Abstract group data - 1568.467

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 84, 'aut_gen_orders': [12, 84, 6, 84, 12, 12, 12, 42], 'aut_gens': [[1, 2, 112], [829, 1266, 1232], [65, 150, 168], [97, 102, 1064], [861, 170, 336], [789, 1562, 1288], [873, 1082, 616], [837, 1250, 560], [829, 730, 1288]], 'aut_group': None, 'aut_hash': 2407458465370059802, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 225792, 'aut_permdeg': 112, 'aut_perms': [17597665718385016510577364134169297259768260148176139670050666485100142207637993682507669560501538898019081613080955057566723451239240470240984644103240317030129035682979733183778325, 60009958017442617373573652115544458616331072397658259124657660751061495422566397811446347208039049040497076515771894718304421142121182546009962720176500023967719163078731874808437775, 17702214433885545010291263835965412769263751515726302012914830364283417190580284738483592158311460861185931426809831553742059201161676786180961532436947500512164076807859625691741464, 103604544358195217248010561273247896667942340683686780905201074420819426211973747148377634305030749967213875540584556184250325336904477493239935207187627201487215339798772522682813017, 180526190212458455933022707965807426234389229476435184127107429796146596259033672151720012286818015418901285867466473834710573233712632226734612415811148131552929894551055837190827061, 66572086983844087133908738452183863294615790140641063230455252804502036505767429603628755378810876122097735308433505073034134837730007775583551132881910035258849170193452029698309354, 41932707772607375324889135603584757560988829643572297904080379788196078792895654118277409033413015482647296511170538320563241141816453404187728758337240318783000637293363515214558953, 1016442406647994133959689390365309734897121530237020438667248375733768349399560359258614275799681732729830171892330244252505145394032237383328305550183128248217370103340782140478333], 'aut_phi_ratio': 336.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [4, 2, 1, 2], [4, 28, 2, 1], [4, 196, 2, 1], [7, 2, 3, 2], [7, 4, 9, 1], [8, 14, 4, 1], [14, 2, 3, 2], [14, 2, 6, 2], [14, 4, 9, 1], [14, 4, 18, 1], [28, 2, 6, 2], [28, 4, 3, 2], [28, 4, 18, 2], [28, 28, 12, 1], [56, 14, 24, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_{14}^2.C_6^2.C_2^5', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.27', 'autcent_hash': 27, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\wr C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': None, 'autcentquo_hash': 8777691769077315760, 'autcentquo_nilpotent': False, 'autcentquo_order': 7056, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_7^2.C_6^2.C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [4, 2, 2], [4, 28, 2], [4, 196, 2], [7, 2, 6], [7, 4, 9], [8, 14, 4], [14, 2, 18], [14, 4, 27], [28, 2, 12], [28, 4, 42], [28, 28, 12], [56, 14, 24]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '392.21', 'commutator_count': 1, 'commutator_label': '196.7', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '7.1', '7.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 467, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['784.58', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [4, 2, 1, 2], [4, 28, 1, 2], [4, 196, 1, 2], [7, 2, 3, 2], [7, 4, 3, 3], [8, 14, 2, 2], [14, 2, 3, 6], [14, 4, 3, 9], [28, 2, 6, 2], [28, 4, 3, 2], [28, 4, 6, 6], [28, 28, 6, 2], [56, 14, 12, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 5376, 'exponent': 56, 'exponents_of_order': [5, 2], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 7], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.1', 'frattini_quotient': '392.41', 'hash': 467, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 28, 'inner_gen_orders': [2, 28, 7], 'inner_gens': [[1, 110, 112], [5, 2, 1456], [1, 226, 112]], 'inner_hash': 21, 'inner_nilpotent': False, 'inner_order': 392, 'inner_split': True, 'inner_tex': 'C_7:D_{28}', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 78], [4, 78]], 'label': '1568.467', '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': True, 'metacyclic': False, 'monomial': True, 'name': 'C28.D28', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 25, 'number_characteristic_subgroups': 30, 'number_conjugacy_classes': 164, 'number_divisions': 46, 'number_normal_subgroups': 52, 'number_subgroup_autclasses': 96, 'number_subgroup_classes': 177, 'number_subgroups': 1790, 'old_label': None, 'order': 1568, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 3], [4, 452], [7, 48], [8, 56], [14, 144], [28, 528], [56, 336]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 6, 12], 'outer_gen_pows': [28, 28, 0, 0, 0], 'outer_gens': [[85, 2, 112], [29, 26, 1456], [841, 82, 1456], [1, 818, 336], [841, 794, 392]], 'outer_group': '576.8646', 'outer_hash': 8646, 'outer_nilpotent': True, 'outer_order': 576, 'outer_permdeg': 16, 'outer_perms': [39916800, 2789706124800, 1313902195200, 85683, 1088787], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4:C_6^2', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 32, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [4, 2], [6, 8], [12, 18], [24, 8]], 'representations': {'PC': {'code': 16890166761833374707847279479001571798002000697, 'gens': [1, 2, 6], 'pres': [7, -2, -2, -2, -2, -7, -2, -7, 392, 1541, 36, 2270, 58, 2915, 80, 3364, 30588, 124, 32941]}, 'Perm': {'d': 32, 'gens': [9074449502511369863879931455865600, 17570794442541322052837916205061166, 1, 26066496437554839501028905086976000, 34564585590324741087162806427648000, 1482992582400, 50646]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{28}.D_{28}', 'transitive_degree': 224, '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: 120801085
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 467, 'group_order': 1568, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 120801161
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 467, 'group_order': 1568, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 784, 'size': 1}
  • id: 120801172
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 467, 'group_order': 1568, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 840, 'size': 1}
  • id: 120801183
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 467, 'group_order': 1568, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 56, 'size': 1}
  • id: 120801194
    {'aut_label': '4A', 'centralizer': '2.c1.a1', 'counter': 5, 'group_counter': 467, 'group_order': 1568, 'label': '4A', 'order': 4, 'powers': [4, 5, 5], 'representative': 812, 'size': 2}
  • id: 120801205
    {'aut_label': '4B', 'centralizer': '2.c1.a1', 'counter': 6, 'group_counter': 467, 'group_order': 1568, 'label': '4B', 'order': 4, 'powers': [4, 6, 6], 'representative': 28, 'size': 2}
  • id: 120801216
    {'aut_label': '4C', 'centralizer': '28.f1.a1', 'counter': 7, 'group_counter': 467, 'group_order': 1568, 'label': '4C', 'order': 4, 'powers': [4, 7, 7], 'representative': 57, 'size': 28}
  • id: 120801227
    {'aut_label': '4C', 'centralizer': '28.f1.a1', 'counter': 8, 'group_counter': 467, 'group_order': 1568, 'label': '4D', 'order': 4, 'powers': [4, 8, 8], 'representative': 841, 'size': 28}
  • id: 120801238
    {'aut_label': '4E', 'centralizer': '196.c1.a1', 'counter': 9, 'group_counter': 467, 'group_order': 1568, 'label': '4E', 'order': 4, 'powers': [4, 9, 9], 'representative': 563, 'size': 196}
  • id: 120801086
    {'aut_label': '4E', 'centralizer': '196.c1.a1', 'counter': 10, 'group_counter': 467, 'group_order': 1568, 'label': '4F', 'order': 4, 'powers': [4, 10, 10], 'representative': 971, 'size': 196}
  • id: 120801097
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 11, 'group_counter': 467, 'group_order': 1568, 'label': '7A1', 'order': 7, 'powers': [12, 13, 1], 'representative': 224, 'size': 2}
  • id: 120801108
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 467, 'group_order': 1568, 'label': '7A2', 'order': 7, 'powers': [13, 11, 1], 'representative': 448, 'size': 2}
  • id: 120801119
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 467, 'group_order': 1568, 'label': '7A3', 'order': 7, 'powers': [11, 12, 1], 'representative': 672, 'size': 2}
  • id: 120801130
    {'aut_label': '7B1', 'centralizer': '2.c1.a1', 'counter': 14, 'group_counter': 467, 'group_order': 1568, 'label': '7B1', 'order': 7, 'powers': [15, 16, 1], 'representative': 32, 'size': 2}
  • id: 120801141
    {'aut_label': '7B1', 'centralizer': '2.c1.a1', 'counter': 15, 'group_counter': 467, 'group_order': 1568, 'label': '7B2', 'order': 7, 'powers': [16, 14, 1], 'representative': 64, 'size': 2}
  • id: 120801152
    {'aut_label': '7B1', 'centralizer': '2.c1.a1', 'counter': 16, 'group_counter': 467, 'group_order': 1568, 'label': '7B3', 'order': 7, 'powers': [14, 15, 1], 'representative': 96, 'size': 2}
  • id: 120801158
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 17, 'group_counter': 467, 'group_order': 1568, 'label': '7C1', 'order': 7, 'powers': [18, 19, 1], 'representative': 256, 'size': 4}
  • id: 120801159
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 18, 'group_counter': 467, 'group_order': 1568, 'label': '7C2', 'order': 7, 'powers': [19, 17, 1], 'representative': 512, 'size': 4}
  • id: 120801160
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 19, 'group_counter': 467, 'group_order': 1568, 'label': '7C3', 'order': 7, 'powers': [17, 18, 1], 'representative': 768, 'size': 4}
  • id: 120801162
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 20, 'group_counter': 467, 'group_order': 1568, 'label': '7D1', 'order': 7, 'powers': [21, 22, 1], 'representative': 240, 'size': 4}
  • id: 120801163
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 21, 'group_counter': 467, 'group_order': 1568, 'label': '7D2', 'order': 7, 'powers': [22, 20, 1], 'representative': 480, 'size': 4}
  • id: 120801164
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 22, 'group_counter': 467, 'group_order': 1568, 'label': '7D3', 'order': 7, 'powers': [20, 21, 1], 'representative': 720, 'size': 4}
  • id: 120801165
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 23, 'group_counter': 467, 'group_order': 1568, 'label': '7E1', 'order': 7, 'powers': [24, 25, 1], 'representative': 288, 'size': 4}
  • id: 120801166
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 24, 'group_counter': 467, 'group_order': 1568, 'label': '7E2', 'order': 7, 'powers': [25, 23, 1], 'representative': 464, 'size': 4}
  • id: 120801167
    {'aut_label': '7C1', 'centralizer': '4.a1.a1', 'counter': 25, 'group_counter': 467, 'group_order': 1568, 'label': '7E3', 'order': 7, 'powers': [23, 24, 1], 'representative': 752, 'size': 4}
  • id: 120801168
    {'aut_label': '8A1', 'centralizer': '14.g1.a1', 'counter': 26, 'group_counter': 467, 'group_order': 1568, 'label': '8A1', 'order': 8, 'powers': [6, 27, 26], 'representative': 14, 'size': 14}
  • id: 120801169
    {'aut_label': '8A1', 'centralizer': '14.g1.a1', 'counter': 27, 'group_counter': 467, 'group_order': 1568, 'label': '8A3', 'order': 8, 'powers': [6, 26, 27], 'representative': 42, 'size': 14}
  • id: 120801170
    {'aut_label': '8A1', 'centralizer': '14.g1.a1', 'counter': 28, 'group_counter': 467, 'group_order': 1568, 'label': '8B1', 'order': 8, 'powers': [6, 29, 28], 'representative': 126, 'size': 14}
  • id: 120801171
    {'aut_label': '8A1', 'centralizer': '14.g1.a1', 'counter': 29, 'group_counter': 467, 'group_order': 1568, 'label': '8B3', 'order': 8, 'powers': [6, 28, 29], 'representative': 154, 'size': 14}
  • id: 120801173
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 30, 'group_counter': 467, 'group_order': 1568, 'label': '14A1', 'order': 14, 'powers': [11, 31, 2], 'representative': 112, 'size': 2}
  • id: 120801174
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 31, 'group_counter': 467, 'group_order': 1568, 'label': '14A3', 'order': 14, 'powers': [13, 32, 2], 'representative': 336, 'size': 2}
  • id: 120801175
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 32, 'group_counter': 467, 'group_order': 1568, 'label': '14A5', 'order': 14, 'powers': [12, 30, 2], 'representative': 560, 'size': 2}
  • id: 120801176
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 33, 'group_counter': 467, 'group_order': 1568, 'label': '14B1', 'order': 14, 'powers': [14, 34, 2], 'representative': 800, 'size': 2}
  • id: 120801177
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 34, 'group_counter': 467, 'group_order': 1568, 'label': '14B3', 'order': 14, 'powers': [16, 35, 2], 'representative': 832, 'size': 2}
  • id: 120801178
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 35, 'group_counter': 467, 'group_order': 1568, 'label': '14B5', 'order': 14, 'powers': [15, 33, 2], 'representative': 816, 'size': 2}
  • id: 120801179
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 36, 'group_counter': 467, 'group_order': 1568, 'label': '14C1', 'order': 14, 'powers': [16, 37, 3], 'representative': 792, 'size': 2}
  • id: 120801180
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 37, 'group_counter': 467, 'group_order': 1568, 'label': '14C3', 'order': 14, 'powers': [15, 38, 3], 'representative': 808, 'size': 2}
  • id: 120801181
    {'aut_label': '14B1', 'centralizer': '2.c1.a1', 'counter': 38, 'group_counter': 467, 'group_order': 1568, 'label': '14C5', 'order': 14, 'powers': [14, 36, 3], 'representative': 824, 'size': 2}
  • id: 120801182
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 467, 'group_order': 1568, 'label': '14D1', 'order': 14, 'powers': [11, 40, 3], 'representative': 168, 'size': 2}
  • id: 120801184
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 467, 'group_order': 1568, 'label': '14D3', 'order': 14, 'powers': [13, 41, 3], 'representative': 392, 'size': 2}
  • id: 120801185
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 467, 'group_order': 1568, 'label': '14D5', 'order': 14, 'powers': [12, 39, 3], 'representative': 616, 'size': 2}
  • id: 120801186
    {'aut_label': '14E1', 'centralizer': '2.c1.a1', 'counter': 42, 'group_counter': 467, 'group_order': 1568, 'label': '14E1', 'order': 14, 'powers': [16, 43, 4], 'representative': 8, 'size': 2}
  • id: 120801187
    {'aut_label': '14E1', 'centralizer': '2.c1.a1', 'counter': 43, 'group_counter': 467, 'group_order': 1568, 'label': '14E3', 'order': 14, 'powers': [15, 44, 4], 'representative': 24, 'size': 2}
  • id: 120801188
    {'aut_label': '14E1', 'centralizer': '2.c1.a1', 'counter': 44, 'group_counter': 467, 'group_order': 1568, 'label': '14E5', 'order': 14, 'powers': [14, 42, 4], 'representative': 40, 'size': 2}
  • id: 120801189
    {'aut_label': '14F1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 467, 'group_order': 1568, 'label': '14F1', 'order': 14, 'powers': [13, 46, 4], 'representative': 504, 'size': 2}
  • id: 120801190
    {'aut_label': '14F1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 467, 'group_order': 1568, 'label': '14F3', 'order': 14, 'powers': [12, 47, 4], 'representative': 1400, 'size': 2}
  • id: 120801191
    {'aut_label': '14F1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 467, 'group_order': 1568, 'label': '14F5', 'order': 14, 'powers': [11, 45, 4], 'representative': 728, 'size': 2}
  • id: 120801192
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 48, 'group_counter': 467, 'group_order': 1568, 'label': '14G1', 'order': 14, 'powers': [17, 49, 2], 'representative': 128, 'size': 4}
  • id: 120801193
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 49, 'group_counter': 467, 'group_order': 1568, 'label': '14G3', 'order': 14, 'powers': [19, 50, 2], 'representative': 384, 'size': 4}
  • id: 120801195
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 50, 'group_counter': 467, 'group_order': 1568, 'label': '14G5', 'order': 14, 'powers': [18, 48, 2], 'representative': 592, 'size': 4}
  • id: 120801196
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 51, 'group_counter': 467, 'group_order': 1568, 'label': '14H1', 'order': 14, 'powers': [20, 52, 3], 'representative': 120, 'size': 4}
  • id: 120801197
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 52, 'group_counter': 467, 'group_order': 1568, 'label': '14H3', 'order': 14, 'powers': [22, 53, 3], 'representative': 360, 'size': 4}
  • id: 120801198
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 53, 'group_counter': 467, 'group_order': 1568, 'label': '14H5', 'order': 14, 'powers': [21, 51, 3], 'representative': 600, 'size': 4}
  • id: 120801199
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 54, 'group_counter': 467, 'group_order': 1568, 'label': '14I1', 'order': 14, 'powers': [23, 55, 2], 'representative': 144, 'size': 4}
  • id: 120801200
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 55, 'group_counter': 467, 'group_order': 1568, 'label': '14I3', 'order': 14, 'powers': [25, 56, 2], 'representative': 352, 'size': 4}
  • id: 120801201
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 56, 'group_counter': 467, 'group_order': 1568, 'label': '14I5', 'order': 14, 'powers': [24, 54, 2], 'representative': 608, 'size': 4}
  • id: 120801202
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 57, 'group_counter': 467, 'group_order': 1568, 'label': '14J1', 'order': 14, 'powers': [20, 58, 2], 'representative': 160, 'size': 4}
  • id: 120801203
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 58, 'group_counter': 467, 'group_order': 1568, 'label': '14J3', 'order': 14, 'powers': [22, 59, 2], 'representative': 368, 'size': 4}
  • id: 120801204
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 59, 'group_counter': 467, 'group_order': 1568, 'label': '14J5', 'order': 14, 'powers': [21, 57, 2], 'representative': 576, 'size': 4}
  • id: 120801206
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 60, 'group_counter': 467, 'group_order': 1568, 'label': '14K1', 'order': 14, 'powers': [19, 61, 3], 'representative': 344, 'size': 4}
  • id: 120801207
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 61, 'group_counter': 467, 'group_order': 1568, 'label': '14K3', 'order': 14, 'powers': [18, 62, 3], 'representative': 584, 'size': 4}
  • id: 120801208
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 62, 'group_counter': 467, 'group_order': 1568, 'label': '14K5', 'order': 14, 'powers': [17, 60, 3], 'representative': 152, 'size': 4}
  • id: 120801209
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 63, 'group_counter': 467, 'group_order': 1568, 'label': '14L1', 'order': 14, 'powers': [23, 64, 3], 'representative': 136, 'size': 4}
  • id: 120801210
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 64, 'group_counter': 467, 'group_order': 1568, 'label': '14L3', 'order': 14, 'powers': [25, 65, 3], 'representative': 376, 'size': 4}
  • id: 120801211
    {'aut_label': '14G1', 'centralizer': '4.a1.a1', 'counter': 65, 'group_counter': 467, 'group_order': 1568, 'label': '14L5', 'order': 14, 'powers': [24, 63, 3], 'representative': 568, 'size': 4}
  • id: 120801212
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 66, 'group_counter': 467, 'group_order': 1568, 'label': '14M1', 'order': 14, 'powers': [19, 67, 4], 'representative': 456, 'size': 4}
  • id: 120801213
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 67, 'group_counter': 467, 'group_order': 1568, 'label': '14M3', 'order': 14, 'powers': [18, 68, 4], 'representative': 1368, 'size': 4}
  • id: 120801214
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 68, 'group_counter': 467, 'group_order': 1568, 'label': '14M5', 'order': 14, 'powers': [17, 66, 4], 'representative': 712, 'size': 4}
  • id: 120801215
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 69, 'group_counter': 467, 'group_order': 1568, 'label': '14N1', 'order': 14, 'powers': [24, 70, 4], 'representative': 232, 'size': 4}
  • id: 120801217
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 70, 'group_counter': 467, 'group_order': 1568, 'label': '14N3', 'order': 14, 'powers': [23, 71, 4], 'representative': 696, 'size': 4}
  • id: 120801218
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 71, 'group_counter': 467, 'group_order': 1568, 'label': '14N5', 'order': 14, 'powers': [25, 69, 4], 'representative': 1160, 'size': 4}
  • id: 120801219
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 72, 'group_counter': 467, 'group_order': 1568, 'label': '14O1', 'order': 14, 'powers': [20, 73, 4], 'representative': 904, 'size': 4}
  • id: 120801220
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 73, 'group_counter': 467, 'group_order': 1568, 'label': '14O3', 'order': 14, 'powers': [22, 74, 4], 'representative': 1144, 'size': 4}
  • id: 120801221
    {'aut_label': '14M1', 'centralizer': '4.a1.a1', 'counter': 74, 'group_counter': 467, 'group_order': 1568, 'label': '14O5', 'order': 14, 'powers': [21, 72, 4], 'representative': 1384, 'size': 4}
  • id: 120801222
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 75, 'group_counter': 467, 'group_order': 1568, 'label': '28A1', 'order': 28, 'powers': [42, 76, 5], 'representative': 788, 'size': 2}
  • id: 120801223
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 76, 'group_counter': 467, 'group_order': 1568, 'label': '28A3', 'order': 28, 'powers': [43, 78, 5], 'representative': 796, 'size': 2}
  • id: 120801224
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 77, 'group_counter': 467, 'group_order': 1568, 'label': '28A5', 'order': 28, 'powers': [44, 80, 5], 'representative': 804, 'size': 2}
  • id: 120801225
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 78, 'group_counter': 467, 'group_order': 1568, 'label': '28A9', 'order': 28, 'powers': [44, 75, 5], 'representative': 820, 'size': 2}
  • id: 120801226
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 79, 'group_counter': 467, 'group_order': 1568, 'label': '28A11', 'order': 28, 'powers': [43, 77, 5], 'representative': 852, 'size': 2}
  • id: 120801228
    {'aut_label': '28A1', 'centralizer': '2.c1.a1', 'counter': 80, 'group_counter': 467, 'group_order': 1568, 'label': '28A13', 'order': 28, 'powers': [42, 79, 5], 'representative': 836, 'size': 2}
  • id: 120801229
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 81, 'group_counter': 467, 'group_order': 1568, 'label': '28B1', 'order': 28, 'powers': [42, 82, 6], 'representative': 4, 'size': 2}
  • id: 120801230
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 82, 'group_counter': 467, 'group_order': 1568, 'label': '28B3', 'order': 28, 'powers': [43, 84, 6], 'representative': 12, 'size': 2}
  • id: 120801231
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 83, 'group_counter': 467, 'group_order': 1568, 'label': '28B5', 'order': 28, 'powers': [44, 86, 6], 'representative': 20, 'size': 2}
  • id: 120801232
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 84, 'group_counter': 467, 'group_order': 1568, 'label': '28B9', 'order': 28, 'powers': [44, 81, 6], 'representative': 36, 'size': 2}
  • id: 120801233
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 85, 'group_counter': 467, 'group_order': 1568, 'label': '28B11', 'order': 28, 'powers': [43, 83, 6], 'representative': 44, 'size': 2}
  • id: 120801234
    {'aut_label': '28B1', 'centralizer': '2.c1.a1', 'counter': 86, 'group_counter': 467, 'group_order': 1568, 'label': '28B13', 'order': 28, 'powers': [42, 85, 6], 'representative': 52, 'size': 2}
  • id: 120801235
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 87, 'group_counter': 467, 'group_order': 1568, 'label': '28C1', 'order': 28, 'powers': [45, 88, 6], 'representative': 308, 'size': 4}
  • id: 120801236
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 88, 'group_counter': 467, 'group_order': 1568, 'label': '28C3', 'order': 28, 'powers': [46, 89, 6], 'representative': 756, 'size': 4}
  • id: 120801237
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 89, 'group_counter': 467, 'group_order': 1568, 'label': '28C5', 'order': 28, 'powers': [47, 87, 6], 'representative': 532, 'size': 4}
  • id: 120801239
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 90, 'group_counter': 467, 'group_order': 1568, 'label': '28D1', 'order': 28, 'powers': [46, 91, 5], 'representative': 196, 'size': 4}
  • id: 120801240
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 91, 'group_counter': 467, 'group_order': 1568, 'label': '28D3', 'order': 28, 'powers': [47, 92, 5], 'representative': 420, 'size': 4}
  • id: 120801241
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 92, 'group_counter': 467, 'group_order': 1568, 'label': '28D5', 'order': 28, 'powers': [45, 90, 5], 'representative': 644, 'size': 4}
  • id: 120801242
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 93, 'group_counter': 467, 'group_order': 1568, 'label': '28E1', 'order': 28, 'powers': [66, 94, 6], 'representative': 228, 'size': 4}
  • id: 120801243
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 94, 'group_counter': 467, 'group_order': 1568, 'label': '28E3', 'order': 28, 'powers': [67, 96, 6], 'representative': 684, 'size': 4}
  • id: 120801244
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 95, 'group_counter': 467, 'group_order': 1568, 'label': '28E5', 'order': 28, 'powers': [68, 98, 6], 'representative': 468, 'size': 4}
  • id: 120801245
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 96, 'group_counter': 467, 'group_order': 1568, 'label': '28E9', 'order': 28, 'powers': [68, 93, 6], 'representative': 484, 'size': 4}
  • id: 120801246
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 97, 'group_counter': 467, 'group_order': 1568, 'label': '28E11', 'order': 28, 'powers': [67, 95, 6], 'representative': 740, 'size': 4}
  • id: 120801247
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 98, 'group_counter': 467, 'group_order': 1568, 'label': '28E13', 'order': 28, 'powers': [66, 97, 6], 'representative': 276, 'size': 4}
  • id: 120801248
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 99, 'group_counter': 467, 'group_order': 1568, 'label': '28F1', 'order': 28, 'powers': [69, 100, 5], 'representative': 116, 'size': 4}
  • id: 120801087
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 100, 'group_counter': 467, 'group_order': 1568, 'label': '28F3', 'order': 28, 'powers': [70, 102, 5], 'representative': 348, 'size': 4}
  • id: 120801088
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 101, 'group_counter': 467, 'group_order': 1568, 'label': '28F5', 'order': 28, 'powers': [71, 104, 5], 'representative': 580, 'size': 4}
  • id: 120801089
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 102, 'group_counter': 467, 'group_order': 1568, 'label': '28F9', 'order': 28, 'powers': [71, 99, 5], 'representative': 596, 'size': 4}
  • id: 120801090
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 103, 'group_counter': 467, 'group_order': 1568, 'label': '28F11', 'order': 28, 'powers': [70, 101, 5], 'representative': 404, 'size': 4}
  • id: 120801091
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 104, 'group_counter': 467, 'group_order': 1568, 'label': '28F13', 'order': 28, 'powers': [69, 103, 5], 'representative': 164, 'size': 4}
  • id: 120801092
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 105, 'group_counter': 467, 'group_order': 1568, 'label': '28G1', 'order': 28, 'powers': [72, 106, 6], 'representative': 452, 'size': 4}
  • id: 120801093
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 106, 'group_counter': 467, 'group_order': 1568, 'label': '28G3', 'order': 28, 'powers': [73, 108, 6], 'representative': 236, 'size': 4}
  • id: 120801094
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 107, 'group_counter': 467, 'group_order': 1568, 'label': '28G5', 'order': 28, 'powers': [74, 110, 6], 'representative': 692, 'size': 4}
  • id: 120801095
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 108, 'group_counter': 467, 'group_order': 1568, 'label': '28G9', 'order': 28, 'powers': [74, 105, 6], 'representative': 708, 'size': 4}
  • id: 120801096
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 109, 'group_counter': 467, 'group_order': 1568, 'label': '28G11', 'order': 28, 'powers': [73, 107, 6], 'representative': 292, 'size': 4}
  • id: 120801098
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 110, 'group_counter': 467, 'group_order': 1568, 'label': '28G13', 'order': 28, 'powers': [72, 109, 6], 'representative': 500, 'size': 4}
  • id: 120801099
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 111, 'group_counter': 467, 'group_order': 1568, 'label': '28H1', 'order': 28, 'powers': [69, 112, 6], 'representative': 676, 'size': 4}
  • id: 120801100
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 112, 'group_counter': 467, 'group_order': 1568, 'label': '28H3', 'order': 28, 'powers': [70, 114, 6], 'representative': 460, 'size': 4}
  • id: 120801101
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 113, 'group_counter': 467, 'group_order': 1568, 'label': '28H5', 'order': 28, 'powers': [71, 116, 6], 'representative': 244, 'size': 4}
  • id: 120801102
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 114, 'group_counter': 467, 'group_order': 1568, 'label': '28H9', 'order': 28, 'powers': [71, 111, 6], 'representative': 260, 'size': 4}
  • id: 120801103
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 115, 'group_counter': 467, 'group_order': 1568, 'label': '28H11', 'order': 28, 'powers': [70, 113, 6], 'representative': 516, 'size': 4}
  • id: 120801104
    {'aut_label': '28E1', 'centralizer': '4.a1.a1', 'counter': 116, 'group_counter': 467, 'group_order': 1568, 'label': '28H13', 'order': 28, 'powers': [69, 115, 6], 'representative': 724, 'size': 4}
  • id: 120801105
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 117, 'group_counter': 467, 'group_order': 1568, 'label': '28I1', 'order': 28, 'powers': [72, 118, 5], 'representative': 340, 'size': 4}
  • id: 120801106
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 118, 'group_counter': 467, 'group_order': 1568, 'label': '28I3', 'order': 28, 'powers': [73, 120, 5], 'representative': 572, 'size': 4}
  • id: 120801107
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 119, 'group_counter': 467, 'group_order': 1568, 'label': '28I5', 'order': 28, 'powers': [74, 122, 5], 'representative': 132, 'size': 4}
  • id: 120801109
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 120, 'group_counter': 467, 'group_order': 1568, 'label': '28I9', 'order': 28, 'powers': [74, 117, 5], 'representative': 148, 'size': 4}
  • id: 120801110
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 121, 'group_counter': 467, 'group_order': 1568, 'label': '28I11', 'order': 28, 'powers': [73, 119, 5], 'representative': 628, 'size': 4}
  • id: 120801111
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 122, 'group_counter': 467, 'group_order': 1568, 'label': '28I13', 'order': 28, 'powers': [72, 121, 5], 'representative': 388, 'size': 4}
  • id: 120801112
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 123, 'group_counter': 467, 'group_order': 1568, 'label': '28J1', 'order': 28, 'powers': [67, 124, 5], 'representative': 124, 'size': 4}
  • id: 120801113
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 124, 'group_counter': 467, 'group_order': 1568, 'label': '28J3', 'order': 28, 'powers': [68, 126, 5], 'representative': 372, 'size': 4}
  • id: 120801114
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 125, 'group_counter': 467, 'group_order': 1568, 'label': '28J5', 'order': 28, 'powers': [66, 128, 5], 'representative': 612, 'size': 4}
  • id: 120801115
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 126, 'group_counter': 467, 'group_order': 1568, 'label': '28J9', 'order': 28, 'powers': [66, 123, 5], 'representative': 564, 'size': 4}
  • id: 120801116
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 127, 'group_counter': 467, 'group_order': 1568, 'label': '28J11', 'order': 28, 'powers': [68, 125, 5], 'representative': 356, 'size': 4}
  • id: 120801117
    {'aut_label': '28F1', 'centralizer': '4.a1.a1', 'counter': 128, 'group_counter': 467, 'group_order': 1568, 'label': '28J13', 'order': 28, 'powers': [67, 127, 5], 'representative': 180, 'size': 4}
  • id: 120801118
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 129, 'group_counter': 467, 'group_order': 1568, 'label': '28K1', 'order': 28, 'powers': [45, 131, 7], 'representative': 225, 'size': 28}
  • id: 120801120
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 130, 'group_counter': 467, 'group_order': 1568, 'label': '28K-1', 'order': 28, 'powers': [45, 132, 7], 'representative': 1345, 'size': 28}
  • id: 120801121
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 131, 'group_counter': 467, 'group_order': 1568, 'label': '28K3', 'order': 28, 'powers': [46, 134, 7], 'representative': 673, 'size': 28}
  • id: 120801122
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 132, 'group_counter': 467, 'group_order': 1568, 'label': '28K-3', 'order': 28, 'powers': [46, 133, 7], 'representative': 897, 'size': 28}
  • id: 120801123
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 133, 'group_counter': 467, 'group_order': 1568, 'label': '28K5', 'order': 28, 'powers': [47, 129, 7], 'representative': 1121, 'size': 28}
  • id: 120801124
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 134, 'group_counter': 467, 'group_order': 1568, 'label': '28K-5', 'order': 28, 'powers': [47, 130, 7], 'representative': 449, 'size': 28}
  • id: 120801125
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 135, 'group_counter': 467, 'group_order': 1568, 'label': '28L1', 'order': 28, 'powers': [46, 137, 8], 'representative': 113, 'size': 28}
  • id: 120801126
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 136, 'group_counter': 467, 'group_order': 1568, 'label': '28L-1', 'order': 28, 'powers': [46, 138, 8], 'representative': 117, 'size': 28}
  • id: 120801127
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 137, 'group_counter': 467, 'group_order': 1568, 'label': '28L3', 'order': 28, 'powers': [47, 140, 8], 'representative': 337, 'size': 28}
  • id: 120801128
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 138, 'group_counter': 467, 'group_order': 1568, 'label': '28L-3', 'order': 28, 'powers': [47, 139, 8], 'representative': 1233, 'size': 28}
  • id: 120801129
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 139, 'group_counter': 467, 'group_order': 1568, 'label': '28L5', 'order': 28, 'powers': [45, 135, 8], 'representative': 561, 'size': 28}
  • id: 120801131
    {'aut_label': '28K1', 'centralizer': '28.f1.a1', 'counter': 140, 'group_counter': 467, 'group_order': 1568, 'label': '28L-5', 'order': 28, 'powers': [45, 136, 8], 'representative': 1009, 'size': 28}
  • id: 120801132
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 141, 'group_counter': 467, 'group_order': 1568, 'label': '56A1', 'order': 56, 'powers': [81, 142, 26], 'representative': 2, 'size': 14}
  • id: 120801133
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 142, 'group_counter': 467, 'group_order': 1568, 'label': '56A3', 'order': 56, 'powers': [82, 144, 27], 'representative': 6, 'size': 14}
  • id: 120801134
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 143, 'group_counter': 467, 'group_order': 1568, 'label': '56A5', 'order': 56, 'powers': [83, 147, 27], 'representative': 10, 'size': 14}
  • id: 120801135
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 144, 'group_counter': 467, 'group_order': 1568, 'label': '56A9', 'order': 56, 'powers': [84, 152, 26], 'representative': 18, 'size': 14}
  • id: 120801136
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 145, 'group_counter': 467, 'group_order': 1568, 'label': '56A11', 'order': 56, 'powers': [85, 150, 27], 'representative': 22, 'size': 14}
  • id: 120801137
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 146, 'group_counter': 467, 'group_order': 1568, 'label': '56A13', 'order': 56, 'powers': [86, 148, 27], 'representative': 26, 'size': 14}
  • id: 120801138
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 147, 'group_counter': 467, 'group_order': 1568, 'label': '56A15', 'order': 56, 'powers': [86, 145, 26], 'representative': 82, 'size': 14}
  • id: 120801139
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 148, 'group_counter': 467, 'group_order': 1568, 'label': '56A17', 'order': 56, 'powers': [85, 143, 26], 'representative': 34, 'size': 14}
  • id: 120801140
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 149, 'group_counter': 467, 'group_order': 1568, 'label': '56A19', 'order': 56, 'powers': [84, 141, 27], 'representative': 38, 'size': 14}
  • id: 120801142
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 150, 'group_counter': 467, 'group_order': 1568, 'label': '56A23', 'order': 56, 'powers': [83, 146, 26], 'representative': 66, 'size': 14}
  • id: 120801143
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 151, 'group_counter': 467, 'group_order': 1568, 'label': '56A25', 'order': 56, 'powers': [82, 149, 26], 'representative': 50, 'size': 14}
  • id: 120801144
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 152, 'group_counter': 467, 'group_order': 1568, 'label': '56A27', 'order': 56, 'powers': [81, 151, 27], 'representative': 58, 'size': 14}
  • id: 120801145
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 153, 'group_counter': 467, 'group_order': 1568, 'label': '56B1', 'order': 56, 'powers': [81, 154, 28], 'representative': 114, 'size': 14}
  • id: 120801146
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 154, 'group_counter': 467, 'group_order': 1568, 'label': '56B3', 'order': 56, 'powers': [82, 156, 29], 'representative': 118, 'size': 14}
  • id: 120801147
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 155, 'group_counter': 467, 'group_order': 1568, 'label': '56B5', 'order': 56, 'powers': [83, 159, 29], 'representative': 122, 'size': 14}
  • id: 120801148
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 156, 'group_counter': 467, 'group_order': 1568, 'label': '56B9', 'order': 56, 'powers': [84, 164, 28], 'representative': 130, 'size': 14}
  • id: 120801149
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 157, 'group_counter': 467, 'group_order': 1568, 'label': '56B11', 'order': 56, 'powers': [85, 162, 29], 'representative': 134, 'size': 14}
  • id: 120801150
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 158, 'group_counter': 467, 'group_order': 1568, 'label': '56B13', 'order': 56, 'powers': [86, 160, 29], 'representative': 138, 'size': 14}
  • id: 120801151
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 159, 'group_counter': 467, 'group_order': 1568, 'label': '56B15', 'order': 56, 'powers': [86, 157, 28], 'representative': 194, 'size': 14}
  • id: 120801153
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 160, 'group_counter': 467, 'group_order': 1568, 'label': '56B17', 'order': 56, 'powers': [85, 155, 28], 'representative': 146, 'size': 14}
  • id: 120801154
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 161, 'group_counter': 467, 'group_order': 1568, 'label': '56B19', 'order': 56, 'powers': [84, 153, 29], 'representative': 150, 'size': 14}
  • id: 120801155
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 162, 'group_counter': 467, 'group_order': 1568, 'label': '56B23', 'order': 56, 'powers': [83, 158, 28], 'representative': 178, 'size': 14}
  • id: 120801156
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 163, 'group_counter': 467, 'group_order': 1568, 'label': '56B25', 'order': 56, 'powers': [82, 161, 28], 'representative': 162, 'size': 14}
  • id: 120801157
    {'aut_label': '56A1', 'centralizer': '14.g1.a1', 'counter': 164, 'group_counter': 467, 'group_order': 1568, 'label': '56B27', 'order': 56, 'powers': [81, 163, 29], 'representative': 170, 'size': 14}
• 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: 6745655
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.1a', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 6745666
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.1b', '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, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 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: 6745677
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.1c', '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, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -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: 6745688
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.1d', '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, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -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: 6745696
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.1e', '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, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 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: 6745697
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.1f', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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: 6745698
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.1g', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 6745699
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.1h', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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: 6745700
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, -2, 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, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -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, 0], 'schur_index': 1}
  • id: 6745656
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -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, 0], 'schur_index': 1}
  • id: 6745657
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2c', 'multiplicity': 2, 'nt': [16, 14], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, -4, -4, 4, -4, 4, -4, 4, 4, 4, -4, -4, -4, 4, -4, -4, -4, -4, -4, -4, 4, -4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745658
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2d', 'multiplicity': 2, 'nt': [16, 14], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, -4, 4, -4, -4, 4, 4, -4, -4, -4, 4, -4, -4, -4, 4, 4, -4, -4, -4, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, -4, -4, -4, 4, -4, 4, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745659
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2e', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, 6, -1, 6, -1, 6, -1, -1, 6, 6, 6, 6, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 6745660
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2f', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 0, 0, -1, -1, -1, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, 6, -1, 6, -1, 6, 6, -1, -1, -1, -1, 6, 6, 6, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 6745661
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2g', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, -6, -6, 6, -6, 6, -6, 6, 0, 0, -1, -1, -1, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -6, -1, -6, 1, -6, 6, 1, 1, 1, 1, -6, 6, 6, -6, 1, -1, -6, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 6, 6, 6, -6, -6, -6, -6, 6, 6, -6, -6, 6, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 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], 'schur_index': 1}
  • id: 6745662
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2h', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, -6, -6, 6, -6, 6, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -6, 6, 6, -6, 6, 1, 6, 1, -6, 1, -1, -6, -6, -6, -6, 1, -1, -1, 1, -6, 6, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -6, -1, -1, -1, 1, 6, 1, -6, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 6, 6, -1, 1, 1, -1, 1, 1, -1, -6, -1, 1, 1, 1, 1, -1, 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, 1, -1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 6745663
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2i', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, -6, -6, 6, -6, 6, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -6, -6, 6, 6, 1, 6, 1, -6, 1, -1, -6, -6, -6, -6, 1, -1, -1, 1, -6, 6, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -6, -1, -1, -1, 1, 6, 1, -6, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 6, 6, -1, 1, 1, -1, 1, 1, -1, -6, -1, 1, 1, 1, 1, -1, 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, -1, 1, 1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 6745664
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2j', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, -6, -6, 6, -6, 6, 6, -6, 0, 0, -1, -1, -1, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, -6, -1, -6, 1, -6, 6, 1, 1, 1, 1, -6, 6, 6, -6, 1, -1, -6, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 6, 6, 6, -6, -6, -6, -6, 6, 6, -6, -6, 6, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 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], 'schur_index': 1}
  • id: 6745665
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2k', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, -6, -6, 0, 0, -1, -1, -1, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, -1, 6, -1, 6, -1, 6, 6, -1, -1, -1, -1, 6, 6, 6, 6, -1, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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], 'schur_index': 1}
  • id: 6745667
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2l', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -6, -6, -6, -6, 6, -1, 6, -1, 6, -1, -1, 6, 6, 6, 6, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, 6, -1, 6, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 6, 6, -1, -1, -1, -1, -1, -1, -1, 6, -1, -1, -1, -1, -1, -1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 6745668
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2m', 'multiplicity': 6, 'nt': [28, 6], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, -12, 0, 0, 0, 0, -2, -2, -2, 12, 12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -12, -2, -12, 2, -12, 12, 2, 2, 2, 2, -12, 12, 12, -12, 2, -2, -12, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -12, -12, -12, 12, 12, 12, 12, -12, -12, 12, 12, -12, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 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, 0], 'schur_index': 1}
  • id: 6745669
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2n', 'multiplicity': 6, 'nt': [28, 6], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, 0, 0, 0, 0, -2, -2, -2, 12, 12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, -2, 12, -2, 12, -2, 12, 12, -2, -2, -2, -2, 12, 12, 12, 12, -2, -2, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 0], 'schur_index': 1}
  • id: 6745670
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2o', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, -12, 0, 0, 0, 0, 12, 12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 12, 2, 12, 2, -12, 2, -2, -12, -12, -12, -12, 2, -2, -2, 2, -12, 12, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, 12, 2, 2, 2, -2, -12, -2, 12, 2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -12, -12, 2, -2, -2, 2, -2, -2, 2, 12, 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, 0], 'schur_index': 1}
  • id: 6745671
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2p', 'multiplicity': 6, 'nt': [28, 10], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, 0, 0, 0, 0, 12, 12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 12, -2, 12, -2, 12, -2, -2, 12, 12, 12, 12, -2, -2, -2, -2, 12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -12, 2, 2, 2, 2, -12, 2, -12, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -12, -12, 2, 2, 2, 2, 2, 2, 2, -12, 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, 0], 'schur_index': 1}
  • id: 6745674
    {'cdim': 4, 'counter': 27, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4a', 'multiplicity': 3, 'nt': [14, 13], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, 5, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, 5, 5, -2, -2, -2, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, 5, 5, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745675
    {'cdim': 4, 'counter': 28, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4b', 'multiplicity': 3, 'nt': [14, 13], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, 5, -2, -2, 5, 5, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, 5, 5, -2, -2, -2, -2, 5, -2, 5, -2, -2, -2, 5, -2, -2, -2, 5, -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], 'schur_index': 1}
  • id: 6745676
    {'cdim': 4, 'counter': 29, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4c', 'multiplicity': 3, 'nt': [14, 13], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, 5, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, 5, 5, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, -2, 5, -2, -2, 5, 5, -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], 'schur_index': 1}
  • id: 6745678
    {'cdim': 4, 'counter': 30, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4d', 'multiplicity': 3, 'nt': [28, 50], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, 5, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -5, 2, 2, 2, -2, 2, -5, 2, 2, 2, -2, 2, -2, -5, 2, -5, -2, -2, 5, -5, -5, 2, -2, 2, 5, 5, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, -5, -2, 2, 2, 2, -2, 2, 5, -2, 2, 5, 2, 5, -5, -5, -5, 2, -2, -2, 2, -5, 2, -2, 2, 2, 2, 5, -2, 2, -2, 5, 2, -2, 2, -2, -2, 5, -2, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745679
    {'cdim': 4, 'counter': 31, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4e', 'multiplicity': 3, 'nt': [28, 50], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, -2, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -5, 2, 2, 5, -5, 2, 2, -5, -5, -2, 2, 5, 2, -5, 2, -2, 5, -2, 2, 2, 2, -2, 2, -2, -2, -5, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, 5, -2, 2, -2, 2, -5, -5, -2, 2, -2, -2, -5, -2, -5, -2, 2, 2, 2, 2, 5, -2, 2, 2, -5, 5, 2, 2, 2, -2, 5, 2, 5, -2, 2, -2, -5, -2, -2, -2, 5, 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], 'schur_index': 1}
  • id: 6745680
    {'cdim': 4, 'counter': 32, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4f', 'multiplicity': 3, 'nt': [28, 50], 'qdim': 12, 'qvalues': [12, -12, -12, 12, 12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -5, -5, -2, 2, 2, -5, 2, 2, 5, -5, -2, 2, 2, 2, 5, -2, -2, 2, 2, -5, 5, -5, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 5, -2, 5, 2, -2, -5, 2, 2, 5, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -5, -2, 5, -5, 2, 2, -2, 2, 2, -5, -2, -2, -5, -2, -2, -5, -2, 2, 5, 5, -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], 'schur_index': 1}
  • id: 6745681
    {'cdim': 4, 'counter': 33, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4g', 'multiplicity': 3, 'nt': [28, 50], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, 5, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, -2, -2, 5, -2, 5, -2, -2, 5, 5, 5, -2, -2, -2, 5, 5, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, -5, -5, -5, -5, 2, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, 2, 2, 2, 2, 2, -5, 2, -5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745682
    {'cdim': 4, 'counter': 34, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4h', 'multiplicity': 3, 'nt': [28, 50], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, 5, -2, -2, 5, 5, -2, -2, 5, -2, 5, -2, -2, 5, -2, -2, -2, -2, -2, -2, -2, -2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, 2, 2, 2, -5, -5, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, 2, 2, -5, 2, 2, 2, -5, -5, 2, 2, 2, 2, -5, 2, -5, 2, 2, 2, -5, 2, 2, 2, -5, 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], 'schur_index': 1}
  • id: 6745683
    {'cdim': 4, 'counter': 35, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4i', 'multiplicity': 3, 'nt': [28, 50], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, -12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, -2, -2, 5, -2, -2, 5, 5, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, 5, 5, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -5, 2, -5, -5, 2, 2, 2, 2, 2, -5, 2, 2, -5, 2, 2, -5, 2, 2, -5, -5, 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], 'schur_index': 1}
  • id: 6745684
    {'cdim': 4, 'counter': 36, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4j', 'multiplicity': 3, 'nt': [28, 52], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -12, 12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 5, -2, -2, 5, -2, 5, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -5, 2, 2, 2, -2, 2, -5, 2, 2, 2, -2, 2, -2, -5, 2, -5, -2, -2, 5, -5, -5, 2, -2, 2, 5, 5, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 5, 2, -2, -2, -2, 2, -2, -5, 2, -2, -5, -2, -5, 5, 5, 5, -2, 2, 2, -2, 5, -2, 2, -2, -2, -2, -5, 2, -2, 2, -5, -2, 2, -2, 2, 2, -5, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745685
    {'cdim': 4, 'counter': 37, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4k', 'multiplicity': 3, 'nt': [28, 52], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -12, 12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, 5, 5, -2, 5, -2, -2, -2, -2, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -5, 2, 2, 5, -5, 2, 2, -5, -5, -2, 2, 5, 2, -5, 2, -2, 5, -2, 2, 2, 2, -2, 2, -2, -2, -5, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, -5, 2, -2, 2, -2, 5, 5, 2, -2, 2, 2, 5, 2, 5, 2, -2, -2, -2, -2, -5, 2, -2, -2, 5, -5, -2, -2, -2, 2, -5, -2, -5, 2, -2, 2, 5, 2, 2, 2, -5, -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], 'schur_index': 1}
  • id: 6745686
    {'cdim': 4, 'counter': 38, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4l', 'multiplicity': 3, 'nt': [28, 52], 'qdim': 12, 'qvalues': [12, -12, -12, 12, -12, 12, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 5, -2, -2, -2, -2, 5, -2, 5, -2, 0, 0, 0, 0, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -5, -5, -2, 2, 2, -5, 2, 2, 5, -5, -2, 2, 2, 2, 5, -2, -2, 2, 2, -5, 5, -5, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -5, 2, -5, -2, 2, 5, -2, -2, -5, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 5, 2, -5, 5, -2, -2, 2, -2, -2, 5, 2, 2, 5, 2, 2, 5, 2, -2, -5, -5, 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], 'schur_index': 1}
  • id: 6745687
    {'cdim': 4, 'counter': 39, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4m', 'multiplicity': 3, 'nt': [112, 0], 'qdim': 12, 'qvalues': [12, -12, 12, -12, 0, 0, 0, 0, 0, 0, -2, -2, -2, 12, 12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, -12, 2, -12, -2, 12, -12, 2, -2, -2, 2, -12, -12, -12, 12, 2, 2, 12, -2, 2, 2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745689
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4n', 'multiplicity': 3, 'nt': [112, 0], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 0, 0, 0, 0, 0, 0, -2, -2, -2, 12, 12, 12, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 12, 2, 12, 2, -12, -12, -2, 2, 2, -2, 12, -12, -12, -12, -2, 2, -12, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745672
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2q', 'multiplicity': 12, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, 0, 0, 0, 0, 24, 24, 24, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, -24, 4, -24, 4, 24, -4, 4, -24, 24, 24, -24, 4, 4, 4, -4, -24, -24, -4, -4, 4, 4, -4, 4, -4, 4, -4, -4, -4, 4, 4, 4, -4, 4, 4, 4, 4, 4, 4, -4, 4, 4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745673
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.2r', 'multiplicity': 12, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 0, 0, 0, 0, 0, 0, 24, 24, 24, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, -24, -4, -24, -4, -24, 4, 4, 24, -24, -24, 24, -4, 4, 4, 4, 24, -24, 4, 4, -4, -4, 4, 4, 4, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, 4, -4, 4, -4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745690
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4o', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, -4, 10, -4, 10, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, -4, 10, 4, 4, -4, 4, -4, -10, -4, -4, -4, 4, 4, 4, 10, 4, -10, 4, 4, -10, -10, 10, 4, 4, -4, -10, -10, 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], 'schur_index': 2}
  • id: 6745691
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4p', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, 10, 10, -4, 10, -4, -4, -4, -4, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, -10, 4, -4, -10, 10, 4, -4, 10, 10, 4, 4, -10, -4, -10, 4, 4, -10, 4, 4, -4, 4, 4, -4, 4, 4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745692
    {'cdim': 4, 'counter': 43, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4q', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, -4, 10, -4, 10, -4, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, -10, 10, 4, -4, 4, 10, -4, -4, -10, -10, 4, -4, 4, 4, -10, 4, 4, 4, -4, -10, -10, 10, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745693
    {'cdim': 4, 'counter': 44, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4r', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, -4, -4, 10, -4, -4, 10, -4, 10, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, 4, -4, 4, 4, -10, -4, -4, 4, 4, 4, 10, 4, 4, 4, 4, -4, 4, -10, -4, 10, 4, 4, -10, 10, -10, -4, 4, 4, -10, -10, -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], 'schur_index': 2}
  • id: 6745694
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4s', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, -4, 10, 10, -4, 10, -4, -4, -4, -4, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, 4, -4, 4, 4, 4, 10, -4, 4, -10, -10, -4, 4, -10, -10, 4, -4, -10, 4, 10, -4, 4, -10, 4, -4, 4, -4, 4, 4, 4, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 6745695
    {'cdim': 4, 'counter': 46, 'faithful': False, 'group': '1568.467', 'group_order': 1568, 'image': None, 'label': '1568.467.4t', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 10, -4, -4, -4, -4, 10, -4, 10, -4, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, 4, -4, 4, 4, 4, -4, 10, -10, 4, 4, -4, -10, 4, 4, -10, 10, 4, 4, -4, -4, -10, 4, 4, -4, 4, 10, -10, -10, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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}
• 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: 15211099
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1568, 'label': '1568.467.1a', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 15211175
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.d1', 'kernel_order': 784, 'label': '1568.467.1b', '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]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-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: 15211186
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.c1', 'kernel_order': 784, 'label': '1568.467.1c', '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]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[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: 15211197
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.b1', 'kernel_order': 784, 'label': '1568.467.1d', '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]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[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: 15211208
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  • id: 15211219
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 784, 'label': '1568.467.1f', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 15211230
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 784, 'label': '1568.467.1g', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 15211241
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1568, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 784, 'label': '1568.467.1h', '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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 15211252
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  • id: 15211100
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  • id: 15211111
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  • id: 15211122
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  • id: 15211133
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  • id: 15211144
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  • id: 15211155
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  • id: 15211166
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 16, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.b1.a1', 'kernel_order': 112, 'label': '1568.467.2e2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 15211172
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 17, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.b1.a1', 'kernel_order': 112, 'label': '1568.467.2e3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 15211173
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  • id: 15211174
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 112, 'counter': 19, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 112, 'label': '1568.467.2f2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -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]]]}
  • id: 15211176
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 112, 'counter': 20, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 112, 'label': '1568.467.2f3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211177
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  • id: 15211178
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 112, 'counter': 22, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.467.2g2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -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]]]}
  • id: 15211179
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 112, 'counter': 23, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.b1', 'kernel_order': 56, 'label': '1568.467.2g3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 3], [1, -3]], [[-2, 0]], [[-1, 3], [-1, -3]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211180
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  • id: 15211181
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 25, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1.b1', 'kernel_order': 56, 'label': '1568.467.2h2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 3], [-1, -3]], [[-2, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[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]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 15211182
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 26, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1.b1', 'kernel_order': 56, 'label': '1568.467.2h3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 3], [-1, -3]], [[2, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 3], [-1, -3]], [[-2, 0]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -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, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]]]}
  • id: 15211183
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  • id: 15211184
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 28, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1.a1', 'kernel_order': 56, 'label': '1568.467.2i2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 3], [-1, -3]], [[-2, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[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]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]]]}
  • id: 15211185
    {'center': '14.b1.a1', 'center_index': 14, 'center_order': 112, 'counter': 29, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1.a1', 'kernel_order': 56, 'label': '1568.467.2i3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-1, 3], [-1, -3]], [[2, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 3], [-1, -3]], [[-2, 0]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -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, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]]]}
  • id: 15211187
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  • id: 15211188
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  • id: 15211189
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  • id: 15211190
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  • id: 15211191
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 112, 'counter': 34, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 56, 'label': '1568.467.2k2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -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]]]}
  • id: 15211192
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  • id: 15211193
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  • id: 15211194
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  • id: 15211195
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  • id: 15211196
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  • id: 15211198
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 40, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 28, 'label': '1568.467.2m2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[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]]]}
  • id: 15211199
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 41, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 28, 'label': '1568.467.2m3', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 2], [-1, -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]]]}
  • id: 15211200
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 42, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 28, 'label': '1568.467.2m4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 2], [1, -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]]]}
  • id: 15211201
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 43, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 28, 'label': '1568.467.2m5', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 3], [1, -3]], [[-2, 0]], [[-1, 3], [-1, -3]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 2], [-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211202
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 44, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 28, 'label': '1568.467.2m6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 3], [1, -3]], [[-2, 0]], [[-1, 3], [-1, -3]], [[-2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211203
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 45, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 28, 'label': '1568.467.2n1', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-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]]]}
  • id: 15211204
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 46, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 28, 'label': '1568.467.2n2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[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]]]}
  • id: 15211205
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 47, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 28, 'label': '1568.467.2n3', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 2], [-1, -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]]]}
  • id: 15211206
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 48, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 28, 'label': '1568.467.2n4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[2, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[-1, 2], [1, -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]]]}
  • id: 15211207
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 49, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 28, 'label': '1568.467.2n5', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 1], [-1, -1]], [[1, 2], [-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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211209
    {'center': '28.b1.a1', 'center_index': 28, 'center_order': 56, 'counter': 50, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 28, 'label': '1568.467.2n6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[-1, 1], [1, -1]], [[-1, 2], [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, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211210
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 51, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 28, 'label': '1568.467.2o1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 6], [1, -6]], [[2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[2, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 6], [-1, -6]], [[2, 0]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[2, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-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]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]]]}
  • id: 15211211
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 52, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 28, 'label': '1568.467.2o2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 6], [1, -6]], [[2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[2, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-1, 6], [-1, -6]], [[2, 0]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[2, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-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]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 15211212
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 53, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 28, 'label': '1568.467.2o3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -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, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]]]}
  • id: 15211213
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 54, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 28, 'label': '1568.467.2o4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[2, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -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, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]]]}
  • id: 15211214
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 55, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 28, 'label': '1568.467.2o5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 6], [1, -6]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[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]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 15211215
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 56, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.c1.a1', 'kernel_order': 28, 'label': '1568.467.2o6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 2], [1, -2]], [[2, 0]], [[1, 6], [1, -6]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[2, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[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]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 15211216
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 57, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1.a1', 'kernel_order': 28, 'label': '1568.467.2p1', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 6], [1, -6]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-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]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]]]}
  • id: 15211217
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 58, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1.a1', 'kernel_order': 28, 'label': '1568.467.2p2', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 6], [1, -6]], [[-2, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-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]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]]]}
  • id: 15211218
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 59, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1.a1', 'kernel_order': 28, 'label': '1568.467.2p3', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -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, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]]]}
  • id: 15211220
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 60, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1.a1', 'kernel_order': 28, 'label': '1568.467.2p4', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[2, 0]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[-2, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -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, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]]]}
  • id: 15211221
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 61, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1.a1', 'kernel_order': 28, 'label': '1568.467.2p5', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 6], [-1, -6]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[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]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 15211222
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 56, 'counter': 62, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '56.5', 'image_order': 56, 'indicator': 1, 'kernel': '56.a1.a1', 'kernel_order': 28, 'label': '1568.467.2p6', 'nt': [28, 10], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 2], [-1, -2]], [[2, 0]], [[-1, 6], [-1, -6]], [[2, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 0]], [[2, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 2], [1, -2]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-2, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 2], [1, -2]], [[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]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 15211223
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 63, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q1', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[1, 12], [1, -12]], [[-2, 0]], [[-1, 8], [-1, -8]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[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]], [[0, 0]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]]]}
  • id: 15211233
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 72, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q10', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[1, 4], [1, -4]], [[-2, 0]], [[1, 12], [1, -12]], [[2, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -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, 13], [1, -13]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]]]}
  • id: 15211234
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 73, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q11', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[1, 4], [1, -4]], [[-2, 0]], [[1, 12], [1, -12]], [[2, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -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, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]]]}
  • id: 15211235
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 74, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q12', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[1, 4], [1, -4]], [[-2, 0]], [[1, 12], [1, -12]], [[2, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -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, 13], [-1, -13]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]]]}
  • id: 15211224
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 64, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q2', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[1, 12], [1, -12]], [[-2, 0]], [[-1, 8], [-1, -8]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-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]], [[0, 0]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]]]}
  • id: 15211225
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 65, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q3', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[1, 12], [1, -12]], [[-2, 0]], [[-1, 8], [-1, -8]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[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]], [[0, 0]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 15211226
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 66, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q4', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[1, 12], [1, -12]], [[-2, 0]], [[-1, 8], [-1, -8]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-2, 0]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-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]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]]]}
  • id: 15211227
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 67, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q5', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -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]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]]]}
  • id: 15211228
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 68, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q6', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -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]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]]]}
  • id: 15211229
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 69, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q7', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -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]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]]]}
  • id: 15211231
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 70, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q8', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-2, 0]], [[1, 4], [1, -4]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[-2, 0]], [[-2, 0]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -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]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[1, 3], [1, -3]]]}
  • id: 15211232
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 71, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.b1', 'kernel_order': 14, 'label': '1568.467.2q9', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[1, 4], [1, -4]], [[-2, 0]], [[1, 12], [1, -12]], [[2, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-2, 0]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -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, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 13], [1, -13]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]]]}
  • id: 15211236
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 75, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r1', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[-1, 12], [-1, -12]], [[-2, 0]], [[1, 8], [1, -8]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[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]], [[0, 0]], [[-1, 11], [-1, -11]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]]]}
  • id: 15211246
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 84, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r10', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 12], [-1, -12]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 10], [-1, -10]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -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, 13], [-1, -13]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]]]}
  • id: 15211247
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 85, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r11', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 12], [-1, -12]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 10], [1, -10]], [[0, 0]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -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, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[-1, 9], [-1, -9]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, -5]]]}
  • id: 15211248
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 86, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r12', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 12], [-1, -12]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 10], [-1, -10]], [[0, 0]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -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, 13], [1, -13]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]]]}
  • id: 15211237
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 76, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r2', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[-1, 12], [-1, -12]], [[-2, 0]], [[1, 8], [1, -8]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-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]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[1, 5], [1, -5]], [[1, 13], [1, -13]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]]]}
  • id: 15211238
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 77, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r3', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[-1, 12], [-1, -12]], [[-2, 0]], [[1, 8], [1, -8]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[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]], [[0, 0]], [[1, 11], [1, -11]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 15211239
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 78, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r4', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[-1, 12], [-1, -12]], [[-2, 0]], [[1, 8], [1, -8]], [[-2, 0]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[-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]], [[0, 0]], [[1, 3], [1, -3]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[-1, 5], [-1, -5]], [[-1, 13], [-1, -13]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]]]}
  • id: 15211240
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 79, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r5', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[1, 8], [1, -8]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 6], [-1, -6]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -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]], [[1, 9], [1, -9]], [[-1, 11], [-1, -11]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 13], [1, -13]], [[-1, 13], [-1, -13]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 11], [1, -11]], [[-1, 3], [-1, -3]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 9], [-1, -9]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]]]}
  • id: 15211242
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 80, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r6', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[1, 8], [1, -8]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 6], [1, -6]], [[0, 0]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -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]], [[-1, 5], [-1, -5]], [[-1, 3], [-1, -3]], [[-1, 11], [-1, -11]], [[1, 9], [1, -9]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 13], [1, -13]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 5], [1, -5]], [[-1, 13], [-1, -13]], [[-1, 13], [-1, -13]], [[-1, 3], [-1, -3]]]}
  • id: 15211243
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 81, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r7', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[1, 8], [1, -8]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 6], [-1, -6]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -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]], [[-1, 9], [-1, -9]], [[1, 11], [1, -11]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 11], [-1, -11]], [[1, 3], [1, -3]], [[-1, 9], [-1, -9]], [[1, 13], [1, -13]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 11], [1, -11]]]}
  • id: 15211244
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 82, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r8', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-2, 0]], [[1, 8], [1, -8]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[2, 0]], [[-2, 0]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 6], [1, -6]], [[0, 0]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -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]], [[1, 5], [1, -5]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 9], [-1, -9]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 5], [-1, -5]], [[1, 13], [1, -13]], [[1, 13], [1, -13]], [[1, 3], [1, -3]]]}
  • id: 15211245
    {'center': '56.a1.a1', 'center_index': 56, 'center_order': 28, 'counter': 83, 'cyclotomic_n': 56, 'dim': 2, 'faithful': False, 'field': [1, 0, -24, 0, 86, 0, -104, 0, 53, 0, -12, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '112.7', 'image_order': 112, 'indicator': -1, 'kernel': '112.a1.a1', 'kernel_order': 14, 'label': '1568.467.2r9', 'nt': [112, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 12], [-1, -12]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[-2, 0]], [[-1, 4], [-1, -4]], [[-2, 0]], [[-1, 12], [-1, -12]], [[-2, 0]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 8], [1, -8]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[2, 0]], [[-2, 0]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[1, 8], [1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 8], [-1, -8]], [[1, 12], [1, -12]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 4], [1, -4]], [[-1, 8], [-1, -8]], [[1, 8], [1, -8]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 12], [-1, -12]], [[1, 12], [1, -12]], [[1, 12], [1, -12]], [[-1, 8], [-1, -8]], [[-1, 4], [-1, -4]], [[-1, 8], [-1, -8]], [[-1, 12], [-1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[1, 4], [1, -4]], [[1, 12], [1, -12]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 10], [1, -10]], [[1, 6], [1, -6]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, -10]], [[0, 0]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[0, 0]], [[1, 10], [1, -10]], [[0, 0]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [-1, -6]], [[1, 10], [1, -10]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 10], [-1, -10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, -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, 5], [-1, -5]], [[1, 9], [1, -9]], [[-1, 13], [-1, -13]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 9], [1, -9]], [[1, 1], [1, -1]], [[-1, 11], [-1, -11]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[-1, 9], [-1, -9]], [[1, 3], [1, -3]], [[-1, 13], [-1, -13]], [[1, 13], [1, -13]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, -5]]]}
  • id: 15211249
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 87, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '196.9', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.467.4a1', 'nt': [14, 13], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 1], [2, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 0], [1, 1], [1, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [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]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211250
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 88, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '196.9', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.467.4a2', 'nt': [14, 13], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 3], [2, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[2, 0], [1, 3], [1, -3]], [[2, 1], [2, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -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]]]}
  • id: 15211251
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  • id: 15211253
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 90, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '196.9', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.467.4b1', 'nt': [14, 13], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 3], [1, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 3], [2, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-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]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211254
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  • id: 15211255
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 92, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '196.9', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.467.4b3', 'nt': [14, 13], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 1], [1, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-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]], [[0, 0]]]}
  • id: 15211256
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  • id: 15211257
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 94, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '196.9', 'image_order': 196, 'indicator': 1, 'kernel': '196.a1.a1', 'kernel_order': 8, 'label': '1568.467.4c2', 'nt': [14, 13], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 3], [2, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-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]], [[0, 0]]]}
  • id: 15211258
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  • id: 15211259
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 96, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '392.21', 'image_order': 392, 'indicator': 1, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.467.4d1', 'nt': [28, 50], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[1, 0], [1, 1], [1, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-2, 0], [-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-2, 1], [-2, -1]], [[2, 0], [1, 1], [1, -1]], [[2, 2], [2, -2]], [[1, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[1, 0], [1, 3], [1, -3]], [[2, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[1, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[2, 3], [2, -3]], [[1, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-2, 0], [-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]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211260
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  • id: 15211261
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 98, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '392.21', 'image_order': 392, 'indicator': 1, 'kernel': '392.b1.a1', 'kernel_order': 4, 'label': '1568.467.4d3', 'nt': [28, 50], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[2, 0], [1, 2], [1, -2]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[1, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[1, 0], [1, 2], [1, -2]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[2, 1], [2, -1]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-2, 0], [-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]], [[0, 0]]]}
  • id: 15211262
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  • id: 15211101
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  • id: 15211102
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  • id: 15211103
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  • id: 15211104
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  • id: 15211105
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  • id: 15211106
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  • id: 15211107
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 106, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '392.21', 'image_order': 392, 'indicator': 1, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.467.4g2', 'nt': [28, 50], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[-2, 3], [-2, -3]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 3], [-2, -3]], [[-2, 0], [-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[-2, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 3], [-1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 1], [1, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 1], [1, -1]], [[-2, 2], [-2, -2]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 2], [-1, -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]]]}
  • id: 15211108
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  • id: 15211109
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 108, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '392.21', 'image_order': 392, 'indicator': 1, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.467.4h1', 'nt': [28, 50], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[-2, 1], [-2, -1]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[-2, 1], [-2, -1]], [[1, 0], [1, 1], [1, -1]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[-2, 0], [-1, 3], [-1, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 1], [1, -1]], [[-2, 3], [-2, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [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]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 15211110
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  • id: 15211112
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 110, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '392.21', 'image_order': 392, 'indicator': 1, 'kernel': '392.a1.a1', 'kernel_order': 4, 'label': '1568.467.4h3', 'nt': [28, 50], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 1], [1, -1]], [[-2, 2], [-2, -2]], [[1, 0], [1, 2], [1, -2]], [[-2, 3], [-2, -3]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 1], [-1, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[-2, 1], [-2, -1]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [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]], [[0, 0]]]}
  • id: 15211113
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  • id: 15211114
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  • id: 15211115
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  • id: 15211116
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  • id: 15211117
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  • id: 15211118
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 116, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '392.41', 'image_order': 392, 'indicator': 1, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.467.4j3', 'nt': [28, 52], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[1, 0], [1, 2], [1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 1], [1, -1]], [[2, 0], [1, 2], [1, -2]], [[-2, 2], [-2, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 2], [1, -2]], [[2, 2], [2, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 2], [1, -2]], [[2, 0], [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]], [[0, 0]]]}
  • id: 15211119
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  • id: 15211120
    {'center': '196.a1.a1', 'center_index': 196, 'center_order': 8, 'counter': 118, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '392.41', 'image_order': 392, 'indicator': 1, 'kernel': '392.c1.a1', 'kernel_order': 4, 'label': '1568.467.4k2', 'nt': [28, 52], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[1, 0], [1, 3], [1, -3]], [[-2, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[2, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 2], [1, -2]], [[2, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[2, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-2, 0], [-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[1, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 1], [1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-2, 3], [-2, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 3], [1, -3]], [[2, 0], [1, 2], [1, -2]], [[1, 0], [1, 2], [1, -2]], [[2, 3], [2, -3]], [[1, 0], [1, 3], [1, -3]], [[-2, 1], [-2, -1]], [[2, 0], [1, 1], [1, -1]], [[1, 0], [1, 2], [1, -2]], [[2, 0], [1, 3], [1, -3]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 3], [-1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-2, 0], [-1, 3], [-1, -3]], [[1, 0], [1, 3], [1, -3]], [[-1, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[2, 0], [1, 2], [1, -2]], [[-2, 0], [-1, 2], [-1, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-1, 0], [-1, 2], [-1, -2]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 2], [-1, -2]], [[-1, 0], [-1, 1], [-1, -1]], [[-2, 0], [-1, 1], [-1, -1]], [[1, 0], [1, 2], [1, -2]], [[-1, 0], [-1, 3], [-1, -3]], [[-2, 2], [-2, -2]], [[2, 0], [1, 1], [1, -1]], [[1, 0], [1, 1], [1, -1]], [[1, 0], [1, 3], [1, -3]], [[1, 0], [1, 1], [1, -1]], [[-2, 0], [-1, 1], [-1, -1]], [[-1, 0], [-1, 2], [-1, -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]]]}
  • id: 15211121
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  • id: 15211123
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  • id: 15211124
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  • id: 15211125
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  • id: 15211126
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  • id: 15211127
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  • id: 15211128
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  • id: 15211129
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  • id: 15211130
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  • id: 15211131
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  • id: 15211132
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  • id: 15211134
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  • id: 15211135
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  • id: 15211136
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  • id: 15211137
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  • id: 15211138
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  • id: 15211139
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  • id: 15211140
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  • id: 15211141
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  • id: 15211142
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 4, 'counter': 138, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '784.58', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.b1', 'kernel_order': 2, 'label': '1568.467.4p4', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-1, 0], [-1, 4], [1, 10]], [[2, 0], [-1, 6], [1, 8]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[2, 0], [1, 4], [-1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-2, 0], [1, 6], [-1, 8]], [[1, 0], [1, 4], [-1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[-2, 0], [1, 6], [-1, 8]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[2, 0], [-1, 6], [1, 8]], [[2, 0], [1, 4], [-1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 0], [-1, 6], [1, 8]], [[-2, 0], [-1, 4], [1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [-1, 6], [1, 8]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4], [-1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 6], [1, 8]], [[-2, 0], [-1, 4], [1, 10]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[1, 5], [1, -5]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[0, 0]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[0, 0]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[1, 5], [1, -5]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[-1, 5], [-1, -5]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[-1, 1], [-1, -1]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[0, 0]], [[-1, 3], [-1, -3]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[1, 3], [1, -3]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 15211143
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  • id: 15211145
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  • id: 15211146
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  • id: 15211147
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  • id: 15211148
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  • id: 15211149
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 4, 'counter': 144, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '784.58', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.b1', 'kernel_order': 2, 'label': '1568.467.4q4', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 0], [-1, 6], [1, 8]], [[-1, 0], [1, 6], [-1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[2, 0], [1, 4], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-1, 0], [1, 6], [-1, 8]], [[1, 0], [-1, 6], [1, 8]], [[-2, 0], [1, 6], [-1, 8]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[2, 0], [-1, 6], [1, 8]], [[-1, 0], [1, 6], [-1, 8]], [[-1, 0], [-1, 4], [1, 10]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-2, 0], [-1, 4], [1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-2, 0], [-1, 4], [1, 10]], [[-2, 0], [1, 6], [-1, 8]], [[2, 0], [1, 4], [-1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 0], [1, 4], [-1, 10]], [[1, 0], [1, 4], [-1, 10]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-1, 5], [-1, -5]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[0, 0]], [[1, 1], [1, -1]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[1, 5], [1, -5]], [[0, 0]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[0, 0]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[-1, 3], [-1, -3]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[1, 3], [1, -3]], [[1, 5], [1, -5]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[0, 0]], [[0, 0]], [[-1, 5], [-1, -5]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[-1, 1], [-1, -1]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[1, 3], [1, -3]], [[0, 0]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 15211150
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  • id: 15211151
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  • id: 15211152
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  • id: 15211153
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  • id: 15211154
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  • id: 15211156
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  • id: 15211157
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  • id: 15211158
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  • id: 15211159
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  • id: 15211160
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 4, 'counter': 154, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '784.58', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.a1', 'kernel_order': 2, 'label': '1568.467.4s2', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-1, 0], [1, 6], [-1, 8]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[2, 0], [1, 4], [-1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[2, 0], [-1, 6], [1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[1, 0], [1, 4], [-1, 10]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-2, 0], [-1, 4], [1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[1, 0], [-1, 6], [1, 8]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-2, 0], [1, 6], [-1, 8]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-2, 0], [1, 6], [-1, 8]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[2, 0], [1, 4], [-1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-2, 0], [-1, 4], [1, 10]], [[1, 0], [-1, 6], [1, 8]], [[-1, 0], [-1, 4], [1, 10]], [[1, 0], [-1, 6], [1, 8]], [[-1, 0], [-1, 4], [1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 0], [1, 4], [-1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[2, 0], [-1, 6], [1, 8]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[0, 0]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[0, 0]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[0, 0]], [[1, 1], [1, -1]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[-1, 3], [-1, -3]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[-1, 3], [-1, -3]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[0, 0]], [[0, 0]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[-1, 5], [-1, -5]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[1, 1], [1, -1]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[-1, 1], [-1, -1]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 15211161
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  • id: 15211162
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  • id: 15211163
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  • id: 15211164
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  • id: 15211165
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  • id: 15211167
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  • id: 15211168
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  • id: 15211169
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  • id: 15211170
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 4, 'counter': 163, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '784.58', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.a1', 'kernel_order': 2, 'label': '1568.467.4t5', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 0], [1, 4], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[-1, 0], [1, 6], [-1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[2, 0], [-1, 6], [1, 8]], [[-1, 0], [-1, 4], [1, 10]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[1, 0], [1, 4], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[2, 0], [1, 4], [-1, 10]], [[-2, 0], [1, 6], [-1, 8]], [[1, 0], [1, 4], [-1, 10]], [[1, 0], [-1, 6], [1, 8]], [[-1, 0], [1, 6], [-1, 8]], [[-2, 0], [-1, 4], [1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-2, 0], [1, 6], [-1, 8]], [[2, 0], [-1, 6], [1, 8]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 0], [-1, 6], [1, 8]], [[-1, 0], [-1, 4], [1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-2, 0], [-1, 4], [1, 10]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[1, 3], [1, -3]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[-1, 1], [-1, -1]], [[0, 0]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[0, 0]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[-1, 5], [-1, -5]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[1, 3], [1, -3]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[1, 5], [1, -5]], [[0, 0]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 15211171
    {'center': '392.a1.a1', 'center_index': 392, 'center_order': 4, 'counter': 164, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1568.467', 'group_counter': 467, 'group_order': 1568, 'image': None, 'image_isoclass': '784.58', 'image_order': 784, 'indicator': -1, 'kernel': '784.a1.a1', 'kernel_order': 2, 'label': '1568.467.4t6', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 0], [1, 4], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[-1, 0], [1, 6], [-1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[2, 0], [-1, 6], [1, 8]], [[-1, 0], [-1, 4], [1, 10]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[1, 0], [1, 4], [-1, 10]], [[-1, 0], [-1, 4], [1, 10]], [[2, 0], [1, 4], [-1, 10]], [[-2, 0], [1, 6], [-1, 8]], [[1, 0], [1, 4], [-1, 10]], [[1, 0], [-1, 6], [1, 8]], [[-1, 0], [1, 6], [-1, 8]], [[-2, 0], [-1, 4], [1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-2, 0], [1, 6], [-1, 8]], [[2, 0], [-1, 6], [1, 8]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 0], [1, 6], [-1, 8]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 0], [-1, 6], [1, 8]], [[-1, 0], [-1, 4], [1, 10]], [[1, 0], [-1, 6], [1, 8]], [[1, 0], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-2, 0], [-1, 4], [1, 10]], [[-1, 0], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 0], [1, 4], [-1, 10]], [[-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [-1, 6], [1, 8], [-1, 10]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[-1, 3], [-1, -3]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, 5], [-1, 9], [-1, 11]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[1, 1], [1, -1]], [[0, 0]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[0, 0]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[2, 1], [-1, 3], [-1, 7], [2, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[-2, 1], [1, 3], [1, 7], [-2, 9], [1, 11]], [[2, 1], [1, 5], [-1, 7], [1, 9], [-2, 11]], [[1, 5], [1, -5]], [[-1, 3], [-1, 5], [1, 9], [1, 11]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[2, 1], [-1, 3], [2, 5], [-1, 7], [-1, 11]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [1, 9], [-1, 11]], [[-2, 1], [1, 3], [-2, 5], [1, 7], [1, 11]], [[-1, 3], [-1, -3]], [[2, 1], [-2, 3], [1, 5], [-1, 7], [1, 9]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[-1, 5], [-1, -5]], [[0, 0]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 3], [1, 5], [-1, 9], [1, 11]], [[-2, 1], [2, 3], [-1, 5], [1, 7], [-1, 9]], [[-2, 1], [-1, 5], [1, 7], [-1, 9], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 76763366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1568, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 14, 'label': '1568.467.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1568.467', 'subgroup_hash': 467, 'subgroup_order': 1568, 'subgroup_tex': 'C_{28}.D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 784, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '784.136', 'subgroup_hash': 136, 'subgroup_order': 784, 'subgroup_tex': 'C_{28}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 784, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '784.146', 'subgroup_hash': 146, 'subgroup_order': 784, 'subgroup_tex': 'C_{28}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763477
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 784, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '784.69', 'subgroup_hash': 69, 'subgroup_order': 784, 'subgroup_tex': 'C_{14}:C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76763488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 784, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1568.467.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '784.58', 'subgroup_hash': 58, 'subgroup_order': 784, 'subgroup_tex': 'C_7^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 784, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1568.467.2.d1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '784.58', 'subgroup_hash': 58, 'subgroup_order': 784, 'subgroup_tex': 'C_7^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 784, 'counter': 7, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1568.467.2.d1.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '784.58', 'subgroup_hash': 58, 'subgroup_order': 784, 'subgroup_tex': 'C_7^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 784, 'counter': 8, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1568.467.2.d1.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '784.58', 'subgroup_hash': 58, 'subgroup_order': 784, 'subgroup_tex': 'C_7^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763532
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 392, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '392.33', 'subgroup_hash': 33, 'subgroup_order': 392, 'subgroup_tex': 'C_{14}\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 392, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '392.23', 'subgroup_hash': 23, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 392, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '392.23', 'subgroup_hash': 23, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 392, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '392.28', 'subgroup_hash': 28, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 392, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.4.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '392.28', 'subgroup_hash': 28, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763411
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 392, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '392.14', 'subgroup_hash': 14, 'subgroup_order': 392, 'subgroup_tex': 'C_7:C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76763422
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 392, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '392.14', 'subgroup_hash': 14, 'subgroup_order': 392, 'subgroup_tex': 'C_7:C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76763433
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 196, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.26', 'subgroup_hash': 26, 'subgroup_order': 392, 'subgroup_tex': 'C_{14}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763444
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 196, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.31', 'subgroup_hash': 31, 'subgroup_order': 392, 'subgroup_tex': 'C_{14}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 196, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.23', 'subgroup_hash': 23, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 196, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '392.28', 'subgroup_hash': 28, 'subgroup_order': 392, 'subgroup_tex': 'C_7^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.138', 'subgroup_hash': 138, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.7.b1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.100', 'subgroup_hash': 100, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763458
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 196, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '196.12', 'subgroup_hash': 12, 'subgroup_order': 196, 'subgroup_tex': 'C_{14}^2', 'supersolvable': True, 'sylow': 0}
  • id: 76763459
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 196, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '196.7', 'subgroup_hash': 7, 'subgroup_order': 196, 'subgroup_tex': 'C_7\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763460
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 196, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '196.7', 'subgroup_hash': 7, 'subgroup_order': 196, 'subgroup_tex': 'C_7\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 98, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.5', 'subgroup_hash': 5, 'subgroup_order': 196, 'subgroup_tex': 'C_7:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763462
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 98, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.5', 'subgroup_hash': 5, 'subgroup_order': 196, 'subgroup_tex': 'C_7:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763463
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 98, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.6', 'subgroup_hash': 6, 'subgroup_order': 196, 'subgroup_tex': 'C_7^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763464
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 98, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196.6', 'subgroup_hash': 6, 'subgroup_order': 196, 'subgroup_tex': 'C_7^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 112, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763467
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 112, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.8', 'subgroup_hash': 8, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 56, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.39', 'subgroup_hash': 39, 'subgroup_order': 112, 'subgroup_tex': 'Q_8\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.f1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763474
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.22', 'subgroup_hash': 22, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76763475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.7', 'subgroup_hash': 7, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.7', 'subgroup_hash': 7, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.i1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.7', 'subgroup_hash': 7, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.14.i1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.i1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.7', 'subgroup_hash': 7, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763484
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 98, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763485
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 98, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.16.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763486
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 98, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '98.5', 'subgroup_hash': 5, 'subgroup_order': 98, 'subgroup_tex': 'C_7\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763487
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 56, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763489
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 56, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 56, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 56, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.28.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763492
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 53, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.28.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763493
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.28.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763494
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 8, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763495
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 8, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 8, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.e1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763497
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763498
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763500
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763501
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763502
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763503
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.j1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763504
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763505
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.j1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763506
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.j1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763507
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.j1.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1.c2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.o1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.o1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.o1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.o1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.o1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.o1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.o1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.o1.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.o1.c2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 28, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 28, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.r1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.r1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.s1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.s1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.s1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.s1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.s1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.s1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.s1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.s1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.28.s1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.s1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763533
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 90, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.28.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76763534
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 91, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.28.t1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.t1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.2', 'subgroup_hash': 2, 'subgroup_order': 56, 'subgroup_tex': 'C_{56}', 'supersolvable': True, 'sylow': 0}
  • id: 76763535
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 49, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 7, 'label': '1568.467.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.41', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 41, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['L3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '49.2', 'subgroup_hash': 2, 'subgroup_order': 49, 'subgroup_tex': 'C_7^2', 'supersolvable': True, 'sylow': 7}
  • id: 76763536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1568.467.49.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '49.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 49, 'quotient_simple': None, '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': 41, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times Q_{16}', 'supersolvable': True, 'sylow': 2}
  • id: 76763537
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 28, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763538
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 28, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.56.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763539
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 28, 'counter': 96, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.56.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763540
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 28, 'counter': 97, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.56.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763541
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': True, 'core_order': 28, 'counter': 98, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.56.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763542
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 28, 'counter': 99, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.56.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763368
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763369
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763370
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.g1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763371
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 103, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.56.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763372
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 104, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.56.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763373
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 105, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.56.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763374
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 106, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.56.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763375
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 107, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.56.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763376
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 4, 'counter': 108, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.56.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.i1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763377
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 14, 'counter': 109, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.56.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763379
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 14, 'counter': 110, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.56.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 76763380
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 14, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763381
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 14, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763382
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763383
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763384
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763385
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 14, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763386
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763387
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.a2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.a2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763388
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763390
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.b2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.b2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763391
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763392
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.c2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.c2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763393
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763394
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.d2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.d2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763395
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763396
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.e2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.e2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763397
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763398
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 2, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.56.n1.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1.f2', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 8, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.98.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.98.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763402
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.98.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, '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': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.98.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, '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': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.98.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, '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': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.98.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, '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': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.98.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '98.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 98, 'quotient_simple': None, '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': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 76763407
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 14, 'counter': 136, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763408
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 14, 'counter': 137, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.112.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763409
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 14, 'counter': 138, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.112.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763410
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': False, 'core_order': 14, 'counter': 139, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.112.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763412
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 14, 'counter': 140, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.112.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.29', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 29, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763413
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 14, 'counter': 141, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.112.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.36', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763414
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 142, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763415
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 143, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763416
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 144, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.e1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763417
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 145, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.e1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763418
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 146, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.e1.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.e1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763419
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 147, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.e1.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.f1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763420
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 148, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763421
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 149, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763423
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 2, 'counter': 150, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.112.f1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 76763424
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 8, 'counter': 151, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.196.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '196.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '196.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 196, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7^2', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763425
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 4, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.196.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763426
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.196.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 4, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.196.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.196.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 4, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.196.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 4, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.196.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.196.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1568.467.196.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763434
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 160, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.196.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': 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': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763435
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 161, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.196.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '196.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 196, 'quotient_simple': 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': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 76763436
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 7, 'counter': 162, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.224.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '224.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.100', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 100, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76763437
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 7, 'counter': 163, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.224.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '224.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76763438
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.224.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76763439
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.224.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76763440
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 392, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.224.c1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.c1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 0}
  • id: 76763441
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': True, 'core_order': 4, 'counter': 167, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1568.467.392.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '392.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '392.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 392, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_{28}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 76763442
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 4, 'counter': 168, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.392.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '392.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '392.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 392, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_{28}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763443
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 784, 'characteristic': True, 'core_order': 4, 'counter': 169, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.392.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '392.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '392.41', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 41, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 392, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763445
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 2, 'counter': 170, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.392.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '392.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 392, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763446
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 2, 'counter': 171, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.392.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '392.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 392, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763447
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 172, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.392.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '392.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 392, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763448
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 173, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1568.467.392.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '392.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 392, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 76763449
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': False, 'core_order': 2, 'counter': 174, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1568.467.784.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '784.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '784.58', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 58, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 784, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7^2:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 76763450
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': False, 'core_order': 2, 'counter': 175, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1568.467.784.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '784.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '784.58', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 58, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 784, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7^2:Q_{16}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 76763451
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': True, 'core_order': 2, 'counter': 176, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1568.467.784.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '784.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '784.132', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 132, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 784, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}:D_{28}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 76763452
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1568.467', 'ambient_counter': 467, 'ambient_order': 1568, 'ambient_tex': 'C_{28}.D_{28}', 'central': True, 'central_factor': False, 'centralizer_order': 1568, 'characteristic': True, 'core_order': 1, 'counter': 177, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1568.467.1568.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1568.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1568.467', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 467, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1568, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}.D_{28}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 76763379
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '28.f1.a1', '28.k1.a1', '28.p1.b1'], 'contains': ['112.c1.a1', '392.d1.b1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [841, 56, 224], 'label': '1568.467.56.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '56.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763380
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.c1.a1', '28.g1.a1', '28.l1.a1'], 'contains': ['112.d1.a1', '392.d1.a1'], 'core': '112.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 16, 56], 'label': '1568.467.56.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763366
    {'ambient': '1568.467', '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': '392.a1.a1', 'complements': ['1568.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.d1.b1', '2.d1.c1', '2.d1.d1', '7.a1.a1', '7.b1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 16, 784, 84, 14, 224, 56], 'label': '1568.467.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.d1.b1', '2.d1.c1', '2.d1.d1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', '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: 76763367
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.d1.b1'], 'contains': ['8.c1.a1', '8.d1.a1', '28.c1.a1', '28.p1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 224, 56, 84, 16], 'label': '1568.467.4.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.d1.b1'], 'normal_contains': ['8.c1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763368
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.e1.a1', '28.j1.a1', '28.j1.a2'], 'contains': ['112.e1.a1', '112.e1.d1', '112.f1.a1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [56, 688, 784], 'label': '1568.467.56.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763369
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.e1.b1', '28.j1.b1', '28.j1.b2'], 'contains': ['112.e1.b1', '112.e1.e1', '112.f1.b1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [56, 240, 784], 'label': '1568.467.56.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763370
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.e1.c1', '28.j1.c1', '28.j1.c2'], 'contains': ['112.e1.c1', '112.e1.f1', '112.f1.c1', '392.a1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [56, 464, 784], 'label': '1568.467.56.g1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.g1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763371
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.e1.a1', '28.o1.a1', '28.o1.a2'], 'contains': ['112.f1.a1', '392.b1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [812, 56, 688], 'label': '1568.467.56.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763372
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.e1.b1', '28.o1.b1', '28.o1.b2'], 'contains': ['112.f1.b1', '392.b1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [812, 56, 240], 'label': '1568.467.56.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763373
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.e1.c1', '28.o1.c1', '28.o1.c2'], 'contains': ['112.f1.c1', '392.b1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [812, 56, 464], 'label': '1568.467.56.h1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.h1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763374
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.e1.a1', '28.s1.a1', '28.s1.d1'], 'contains': ['112.f1.a1', '392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84, 56, 688], 'label': '1568.467.56.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763375
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.e1.b1', '28.s1.b1', '28.s1.e1'], 'contains': ['112.f1.b1', '392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84, 56, 240], 'label': '1568.467.56.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763376
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.e1.c1', '28.s1.c1', '28.s1.f1'], 'contains': ['112.f1.c1', '392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84, 56, 464], 'label': '1568.467.56.i1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '56.i1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763377
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.f1.a1', '28.k1.a1', '28.p1.a1'], 'contains': ['112.c1.a1', '392.d1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1, 56, 224], 'label': '1568.467.56.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '56.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763378
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.c1', '2.d1.d1'], 'contains': ['8.c1.a1', '8.d1.b1', '28.c1.b1', '28.p1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [841, 224, 56, 84, 16], 'label': '1568.467.4.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.a1.a1', '2.d1.c1', '2.d1.d1'], 'normal_contains': ['8.c1.a1', '28.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763381
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '28.c1.b1', '28.g1.a1', '28.l1.a1'], 'contains': ['112.d1.a1', '392.d1.b1'], 'core': '112.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [841, 16, 56], 'label': '1568.467.56.k1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.k1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.k1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763382
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.h1.a1', '28.m1.a1', '28.q1.a1'], 'contains': ['112.c1.a1', '392.e1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 224, 56], 'label': '1568.467.56.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.d1.a1', 'old_label': '56.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763383
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.h1.a1', '28.m1.a1', '28.q1.b1'], 'contains': ['112.c1.a1', '392.e1.b1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 224, 56], 'label': '1568.467.56.l1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.d1.a1', 'old_label': '56.l1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.l1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763384
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.i1.a1', '28.n1.a1', '28.r1.a1'], 'contains': ['112.d1.a1', '392.e1.a1'], 'core': '112.d1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 16, 56], 'label': '1568.467.56.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '56.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763385
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.i1.a1', '28.n1.a1', '28.r1.b1'], 'contains': ['112.d1.a1', '392.e1.b1'], 'core': '112.d1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 16, 56], 'label': '1568.467.56.m1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '56.m1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.m1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763386
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.j1.a1', '28.o1.a1', '28.s1.a1'], 'contains': ['112.f1.a1', '392.e1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 688, 56], 'label': '1568.467.56.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '56.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763387
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.j1.a2', '28.o1.a2', '28.s1.a1'], 'contains': ['112.f1.a1', '392.e1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 912, 56], 'label': '1568.467.56.n1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '56.n1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763388
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.j1.b1', '28.o1.b1', '28.s1.b1'], 'contains': ['112.f1.b1', '392.e1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 240, 56], 'label': '1568.467.56.n1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '56.n1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763389
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.d1.c1'], 'contains': ['8.c1.a1', '8.e1.a1', '28.q1.a1', '28.r1.a1', '28.s1.a1', '28.s1.b1', '28.s1.c1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [115, 56, 16, 84, 224], 'label': '1568.467.4.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.d1.c1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763390
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.j1.b2', '28.o1.b2', '28.s1.b1'], 'contains': ['112.f1.b1', '392.e1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 1360, 56], 'label': '1568.467.56.n1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '56.n1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763391
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.j1.c1', '28.o1.c1', '28.s1.c1'], 'contains': ['112.f1.c1', '392.e1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 464, 56], 'label': '1568.467.56.n1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '56.n1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763392
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.j1.c2', '28.o1.c2', '28.s1.c1'], 'contains': ['112.f1.c1', '392.e1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 1136, 56], 'label': '1568.467.56.n1.c2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '56.n1.c2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.c2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763393
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.j1.a1', '28.o1.a2', '28.s1.d1'], 'contains': ['112.f1.a1', '392.e1.b1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 688, 56], 'label': '1568.467.56.n1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '56.n1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763394
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.j1.a2', '28.o1.a1', '28.s1.d1'], 'contains': ['112.f1.a1', '392.e1.b1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 912, 56], 'label': '1568.467.56.n1.d2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '56.n1.d2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.d2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763395
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.j1.b1', '28.o1.b2', '28.s1.e1'], 'contains': ['112.f1.b1', '392.e1.b1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 240, 56], 'label': '1568.467.56.n1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '56.n1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763396
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.j1.b2', '28.o1.b1', '28.s1.e1'], 'contains': ['112.f1.b1', '392.e1.b1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 1360, 56], 'label': '1568.467.56.n1.e2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '56.n1.e2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.e2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763397
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.j1.c1', '28.o1.c2', '28.s1.f1'], 'contains': ['112.f1.c1', '392.e1.b1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 464, 56], 'label': '1568.467.56.n1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '56.n1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763398
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.j1.c2', '28.o1.c1', '28.s1.f1'], 'contains': ['112.f1.c1', '392.e1.b1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 1136, 56], 'label': '1568.467.56.n1.f2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '56.n1.f2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1.f2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763399
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '98.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.a1.a1', '14.c1.a1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.b1.a1', '196.d1.a1', '196.f1.a1', '196.f1.b1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 84, 784], 'label': '1568.467.98.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '98.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763400
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.b1', '2.d1.d1'], 'contains': ['8.c1.a1', '8.e1.b1', '28.q1.b1', '28.r1.b1', '28.s1.d1', '28.s1.e1', '28.s1.f1'], 'core': '4.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 56, 16, 84, 224], 'label': '1568.467.4.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': ['2.b1.a1', '2.d1.b1', '2.d1.d1'], 'normal_contains': ['8.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763401
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '98.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.d1.a1', '14.e1.a1', '14.f1.a1', '14.f1.b1', '14.f1.c1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.c1.a1', '196.e1.a1', '196.g1.a1', '196.g1.b1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': None, 'generators': [3, 84, 784], 'label': '1568.467.98.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '98.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763402
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '98.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '14.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.b1.a1', '14.g1.a1', '49.a1.a1'], 'contains': ['196.a1.a1', '196.h1.a1', '196.h1.b1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [14, 784], 'label': '1568.467.98.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '98.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763403
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '98.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.h1.a1', '14.i1.a1', '49.a1.a1'], 'contains': ['196.f1.a1', '196.g1.a1', '196.h1.b1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': None, 'generators': [1, 126], 'label': '1568.467.98.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '98.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763404
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '98.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.h1.b1', '14.i1.b1', '49.a1.a1'], 'contains': ['196.f1.a1', '196.g1.b1', '196.h1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': None, 'generators': [1, 14], 'label': '1568.467.98.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '98.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763405
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '98.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.h1.c1', '14.i1.c1', '49.a1.a1'], 'contains': ['196.f1.b1', '196.g1.a1', '196.h1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': None, 'generators': [841, 14], 'label': '1568.467.98.d1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '98.d1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.d1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763406
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '98.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['14.h1.d1', '14.i1.d1', '49.a1.a1'], 'contains': ['196.f1.b1', '196.g1.b1', '196.h1.b1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': None, 'generators': [841, 126], 'label': '1568.467.98.d1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '98.d1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '98.d1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763407
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': ['14.i1.b1', '14.i1.c1', '14.i1.a1', '14.i1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1'], 'contains': ['224.a1.a1', '784.a1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [784, 224], 'label': '1568.467.112.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1'], 'normal_contains': ['224.a1.a1', '784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763408
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': ['14.i1.b1', '14.i1.c1', '14.i1.a1', '14.i1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.b1', '56.a1.a1'], 'contains': ['224.a1.a1', '784.a1.b1'], 'core': '112.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [840, 224], 'label': '1568.467.112.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.a1.b1', 'normal_contained_in': ['16.a1.b1', '56.a1.a1'], 'normal_contains': ['224.a1.a1', '784.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.a1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763409
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': ['14.h1.b1', '14.h1.c1', '14.h1.a1', '14.h1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.b1.a1'], 'contains': ['224.b1.a1', '784.a1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [784, 16], 'label': '1568.467.112.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.b1.a1', 'normal_contained_in': ['16.a1.a1', '56.b1.a1'], 'normal_contains': ['224.b1.a1', '784.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763410
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': ['14.h1.b1', '14.h1.c1', '14.h1.a1', '14.h1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.b1', '56.b1.a1'], 'contains': ['224.b1.a1', '784.a1.b1'], 'core': '112.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [840, 16], 'label': '1568.467.112.b1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.b1.b1', 'normal_contained_in': ['16.a1.b1', '56.b1.a1'], 'normal_contains': ['224.b1.a1', '784.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '112.b1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.b1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763411
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.b1', '2.d1.c1'], 'contains': ['8.c1.a1', '28.d1.a1', '28.t1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14, 28, 56, 16, 224], 'label': '1568.467.4.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.b1', '2.d1.c1'], 'normal_contains': ['8.c1.a1', '28.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763412
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.a1.a1', '56.c1.a1', '56.e1.a1', '56.j1.a1', '56.j1.b1', '56.l1.a1', '56.l1.b1'], 'contains': ['224.a1.a1', '784.b1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [56, 224], 'label': '1568.467.112.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.c1.a1', 'normal_contained_in': ['16.b1.a1', '56.a1.a1', '56.e1.a1', '56.c1.a1'], 'normal_contains': ['224.a1.a1', '784.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763413
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.b1.a1', '56.d1.a1', '56.f1.a1', '56.k1.a1', '56.k1.b1', '56.m1.a1', '56.m1.b1'], 'contains': ['224.b1.a1', '784.b1.a1'], 'core': '112.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [56, 16], 'label': '1568.467.112.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '112.d1.a1', 'normal_contained_in': ['16.b1.a1', '56.b1.a1', '56.f1.a1', '56.d1.a1'], 'normal_contains': ['224.b1.a1', '784.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763414
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.g1.a1'], 'contains': ['224.c1.a1', '784.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [784, 688], 'label': '1568.467.112.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763415
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.g1.b1'], 'contains': ['224.c1.b1', '784.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [784, 240], 'label': '1568.467.112.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763416
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.g1.c1'], 'contains': ['224.c1.c1', '784.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [784, 464], 'label': '1568.467.112.e1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.e1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763417
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.b1', '56.g1.a1'], 'contains': ['224.c1.a1', '784.a1.b1'], 'core': '784.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [840, 688], 'label': '1568.467.112.e1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.e1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763418
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.b1', '56.g1.b1'], 'contains': ['224.c1.b1', '784.a1.b1'], 'core': '784.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [840, 240], 'label': '1568.467.112.e1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.e1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763419
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1.b1', '56.g1.c1'], 'contains': ['224.c1.c1', '784.a1.b1'], 'core': '784.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [840, 464], 'label': '1568.467.112.e1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.e1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763420
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.g1.a1', '56.h1.a1', '56.i1.a1', '56.n1.a1', '56.n1.a2', '56.n1.d1', '56.n1.d2'], 'contains': ['224.c1.a1', '784.b1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [56, 688], 'label': '1568.467.112.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763421
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.g1.b1', '56.h1.b1', '56.i1.b1', '56.n1.b1', '56.n1.b2', '56.n1.e1', '56.n1.e2'], 'contains': ['224.c1.b1', '784.b1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [56, 240], 'label': '1568.467.112.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.f1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763422
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.d1.d1'], 'contains': ['8.c1.a1', '28.d1.b1', '28.t1.b1'], 'core': '4.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [126, 28, 56, 16, 224], 'label': '1568.467.4.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.b1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.d1.d1'], 'normal_contains': ['8.c1.a1', '28.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763423
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.g1.c1', '56.h1.c1', '56.i1.c1', '56.n1.c1', '56.n1.c2', '56.n1.f1', '56.n1.f2'], 'contains': ['224.c1.c1', '784.b1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [56, 464], 'label': '1568.467.112.f1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.f1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763424
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['28.a1.a1', '28.b1.a1', '28.e1.a1', '28.e1.b1', '28.e1.c1', '98.a1.a1', '98.b1.a1', '98.c1.a1'], 'contains': ['392.a1.a1', '392.b1.a1', '392.c1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84, 784], 'label': '1568.467.196.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '196.a1.a1', 'normal_contained_in': ['28.a1.a1', '28.b1.a1'], 'normal_contains': ['392.a1.a1', '392.c1.a1', '392.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '196.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763425
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.f1.a1', '28.g1.a1', '98.a1.a1'], 'contains': ['392.a1.a1', '392.d1.a1', '392.d1.b1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1, 784], 'label': '1568.467.196.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '196.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763426
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '196.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.h1.a1', '28.i1.a1', '28.j1.a1', '28.j1.a2', '28.j1.b1', '28.j1.b2', '28.j1.c1', '28.j1.c2', '98.b1.a1'], 'contains': ['392.a1.a1', '392.e1.a1', '392.e1.b1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 98, 'diagramx': None, 'generators': [3, 784], 'label': '1568.467.196.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '98.b1.a1', 'old_label': '196.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763427
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.k1.a1', '28.l1.a1', '98.a1.a1'], 'contains': ['392.b1.a1', '392.d1.a1', '392.d1.b1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1, 812], 'label': '1568.467.196.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '196.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763428
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.m1.a1', '28.n1.a1', '28.o1.a1', '28.o1.a2', '28.o1.b1', '28.o1.b2', '28.o1.c1', '28.o1.c2', '98.b1.a1'], 'contains': ['392.b1.a1', '392.e1.a1', '392.e1.b1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 98, 'diagramx': None, 'generators': [3, 812], 'label': '1568.467.196.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '98.b1.a1', 'old_label': '196.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763429
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.a1', '28.p1.a1', '98.a1.a1', '98.d1.a1', '98.d1.b1'], 'contains': ['392.c1.a1', '392.d1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 84], 'label': '1568.467.196.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '196.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763430
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.c1.b1', '28.p1.b1', '98.a1.a1', '98.d1.c1', '98.d1.d1'], 'contains': ['392.c1.a1', '392.d1.b1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [841, 84], 'label': '1568.467.196.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '196.f1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.f1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763431
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.q1.a1', '28.r1.a1', '28.s1.a1', '28.s1.b1', '28.s1.c1', '98.b1.a1', '98.d1.a1', '98.d1.c1'], 'contains': ['392.c1.a1', '392.e1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': None, 'generators': [115, 84], 'label': '1568.467.196.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '196.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763432
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.q1.b1', '28.r1.b1', '28.s1.d1', '28.s1.e1', '28.s1.f1', '98.b1.a1', '98.d1.b1', '98.d1.d1'], 'contains': ['392.c1.a1', '392.e1.b1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': None, 'generators': [3, 84], 'label': '1568.467.196.g1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '196.g1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.g1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763433
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '28.f1.a1', '28.g1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 224, 56, 784, 16], 'label': '1568.467.4.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763434
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '14.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.d1.a1', '28.t1.a1', '98.c1.a1', '98.d1.b1', '98.d1.c1'], 'contains': ['392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [14], 'label': '1568.467.196.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '196.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763435
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '196.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '14.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['28.d1.b1', '28.t1.b1', '98.c1.a1', '98.d1.a1', '98.d1.d1'], 'contains': ['392.c1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [126], 'label': '1568.467.196.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '196.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '196.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763436
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '224.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': ['7.b1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.a1.a1', '112.a1.b1', '112.c1.a1'], 'contains': ['1568.a1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [224], 'label': '1568.467.224.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '224.a1.a1', 'normal_contained_in': ['32.a1.a1', '112.a1.b1', '112.a1.a1', '112.c1.a1'], 'normal_contains': ['1568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763437
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '224.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.b1.a1', '112.b1.b1', '112.d1.a1'], 'contains': ['1568.a1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16], 'label': '1568.467.224.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '224.b1.a1', 'normal_contained_in': ['32.a1.a1', '112.b1.b1', '112.b1.a1', '112.d1.a1'], 'normal_contains': ['1568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763438
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.e1.a1', '112.e1.d1', '112.f1.a1'], 'contains': ['1568.a1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [688], 'label': '1568.467.224.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '224.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763439
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.e1.b1', '112.e1.e1', '112.f1.b1'], 'contains': ['1568.a1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [240], 'label': '1568.467.224.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '224.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763440
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.e1.c1', '112.e1.f1', '112.f1.c1'], 'contains': ['1568.a1.a1'], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [464], 'label': '1568.467.224.c1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '224.c1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763441
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '392.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['56.a1.a1', '56.b1.a1', '56.g1.a1', '56.g1.b1', '56.g1.c1', '196.a1.a1', '196.b1.a1', '196.c1.a1'], 'contains': ['784.a1.a1', '784.a1.b1', '784.b1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [56, 784], 'label': '1568.467.392.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '392.a1.a1', 'normal_contained_in': ['56.a1.a1', '56.b1.a1', '196.a1.a1'], 'normal_contains': ['784.a1.b1', '784.a1.a1', '784.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '392.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763442
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '392.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['56.c1.a1', '56.d1.a1', '56.h1.a1', '56.h1.b1', '56.h1.c1', '196.a1.a1', '196.d1.a1', '196.e1.a1'], 'contains': ['784.b1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [812], 'label': '1568.467.392.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '392.b1.a1', 'normal_contained_in': ['56.c1.a1', '56.d1.a1', '196.a1.a1'], 'normal_contains': ['784.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '392.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763443
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '392.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['56.e1.a1', '56.f1.a1', '56.i1.a1', '56.i1.b1', '56.i1.c1', '196.a1.a1', '196.f1.a1', '196.f1.b1', '196.g1.a1', '196.g1.b1', '196.h1.a1', '196.h1.b1'], 'contains': ['784.b1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84], 'label': '1568.467.392.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '392.c1.a1', 'normal_contained_in': ['56.e1.a1', '56.f1.a1', '196.a1.a1'], 'normal_contains': ['784.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '392.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763444
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '8.e1.b1', '28.h1.a1', '28.i1.a1', '28.j1.a1', '28.j1.a2', '28.j1.b1', '28.j1.b2', '28.j1.c1', '28.j1.c2'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 56, 16, 784, 224], 'label': '1568.467.4.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763445
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '392.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.j1.a1', '56.k1.a1', '196.b1.a1', '196.d1.a1', '196.f1.a1'], 'contains': ['784.b1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1], 'label': '1568.467.392.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '392.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763446
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '392.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.j1.b1', '56.k1.b1', '196.b1.a1', '196.d1.a1', '196.f1.b1'], 'contains': ['784.b1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [841], 'label': '1568.467.392.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '392.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763447
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '392.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '196.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.l1.a1', '56.m1.a1', '56.n1.a1', '56.n1.a2', '56.n1.b1', '56.n1.b2', '56.n1.c1', '56.n1.c2', '196.c1.a1', '196.e1.a1', '196.g1.a1'], 'contains': ['784.b1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 98, 'diagramx': None, 'generators': [115], 'label': '1568.467.392.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '98.b1.a1', 'old_label': '392.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763448
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '392.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '196.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['56.l1.b1', '56.m1.b1', '56.n1.d1', '56.n1.d2', '56.n1.e1', '56.n1.e2', '56.n1.f1', '56.n1.f2', '196.c1.a1', '196.e1.a1', '196.g1.b1'], 'contains': ['784.b1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 98, 'diagramx': None, 'generators': [3], 'label': '1568.467.392.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '98.b1.a1', 'old_label': '392.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '392.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763449
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '784.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['2.d1.b1', '2.d1.c1', '2.d1.a1', '2.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['112.a1.a1', '112.b1.a1', '112.e1.a1', '112.e1.b1', '112.e1.c1', '392.a1.a1'], 'contains': ['1568.a1.a1'], 'core': '784.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [784], 'label': '1568.467.784.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '784.a1.a1', 'normal_contained_in': ['112.a1.a1', '112.b1.a1', '392.a1.a1'], 'normal_contains': ['1568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '784.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '784.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763450
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '784.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['2.d1.b1', '2.d1.c1', '2.d1.a1', '2.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['112.a1.b1', '112.b1.b1', '112.e1.d1', '112.e1.e1', '112.e1.f1', '392.a1.a1'], 'contains': ['1568.a1.a1'], 'core': '784.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [840], 'label': '1568.467.784.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '784.a1.b1', 'normal_contained_in': ['112.a1.b1', '112.b1.b1', '392.a1.a1'], 'normal_contains': ['1568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '784.a1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '784.a1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763451
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '784.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['112.c1.a1', '112.d1.a1', '112.f1.a1', '112.f1.b1', '112.f1.c1', '392.a1.a1', '392.b1.a1', '392.c1.a1', '392.d1.a1', '392.d1.b1', '392.e1.a1', '392.e1.b1'], 'contains': ['1568.a1.a1'], 'core': '784.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [56], 'label': '1568.467.784.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '784.b1.a1', 'normal_contained_in': ['112.c1.a1', '112.d1.a1', '392.a1.a1', '392.c1.a1', '392.b1.a1'], 'normal_contains': ['1568.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '784.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '784.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763452
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '1568.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['224.a1.a1', '224.b1.a1', '224.c1.a1', '224.c1.b1', '224.c1.c1', '784.a1.a1', '784.a1.b1', '784.b1.a1'], 'contains': [], 'core': '1568.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '1568.467.1568.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1568.a1.a1', 'normal_contained_in': ['224.a1.a1', '224.b1.a1', '784.a1.b1', '784.a1.a1', '784.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1568.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1568.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763453
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.d1.b1', '28.k1.a1', '28.l1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 224, 56, 812, 16], 'label': '1568.467.4.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763454
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '8.e1.a1', '8.e1.b1', '28.m1.a1', '28.n1.a1', '28.o1.a1', '28.o1.a2', '28.o1.b1', '28.o1.b2', '28.o1.c1', '28.o1.c2'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 56, 16, 812, 224], 'label': '1568.467.4.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763455
    {'ambient': '1568.467', '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': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.e1.a1', '4.g1.a1', '14.a1.a1', '14.c1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 16, 784, 224, 84, 56], 'label': '1568.467.2.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', '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: 76763456
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.b1.a1', '14.c1.a1', '14.d1.a1', '14.h1.a1', '14.h1.b1', '14.h1.c1', '14.h1.d1', '49.a1.a1'], 'core': '14.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 224, 784, 84, 14, 56], 'label': '1568.467.7.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763457
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '7.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.e1.a1', '14.g1.a1', '14.i1.a1', '14.i1.b1', '14.i1.c1', '14.i1.d1', '49.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 16, 784, 84, 14, 56], 'label': '1568.467.7.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '7.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763458
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.e1.a1', '4.f1.a1'], 'contains': ['16.a1.a1', '16.a1.b1', '16.b1.a1', '56.a1.a1', '56.b1.a1', '56.g1.a1', '56.g1.b1', '56.g1.c1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [56, 16, 224, 784], 'label': '1568.467.8.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.b1', '16.a1.a1', '16.b1.a1', '56.a1.a1', '56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763459
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.g1.a1', '4.h1.a1'], 'contains': ['16.b1.a1', '56.c1.a1', '56.d1.a1', '56.h1.a1', '56.h1.b1', '56.h1.c1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [812, 224, 56, 16], 'label': '1568.467.8.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.b1.a1', '56.c1.a1', '56.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763460
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.d1.b1'], 'contains': ['16.b1.a1', '56.e1.a1', '56.f1.a1', '56.i1.a1', '56.i1.b1', '56.i1.c1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84, 224, 56, 16], 'label': '1568.467.8.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.c1.b1', '4.d1.a1', '4.d1.b1'], 'normal_contains': ['16.b1.a1', '56.e1.a1', '56.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763461
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.e1.a1', '4.g1.a1'], 'contains': ['16.b1.a1', '56.j1.a1', '56.k1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 56, 16, 224], 'label': '1568.467.8.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763462
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '4.e1.a1', '4.g1.a1'], 'contains': ['16.b1.a1', '56.j1.b1', '56.k1.b1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [841, 56, 16, 224], 'label': '1568.467.8.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763463
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.f1.a1', '4.h1.a1'], 'contains': ['16.b1.a1', '56.l1.a1', '56.m1.a1', '56.n1.a1', '56.n1.a2', '56.n1.b1', '56.n1.b2', '56.n1.c1', '56.n1.c2'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [115, 16, 224, 56], 'label': '1568.467.8.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763464
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '4.f1.a1', '4.h1.a1'], 'contains': ['16.b1.a1', '56.l1.b1', '56.m1.b1', '56.n1.d1', '56.n1.d2', '56.n1.e1', '56.n1.e2', '56.n1.f1', '56.n1.f2'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 16, 224, 56], 'label': '1568.467.8.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763465
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.b1.a1'], 'contains': ['28.b1.a1', '28.c1.a1', '28.c1.b1', '28.g1.a1', '28.l1.a1', '98.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 784, 56, 84, 16], 'label': '1568.467.14.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.b1.a1', '28.c1.a1', '28.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763466
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.c1.a1', '4.c1.b1', '4.f1.a1', '4.h1.a1', '14.d1.a1', '14.e1.a1', '14.f1.a1', '14.f1.b1', '14.f1.c1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 224, 784, 56, 84, 16], 'label': '1568.467.2.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.c1.a1', '4.c1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763467
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.d1.a1', '28.d1.b1', '98.c1.a1'], 'core': '14.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14, 28, 56, 784, 224], 'label': '1568.467.14.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.b1.a1', 'normal_contained_in': ['2.c1.a1'], 'normal_contains': ['28.a1.a1', '28.d1.a1', '28.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '14.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763468
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.f1.a1', '28.k1.a1', '28.p1.a1', '28.p1.b1', '98.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 784, 224, 84, 56], 'label': '1568.467.14.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763469
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.h1.a1', '28.m1.a1', '28.q1.a1', '28.q1.b1', '98.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [3, 784, 56, 84, 224], 'label': '1568.467.14.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763470
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.b1.a1'], 'contains': ['28.b1.a1', '28.i1.a1', '28.n1.a1', '28.r1.a1', '28.r1.b1', '98.b1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [3, 784, 56, 84, 16], 'label': '1568.467.14.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763471
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['28.e1.a1', '28.j1.a1', '28.j1.a2', '28.o1.a1', '28.o1.a2', '28.s1.a1', '28.s1.d1', '98.b1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 784, 56, 84, 688], 'label': '1568.467.14.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '14.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763472
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['28.e1.b1', '28.j1.b1', '28.j1.b2', '28.o1.b1', '28.o1.b2', '28.s1.b1', '28.s1.e1', '98.b1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 784, 56, 84, 240], 'label': '1568.467.14.f1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '14.f1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763473
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['28.e1.c1', '28.j1.c1', '28.j1.c2', '28.o1.c1', '28.o1.c2', '28.s1.c1', '28.s1.f1', '98.b1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 784, 56, 84, 464], 'label': '1568.467.14.f1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '14.f1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763474
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '14.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.b1.a1'], 'contains': ['28.b1.a1', '28.t1.a1', '28.t1.b1', '98.c1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [14, 16, 28, 784, 56], 'label': '1568.467.14.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763475
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '7.a1.a1'], 'contains': ['28.d1.b1', '28.p1.a1', '28.q1.a1', '98.d1.a1'], 'core': '28.d1.b1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 84, 56, 126, 224], 'label': '1568.467.14.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763476
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '7.a1.a1'], 'contains': ['28.d1.a1', '28.p1.a1', '28.q1.b1', '98.d1.b1'], 'core': '28.d1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 84, 56, 14, 224], 'label': '1568.467.14.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763477
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '4.d1.b1', '14.b1.a1', '14.g1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14, 224, 16, 28, 784, 56], 'label': '1568.467.2.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.d1.a1', '4.d1.b1', '14.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763478
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.c1', '7.a1.a1'], 'contains': ['28.d1.a1', '28.p1.b1', '28.q1.a1', '98.d1.c1'], 'core': '28.d1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [841, 84, 56, 14, 224], 'label': '1568.467.14.h1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.h1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.h1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763479
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.d1', '7.a1.a1'], 'contains': ['28.d1.b1', '28.p1.b1', '28.q1.b1', '98.d1.d1'], 'core': '28.d1.b1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [841, 84, 56, 126, 224], 'label': '1568.467.14.h1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.h1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.h1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763480
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '7.b1.a1'], 'contains': ['28.c1.a1', '28.r1.a1', '28.t1.b1', '98.d1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 84, 56, 126, 16], 'label': '1568.467.14.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763481
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.b1', '7.b1.a1'], 'contains': ['28.c1.a1', '28.r1.b1', '28.t1.a1', '98.d1.b1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 84, 56, 14, 16], 'label': '1568.467.14.i1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.i1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.i1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763482
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.c1', '7.b1.a1'], 'contains': ['28.c1.b1', '28.r1.a1', '28.t1.a1', '98.d1.c1'], 'core': '28.c1.b1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [841, 84, 56, 14, 16], 'label': '1568.467.14.i1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.i1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.i1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763483
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '14.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.d1', '7.b1.a1'], 'contains': ['28.c1.b1', '28.r1.b1', '28.t1.b1', '98.d1.d1'], 'core': '28.c1.b1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [841, 84, 56, 126, 16], 'label': '1568.467.14.i1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '14.i1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.i1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763484
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': ['98.d1.b1', '98.d1.c1', '98.d1.a1', '98.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '112.a1.a1', '112.b1.a1', '112.e1.a1', '112.e1.b1', '112.e1.c1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [784, 224, 16], 'label': '1568.467.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '112.a1.a1', '112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763485
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': ['98.d1.b1', '98.d1.c1', '98.d1.a1', '98.d1.d1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '112.a1.b1', '112.b1.b1', '112.e1.d1', '112.e1.e1', '112.e1.f1'], 'core': '16.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [840, 224, 16], 'label': '1568.467.16.a1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.b1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '112.a1.b1', '112.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763486
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.e1.b1'], 'contains': ['32.a1.a1', '112.c1.a1', '112.d1.a1', '112.f1.a1', '112.f1.b1', '112.f1.c1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [56, 224, 16], 'label': '1568.467.16.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.c1.a1', '8.b1.a1'], 'normal_contains': ['32.a1.a1', '112.c1.a1', '112.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763487
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.b1.a1', '14.c1.a1', '14.d1.a1'], 'contains': ['56.a1.a1', '56.c1.a1', '56.e1.a1', '196.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84, 224, 56, 784], 'label': '1568.467.28.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.b1.a1'], 'normal_contains': ['56.a1.a1', '56.e1.a1', '56.c1.a1', '196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763534
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '14.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '14.g1.a1', '14.i1.a1', '14.i1.d1'], 'contains': ['56.f1.a1', '196.h1.b1'], 'core': '56.f1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [126, 28, 56, 16], 'label': '1568.467.28.t1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '28.t1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.t1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763488
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': ['784.a1.a1', '784.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.a1', '4.d1.b1', '14.h1.a1', '14.i1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 224, 84, 56, 126, 16], 'label': '1568.467.2.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.a1', '4.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763489
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1', '14.e1.a1', '14.g1.a1'], 'contains': ['56.b1.a1', '56.d1.a1', '56.f1.a1', '196.a1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84, 16, 56, 784], 'label': '1568.467.28.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.b1.a1', '56.f1.a1', '56.d1.a1', '196.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763490
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.a1.a1', '14.i1.a1', '14.i1.b1'], 'contains': ['56.f1.a1', '56.k1.a1', '196.f1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 56, 16, 84], 'label': '1568.467.28.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1.a1', 'normal_contained_in': ['4.b1.a1', '14.a1.a1'], 'normal_contains': ['56.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763491
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.a1.a1', '14.i1.c1', '14.i1.d1'], 'contains': ['56.f1.a1', '56.k1.b1', '196.f1.b1'], 'core': '28.c1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [841, 56, 16, 84], 'label': '1568.467.28.c1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.c1.b1', 'normal_contained_in': ['4.b1.b1', '14.a1.a1'], 'normal_contains': ['56.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763492
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.b1.a1', '14.h1.b1', '14.h1.c1'], 'contains': ['56.e1.a1', '196.h1.a1'], 'core': '28.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14, 56, 224, 28], 'label': '1568.467.28.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.d1.a1', 'normal_contained_in': ['4.d1.a1', '14.b1.a1'], 'normal_contains': ['56.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763493
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '14.b1.a1', '14.h1.a1', '14.h1.d1'], 'contains': ['56.e1.a1', '196.h1.b1'], 'core': '28.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [126, 56, 224, 28], 'label': '1568.467.28.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '28.d1.b1', 'normal_contained_in': ['4.d1.b1', '14.b1.a1'], 'normal_contains': ['56.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763494
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.f1.a1'], 'contains': ['56.g1.a1', '56.h1.a1', '56.i1.a1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84, 688, 56, 784], 'label': '1568.467.28.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763495
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.f1.b1'], 'contains': ['56.g1.b1', '56.h1.b1', '56.i1.b1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84, 240, 56, 784], 'label': '1568.467.28.e1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.e1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763496
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.f1.c1'], 'contains': ['56.g1.c1', '56.h1.c1', '56.i1.c1', '196.a1.a1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [84, 464, 56, 784], 'label': '1568.467.28.e1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '28.e1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763497
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '28.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.c1.a1'], 'contains': ['56.a1.a1', '56.j1.a1', '56.j1.b1', '196.b1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1, 224, 56, 784], 'label': '1568.467.28.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '28.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763498
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.a1.a1'], 'contains': ['56.b1.a1', '56.k1.a1', '56.k1.b1', '196.b1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 56, 16, 784], 'label': '1568.467.28.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763499
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': ['784.a1.a1', '784.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.c1.b1', '4.d1.a1', '14.h1.b1', '14.i1.b1'], 'core': '2.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 224, 84, 56, 14, 16], 'label': '1568.467.2.d1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.c1.b1', '4.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763500
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.d1.a1'], 'contains': ['56.a1.a1', '56.l1.a1', '56.l1.b1', '196.c1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 224, 784], 'label': '1568.467.28.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.d1.a1', 'old_label': '28.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763501
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.e1.a1'], 'contains': ['56.b1.a1', '56.m1.a1', '56.m1.b1', '196.c1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 16, 784], 'label': '1568.467.28.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '28.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763502
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.f1.a1'], 'contains': ['56.g1.a1', '56.n1.a1', '56.n1.d1', '196.c1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 688, 784], 'label': '1568.467.28.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '28.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763503
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.f1.a1'], 'contains': ['56.g1.a1', '56.n1.a2', '56.n1.d2', '196.c1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 912, 784], 'label': '1568.467.28.j1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '28.j1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763504
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.f1.b1'], 'contains': ['56.g1.b1', '56.n1.b1', '56.n1.e1', '196.c1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 240, 784], 'label': '1568.467.28.j1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '28.j1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763505
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.f1.b1'], 'contains': ['56.g1.b1', '56.n1.b2', '56.n1.e2', '196.c1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 1360, 784], 'label': '1568.467.28.j1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '28.j1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763506
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.f1.c1'], 'contains': ['56.g1.c1', '56.n1.c1', '56.n1.f1', '196.c1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 464, 784], 'label': '1568.467.28.j1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '28.j1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763507
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.f1.c1'], 'contains': ['56.g1.c1', '56.n1.c2', '56.n1.f2', '196.c1.a1'], 'core': '392.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 1136, 784], 'label': '1568.467.28.j1.c2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '28.j1.c2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.c2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763508
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '14.c1.a1'], 'contains': ['56.c1.a1', '56.j1.a1', '56.j1.b1', '196.d1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [1, 224, 56, 812], 'label': '1568.467.28.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '28.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763509
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '14.a1.a1'], 'contains': ['56.d1.a1', '56.k1.a1', '56.k1.b1', '196.d1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 56, 16, 812], 'label': '1568.467.28.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763510
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': ['784.a1.a1', '784.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.b1', '4.c1.a1', '4.d1.a1', '14.h1.c1', '14.i1.c1'], 'core': '2.d1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [841, 224, 84, 56, 14, 16], 'label': '1568.467.2.d1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.c1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.b1', '4.c1.a1', '4.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763511
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.d1.a1'], 'contains': ['56.c1.a1', '56.l1.a1', '56.l1.b1', '196.e1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 224, 812], 'label': '1568.467.28.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.d1.a1', 'old_label': '28.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763512
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.e1.a1'], 'contains': ['56.d1.a1', '56.m1.a1', '56.m1.b1', '196.e1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 16, 812], 'label': '1568.467.28.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.e1.a1', 'old_label': '28.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763513
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.f1.a1'], 'contains': ['56.h1.a1', '56.n1.a1', '56.n1.d2', '196.e1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 912, 812], 'label': '1568.467.28.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '28.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763514
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.f1.a1'], 'contains': ['56.h1.a1', '56.n1.a2', '56.n1.d1', '196.e1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 688, 812], 'label': '1568.467.28.o1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '28.o1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.o1.a2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763515
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.f1.b1'], 'contains': ['56.h1.b1', '56.n1.b1', '56.n1.e2', '196.e1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 1360, 812], 'label': '1568.467.28.o1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '28.o1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.o1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763516
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.f1.b1'], 'contains': ['56.h1.b1', '56.n1.b2', '56.n1.e1', '196.e1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 240, 812], 'label': '1568.467.28.o1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '28.o1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.o1.b2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763517
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.f1.c1'], 'contains': ['56.h1.c1', '56.n1.c1', '56.n1.f2', '196.e1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 1136, 812], 'label': '1568.467.28.o1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '28.o1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.o1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763518
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.f1.c1'], 'contains': ['56.h1.c1', '56.n1.c2', '56.n1.f1', '196.e1.a1'], 'core': '392.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 464, 812], 'label': '1568.467.28.o1.c2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '28.o1.c2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.o1.c2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763519
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.c1.a1', '14.h1.a1', '14.h1.b1'], 'contains': ['56.e1.a1', '56.j1.a1', '196.f1.a1'], 'core': '56.e1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1, 224, 56, 84], 'label': '1568.467.28.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763520
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '56.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '14.c1.a1', '14.h1.c1', '14.h1.d1'], 'contains': ['56.e1.a1', '56.j1.b1', '196.f1.b1'], 'core': '56.e1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [841, 224, 56, 84], 'label': '1568.467.28.p1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.p1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.p1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763521
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': ['784.a1.a1', '784.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.b1', '4.c1.b1', '4.d1.b1', '14.h1.d1', '14.i1.d1'], 'core': '2.d1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [841, 224, 84, 56, 126, 16], 'label': '1568.467.2.d1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.d1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.b1', '4.c1.b1', '4.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763522
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.d1.a1', '14.h1.a1', '14.h1.c1'], 'contains': ['56.e1.a1', '56.l1.a1', '196.g1.a1'], 'core': '56.e1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [115, 56, 224, 84], 'label': '1568.467.28.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763523
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '14.d1.a1', '14.h1.b1', '14.h1.d1'], 'contains': ['56.e1.a1', '56.l1.b1', '196.g1.b1'], 'core': '56.e1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [3, 56, 224, 84], 'label': '1568.467.28.q1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.q1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.q1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763524
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.e1.a1', '14.i1.a1', '14.i1.c1'], 'contains': ['56.f1.a1', '56.m1.a1', '196.g1.a1'], 'core': '56.f1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [115, 56, 16, 84], 'label': '1568.467.28.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '28.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763525
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '14.e1.a1', '14.i1.b1', '14.i1.d1'], 'contains': ['56.f1.a1', '56.m1.b1', '196.g1.b1'], 'core': '56.f1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [3, 56, 16, 84], 'label': '1568.467.28.r1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '28.r1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.r1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763526
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.f1.a1'], 'contains': ['56.i1.a1', '56.n1.a1', '56.n1.a2', '196.g1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 56, 688, 84], 'label': '1568.467.28.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '28.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763527
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.f1.b1'], 'contains': ['56.i1.b1', '56.n1.b1', '56.n1.b2', '196.g1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 56, 240, 84], 'label': '1568.467.28.s1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '28.s1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.s1.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763528
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.f1.c1'], 'contains': ['56.i1.c1', '56.n1.c1', '56.n1.c2', '196.g1.a1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [115, 56, 464, 84], 'label': '1568.467.28.s1.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '28.s1.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.s1.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763529
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '14.f1.a1'], 'contains': ['56.i1.a1', '56.n1.d1', '56.n1.d2', '196.g1.b1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 688, 84], 'label': '1568.467.28.s1.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.a1', 'old_label': '28.s1.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.s1.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763530
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '14.f1.b1'], 'contains': ['56.i1.b1', '56.n1.e1', '56.n1.e2', '196.g1.b1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 240, 84], 'label': '1568.467.28.s1.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.b1', 'old_label': '28.s1.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.s1.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763531
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '14.f1.c1'], 'contains': ['56.i1.c1', '56.n1.f1', '56.n1.f2', '196.g1.b1'], 'core': '392.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': None, 'generators': [3, 56, 464, 84], 'label': '1568.467.28.s1.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.f1.c1', 'old_label': '28.s1.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.s1.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763532
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '28.a1.a1', '28.b1.a1', '28.e1.a1', '28.e1.b1', '28.e1.c1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84, 16, 224, 784, 56], 'label': '1568.467.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.c1.a1', '8.b1.a1', '28.a1.a1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763533
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '28.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '14.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.g1.a1', '14.i1.b1', '14.i1.c1'], 'contains': ['56.f1.a1', '196.h1.a1'], 'core': '56.f1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [14, 28, 56, 16], 'label': '1568.467.28.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.b1.a1', 'old_label': '28.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763535
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.a1.b1', '16.b1.a1'], 'contains': ['224.a1.a1', '224.b1.a1', '224.c1.a1', '224.c1.b1', '224.c1.c1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [16, 224], 'label': '1568.467.32.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.b1', '16.a1.a1', '16.b1.a1'], 'normal_contains': ['224.a1.a1', '224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763536
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '49.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '392.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['7.a1.a1', '7.b1.a1'], 'contains': ['98.a1.a1', '98.b1.a1', '98.c1.a1', '98.d1.a1', '98.d1.b1', '98.d1.c1', '98.d1.d1'], 'core': '196.a1.a1', 'coset_action_label': None, 'count': 49, 'diagramx': None, 'generators': [1, 14, 784], 'label': '1568.467.49.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '49.a1.a1', 'old_label': '49.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '49.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763537
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.f1.a1', '28.h1.a1'], 'contains': ['112.a1.a1', '112.a1.b1', '112.c1.a1', '392.a1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [56, 224, 784], 'label': '1568.467.56.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.b1', '112.a1.a1', '112.c1.a1', '392.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763538
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.b1.a1', '28.g1.a1', '28.i1.a1'], 'contains': ['112.b1.a1', '112.b1.b1', '112.d1.a1', '392.a1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [56, 16, 784], 'label': '1568.467.56.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.b1.a1', 'normal_contained_in': ['8.a1.a1', '28.b1.a1'], 'normal_contains': ['112.b1.b1', '112.b1.a1', '112.d1.a1', '392.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763539
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.a1.a1', '28.k1.a1', '28.m1.a1'], 'contains': ['112.c1.a1', '392.b1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [812, 56, 224], 'label': '1568.467.56.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.c1.a1', 'normal_contained_in': ['8.b1.a1', '28.a1.a1'], 'normal_contains': ['112.c1.a1', '392.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763540
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.b1.a1', '28.l1.a1', '28.n1.a1'], 'contains': ['112.d1.a1', '392.b1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [812, 56, 16], 'label': '1568.467.56.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.d1.a1', 'normal_contained_in': ['8.b1.a1', '28.b1.a1'], 'normal_contains': ['112.d1.a1', '392.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763541
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.a1.a1', '28.d1.a1', '28.d1.b1', '28.p1.a1', '28.p1.b1', '28.q1.a1', '28.q1.b1'], 'contains': ['112.c1.a1', '392.c1.a1'], 'core': '56.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84, 56, 224], 'label': '1568.467.56.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.e1.a1', 'normal_contained_in': ['8.c1.a1', '28.a1.a1', '28.d1.a1', '28.d1.b1'], 'normal_contains': ['112.c1.a1', '392.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 76763542
    {'ambient': '1568.467', 'aut_centralizer_order': None, 'aut_label': '56.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.b1.a1', '28.c1.a1', '28.c1.b1', '28.r1.a1', '28.r1.b1', '28.t1.a1', '28.t1.b1'], 'contains': ['112.d1.a1', '392.c1.a1'], 'core': '56.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [84, 56, 16], 'label': '1568.467.56.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '56.f1.a1', 'normal_contained_in': ['8.c1.a1', '28.b1.a1', '28.c1.a1', '28.c1.b1'], 'normal_contains': ['112.d1.a1', '392.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}