LMFDB - Abstract group data

Formats: - HTML - YAML - JSON - 2025-10-03T01:37:55.290222

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

gps_groups • Show schema

{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '128.2136', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 168, 'aut_gen_orders': [2, 2, 2, 2, 4, 4, 2, 2, 2, 2], 'aut_gens': [[1, 2, 4, 8], [70, 2, 67, 79], [1, 2, 4, 15], [1, 2, 4, 72], [1, 67, 69, 8], [1, 2, 4, 24], [1, 2, 4, 104], [65, 2, 68, 72], [1, 2, 4, 77], [1, 71, 4, 77], [1, 2, 4, 73]], 'aut_group': '86016.bk', 'aut_hash': 3270269662069206077, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 86016, 'aut_permdeg': 34, 'aut_perms': [144837903429120095961757595345979273720, 1920833431893351976830076735493046, 18684210223057525662467576180300790966, 118064606089713125444838326400371758080, 8980437409661352453257127716943575047, 52103747306013426605553945216122908080, 144840469689942105726824542131498651774, 18682617177822394450571338564155941046, 100023423486098033691920128413066110934, 18684209003500424626973511562010926080], 'aut_phi_ratio': 1344.0, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 14, 1], [4, 1, 2, 1], [4, 1, 14, 1], [8, 1, 4, 1], [8, 1, 28, 1], [16, 1, 64, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_4.C_2^7:\\GL(3,2)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 168, 'autcent_group': '86016.bk', 'autcent_hash': 3270269662069206077, 'autcent_nilpotent': False, 'autcent_order': 86016, 'autcent_solvable': False, 'autcent_split': True, 'autcent_supersolvable': False, 'autcent_tex': 'C_4.C_2^7:\\GL(3,2)', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 15], [4, 1, 16], [8, 1, 32], [16, 1, 64]], 'center_label': '128.2136', 'center_order': 128, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 2136, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['16.1', 1], ['2.1', 3]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 15], [4, 1, 2, 8], [8, 1, 4, 8], [16, 1, 8, 8]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 960, 'exponent': 16, 'exponents_of_order': [7], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.1', 'frattini_quotient': '16.14', 'hash': 2136, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1, 1, 1], 'inner_gens': [[1, 2, 4, 8], [1, 2, 4, 8], [1, 2, 4, 8], [1, 2, 4, 8]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 128]], 'label': '128.2136', 'linC_count': None, 'linC_degree': 4, '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': 'C2^3*C16', 'ngens': 4, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 8, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 128, 'number_divisions': 40, 'number_normal_subgroups': 220, 'number_subgroup_autclasses': 26, 'number_subgroup_classes': 220, 'number_subgroups': 220, 'old_label': None, 'order': 128, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 15], [4, 16], [8, 32], [16, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 168, 'outer_gen_orders': [2, 2, 2, 2, 4, 4, 2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[70, 2, 67, 79], [1, 2, 4, 15], [1, 2, 4, 72], [1, 67, 69, 8], [1, 2, 4, 24], [1, 2, 4, 104], [65, 2, 68, 72], [1, 2, 4, 77], [1, 71, 4, 77], [1, 2, 4, 73]], 'outer_group': '86016.bk', 'outer_hash': 3270269662069206077, 'outer_nilpotent': False, 'outer_order': 86016, 'outer_permdeg': 34, 'outer_perms': [144837903429120095961757595345979273720, 1920833431893351976830076735493046, 18684210223057525662467576180300790966, 118064606089713125444838326400371758080, 8980437409661352453257127716943575047, 52103747306013426605553945216122908080, 144840469689942105726824542131498651774, 18682617177822394450571338564155941046, 100023423486098033691920128413066110934, 18684209003500424626973511562010926080], 'outer_solvable': False, 'outer_supersolvable': False, 'outer_tex': 'C_4.C_2^7:\\GL(3,2)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 22, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 16], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 8], [4, 8], [8, 8]], 'representations': {'PC': {'code': 2233919864888, 'gens': [1, 2, 3, 4], 'pres': [7, -2, 2, 2, 2, -2, -2, -2, 80, 102, 124]}, 'GLZN': {'d': 2, 'p': 28, 'gens': [28573, 562037, 285389, 22345, 30431, 111609, 337745]}, 'GLZq': {'d': 2, 'q': 32, 'gens': [102991, 565385, 33041, 1032719, 33281, 557073, 573969]}, 'Perm': {'d': 22, 'gens': [20916435456000, 121645100408832000, 355687428096000, 51090942171709440000, 9703614452976, 4097506710982, 1313941673647]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 16], 'solvability_type': 2, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^3\\times C_{16}', 'transitive_degree': 128, 'wreath_data': None, 'wreath_product': False}

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

gps_conj_classes • Show schema

id: 43426454
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 2136, 'group_order': 128, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 0, 'size': 1}
id: 43426494
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 2136, 'group_order': 128, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 4, 'size': 1}
id: 43426505
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 2136, 'group_order': 128, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 2, 'size': 1}
id: 43426516
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 2136, 'group_order': 128, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 1, 'size': 1}
id: 43426527
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 2136, 'group_order': 128, 'label': '2D', 'order': 2, 'powers': [1], 'representative': 68, 'size': 1}
id: 43426538
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 2136, 'group_order': 128, 'label': '2E', 'order': 2, 'powers': [1], 'representative': 66, 'size': 1}
id: 43426549
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 2136, 'group_order': 128, 'label': '2F', 'order': 2, 'powers': [1], 'representative': 6, 'size': 1}
id: 43426560
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 2136, 'group_order': 128, 'label': '2G', 'order': 2, 'powers': [1], 'representative': 65, 'size': 1}
id: 43426571
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 2136, 'group_order': 128, 'label': '2H', 'order': 2, 'powers': [1], 'representative': 5, 'size': 1}
id: 43426455
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 2136, 'group_order': 128, 'label': '2I', 'order': 2, 'powers': [1], 'representative': 3, 'size': 1}
id: 43426466
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 2136, 'group_order': 128, 'label': '2J', 'order': 2, 'powers': [1], 'representative': 70, 'size': 1}
id: 43426477
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 2136, 'group_order': 128, 'label': '2K', 'order': 2, 'powers': [1], 'representative': 69, 'size': 1}
id: 43426487
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 2136, 'group_order': 128, 'label': '2L', 'order': 2, 'powers': [1], 'representative': 67, 'size': 1}
id: 43426488
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 2136, 'group_order': 128, 'label': '2M', 'order': 2, 'powers': [1], 'representative': 7, 'size': 1}
id: 43426489
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 2136, 'group_order': 128, 'label': '2N', 'order': 2, 'powers': [1], 'representative': 71, 'size': 1}
id: 43426490
{'aut_label': '2O', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 2136, 'group_order': 128, 'label': '2O', 'order': 2, 'powers': [1], 'representative': 64, 'size': 1}
id: 43426491
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 2136, 'group_order': 128, 'label': '4A1', 'order': 4, 'powers': [16], 'representative': 36, 'size': 1}
id: 43426492
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 2136, 'group_order': 128, 'label': '4A-1', 'order': 4, 'powers': [16], 'representative': 100, 'size': 1}
id: 43426493
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 2136, 'group_order': 128, 'label': '4B1', 'order': 4, 'powers': [16], 'representative': 34, 'size': 1}
id: 43426495
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 2136, 'group_order': 128, 'label': '4B-1', 'order': 4, 'powers': [16], 'representative': 98, 'size': 1}
id: 43426496
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 2136, 'group_order': 128, 'label': '4C1', 'order': 4, 'powers': [16], 'representative': 33, 'size': 1}
id: 43426497
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 2136, 'group_order': 128, 'label': '4C-1', 'order': 4, 'powers': [16], 'representative': 97, 'size': 1}
id: 43426498
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 2136, 'group_order': 128, 'label': '4D1', 'order': 4, 'powers': [16], 'representative': 38, 'size': 1}
id: 43426499
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 2136, 'group_order': 128, 'label': '4D-1', 'order': 4, 'powers': [16], 'representative': 102, 'size': 1}
id: 43426500
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 2136, 'group_order': 128, 'label': '4E1', 'order': 4, 'powers': [16], 'representative': 37, 'size': 1}
id: 43426501
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 2136, 'group_order': 128, 'label': '4E-1', 'order': 4, 'powers': [16], 'representative': 101, 'size': 1}
id: 43426502
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 2136, 'group_order': 128, 'label': '4F1', 'order': 4, 'powers': [16], 'representative': 35, 'size': 1}
id: 43426503
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 2136, 'group_order': 128, 'label': '4F-1', 'order': 4, 'powers': [16], 'representative': 99, 'size': 1}
id: 43426504
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 2136, 'group_order': 128, 'label': '4G1', 'order': 4, 'powers': [16], 'representative': 39, 'size': 1}
id: 43426506
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 2136, 'group_order': 128, 'label': '4G-1', 'order': 4, 'powers': [16], 'representative': 103, 'size': 1}
id: 43426507
{'aut_label': '4H1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 2136, 'group_order': 128, 'label': '4H1', 'order': 4, 'powers': [16], 'representative': 32, 'size': 1}
id: 43426508
{'aut_label': '4H1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 2136, 'group_order': 128, 'label': '4H-1', 'order': 4, 'powers': [16], 'representative': 96, 'size': 1}
id: 43426509
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 2136, 'group_order': 128, 'label': '8A1', 'order': 8, 'powers': [31], 'representative': 20, 'size': 1}
id: 43426510
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 2136, 'group_order': 128, 'label': '8A-1', 'order': 8, 'powers': [32], 'representative': 116, 'size': 1}
id: 43426511
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 2136, 'group_order': 128, 'label': '8A3', 'order': 8, 'powers': [32], 'representative': 52, 'size': 1}
id: 43426512
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 2136, 'group_order': 128, 'label': '8A-3', 'order': 8, 'powers': [31], 'representative': 84, 'size': 1}
id: 43426513
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 2136, 'group_order': 128, 'label': '8B1', 'order': 8, 'powers': [31], 'representative': 18, 'size': 1}
id: 43426514
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 2136, 'group_order': 128, 'label': '8B-1', 'order': 8, 'powers': [32], 'representative': 114, 'size': 1}
id: 43426515
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 2136, 'group_order': 128, 'label': '8B3', 'order': 8, 'powers': [32], 'representative': 50, 'size': 1}
id: 43426517
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 2136, 'group_order': 128, 'label': '8B-3', 'order': 8, 'powers': [31], 'representative': 82, 'size': 1}
id: 43426518
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 2136, 'group_order': 128, 'label': '8C1', 'order': 8, 'powers': [31], 'representative': 17, 'size': 1}
id: 43426519
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 2136, 'group_order': 128, 'label': '8C-1', 'order': 8, 'powers': [32], 'representative': 113, 'size': 1}
id: 43426520
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 2136, 'group_order': 128, 'label': '8C3', 'order': 8, 'powers': [32], 'representative': 49, 'size': 1}
id: 43426521
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 2136, 'group_order': 128, 'label': '8C-3', 'order': 8, 'powers': [31], 'representative': 81, 'size': 1}
id: 43426522
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 2136, 'group_order': 128, 'label': '8D1', 'order': 8, 'powers': [31], 'representative': 22, 'size': 1}
id: 43426523
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 2136, 'group_order': 128, 'label': '8D-1', 'order': 8, 'powers': [32], 'representative': 118, 'size': 1}
id: 43426524
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 2136, 'group_order': 128, 'label': '8D3', 'order': 8, 'powers': [32], 'representative': 54, 'size': 1}
id: 43426525
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 2136, 'group_order': 128, 'label': '8D-3', 'order': 8, 'powers': [31], 'representative': 86, 'size': 1}
id: 43426526
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 2136, 'group_order': 128, 'label': '8E1', 'order': 8, 'powers': [31], 'representative': 21, 'size': 1}
id: 43426528
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 2136, 'group_order': 128, 'label': '8E-1', 'order': 8, 'powers': [32], 'representative': 117, 'size': 1}
id: 43426529
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 2136, 'group_order': 128, 'label': '8E3', 'order': 8, 'powers': [32], 'representative': 53, 'size': 1}
id: 43426530
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 2136, 'group_order': 128, 'label': '8E-3', 'order': 8, 'powers': [31], 'representative': 85, 'size': 1}
id: 43426531
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 2136, 'group_order': 128, 'label': '8F1', 'order': 8, 'powers': [31], 'representative': 19, 'size': 1}
id: 43426532
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 2136, 'group_order': 128, 'label': '8F-1', 'order': 8, 'powers': [32], 'representative': 115, 'size': 1}
id: 43426533
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 2136, 'group_order': 128, 'label': '8F3', 'order': 8, 'powers': [32], 'representative': 51, 'size': 1}
id: 43426534
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 2136, 'group_order': 128, 'label': '8F-3', 'order': 8, 'powers': [31], 'representative': 83, 'size': 1}
id: 43426535
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 57, 'group_counter': 2136, 'group_order': 128, 'label': '8G1', 'order': 8, 'powers': [31], 'representative': 23, 'size': 1}
id: 43426536
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 58, 'group_counter': 2136, 'group_order': 128, 'label': '8G-1', 'order': 8, 'powers': [32], 'representative': 119, 'size': 1}
id: 43426537
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 59, 'group_counter': 2136, 'group_order': 128, 'label': '8G3', 'order': 8, 'powers': [32], 'representative': 55, 'size': 1}
id: 43426539
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 60, 'group_counter': 2136, 'group_order': 128, 'label': '8G-3', 'order': 8, 'powers': [31], 'representative': 87, 'size': 1}
id: 43426540
{'aut_label': '8H1', 'centralizer': '1.a1', 'counter': 61, 'group_counter': 2136, 'group_order': 128, 'label': '8H1', 'order': 8, 'powers': [31], 'representative': 16, 'size': 1}
id: 43426541
{'aut_label': '8H1', 'centralizer': '1.a1', 'counter': 62, 'group_counter': 2136, 'group_order': 128, 'label': '8H-1', 'order': 8, 'powers': [32], 'representative': 112, 'size': 1}
id: 43426542
{'aut_label': '8H1', 'centralizer': '1.a1', 'counter': 63, 'group_counter': 2136, 'group_order': 128, 'label': '8H3', 'order': 8, 'powers': [32], 'representative': 48, 'size': 1}
id: 43426543
{'aut_label': '8H1', 'centralizer': '1.a1', 'counter': 64, 'group_counter': 2136, 'group_order': 128, 'label': '8H-3', 'order': 8, 'powers': [31], 'representative': 80, 'size': 1}
id: 43426544
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 65, 'group_counter': 2136, 'group_order': 128, 'label': '16A1', 'order': 16, 'powers': [61], 'representative': 8, 'size': 1}
id: 43426545
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 66, 'group_counter': 2136, 'group_order': 128, 'label': '16A-1', 'order': 16, 'powers': [62], 'representative': 120, 'size': 1}
id: 43426546
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 2136, 'group_order': 128, 'label': '16A3', 'order': 16, 'powers': [63], 'representative': 24, 'size': 1}
id: 43426547
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 2136, 'group_order': 128, 'label': '16A-3', 'order': 16, 'powers': [64], 'representative': 104, 'size': 1}
id: 43426548
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 2136, 'group_order': 128, 'label': '16A5', 'order': 16, 'powers': [64], 'representative': 40, 'size': 1}
id: 43426550
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 2136, 'group_order': 128, 'label': '16A-5', 'order': 16, 'powers': [63], 'representative': 88, 'size': 1}
id: 43426551
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 2136, 'group_order': 128, 'label': '16A7', 'order': 16, 'powers': [62], 'representative': 56, 'size': 1}
id: 43426552
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 2136, 'group_order': 128, 'label': '16A-7', 'order': 16, 'powers': [61], 'representative': 72, 'size': 1}
id: 43426553
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 2136, 'group_order': 128, 'label': '16B1', 'order': 16, 'powers': [61], 'representative': 12, 'size': 1}
id: 43426554
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 2136, 'group_order': 128, 'label': '16B-1', 'order': 16, 'powers': [62], 'representative': 124, 'size': 1}
id: 43426555
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 2136, 'group_order': 128, 'label': '16B3', 'order': 16, 'powers': [63], 'representative': 28, 'size': 1}
id: 43426556
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 2136, 'group_order': 128, 'label': '16B-3', 'order': 16, 'powers': [64], 'representative': 108, 'size': 1}
id: 43426557
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 2136, 'group_order': 128, 'label': '16B5', 'order': 16, 'powers': [64], 'representative': 44, 'size': 1}
id: 43426558
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 2136, 'group_order': 128, 'label': '16B-5', 'order': 16, 'powers': [63], 'representative': 92, 'size': 1}
id: 43426559
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 2136, 'group_order': 128, 'label': '16B7', 'order': 16, 'powers': [62], 'representative': 60, 'size': 1}
id: 43426561
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 2136, 'group_order': 128, 'label': '16B-7', 'order': 16, 'powers': [61], 'representative': 76, 'size': 1}
id: 43426562
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 2136, 'group_order': 128, 'label': '16C1', 'order': 16, 'powers': [61], 'representative': 10, 'size': 1}
id: 43426563
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 2136, 'group_order': 128, 'label': '16C-1', 'order': 16, 'powers': [62], 'representative': 122, 'size': 1}
id: 43426564
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 2136, 'group_order': 128, 'label': '16C3', 'order': 16, 'powers': [63], 'representative': 26, 'size': 1}
id: 43426565
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 2136, 'group_order': 128, 'label': '16C-3', 'order': 16, 'powers': [64], 'representative': 106, 'size': 1}
id: 43426566
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 2136, 'group_order': 128, 'label': '16C5', 'order': 16, 'powers': [64], 'representative': 42, 'size': 1}
id: 43426567
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 2136, 'group_order': 128, 'label': '16C-5', 'order': 16, 'powers': [63], 'representative': 90, 'size': 1}
id: 43426568
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 2136, 'group_order': 128, 'label': '16C7', 'order': 16, 'powers': [62], 'representative': 58, 'size': 1}
id: 43426569
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 2136, 'group_order': 128, 'label': '16C-7', 'order': 16, 'powers': [61], 'representative': 74, 'size': 1}
id: 43426570
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 2136, 'group_order': 128, 'label': '16D1', 'order': 16, 'powers': [61], 'representative': 9, 'size': 1}
id: 43426572
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 2136, 'group_order': 128, 'label': '16D-1', 'order': 16, 'powers': [62], 'representative': 121, 'size': 1}
id: 43426573
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 2136, 'group_order': 128, 'label': '16D3', 'order': 16, 'powers': [63], 'representative': 25, 'size': 1}
id: 43426574
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 2136, 'group_order': 128, 'label': '16D-3', 'order': 16, 'powers': [64], 'representative': 105, 'size': 1}
id: 43426575
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 93, 'group_counter': 2136, 'group_order': 128, 'label': '16D5', 'order': 16, 'powers': [64], 'representative': 41, 'size': 1}
id: 43426576
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 94, 'group_counter': 2136, 'group_order': 128, 'label': '16D-5', 'order': 16, 'powers': [63], 'representative': 89, 'size': 1}
id: 43426577
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 95, 'group_counter': 2136, 'group_order': 128, 'label': '16D7', 'order': 16, 'powers': [62], 'representative': 57, 'size': 1}
id: 43426578
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 96, 'group_counter': 2136, 'group_order': 128, 'label': '16D-7', 'order': 16, 'powers': [61], 'representative': 73, 'size': 1}
id: 43426579
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 2136, 'group_order': 128, 'label': '16E1', 'order': 16, 'powers': [61], 'representative': 14, 'size': 1}
id: 43426580
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 2136, 'group_order': 128, 'label': '16E-1', 'order': 16, 'powers': [62], 'representative': 126, 'size': 1}
id: 43426581
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 2136, 'group_order': 128, 'label': '16E3', 'order': 16, 'powers': [63], 'representative': 30, 'size': 1}
id: 43426456
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 2136, 'group_order': 128, 'label': '16E-3', 'order': 16, 'powers': [64], 'representative': 110, 'size': 1}
id: 43426457
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 2136, 'group_order': 128, 'label': '16E5', 'order': 16, 'powers': [64], 'representative': 46, 'size': 1}
id: 43426458
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 2136, 'group_order': 128, 'label': '16E-5', 'order': 16, 'powers': [63], 'representative': 94, 'size': 1}
id: 43426459
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 2136, 'group_order': 128, 'label': '16E7', 'order': 16, 'powers': [62], 'representative': 62, 'size': 1}
id: 43426460
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 2136, 'group_order': 128, 'label': '16E-7', 'order': 16, 'powers': [61], 'representative': 78, 'size': 1}
id: 43426461
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 105, 'group_counter': 2136, 'group_order': 128, 'label': '16F1', 'order': 16, 'powers': [61], 'representative': 13, 'size': 1}
id: 43426462
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 106, 'group_counter': 2136, 'group_order': 128, 'label': '16F-1', 'order': 16, 'powers': [62], 'representative': 125, 'size': 1}
id: 43426463
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 107, 'group_counter': 2136, 'group_order': 128, 'label': '16F3', 'order': 16, 'powers': [63], 'representative': 29, 'size': 1}
id: 43426464
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 108, 'group_counter': 2136, 'group_order': 128, 'label': '16F-3', 'order': 16, 'powers': [64], 'representative': 109, 'size': 1}
id: 43426465
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 109, 'group_counter': 2136, 'group_order': 128, 'label': '16F5', 'order': 16, 'powers': [64], 'representative': 45, 'size': 1}
id: 43426467
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 110, 'group_counter': 2136, 'group_order': 128, 'label': '16F-5', 'order': 16, 'powers': [63], 'representative': 93, 'size': 1}
id: 43426468
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 111, 'group_counter': 2136, 'group_order': 128, 'label': '16F7', 'order': 16, 'powers': [62], 'representative': 61, 'size': 1}
id: 43426469
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 112, 'group_counter': 2136, 'group_order': 128, 'label': '16F-7', 'order': 16, 'powers': [61], 'representative': 77, 'size': 1}
id: 43426470
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 113, 'group_counter': 2136, 'group_order': 128, 'label': '16G1', 'order': 16, 'powers': [61], 'representative': 11, 'size': 1}
id: 43426471
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 114, 'group_counter': 2136, 'group_order': 128, 'label': '16G-1', 'order': 16, 'powers': [62], 'representative': 123, 'size': 1}
id: 43426472
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 115, 'group_counter': 2136, 'group_order': 128, 'label': '16G3', 'order': 16, 'powers': [63], 'representative': 27, 'size': 1}
id: 43426473
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 116, 'group_counter': 2136, 'group_order': 128, 'label': '16G-3', 'order': 16, 'powers': [64], 'representative': 107, 'size': 1}
id: 43426474
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 117, 'group_counter': 2136, 'group_order': 128, 'label': '16G5', 'order': 16, 'powers': [64], 'representative': 43, 'size': 1}
id: 43426475
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 118, 'group_counter': 2136, 'group_order': 128, 'label': '16G-5', 'order': 16, 'powers': [63], 'representative': 91, 'size': 1}
id: 43426476
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 119, 'group_counter': 2136, 'group_order': 128, 'label': '16G7', 'order': 16, 'powers': [62], 'representative': 59, 'size': 1}
id: 43426478
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 120, 'group_counter': 2136, 'group_order': 128, 'label': '16G-7', 'order': 16, 'powers': [61], 'representative': 75, 'size': 1}
id: 43426479
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 121, 'group_counter': 2136, 'group_order': 128, 'label': '16H1', 'order': 16, 'powers': [61], 'representative': 15, 'size': 1}
id: 43426480
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 122, 'group_counter': 2136, 'group_order': 128, 'label': '16H-1', 'order': 16, 'powers': [62], 'representative': 127, 'size': 1}
id: 43426481
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 123, 'group_counter': 2136, 'group_order': 128, 'label': '16H3', 'order': 16, 'powers': [63], 'representative': 31, 'size': 1}
id: 43426482
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 124, 'group_counter': 2136, 'group_order': 128, 'label': '16H-3', 'order': 16, 'powers': [64], 'representative': 111, 'size': 1}
id: 43426483
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 125, 'group_counter': 2136, 'group_order': 128, 'label': '16H5', 'order': 16, 'powers': [64], 'representative': 47, 'size': 1}
id: 43426484
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 126, 'group_counter': 2136, 'group_order': 128, 'label': '16H-5', 'order': 16, 'powers': [63], 'representative': 95, 'size': 1}
id: 43426485
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 127, 'group_counter': 2136, 'group_order': 128, 'label': '16H7', 'order': 16, 'powers': [62], 'representative': 63, 'size': 1}
id: 43426486
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 128, 'group_counter': 2136, 'group_order': 128, 'label': '16H-7', 'order': 16, 'powers': [61], 'representative': 79, 'size': 1}

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

gps_qchar • Show schema

id: 91367
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1a', '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], 'schur_index': 1}
id: 91378
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1b', '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], 'schur_index': 1}
id: 91389
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1c', '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], 'schur_index': 1}
id: 91400
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1d', '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], 'schur_index': 1}
id: 91402
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1e', '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], 'schur_index': 1}
id: 91403
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1f', '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], 'schur_index': 1}
id: 91404
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1g', '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], 'schur_index': 1}
id: 91405
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1h', '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], 'schur_index': 1}
id: 91406
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1i', '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], 'schur_index': 1}
id: 91368
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1j', '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], 'schur_index': 1}
id: 91369
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1k', '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], 'schur_index': 1}
id: 91370
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1l', '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], 'schur_index': 1}
id: 91371
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1m', '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], 'schur_index': 1}
id: 91372
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1n', '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], 'schur_index': 1}
id: 91373
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1o', '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], 'schur_index': 1}
id: 91374
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1p', '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], 'schur_index': 1}
id: 91375
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1q', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 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: 91376
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1r', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 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: 91377
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1s', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 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: 91379
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1t', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 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: 91380
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1u', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 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: 91381
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1v', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 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: 91382
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1w', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 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: 91383
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1x', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [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, 0, 0, 0, 0, 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: 91384
{'cdim': 1, 'counter': 25, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1y', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 91385
{'cdim': 1, 'counter': 26, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1z', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 91386
{'cdim': 1, 'counter': 27, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1aa', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 91387
{'cdim': 1, 'counter': 28, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1ab', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 91388
{'cdim': 1, 'counter': 29, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1ac', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 91390
{'cdim': 1, 'counter': 30, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1ad', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 91391
{'cdim': 1, 'counter': 31, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1ae', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 91392
{'cdim': 1, 'counter': 32, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1af', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [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, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 91393
{'cdim': 1, 'counter': 33, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1ag', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, -8, -8, -8, 8, -8, 8, 8, -8, 8, -8, 8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 91394
{'cdim': 1, 'counter': 34, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1ah', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, 8, -8, 8, -8, -8, -8, 8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 91395
{'cdim': 1, 'counter': 35, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1ai', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -8, -8, 8, -8, -8, -8, 8, -8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 91396
{'cdim': 1, 'counter': 36, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1aj', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, -8, 8, 8, 8, 8, -8, -8, -8, 8, 8, -8, 8, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 91397
{'cdim': 1, 'counter': 37, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1ak', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, -8, -8, -8, 8, 8, 8, -8, 8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 91398
{'cdim': 1, 'counter': 38, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1al', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, -8, 8, 8, -8, 8, -8, -8, -8, 8, 8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 91399
{'cdim': 1, 'counter': 39, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1am', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, 8, -8, 8, -8, -8, -8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 91401
{'cdim': 1, 'counter': 40, 'faithful': False, 'group': '128.2136', 'group_order': 128, 'image': None, 'label': '128.2136.1an', 'multiplicity': 8, 'nt': [16, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, 8, 8, -8, 8, -8, -8, -8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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}

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

gps_char • Show schema

id: 82412
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 128, 'label': '128.2136.1a', '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]]]}
id: 82476
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id: 82477
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id: 82478
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id: 82479
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id: 82480
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id: 82481
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id: 82482
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id: 82483
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id: 82484
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id: 82486
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id: 82487
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id: 82488
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id: 82489
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id: 82490
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id: 82491
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id: 82492
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id: 82493
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id: 82494
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id: 82495
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id: 82497
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id: 82498
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id: 82499
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id: 82500
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id: 82501
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id: 82502
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id: 82503
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id: 82504
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id: 82505
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id: 82506
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id: 82508
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id: 82509
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id: 82510
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id: 82511
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id: 82512
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id: 82513
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id: 82514
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id: 82515
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id: 82516
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id: 82517
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id: 82519
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id: 82520
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id: 82521
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id: 82522
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id: 82523
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id: 82524
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id: 82525
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id: 82526
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id: 82527
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id: 82528
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id: 82530
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id: 82531
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id: 82532
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id: 82533
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id: 82534
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id: 82535
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id: 82536
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id: 82537
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id: 82538
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id: 82539
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id: 82414
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id: 82415
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id: 82416
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id: 82417
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id: 82418
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id: 82419
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id: 82420
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id: 82421
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id: 82422
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id: 82423
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id: 82425
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id: 82426
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 111, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.d1', 'kernel_order': 8, 'label': '128.2136.1al7', 'nt': [16, 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, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[-1, 4]], [[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, 2]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 5]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 5]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 5]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 5]], [[-1, 5]], [[1, 7]], [[1, 5]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 7]], [[1, 7]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 7]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 5]]]}
id: 82427
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id: 82428
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id: 82429
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id: 82430
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id: 82431
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id: 82432
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id: 82433
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id: 82434
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 119, 'cyclotomic_n': 16, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '16.1', 'image_order': 16, 'indicator': 0, 'kernel': '16.d1', 'kernel_order': 8, 'label': '128.2136.1am7', 'nt': [16, 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, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[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, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 2]], [[-1, 5]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 5]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 5]], [[1, 5]], [[1, 7]], [[-1, 5]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 7]], [[1, 3]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 7]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 7]], [[1, 7]], [[1, 5]], [[1, 5]], [[-1, 5]]]}
id: 82436
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id: 82437
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id: 82438
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id: 82439
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id: 82440
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id: 82441
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id: 82442
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id: 82443
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id: 82444
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id: 82452
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id: 82463
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 64, 'label': '128.2136.1c', '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]]]}
id: 82474
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 64, 'label': '128.2136.1d', '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]]]}
id: 82485
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 64, 'label': '128.2136.1e', '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]]]}
id: 82496
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 64, 'label': '128.2136.1f', '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]]]}
id: 82507
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 64, 'label': '128.2136.1g', '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]]]}
id: 82518
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 64, 'label': '128.2136.1h', '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]]]}
id: 82529
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id: 82413
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id: 82424
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id: 82435
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id: 82445
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id: 82446
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id: 82447
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 64, 'label': '128.2136.1o', '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]]]}
id: 82448
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 64, 'label': '128.2136.1p', '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]]]}
id: 82449
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id: 82450
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id: 82451
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id: 82453
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id: 82454
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id: 82455
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 22, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 32, 'label': '128.2136.1s2', 'nt': [4, 2], '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, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
id: 82456
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id: 82457
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 24, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 32, 'label': '128.2136.1t2', 'nt': [4, 2], '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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
id: 82458
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id: 82459
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id: 82460
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 27, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 32, 'label': '128.2136.1v1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
id: 82461
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 28, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 32, 'label': '128.2136.1v2', 'nt': [4, 2], '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, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
id: 82462
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 29, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 32, 'label': '128.2136.1w1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
id: 82464
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 30, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 32, 'label': '128.2136.1w2', 'nt': [4, 2], '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, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
id: 82465
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 31, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1', 'kernel_order': 32, 'label': '128.2136.1x1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
id: 82466
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 32, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.d1', 'kernel_order': 32, 'label': '128.2136.1x2', 'nt': [4, 2], '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, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
id: 82467
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 33, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1', 'kernel_order': 16, 'label': '128.2136.1y1', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]]]}
id: 82468
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 34, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1', 'kernel_order': 16, 'label': '128.2136.1y2', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
id: 82469
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 35, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1', 'kernel_order': 16, 'label': '128.2136.1y3', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]]]}
id: 82470
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 36, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1', 'kernel_order': 16, 'label': '128.2136.1y4', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
id: 82471
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 37, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1', 'kernel_order': 16, 'label': '128.2136.1z1', 'nt': [8, 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, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
id: 82472
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 38, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1', 'kernel_order': 16, 'label': '128.2136.1z2', 'nt': [8, 4], '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, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]]]}
id: 82473
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 39, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1', 'kernel_order': 16, 'label': '128.2136.1z3', 'nt': [8, 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, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
id: 82475
{'center': '1.a1', 'center_index': 1, 'center_order': 128, 'counter': 40, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '128.2136', 'group_counter': 2136, 'group_order': 128, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.d1', 'kernel_order': 16, 'label': '128.2136.1z4', 'nt': [8, 4], '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, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]]]}

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

gps_subgroup_search • Show schema

id: 8129830
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '128.2136.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.2136', 'subgroup_hash': 2136, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\times C_{16}', 'supersolvable': True, 'sylow': 2}
id: 8129841
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '128.2136.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
id: 8129849
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.246', 'subgroup_hash': 246, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 8129850
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '128.2136.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
id: 8129851
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 8129852
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 8129853
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
id: 8129854
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 8129855
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 8129831
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
id: 8129832
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
id: 8129833
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 16, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
id: 8129834
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 13, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '128.2136.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
id: 8129835
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': 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: 8129836
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': 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: 8129837
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
id: 8129838
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 17, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '128.2136.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
id: 8129839
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.2136.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
id: 8129840
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 8, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.2136.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
id: 8129842
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '128.2136.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': 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: 8129843
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 21, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '128.2136.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
id: 8129844
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 22, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.2136.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
id: 8129845
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 4, 'counter': 23, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.2136.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.45', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], '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: 8129846
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 24, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '128.2136.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.183', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 183, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_{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: 8129847
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 2, 'counter': 25, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '128.2136.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.246', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 246, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_8', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
id: 8129848
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '128.2136', 'ambient_counter': 2136, 'ambient_order': 128, 'ambient_tex': 'C_2^3\\times C_{16}', 'central': True, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 1, 'counter': 26, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '128.2136.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '128.2136', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2136, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', '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}

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

gps_subgroup_data • Show schema

id: 8129839
{'ambient': '128.2136', 'aut_centralizer_order': 3072, 'aut_label': '16.e1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '4.2', 'aut_weyl_index': 21504, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['8.a1', '8.b1'], 'contains': ['32.d1'], 'core': '16.e1', 'coset_action_label': None, 'count': 7, 'diagramx': [3019, 3019, 3085, 3085], 'generators': [17], 'label': '128.2136.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.d1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '16.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129840
{'ambient': '128.2136', 'aut_centralizer_order': 21504, 'aut_label': '16.f1', 'aut_quo_index': 15, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 21504, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.f1'], 'contains': ['32.d1'], 'core': '16.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [1981, 1981, 1989, 1989], 'generators': [16], 'label': '128.2136.16.f1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.f1', 'normal_contained_in': ['8.a1', '8.f1'], 'normal_contains': ['32.d1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': '16.14', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.14', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129830
{'ambient': '128.2136', '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': '1.a1', 'complements': ['128.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4650, 4650, 4655, 4655], 'generators': [1, 2, 4, 8], 'label': '128.2136.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '1.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129831
{'ambient': '128.2136', 'aut_centralizer_order': 256, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 7, 'aut_weyl_group': '48.48', 'aut_weyl_index': 1792, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '16.b1', '16.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 7, 'diagramx': [5795, 5795, 5819, 5819], 'generators': [1, 4, 32], 'label': '128.2136.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '16.b1', '16.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129832
{'ambient': '128.2136', 'aut_centralizer_order': 64, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '192.1493', 'aut_weyl_index': 448, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['4.d1'], 'contains': ['16.b1', '16.c1'], 'core': '8.d1', 'coset_action_label': None, 'count': 7, 'diagramx': [7912, 7912, 7943, 7943], 'generators': [33, 2, 4], 'label': '128.2136.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.d1'], 'normal_contains': ['16.b1', '16.c1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129833
{'ambient': '128.2136', 'aut_centralizer_order': 64, 'aut_label': '8.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1344.11686', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1'], 'contains': ['16.c1', '16.d1'], 'core': '8.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [9529, 9529, 9567, 9567], 'generators': [1, 2, 4, 64], 'label': '128.2136.8.e1', 'mobius_quo': 64, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.d1'], 'normal_contains': ['16.c1', '16.d1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129834
{'ambient': '128.2136', 'aut_centralizer_order': 1344, 'aut_label': '8.f1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '8.2', 'aut_weyl_index': 10752, 'centralizer': '1.a1', 'complements': ['16.d1'], 'conjugacy_class_count': 8, 'contained_in': ['4.a1'], 'contains': ['16.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 8, 'diagramx': [471, 471, 474, 474], 'generators': [9], 'label': '128.2136.8.f1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.f1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129835
{'ambient': '128.2136', 'aut_centralizer_order': 3072, 'aut_label': '16.a1', 'aut_quo_index': 4, 'aut_stab_index': 7, 'aut_weyl_group': '4.2', 'aut_weyl_index': 21504, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['8.a1', '8.b1', '8.c1'], 'contains': ['32.a1', '32.c1', '32.d1'], 'core': '16.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4421, 4421, 4492, 4492], 'generators': [1, 32], 'label': '128.2136.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.a1', '32.c1', '32.d1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '16.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129836
{'ambient': '128.2136', 'aut_centralizer_order': 512, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 21, 'aut_weyl_group': '8.3', 'aut_weyl_index': 10752, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 21, 'contained_in': ['8.c1', '8.d1'], 'contains': ['32.a1', '32.c1'], 'core': '16.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [6254, 6254, 6333, 6333], 'generators': [33, 4], 'label': '128.2136.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.c1', '8.d1'], 'normal_contains': ['32.a1', '32.c1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129837
{'ambient': '128.2136', 'aut_centralizer_order': 512, 'aut_label': '16.c1', 'aut_quo_index': 2, 'aut_stab_index': 7, 'aut_weyl_group': '24.12', 'aut_weyl_index': 3584, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['8.c1', '8.d1', '8.e1'], 'contains': ['32.a1', '32.b1'], 'core': '16.c1', 'coset_action_label': None, 'count': 7, 'diagramx': [7790, 7790, 7875, 7875], 'generators': [1, 4, 64], 'label': '128.2136.16.c1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.c1', '8.d1', '8.e1'], 'normal_contains': ['32.a1', '32.b1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129838
{'ambient': '128.2136', 'aut_centralizer_order': 64, 'aut_label': '16.d1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '168.42', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': ['8.f1'], 'conjugacy_class_count': 8, 'contained_in': ['8.e1'], 'contains': ['32.b1'], 'core': '16.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [9219, 9219, 9269, 9269], 'generators': [1, 2, 4], 'label': '128.2136.16.d1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.e1'], 'normal_contains': ['32.b1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '16.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129841
{'ambient': '128.2136', 'aut_centralizer_order': 8, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 14, 'aut_weyl_group': '768.1090215', 'aut_weyl_index': 112, 'centralizer': '1.a1', 'complements': ['64.a1'], 'conjugacy_class_count': 14, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [3490, 3490, 3505, 3505], 'generators': [9, 2, 4], 'label': '128.2136.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129842
{'ambient': '128.2136', 'aut_centralizer_order': 6144, 'aut_label': '32.a1', 'aut_quo_index': 4, 'aut_stab_index': 7, 'aut_weyl_group': '2.1', 'aut_weyl_index': 43008, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['16.a1', '16.b1', '16.c1'], 'contains': ['64.a1', '64.b1'], 'core': '32.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [6254, 6254, 6333, 6333], 'generators': [1, 64], 'label': '128.2136.32.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1'], 'normal_contains': ['64.a1', '64.b1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '32.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129843
{'ambient': '128.2136', 'aut_centralizer_order': 512, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 28, 'aut_weyl_group': '6.1', 'aut_weyl_index': 14336, 'centralizer': '1.a1', 'complements': ['4.a1'], 'conjugacy_class_count': 28, 'contained_in': ['16.c1', '16.d1'], 'contains': ['64.a1'], 'core': '32.b1', 'coset_action_label': None, 'count': 28, 'diagramx': [7790, 7790, 7875, 7875], 'generators': [1, 4], 'label': '128.2136.32.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.c1', '16.d1'], 'normal_contains': ['64.a1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '32.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129844
{'ambient': '128.2136', 'aut_centralizer_order': 6144, 'aut_label': '32.c1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '2.1', 'aut_weyl_index': 43008, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['16.a1', '16.b1'], 'contains': ['64.b1'], 'core': '32.c1', 'coset_action_label': None, 'count': 7, 'diagramx': [5215, 5215, 5291, 5291], 'generators': [33], 'label': '128.2136.32.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['64.b1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '32.36', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129845
{'ambient': '128.2136', 'aut_centralizer_order': 43008, 'aut_label': '32.d1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 43008, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.e1', '16.f1'], 'contains': ['64.b1'], 'core': '32.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3639, 3639, 3708, 3708], 'generators': [32], 'label': '128.2136.32.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.a1', '16.e1', '16.f1'], 'normal_contains': ['64.b1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': '32.45', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.45', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129846
{'ambient': '128.2136', 'aut_centralizer_order': 6144, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 14, 'aut_weyl_group': '1.1', 'aut_weyl_index': 86016, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 14, 'contained_in': ['32.a1', '32.b1'], 'contains': ['128.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [6254, 6254, 6333, 6333], 'generators': [1], 'label': '128.2136.64.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['128.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '64.183', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.183', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129847
{'ambient': '128.2136', 'aut_centralizer_order': 86016, 'aut_label': '64.b1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 86016, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.c1', '32.d1'], 'contains': ['128.a1'], 'core': '64.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5256, 5256, 5331, 5331], 'generators': [64], 'label': '128.2136.64.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': ['32.a1', '32.c1', '32.d1'], 'normal_contains': ['128.a1'], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': '64.246', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.246', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129848
{'ambient': '128.2136', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '64.b1'], 'contains': [], 'core': '128.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5755, 5755, 5819, 5819], 'generators': [], 'label': '128.2136.128.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '128.a1', 'normal_contained_in': ['64.a1', '64.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '128.a1', 'projective_image': '128.2136', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129849
{'ambient': '128.2136', 'aut_centralizer_order': 16, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '5376.bx', 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.d1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5795, 5795, 5819, 5819], 'generators': [1, 2, 4, 16], 'label': '128.2136.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.d1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129850
{'ambient': '128.2136', 'aut_centralizer_order': 96, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 28, 'aut_weyl_group': '32.48', 'aut_weyl_index': 2688, 'centralizer': '1.a1', 'complements': ['32.b1'], 'conjugacy_class_count': 28, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.f1'], 'core': '4.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [1524, 1524, 1529, 1529], 'generators': [9, 4], 'label': '128.2136.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.f1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129851
{'ambient': '128.2136', 'aut_centralizer_order': 128, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 7, 'aut_weyl_group': '96.226', 'aut_weyl_index': 896, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.b1', '8.c1'], 'core': '4.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [3679, 3679, 3694, 3694], 'generators': [1, 4, 16], 'label': '128.2136.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.b1', '8.c1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129852
{'ambient': '128.2136', 'aut_centralizer_order': 32, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 7, 'aut_weyl_group': '384.20089', 'aut_weyl_index': 224, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['2.b1'], 'contains': ['8.b1', '8.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 7, 'diagramx': [5795, 5795, 5819, 5819], 'generators': [17, 2, 4], 'label': '128.2136.4.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.b1', '8.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129853
{'ambient': '128.2136', 'aut_centralizer_order': 32, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2688.cd', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1'], 'contains': ['8.c1', '8.d1', '8.e1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7912, 7912, 7943, 7943], 'generators': [1, 2, 4, 32], 'label': '128.2136.4.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.c1', '8.d1', '8.e1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129854
{'ambient': '128.2136', 'aut_centralizer_order': 1536, 'aut_label': '8.a1', 'aut_quo_index': 7, 'aut_stab_index': 7, 'aut_weyl_group': '8.5', 'aut_weyl_index': 10752, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 7, 'contained_in': ['4.a1', '4.b1'], 'contains': ['16.a1', '16.e1', '16.f1'], 'core': '8.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1981, 1981, 1989, 1989], 'generators': [1, 16], 'label': '128.2136.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1'], 'normal_contains': ['16.a1', '16.e1', '16.f1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '8.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 8129855
{'ambient': '128.2136', 'aut_centralizer_order': 256, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 21, 'aut_weyl_group': '16.11', 'aut_weyl_index': 5376, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 21, 'contained_in': ['4.b1', '4.c1'], 'contains': ['16.a1', '16.e1'], 'core': '8.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [3815, 3815, 3830, 3830], 'generators': [17, 4], 'label': '128.2136.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.b1', '4.c1'], 'normal_contains': ['16.a1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.