487064012000, 17485653895488, 22779672156294], 'label': '705600.b.8400._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205263
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 19284040887888, 7555729718480, 11899207403898], 'label': '705600.b.8400._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205264
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 9988072801973, 7555729718480, 11899207403898], 'label': '705600.b.8400._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205265
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 5333168114239, 7555729718480, 11899207403898], 'label': '705600.b.8400._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205266
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 19284040887888, 20947552868590, 7555729718480], 'label': '705600.b.8400._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205267
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [27253222013990, 28487064012000, 32991240719647, 22779672156294], 'label': '705600.b.8400._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205268
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [16551974239227, 27253222013990, 28487064012000, 22779672156294], 'label': '705600.b.8400._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205269
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [22840891900662, 28487064012000, 23780421531521, 27321742841358], 'label': '705600.b.8400._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205270
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [22840891900662, 28487064012000, 23780421531521, 32991240719647], 'label': '705600.b.8400._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205271
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [16551974239227, 22840891900662, 28487064012000, 23780421531521], 'label': '705600.b.8400._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205272
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '2.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': [18991376008000, 17428585760119, 28487064012000, 11323126439308], 'label': '705600.b.2.a1.a1', '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.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205273
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [6696881838786, 22198329032331, 13677218178540, 18304109481958, 28487064012000, 22714260028539, 3203704550021], 'label': '705600.b.300._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205274
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 22779672156294, 16510127449298], 'label': '705600.b.8400._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205275
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 8712093871920, 7555729718480], 'label': '705600.b.8400._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205276
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 7981934397517, 7555729718480], 'label': '705600.b.8400._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205277
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 22840891900662, 28487064012000, 6729484913732], 'label': '705600.b.8400._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205278
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 20947552868590, 9988072801973, 7555729718480], 'label': '705600.b.8400._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205279
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 5333168114239, 20947552868590, 7555729718480], 'label': '705600.b.8400._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8400.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8400._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205280
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '9408.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': 1176, 'diagramx': None, 'generators': [18991376008000, 5262887383820, 27393788159933], 'label': '705600.b.9408.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9408.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9408.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205281
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 10491072526314, 995384639963, 4978157215119], 'label': '705600.b.9800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205282
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 27569651737441, 10858532488896, 10929656216129, 28487064012000], 'label': '705600.b.9800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205283
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [4373866170100, 18991376008000, 9501179693191, 28487064012000, 26838684351579], 'label': '705600.b.9800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205284
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [31188733625426, 2498804837195, 17852207805576, 28487064012000, 29463714599330, 1166051003834, 7203792804008], 'label': '705600.b.300._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205285
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 4200898073833, 28487064012000, 32699705270492, 14880470650259], 'label': '705600.b.9800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205286
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 22146528782057, 28487064012000, 27893064416954, 3575981900085], 'label': '705600.b.9800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205287
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [27239905104449, 18991376008000, 28487064012000, 506952617489, 28625728217451], 'label': '705600.b.9800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205288
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [16121215419845, 18991376008000, 22290278615719, 28487064012000, 17845955602087], 'label': '705600.b.9800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205289
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 22146528782057, 28487064012000, 27893064416954, 31103639578794], 'label': '705600.b.9800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205290
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 18776964422858, 14669812873664, 11473820083423, 28487064012000], 'label': '705600.b.9800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205291
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [18991376008000, 22091849743701, 28487064012000, 7518124291209, 15639767779290], 'label': '705600.b.9800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205292
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [18991376008000, 28219828732034, 28487064012000, 6303468228912, 4756926370515], 'label': '705600.b.9800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205293
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [18991376008000, 21512199944400, 28487064012000, 6303468228912, 8269631477105], 'label': '705600.b.9800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205294
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [18991376008000, 9501179693191, 22091849743701, 8706486231183, 28487064012000], 'label': '705600.b.9800._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9800.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9800._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205295
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [3302861497493, 31188733625426, 2498804837195, 17852207805576, 28487064012000, 29463714599330, 7203792804008], 'label': '705600.b.300._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205296
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '11025.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': 3675, 'diagramx': None, 'generators': [17067163678184, 25778977793949, 28487064012000, 15018966113826, 8829330291105, 8142354015977], 'label': '705600.b.11025.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11025.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11025.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205297
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 14214475027029, 4452353415014], 'label': '705600.b.11200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205298
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [15008963978867, 18991376008000, 14214475027029], 'label': '705600.b.11200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205299
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '11760.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': 5880, 'diagramx': None, 'generators': [18991376008000, 18232505769028, 30043557840395, 28487064012000], 'label': '705600.b.11760.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11760.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11760.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205300
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [26364271514894, 20537091425070, 28487064012000, 22384756591573], 'label': '705600.b.12600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205301
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [8278713374968, 20537091425070, 28487064012000, 15801641055407], 'label': '705600.b.12600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205304
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [16483211389978, 18991376008000, 26965887006571, 28487064012000, 16188736903590], 'label': '705600.b.14700._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205305
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [4761122070111, 31685362488022, 28487064012000, 27231992972410, 31065288277830], 'label': '705600.b.14700._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205306
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [31188733625426, 2498804837195, 1651572053627, 17852207805576, 28487064012000, 29463714599330, 7203792804008], 'label': '705600.b.300._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205307
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [31685362488022, 28487064012000, 27231992972410, 30446593936886, 31065288277830], 'label': '705600.b.14700._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205308
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28487064012000, 24724553964714, 28054282365669, 13252305118140, 25711865344570], 'label': '705600.b.14700._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205309
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [8389608567626, 3616018274581, 4627502105114, 28487064012000, 2437100458208], 'label': '705600.b.14700._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205310
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [1800562713523, 26438227510966, 8829607019879, 28487064012000, 28009857149919], 'label': '705600.b.14700._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205311
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [11634061932712, 28487064012000, 24724553964714, 13252305118140, 25711865344570], 'label': '705600.b.14700._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205312
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [8389608567626, 3616018274581, 28487064012000, 1410480782123, 2437100458208], 'label': '705600.b.14700._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205313
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [4761122070111, 16483211389978, 18991376008000, 28487064012000, 16188736903590], 'label': '705600.b.14700._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205314
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 1800562713523, 18866112079013, 28487064012000, 12897487589872], 'label': '705600.b.14700._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205315
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [17351875923127, 28487064012000, 27487164124752, 13833233324321, 9778058512395], 'label': '705600.b.14700._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205316
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [3723325791703, 24641862936420, 28487064012000, 9257464900067, 17281410962751], 'label': '705600.b.14700._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205317
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [28487064012000, 3203704550021, 13677218178540, 14118631107869, 6696881838786, 18304109481958, 15003475013587], 'label': '705600.b.300._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205318
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [4365965463482, 28487064012000, 27487164124752, 13833233324321, 9778058512395], 'label': '705600.b.14700._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205319
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [4761122070111, 31685362488022, 18246686568160, 28487064012000, 27231992972410], 'label': '705600.b.14700._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205320
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [31685362488022, 18246686568160, 28487064012000, 27231992972410, 30446593936886], 'label': '705600.b.14700._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205321
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18119389750262, 14918444638275, 32143480953767, 17235602087470, 28487064012000], 'label': '705600.b.14700._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205322
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [33110531378324, 27160766269009, 4306992360763, 28487064012000, 4528587177415], 'label': '705600.b.14700._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205323
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18639551484831, 4365965463482, 16244545641257, 28487064012000, 31008631761465], 'label': '705600.b.14700._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205324
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [1800562713523, 26438227510966, 8829607019879, 28487064012000, 30622383002159], 'label': '705600.b.14700._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205325
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [27389943345340, 16402782130235, 28487064012000, 19648165534981, 14992863477631], 'label': '705600.b.14700._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205326
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [14918444638275, 32143480953767, 17235602087470, 28487064012000, 9257464900067], 'label': '705600.b.14700._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205327
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 28153240171534, 4365965463482, 28487064012000, 13833233324321], 'label': '705600.b.14700._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205328
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [6696881838786, 13677218178540, 15003475013587, 18304109481958, 28487064012000, 7448022094741, 3203704550021], 'label': '705600.b.300._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205329
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 11029982929719, 4365965463482, 28487064012000, 18923456806888], 'label': '705600.b.14700._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205330
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [673311525811, 28487064012000, 24724553964714, 30629110808008, 13252305118140], 'label': '705600.b.14700._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205331
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [673311525811, 28487064012000, 30446593936886, 24724553964714, 13252305118140], 'label': '705600.b.14700._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205332
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 26542184635612, 27389943345340, 28487064012000, 32805558360863], 'label': '705600.b.14700._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205333
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 2236775254196, 6694905335299, 20938033031703], 'label': '705600.b.14700._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205334
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 4365965463482, 28487064012000, 20190675004879, 13833233324321], 'label': '705600.b.14700._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205335
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 15659437461038, 28487064012000, 856918810425, 18923456806888], 'label': '705600.b.14700._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205336
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [32143480953767, 17235602087470, 28487064012000, 9257464900067, 24083741091135], 'label': '705600.b.14700._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205337
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [33074089716400, 4365965463482, 28487064012000, 13833233324321, 9778058512395], 'label': '705600.b.14700._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205338
    {'ambient': '705600.b', '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': 7350, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 25292403314817, 19458938950391, 13833233324321], 'label': '705600.b.14700._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205339
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [6696881838786, 13677218178540, 15003475013587, 18304109481958, 28487064012000, 22714260028539, 3203704550021], 'label': '705600.b.300._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205340
    {'ambient': '705600.b', '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': 7350, 'diagramx': None, 'generators': [18991376008000, 25784910661389, 9275938457484, 28487064012000, 18923456806888], 'label': '705600.b.14700._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14700.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14700._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205341
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [12377146076364, 18991376008000, 28487064012000], 'label': '705600.b.16800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205342
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 29417191206541], 'label': '705600.b.16800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205343
    {'ambient': '705600.b', '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': 400, 'diagramx': None, 'generators': [18991376008000, 10760056330480, 9377927543582], 'label': '705600.b.16800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205344
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [19032053032098, 28487064012000, 19909558215881], 'label': '705600.b.16800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205345
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [4831174553403, 28487064012000, 17083506319291], 'label': '705600.b.16800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205346
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [19032053032098, 28487064012000, 17083506319291], 'label': '705600.b.16800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205347
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [9565460096399, 28487064012000, 19909558215881], 'label': '705600.b.16800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205348
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [4831174553403, 28487064012000, 19909558215881], 'label': '705600.b.16800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205349
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [9565460096399, 28487064012000, 17083506319291], 'label': '705600.b.16800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205350
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [18991376008000, 4220473187592, 17969280764249, 28487064012000, 29463714599330, 22600051807576, 27972848287904], 'label': '705600.b.300._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205351
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [26656235173558, 4634641599185, 20839906378918], 'label': '705600.b.16800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205352
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [26656235173558, 20839906378918, 2711962203200], 'label': '705600.b.16800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205353
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [26656235173558, 20839906378918, 3730750519971], 'label': '705600.b.16800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205354
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [18991376008000, 10760056330480, 15315877178372], 'label': '705600.b.16800._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205355
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [20839906378918, 21700917885946, 2711962203200], 'label': '705600.b.16800._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205356
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [20839906378918, 21700917885946, 3730750519971], 'label': '705600.b.16800._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205357
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [4634641599185, 20839906378918, 21700917885946], 'label': '705600.b.16800._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16800.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16800._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205358
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '17640.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': 5880, 'diagramx': None, 'generators': [5154070553579, 28487064012000, 14498986457183, 13747623326781], 'label': '705600.b.17640.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '17640.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17640.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205359
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [23478680993039, 18991376008000, 3497929727026, 28487064012000], 'label': '705600.b.19600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205360
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 28611806727591, 28487064012000, 29941012721201], 'label': '705600.b.19600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205361
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [7233250079902, 18991376008000, 31083244389118, 981584161193, 15003475013587, 28487064012000, 19972960051537], 'label': '705600.b.300._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205362
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 21047755948362, 32277625452999, 28487064012000], 'label': '705600.b.19600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205363
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 22007346434684, 11890575328189], 'label': '705600.b.19600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205364
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [18991376008000, 27363955857729, 494345686212, 28487064012000], 'label': '705600.b.19600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205365
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [25768561373106, 18991376008000, 8759918760459, 28487064012000], 'label': '705600.b.19600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205366
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [27741001557859, 18991376008000, 27363955857729, 28487064012000], 'label': '705600.b.19600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205367
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [16828614467140, 23645731389494, 6272169854236, 28487064012000, 27238083831936], 'label': '705600.b.22050._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22050.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22050._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205368
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [21104817847599, 25362501125355, 28487064012000, 11883148179281, 18975514572424], 'label': '705600.b.22050._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22050.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22050._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205369
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [1025199405016, 17152491794462, 28487064012000, 1844637105139, 32658503869020], 'label': '705600.b.22050._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22050.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22050._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205370
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [28487064012000, 1844637105139, 32658503869020, 21522988444674, 14774454851965], 'label': '705600.b.22050._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22050.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22050._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205371
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [17152491794462, 28487064012000, 1844637105139, 32658503869020, 21522988444674], 'label': '705600.b.22050._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22050.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22050._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205372
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [7233250079902, 18991376008000, 31083244389118, 981584161193, 28487064012000, 5724101608205, 19972960051537], 'label': '705600.b.300._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205373
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [17152491794462, 28487064012000, 9433497452266, 23605761593774, 15823145409313], 'label': '705600.b.22050._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22050.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22050._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205374
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [4067681694132, 28487064012000, 1844637105139, 32658503869020, 28493562506051], 'label': '705600.b.22050._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22050.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22050._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205375
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '23520.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': 1176, 'diagramx': None, 'generators': [18991376008000, 758073032503, 28487064012000], 'label': '705600.b.23520.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23520.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23520.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205376
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [24400329893417, 28487064012000, 31160688255178], 'label': '705600.b.25200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205377
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [18296726669125, 28487064012000, 2523085402194], 'label': '705600.b.25200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205378
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 22470103160748, 2523085402194], 'label': '705600.b.25200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205379
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [24400329893417, 28487064012000, 28426693439067], 'label': '705600.b.25200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205380
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [4517650492707, 28487064012000, 21154337119485], 'label': '705600.b.25200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205381
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [28487064012000, 21154337119485, 8952539381384], 'label': '705600.b.25200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '25200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '25200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205382
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '28224.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': 1176, 'diagramx': None, 'generators': [30148005965976, 5981515939722], 'label': '705600.b.28224.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '28224.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28224.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205383
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21042833918368, 28487064012000, 18016946754857], 'label': '705600.b.3.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205384
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 1555162682115, 870397419710, 28487064012000, 4672906668118], 'label': '705600.b.350._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205385
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 11646260422312, 16392127097569, 28487064012000], 'label': '705600.b.29400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205479
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [21453819538504, 28487064012000], 'label': '705600.b.176400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '176400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '176400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205386
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [19827673495337, 26147585119930, 28487064012000, 21766254692640], 'label': '705600.b.29400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205387
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28778318968895, 28487064012000, 24771362298579, 21705968688274], 'label': '705600.b.29400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205388
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [11646260422312, 28487064012000, 7641409233143, 32784254178275], 'label': '705600.b.29400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205389
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [27107409139021, 12880059013127, 28487064012000, 15032494937436], 'label': '705600.b.29400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205390
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [12401642278582, 28487064012000, 6977732532849, 8447321265844], 'label': '705600.b.29400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205391
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [32165510139520, 28487064012000, 1839101534676, 23385499656599], 'label': '705600.b.29400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205392
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [29133487452547, 327044305490, 28487064012000, 23983333702176], 'label': '705600.b.29400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205393
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [12401642278582, 28487064012000, 3229977487870, 8447321265844], 'label': '705600.b.29400._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205394
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [27147248265482, 3063989219893, 28487064012000, 31795935102892], 'label': '705600.b.29400._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205395
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [26842793648200, 18991376008000, 28487064012000, 20738912519153, 21614440356929], 'label': '705600.b.350._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205396
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [11646260422312, 28487064012000, 20777290346400, 32784254178275], 'label': '705600.b.29400._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205397
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 9949208562809, 25665532915171, 28487064012000], 'label': '705600.b.29400._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205398
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 12880059013127, 28487064012000, 25932888836752], 'label': '705600.b.29400._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205399
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 23601485773722, 28487064012000, 3229977487870], 'label': '705600.b.29400._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205400
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 23601485773722, 28487064012000, 13953447267699], 'label': '705600.b.29400._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205401
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 28927791570434, 28487064012000, 10864848061993], 'label': '705600.b.29400._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205402
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [18991376008000, 20587862077233, 28487064012000, 2094759892956], 'label': '705600.b.29400._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205403
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [19943008834176, 28487064012000, 6977732532849, 8447321265844], 'label': '705600.b.29400._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205404
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [21713877392001, 28487064012000, 23928570530867, 11909942286619], 'label': '705600.b.29400._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205405
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [25663192658077, 6042019304461, 28487064012000, 31646936072571], 'label': '705600.b.29400._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205406
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 11876733688041, 28487064012000, 9905233447882], 'label': '705600.b.350._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205407
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [19943008834176, 28487064012000, 3229977487870, 8447321265844], 'label': '705600.b.29400._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205408
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [25663192658077, 28487064012000, 21025480873896, 7980765806614], 'label': '705600.b.29400._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205409
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [27147248265482, 3063989219893, 15954463021421, 28487064012000], 'label': '705600.b.29400._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205410
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [21713877392001, 28487064012000, 3235824053287, 24771362298579], 'label': '705600.b.29400._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205411
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [12880059013127, 28487064012000, 15032494937436, 30225676660918], 'label': '705600.b.29400._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29400.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29400._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205412
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [18991376008000, 10758268180562], 'label': '705600.b.33600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205413
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [18991376008000, 19420521140321], 'label': '705600.b.33600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205414
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [9758846314189, 29258545563106], 'label': '705600.b.33600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205415
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [9758846314189, 25173429300997], 'label': '705600.b.33600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205416
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [10758268180562, 25173429300997], 'label': '705600.b.33600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205417
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 14062091133704, 3685317358497, 28487064012000], 'label': '705600.b.350._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205418
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [9758846314189, 17003197715570], 'label': '705600.b.33600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205419
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [10758268180562, 29258545563106], 'label': '705600.b.33600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205420
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [10758268180562, 17003197715570], 'label': '705600.b.33600._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33600.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33600._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205421
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '35280.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': 5880, 'diagramx': None, 'generators': [32227107874912, 11273010249226, 28487064012000], 'label': '705600.b.35280.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35280.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205422
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 5234501091506], 'label': '705600.b.39200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205423
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [18991376008000, 10856936284168, 32057601048561], 'label': '705600.b.39200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205424
    {'ambient': '705600.b', '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': 9800, 'diagramx': None, 'generators': [18991376008000, 28689345030289, 18821961501227], 'label': '705600.b.39200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205425
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18255606646803, 21565888479796, 28487064012000, 23371335321022], 'label': '705600.b.44100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205426
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18255606646803, 28487064012000, 23371335321022, 16476245222125], 'label': '705600.b.44100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205427
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28487064012000, 20364532897204, 24216958898684, 14978699144455], 'label': '705600.b.44100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205428
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 20917129136680, 28487064012000, 29214924777284], 'label': '705600.b.350._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205429
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [30573347656965, 19705233784225, 28487064012000, 7952542266474], 'label': '705600.b.44100._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205430
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [13123690779526, 28487064012000, 23850121085443, 7952542266474], 'label': '705600.b.44100._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205431
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [19705233784225, 28487064012000, 22436081824358, 7952542266474], 'label': '705600.b.44100._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205432
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [28728797010862, 24330560071099, 28487064012000, 14863362082370], 'label': '705600.b.44100._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205433
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [28487064012000, 23960734035748, 23850121085443, 14983536750953], 'label': '705600.b.44100._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205434
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [28487064012000, 26003475918954, 25397816314432, 32551679990019], 'label': '705600.b.44100._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205435
    {'ambient': '705600.b', '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': 7350, 'diagramx': None, 'generators': [15060669308308, 28487064012000, 23850121085443, 29557380767088], 'label': '705600.b.44100._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205436
    {'ambient': '705600.b', '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': 7350, 'diagramx': None, 'generators': [3090702651568, 19705233784225, 28487064012000, 7205645490182], 'label': '705600.b.44100._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44100.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44100._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205437
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '47040.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': 1176, 'diagramx': None, 'generators': [18991376008000, 20366595836200], 'label': '705600.b.47040.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '47040.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '47040.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205438
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [8976706890180, 28487064012000], 'label': '705600.b.50400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205439
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 25923046306551, 28487064012000, 6921108757794], 'label': '705600.b.350._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205440
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [28487064012000, 17774602122458], 'label': '705600.b.50400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205441
    {'ambient': '705600.b', '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': 400, 'diagramx': None, 'generators': [26457765697248, 31876771869277], 'label': '705600.b.50400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205442
    {'ambient': '705600.b', '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': 2800, 'diagramx': None, 'generators': [31876771869277, 12733246541001], 'label': '705600.b.50400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205443
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 16296966688433], 'label': '705600.b.58800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205444
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 27914523689120, 28487064012000], 'label': '705600.b.58800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205445
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28487064012000, 15427457269257, 19872390492524], 'label': '705600.b.58800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205446
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [18991376008000, 28487064012000, 12316899939181], 'label': '705600.b.58800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205447
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28487064012000, 609256187506, 9744844165481], 'label': '705600.b.58800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205448
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [9461220244446, 28487064012000, 9012401758599], 'label': '705600.b.58800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205449
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [28487064012000, 19872390492524, 27092680793856], 'label': '705600.b.58800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205450
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [18991376008000, 27283849408998, 28487064012000, 12679168623274, 25132027038722, 32679772773323], 'label': '705600.b.400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205451
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [20665104259186, 28487064012000, 16296966688433], 'label': '705600.b.58800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205452
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [17834673640682, 20665104259186, 28487064012000], 'label': '705600.b.58800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205453
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [28487064012000, 16819820221426, 19473426096645], 'label': '705600.b.58800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205454
    {'ambient': '705600.b', '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': 4900, 'diagramx': None, 'generators': [27943591873093, 28487064012000, 10178717877417], 'label': '705600.b.58800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205455
    {'ambient': '705600.b', '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': 9800, 'diagramx': None, 'generators': [28487064012000, 10671828384393, 16296966688433], 'label': '705600.b.58800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205456
    {'ambient': '705600.b', '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': 9800, 'diagramx': None, 'generators': [17834673640682, 28487064012000, 10671828384393], 'label': '705600.b.58800._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58800.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58800._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205457
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '70560.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': 1176, 'diagramx': None, 'generators': [24638218813738, 28487064012000], 'label': '705600.b.70560.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70560.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205458
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '78400.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': 1225, 'diagramx': None, 'generators': [18991376008000, 4757571053365], 'label': '705600.b.78400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '78400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '78400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205459
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [28487064012000, 24812774462775, 2530241927409], 'label': '705600.b.88200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205460
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [911319656478, 28487064012000, 12066001078941], 'label': '705600.b.88200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205461
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [5429456864280, 18991376008000, 17768268892711, 7271550544776, 28487064012000, 13244071824575], 'label': '705600.b.400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205462
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [28487064012000, 4207115704631, 25879854463370], 'label': '705600.b.88200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205463
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [5285023706556, 28487064012000, 4207115704631], 'label': '705600.b.88200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205464
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [25188077676113, 28487064012000, 27893064416954], 'label': '705600.b.88200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205465
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [21319678956922, 28487064012000, 32135891634757], 'label': '705600.b.88200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205466
    {'ambient': '705600.b', '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': 3675, 'diagramx': None, 'generators': [11944975938950, 28487064012000, 5817547172905], 'label': '705600.b.88200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205467
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [16583699805140], 'label': '705600.b.100800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205468
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [23464879688318], 'label': '705600.b.100800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205469
    {'ambient': '705600.b', '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': [18991376008000, 28487064012000], 'label': '705600.b.117600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '117600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '117600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205470
    {'ambient': '705600.b', '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': 350, 'diagramx': None, 'generators': [18991376008000, 2139507073270], 'label': '705600.b.117600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '117600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '117600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205471
    {'ambient': '705600.b', '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': 1225, 'diagramx': None, 'generators': [3502258346621, 28487064012000], 'label': '705600.b.117600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '117600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '117600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205472
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [25663192658077, 18991376008000, 17768268892711, 7271550544776, 28487064012000, 13244071824575], 'label': '705600.b.400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205473
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [2256949300499, 28487064012000], 'label': '705600.b.117600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '117600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '117600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205474
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [23357056508944, 4345290103006], 'label': '705600.b.117600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '117600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '117600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205475
    {'ambient': '705600.b', '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': 9800, 'diagramx': None, 'generators': [1774897095740, 3782645836606], 'label': '705600.b.117600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '117600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '117600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205476
    {'ambient': '705600.b', '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': 19600, 'diagramx': None, 'generators': [3782645836606, 2869552597875], 'label': '705600.b.117600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '117600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '117600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205477
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '141120.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': 1176, 'diagramx': None, 'generators': [11145012603734], 'label': '705600.b.141120.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141120.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141120.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205483
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '450.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': 50, 'diagramx': None, 'generators': [1244534078300, 15183340856887, 12325572705666, 28487064012000, 3094771022626, 27325274552476, 7440720663515], 'label': '705600.b.450.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '450.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '450.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205484
    {'ambient': '705600.b', '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': 2450, 'diagramx': None, 'generators': [17949907687728], 'label': '705600.b.235200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '235200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '235200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205485
    {'ambient': '705600.b', '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': [28487064012000], 'label': '705600.b.352800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '352800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205486
    {'ambient': '705600.b', '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': 350, 'diagramx': None, 'generators': [28201216301613], 'label': '705600.b.352800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '352800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205487
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '705600.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': '705600.b.705600.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '705600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '705600.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205488
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '6.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': [17861733525542, 16172184563170, 28487064012000], 'label': '705600.b.6.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205489
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [23165267344482, 28487064012000, 11896861043724, 30239728237839], 'label': '705600.b.525._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205490
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [28487064012000, 26026830813026, 32336581837561, 23653264612540], 'label': '705600.b.525._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205491
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [18991376008000, 25552373098640, 28487064012000, 1007122885149, 22408076556928, 30800507539082], 'label': '705600.b.600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205492
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [28487064012000, 1007122885149, 30800507539082, 13627255084607, 5479899911687, 17094402430825], 'label': '705600.b.600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205493
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [21778643383419, 28487064012000, 1007122885149, 30800507539082, 13627255084607, 17094402430825], 'label': '705600.b.600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205494
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [28487064012000, 1007122885149, 10945675924060, 30800507539082, 13627255084607, 17094402430825], 'label': '705600.b.600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205495
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [22221229274494, 5147531740784, 28487064012000, 32984861857530, 28489609499539, 9643958249733], 'label': '705600.b.600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205496
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [22221229274494, 5147531740784, 28487064012000, 16542005403393, 28489609499539, 9643958249733], 'label': '705600.b.600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205497
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [22221229274494, 5147531740784, 28487064012000, 32984861857530, 9643958249733, 9132890727176], 'label': '705600.b.600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205498
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [22221229274494, 5147531740784, 28487064012000, 16542005403393, 9643958249733, 9132890727176], 'label': '705600.b.600._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205499
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '50.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': 50, 'diagramx': None, 'generators': [30560312752079, 18991376008000, 2160138358409, 904622303718, 10659762386649, 28487064012000, 18749748720604, 22286325608696, 21450269397668], 'label': '705600.b.50.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205500
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [22221229274494, 5147531740784, 28487064012000, 28489609499539, 9643958249733, 27310684792619], 'label': '705600.b.600._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205501
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [18991376008000, 5147531740784, 28487064012000, 14245793472137, 9643958249733, 11456669886255], 'label': '705600.b.600._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205502
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [18991376008000, 5147531740784, 28487064012000, 9643958249733, 11456669886255, 9132890727176], 'label': '705600.b.600._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205503
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [22221229274494, 5147531740784, 28487064012000, 9643958249733, 27310684792619, 9132890727176], 'label': '705600.b.600._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205504
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 21981550261590, 28487064012000, 31061415944062], 'label': '705600.b.700._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205505
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [18991376008000, 17653255230631, 28487064012000, 31964097019142], 'label': '705600.b.700._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205506
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [18991376008000, 32425203619058, 14830953750465, 28487064012000, 3641522661101], 'label': '705600.b.800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205507
    {'ambient': '705600.b', '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': 400, 'diagramx': None, 'generators': [18991376008000, 4220473187592, 20250657242274, 7451491059818, 16590920092845], 'label': '705600.b.800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205508
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [14714437492741, 19628112850265, 1478850162214, 28487064012000, 14741852430124, 23186464641544], 'label': '705600.b.900._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '900.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '900._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205509
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [28355784487093, 28487064012000, 8958711264614, 6309397738680, 20516870805205, 3672194864943], 'label': '705600.b.900._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '900.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '900._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205510
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [11823874593918, 18991376008000, 8634289459893, 14250677385600, 28487064012000, 18990367588686, 28488037861366, 18905743303568], 'label': '705600.b.100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205511
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [28355784487093, 28487064012000, 8958711264614, 20516870805205, 14005309456745, 3672194864943], 'label': '705600.b.900._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '900.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '900._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205512
    {'ambient': '705600.b', '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': 980, 'diagramx': None, 'generators': [18171689058832, 18991376008000, 28487064012000, 31069444211198], 'label': '705600.b.980._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '980.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '980._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205513
    {'ambient': '705600.b', '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': 980, 'diagramx': None, 'generators': [20161683303668, 18991376008000, 28487064012000, 33108901624020], 'label': '705600.b.980._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '980.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '980._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205514
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [13699899341437, 18797612825512, 28487064012000, 7424211969355], 'label': '705600.b.1050._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1050.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1050._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205515
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [23516856310283, 28487064012000, 3847905729738, 30120307847449], 'label': '705600.b.1050._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1050.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1050._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205516
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [28487064012000, 13457721427199, 16174603829864], 'label': '705600.b.1050._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1050.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1050._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205517
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [28487064012000, 22025366682367, 11336371278860], 'label': '705600.b.1050._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1050.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1050._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205518
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [28487064012000, 31059393810600, 26847190480041], 'label': '705600.b.1050._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1050.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1050._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205519
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [4368377475154, 28487064012000, 15713328494048], 'label': '705600.b.1050._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1050.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1050._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205520
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '1176.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': 1176, 'diagramx': None, 'generators': [18991376008000, 30049125260904, 18247669133440, 28487064012000, 14616813464847, 7090639573036], 'label': '705600.b.1176.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1176.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1176.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205521
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [28487064012000, 20570476558790, 19817264290359, 18991376008000, 8089520440099, 30728316062579, 24645698310369, 8292675908558], 'label': '705600.b.100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205522
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [18991376008000, 9198180578100, 28487064012000, 1362946383857, 19458938950391], 'label': '705600.b.1200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205523
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [28487064012000, 12467382354779, 21562737840082, 1362946383857, 9778058512395], 'label': '705600.b.1200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205524
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [6241745084758, 28487064012000, 21562737840082, 1362946383857, 9778058512395], 'label': '705600.b.1200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205525
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [20076472902007, 28487064012000, 21562737840082, 1362946383857, 9778058512395], 'label': '705600.b.1200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205526
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [7700977006001, 11141644637158, 28487064012000, 24463450581388, 30647322558285], 'label': '705600.b.1200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205527
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [7700977006001, 11141644637158, 28487064012000, 24463450581388, 18043497332339], 'label': '705600.b.1200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205528
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [9702207932818, 11141644637158, 28487064012000, 24463450581388, 30647322558285], 'label': '705600.b.1200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205529
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [9702207932818, 11141644637158, 28487064012000, 24463450581388, 18043497332339], 'label': '705600.b.1200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205530
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [28061431228913, 7700977006001, 11141644637158, 28487064012000, 24463450581388], 'label': '705600.b.1200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205531
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [18991376008000, 11141644637158, 28487064012000, 24463450581388, 20515542481654], 'label': '705600.b.1200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205532
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [18991376008000, 8634289459893, 14250677385600, 28487064012000, 18990367588686, 28488037861366, 14152652644919, 18905743303568], 'label': '705600.b.100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205533
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [18991376008000, 4852112865580, 11141644637158, 28487064012000, 24463450581388], 'label': '705600.b.1200._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205534
    {'ambient': '705600.b', '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': 200, 'diagramx': None, 'generators': [28061431228913, 9702207932818, 11141644637158, 28487064012000, 24463450581388], 'label': '705600.b.1200._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1200.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1200._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205535
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '1225.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': 1225, 'diagramx': None, 'generators': [18991376008000, 30050133209909, 26749866703082, 2297670862018, 22949332513291, 28487064012000, 27211931802076, 8852737247878], 'label': '705600.b.1225.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1225.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1225.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205536
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 29921838841735, 21738088311596, 28487064012000, 13685977028034, 12695863336886], 'label': '705600.b.1400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205537
    {'ambient': '705600.b', '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': 1400, 'diagramx': None, 'generators': [18991376008000, 29921838841735, 25984551841435, 28487064012000, 13685977028034, 19517378317391], 'label': '705600.b.1400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205538
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '1600.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': 50, 'diagramx': None, 'generators': [18991376008000, 32672224380436, 16188085867350, 31124010221257], 'label': '705600.b.1600.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1600.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205539
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [29179128857052, 28487064012000, 5633699254676, 21648940791215, 31905862426045], 'label': '705600.b.1800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205540
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [16102534187749, 30298159453302, 28487064012000, 373734048961, 15060177394189], 'label': '705600.b.1800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205541
    {'ambient': '705600.b', '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': 100, 'diagramx': None, 'generators': [16102534187749, 30298159453302, 28487064012000, 9012401758599, 15060177394189], 'label': '705600.b.1800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205542
    {'ambient': '705600.b', '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': 980, 'diagramx': None, 'generators': [18991376008000, 5826118682439, 28487064012000, 28619429558043], 'label': '705600.b.1960._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1960.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1960._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205543
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [8592842727815, 25925749224697, 13404733483669, 28487064012000, 23172422140600, 29497332681891, 18545885400557, 5778372147295], 'label': '705600.b.150._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205544
    {'ambient': '705600.b', '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': 980, 'diagramx': None, 'generators': [26508935584007, 18991376008000, 28487064012000, 10599022425704], 'label': '705600.b.1960._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1960.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1960._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205545
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [15617402602, 28487064012000, 23753182661231], 'label': '705600.b.2100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205546
    {'ambient': '705600.b', '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': 175, 'diagramx': None, 'generators': [8570121224689, 19785018008171, 28487064012000], 'label': '705600.b.2100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205547
    {'ambient': '705600.b', 'aut_centralizer_order': None, 'aut_label': '2352.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': 1176, 'diagramx': None, 'generators': [18991376008000, 26985502233348, 23547089061751, 28487064012000, 25068458801225], 'label': '705600.b.2352.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2352.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2352.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205548
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [18991376008000, 26024335691872, 28487064012000, 30411883632368], 'label': '705600.b.2400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205549
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [26815678358623, 19866093011720, 26024335691872, 28487064012000], 'label': '705600.b.2400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205550
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [26815678358623, 26024335691872, 28487064012000, 12313747904432], 'label': '705600.b.2400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205551
    {'ambient': '705600.b', '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': 50, 'diagramx': None, 'generators': [26815678358623, 6496994809040, 26024335691872, 28487064012000], 'label': '705600.b.2400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205552
    {'ambient': '705600.b', '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': 400, 'diagramx': None, 'generators': [18119389750262, 8645387375864, 28601272703608, 13645372542406], 'label': '705600.b.2400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 68205553
    {'ambient': '705600.b', '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': 400, 'diagramx': None, 'generators': [18119389750262, 8645387375864, 28601272703608, 22430475832869], 'label': '705600.b.2400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2400._.F', 'subgroup_fusion': None, 'weyl_group': None}