LMFDB - Abstract group data

Formats: - HTML - YAML - JSON - 2026-07-25T16:44:52.379460

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': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.14', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[1, 2, 4, 16], [193, 2, 4, 272], [1, 194, 4, 272], [1, 2, 196, 272], [1, 2, 4, 80], [9, 2, 4, 272], [289, 2, 4, 272], [1, 10, 4, 272], [1, 2, 12, 272], [1, 2, 4, 280], [1, 2, 4, 368], [1, 2, 4, 272], [1, 2, 132, 16]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 6144, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 2, 1], [2, 4, 2, 1], [2, 8, 1, 2], [2, 12, 1, 1], [2, 24, 1, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 4, 1, 1], [4, 8, 1, 1], [4, 12, 1, 3], [4, 12, 2, 1], [4, 24, 1, 2], [6, 2, 1, 3], [6, 4, 2, 1], [6, 8, 2, 2], [6, 16, 1, 1], [8, 8, 1, 2], [8, 12, 2, 2], [12, 4, 1, 2], [12, 8, 1, 1], [12, 16, 1, 1], [24, 8, 2, 2]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 4, 2], [2, 8, 2], [2, 12, 1], [2, 24, 1], [3, 2, 1], [4, 2, 2], [4, 4, 1], [4, 8, 1], [4, 12, 5], [4, 24, 2], [6, 2, 3], [6, 4, 2], [6, 8, 4], [6, 16, 1], [8, 8, 2], [8, 12, 4], [12, 4, 2], [12, 8, 1], [12, 16, 1], [24, 8, 4]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '96.209', 'commutator_count': 1, 'commutator_label': '24.9', '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', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 12593, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 4, 1, 2], [2, 8, 1, 2], [2, 12, 1, 1], [2, 24, 1, 1], [3, 2, 1, 1], [4, 2, 1, 2], [4, 4, 1, 1], [4, 8, 1, 1], [4, 12, 1, 3], [4, 12, 2, 1], [4, 24, 1, 2], [6, 2, 1, 3], [6, 4, 1, 2], [6, 8, 1, 2], [6, 8, 2, 1], [6, 16, 1, 1], [8, 8, 1, 2], [8, 12, 2, 2], [12, 4, 1, 2], [12, 8, 1, 1], [12, 16, 1, 1], [24, 8, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 1048320, 'exponent': 24, 'exponents_of_order': [7, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '48.51', 'hash': 12593, 'hyperelementary': 2, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 96, 'inner_split': None, 'inner_tex': 'D_4\\times D_6', 'inner_used': None, 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 16], [2, 16], [4, 15], [8, 1]], 'label': '384.12593', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': '(C2*D8):D6', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 38, 'number_characteristic_subgroups': 109, 'number_conjugacy_classes': 48, 'number_divisions': 42, 'number_normal_subgroups': 117, 'number_subgroup_autclasses': 404, 'number_subgroup_classes': 462, 'number_subgroups': 1854, 'old_label': None, 'order': 384, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 67], [3, 2], [4, 124], [6, 62], [8, 64], [12, 32], [24, 32]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '64.267', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 64, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2^6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 16], [2, 12], [4, 9], [8, 5]], 'representations': {'PC': {'code': 236696761128950407468576735642429512512513, 'gens': [1, 2, 3, 5], 'pres': [8, -2, -2, -2, -2, 2, -2, -2, -3, 154, 66, 4484, 492, 820, 116, 10757, 1941, 141, 4502, 166, 4119]}, 'Perm': {'d': 19, 'gens': [7201450402238639, 13877053326635332, 4018, 106196091744611, 20734746792903011, 23074, 19811, 3991680]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2\\times D_8):D_6', 'transitive_degree': 96, '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: 104096759
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 12593, 'group_order': 384, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
id: 104096770
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 12593, 'group_order': 384, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 8, 'size': 1}
id: 104096781
{'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 12593, 'group_order': 384, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 200, 'size': 1}
id: 104096792
{'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 12593, 'group_order': 384, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 192, 'size': 1}
id: 104096802
{'aut_label': '2D', 'centralizer': '2.c1.a1', 'counter': 5, 'group_counter': 12593, 'group_order': 384, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 2, 'size': 2}
id: 104096803
{'aut_label': '2D', 'centralizer': '2.c1.a1', 'counter': 6, 'group_counter': 12593, 'group_order': 384, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 194, 'size': 2}
id: 104096804
{'aut_label': '2F', 'centralizer': '4.bj1.a1', 'counter': 7, 'group_counter': 12593, 'group_order': 384, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 1, 'size': 4}
id: 104096805
{'aut_label': '2F', 'centralizer': '4.bj1.a1', 'counter': 8, 'group_counter': 12593, 'group_order': 384, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 9, 'size': 4}
id: 104096806
{'aut_label': '2H', 'centralizer': '8.t1.a1', 'counter': 9, 'group_counter': 12593, 'group_order': 384, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 3, 'size': 8}
id: 104096760
{'aut_label': '2I', 'centralizer': '8.bj1.a1', 'counter': 10, 'group_counter': 12593, 'group_order': 384, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 145, 'size': 8}
id: 104096761
{'aut_label': '2J', 'centralizer': '12.r1.a1', 'counter': 11, 'group_counter': 12593, 'group_order': 384, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 6, 'size': 12}
id: 104096762
{'aut_label': '2K', 'centralizer': '24.o1.a1', 'counter': 12, 'group_counter': 12593, 'group_order': 384, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 239, 'size': 24}
id: 104096763
{'aut_label': '3A', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 12593, 'group_order': 384, 'label': '3A', 'order': 3, 'powers': [13, 1], 'representative': 128, 'size': 2}
id: 104096764
{'aut_label': '4A', 'centralizer': '2.f1.a1', 'counter': 14, 'group_counter': 12593, 'group_order': 384, 'label': '4A', 'order': 4, 'powers': [4, 14], 'representative': 104, 'size': 2}
id: 104096765
{'aut_label': '4B', 'centralizer': '2.f1.a1', 'counter': 15, 'group_counter': 12593, 'group_order': 384, 'label': '4B', 'order': 4, 'powers': [4, 15], 'representative': 96, 'size': 2}
id: 104096766
{'aut_label': '4C', 'centralizer': '4.g1.a1', 'counter': 16, 'group_counter': 12593, 'group_order': 384, 'label': '4C', 'order': 4, 'powers': [4, 16], 'representative': 98, 'size': 4}
id: 104096767
{'aut_label': '4D', 'centralizer': '8.bq1.a1', 'counter': 17, 'group_counter': 12593, 'group_order': 384, 'label': '4D', 'order': 4, 'powers': [2, 17], 'representative': 155, 'size': 8}
id: 104096768
{'aut_label': '4E', 'centralizer': '12.s1.a1', 'counter': 18, 'group_counter': 12593, 'group_order': 384, 'label': '4E', 'order': 4, 'powers': [2, 18], 'representative': 4, 'size': 12}
id: 104096769
{'aut_label': '4F', 'centralizer': '12.bd1.a1', 'counter': 19, 'group_counter': 12593, 'group_order': 384, 'label': '4F', 'order': 4, 'powers': [3, 19], 'representative': 36, 'size': 12}
id: 104096771
{'aut_label': '4G', 'centralizer': '12.bf1.a1', 'counter': 20, 'group_counter': 12593, 'group_order': 384, 'label': '4G', 'order': 4, 'powers': [4, 20], 'representative': 38, 'size': 12}
id: 104096772
{'aut_label': '4H1', 'centralizer': '12.k1.a1', 'counter': 21, 'group_counter': 12593, 'group_order': 384, 'label': '4H1', 'order': 4, 'powers': [3, 22], 'representative': 21, 'size': 12}
id: 104096773
{'aut_label': '4H1', 'centralizer': '12.k1.a1', 'counter': 22, 'group_counter': 12593, 'group_order': 384, 'label': '4H-1', 'order': 4, 'powers': [3, 21], 'representative': 29, 'size': 12}
id: 104096774
{'aut_label': '4I', 'centralizer': '24.m1.a1', 'counter': 23, 'group_counter': 12593, 'group_order': 384, 'label': '4I', 'order': 4, 'powers': [3, 23], 'representative': 351, 'size': 24}
id: 104096775
{'aut_label': '4J', 'centralizer': '24.q1.a1', 'counter': 24, 'group_counter': 12593, 'group_order': 384, 'label': '4J', 'order': 4, 'powers': [2, 24], 'representative': 37, 'size': 24}
id: 104096776
{'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 12593, 'group_order': 384, 'label': '6A', 'order': 6, 'powers': [13, 3], 'representative': 72, 'size': 2}
id: 104096777
{'aut_label': '6B', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 12593, 'group_order': 384, 'label': '6B', 'order': 6, 'powers': [13, 4], 'representative': 64, 'size': 2}
id: 104096778
{'aut_label': '6C', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 12593, 'group_order': 384, 'label': '6C', 'order': 6, 'powers': [13, 2], 'representative': 136, 'size': 2}
id: 104096779
{'aut_label': '6D', 'centralizer': '4.a1.a1', 'counter': 28, 'group_counter': 12593, 'group_order': 384, 'label': '6D', 'order': 6, 'powers': [13, 5], 'representative': 130, 'size': 4}
id: 104096780
{'aut_label': '6D', 'centralizer': '4.a1.a1', 'counter': 29, 'group_counter': 12593, 'group_order': 384, 'label': '6E', 'order': 6, 'powers': [13, 6], 'representative': 66, 'size': 4}
id: 104096782
{'aut_label': '6F', 'centralizer': '8.t1.a1', 'counter': 30, 'group_counter': 12593, 'group_order': 384, 'label': '6F', 'order': 6, 'powers': [13, 7], 'representative': 129, 'size': 8}
id: 104096783
{'aut_label': '6F', 'centralizer': '8.t1.a1', 'counter': 31, 'group_counter': 12593, 'group_order': 384, 'label': '6G', 'order': 6, 'powers': [13, 8], 'representative': 137, 'size': 8}
id: 104096784
{'aut_label': '6H1', 'centralizer': '8.t1.a1', 'counter': 32, 'group_counter': 12593, 'group_order': 384, 'label': '6H1', 'order': 6, 'powers': [13, 9], 'representative': 131, 'size': 8}
id: 104096785
{'aut_label': '6H1', 'centralizer': '8.t1.a1', 'counter': 33, 'group_counter': 12593, 'group_order': 384, 'label': '6H-1', 'order': 6, 'powers': [13, 9], 'representative': 67, 'size': 8}
id: 104096786
{'aut_label': '6I', 'centralizer': '16.k1.a1', 'counter': 34, 'group_counter': 12593, 'group_order': 384, 'label': '6I', 'order': 6, 'powers': [13, 10], 'representative': 17, 'size': 16}
id: 104096787
{'aut_label': '8A', 'centralizer': '8.o1.a1', 'counter': 35, 'group_counter': 12593, 'group_order': 384, 'label': '8A', 'order': 8, 'powers': [15, 35], 'representative': 48, 'size': 8}
id: 104096788
{'aut_label': '8B', 'centralizer': '8.p1.a1', 'counter': 36, 'group_counter': 12593, 'group_order': 384, 'label': '8B', 'order': 8, 'powers': [14, 36], 'representative': 58, 'size': 8}
id: 104096789
{'aut_label': '8C1', 'centralizer': '12.o1.a1', 'counter': 37, 'group_counter': 12593, 'group_order': 384, 'label': '8C1', 'order': 8, 'powers': [14, 38], 'representative': 20, 'size': 12}
id: 104096790
{'aut_label': '8C1', 'centralizer': '12.o1.a1', 'counter': 38, 'group_counter': 12593, 'group_order': 384, 'label': '8C-1', 'order': 8, 'powers': [14, 37], 'representative': 28, 'size': 12}
id: 104096791
{'aut_label': '8D1', 'centralizer': '12.o1.a1', 'counter': 39, 'group_counter': 12593, 'group_order': 384, 'label': '8D1', 'order': 8, 'powers': [14, 40], 'representative': 22, 'size': 12}
id: 104096793
{'aut_label': '8D1', 'centralizer': '12.o1.a1', 'counter': 40, 'group_counter': 12593, 'group_order': 384, 'label': '8D3', 'order': 8, 'powers': [14, 39], 'representative': 86, 'size': 12}
id: 104096794
{'aut_label': '12A', 'centralizer': '4.f1.a1', 'counter': 41, 'group_counter': 12593, 'group_order': 384, 'label': '12A', 'order': 12, 'powers': [26, 15], 'representative': 32, 'size': 4}
id: 104096795
{'aut_label': '12B', 'centralizer': '4.f1.a1', 'counter': 42, 'group_counter': 12593, 'group_order': 384, 'label': '12B', 'order': 12, 'powers': [26, 14], 'representative': 40, 'size': 4}
id: 104096796
{'aut_label': '12C', 'centralizer': '8.b1.a1', 'counter': 43, 'group_counter': 12593, 'group_order': 384, 'label': '12C', 'order': 12, 'powers': [26, 16], 'representative': 34, 'size': 8}
id: 104096797
{'aut_label': '12D', 'centralizer': '16.m1.a1', 'counter': 44, 'group_counter': 12593, 'group_order': 384, 'label': '12D', 'order': 12, 'powers': [27, 17], 'representative': 19, 'size': 16}
id: 104096798
{'aut_label': '24A1', 'centralizer': '8.o1.a1', 'counter': 45, 'group_counter': 12593, 'group_order': 384, 'label': '24A1', 'order': 24, 'powers': [41, 35], 'representative': 16, 'size': 8}
id: 104096799
{'aut_label': '24A1', 'centralizer': '8.o1.a1', 'counter': 46, 'group_counter': 12593, 'group_order': 384, 'label': '24A-1', 'order': 24, 'powers': [41, 35], 'representative': 272, 'size': 8}
id: 104096800
{'aut_label': '24B1', 'centralizer': '8.p1.a1', 'counter': 47, 'group_counter': 12593, 'group_order': 384, 'label': '24B1', 'order': 24, 'powers': [42, 36], 'representative': 18, 'size': 8}
id: 104096801
{'aut_label': '24B1', 'centralizer': '8.p1.a1', 'counter': 48, 'group_counter': 12593, 'group_order': 384, 'label': '24B-1', 'order': 24, 'powers': [42, 36], 'representative': 274, 'size': 8}

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: 2645335
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1a', '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], 'schur_index': 1}
id: 2645346
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1b', '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], 'schur_index': 1}
id: 2645357
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1c', '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], 'schur_index': 1}
id: 2645368
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1d', '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], 'schur_index': 1}
id: 2645372
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1e', '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], 'schur_index': 1}
id: 2645373
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1f', '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], 'schur_index': 1}
id: 2645374
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1g', '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], 'schur_index': 1}
id: 2645375
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1h', '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], 'schur_index': 1}
id: 2645376
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1i', '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], 'schur_index': 1}
id: 2645336
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1j', '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], 'schur_index': 1}
id: 2645337
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1k', '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], 'schur_index': 1}
id: 2645338
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1l', '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], 'schur_index': 1}
id: 2645339
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1m', '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], 'schur_index': 1}
id: 2645340
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1n', '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], 'schur_index': 1}
id: 2645341
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1o', '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], 'schur_index': 1}
id: 2645342
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.1p', '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], 'schur_index': 1}
id: 2645343
{'cdim': 2, 'counter': 17, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
id: 2645344
{'cdim': 2, 'counter': 18, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 0, 0, 0, 0, -2, 0, 2, -2, -2, 2, 0, 0, 2, 2, 0, -2, 0, 0, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645345
{'cdim': 2, 'counter': 19, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 2, 0, 2, -2, -2, 2, 0, 0, -2, -2, 0, 2, 0, 0, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645347
{'cdim': 2, 'counter': 20, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, 0, 2, -2, -2, -2, 0, 0, 2, -2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645348
{'cdim': 2, 'counter': 21, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, -2, -2, -2, 0, 0, -2, 2, 0, -2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645349
{'cdim': 2, 'counter': 22, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 0, 0, -1, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 2, -2, 0, 0, 0, 0, -1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
id: 2645350
{'cdim': 2, 'counter': 23, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 0, 0, -1, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -2, 2, 0, 0, 0, 0, -1, -1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
id: 2645351
{'cdim': 2, 'counter': 24, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, -1, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -2, 2, 0, 0, 0, 0, -1, -1, 1, -1, 1, 1, -1, -1], 'schur_index': 1}
id: 2645352
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2i', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, -2, 2, 0, 0, -1, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 2, -2, 0, 0, 0, 0, -1, -1, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
id: 2645353
{'cdim': 2, 'counter': 26, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, -1, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, -1, -1], 'schur_index': 1}
id: 2645354
{'cdim': 2, 'counter': 27, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2k', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 0, 0, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
id: 2645355
{'cdim': 2, 'counter': 28, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2l', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, -1, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -2, -2, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
id: 2645356
{'cdim': 2, 'counter': 29, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2m', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -4, 4, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645358
{'cdim': 2, 'counter': 30, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.2n', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645359
{'cdim': 4, 'counter': 31, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4a', 'multiplicity': 1, 'nt': [8, 15], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645360
{'cdim': 4, 'counter': 32, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4b', 'multiplicity': 1, 'nt': [8, 15], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645361
{'cdim': 4, 'counter': 33, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4c', 'multiplicity': 1, 'nt': [8, 22], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645362
{'cdim': 4, 'counter': 34, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4d', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, -2, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645363
{'cdim': 4, 'counter': 35, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4e', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, -2, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645364
{'cdim': 4, 'counter': 36, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4f', 'multiplicity': 1, 'nt': [24, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -4, 4, 0, 0, 0, 0, -2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
id: 2645365
{'cdim': 4, 'counter': 37, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4g', 'multiplicity': 1, 'nt': [24, 18], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 0, 0, 0, 0, -2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
id: 2645366
{'cdim': 4, 'counter': 38, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4h', 'multiplicity': 2, 'nt': [16, 80], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, -8, 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: 2645367
{'cdim': 4, 'counter': 39, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4i', 'multiplicity': 2, 'nt': [24, 95], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645369
{'cdim': 4, 'counter': 40, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4j', 'multiplicity': 2, 'nt': [24, 141], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645370
{'cdim': 4, 'counter': 41, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.4k', 'multiplicity': 2, 'nt': [24, 141], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 2645371
{'cdim': 8, 'counter': 42, 'faithful': False, 'group': '384.12593', 'group_order': 384, 'image': None, 'label': '384.12593.8a', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}

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: 3502857
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 384, 'label': '384.12593.1a', '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]]]}
id: 3502868
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.o1.a1', 'kernel_order': 192, 'label': '384.12593.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
id: 3502879
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.n1.a1', 'kernel_order': 192, 'label': '384.12593.1c', '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]]]}
id: 3502890
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.m1.a1', 'kernel_order': 192, 'label': '384.12593.1d', '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]]]}
id: 3502900
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.l1.a1', 'kernel_order': 192, 'label': '384.12593.1e', '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]]]}
id: 3502901
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.k1.a1', 'kernel_order': 192, 'label': '384.12593.1f', '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]]]}
id: 3502902
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.j1.a1', 'kernel_order': 192, 'label': '384.12593.1g', '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]]]}
id: 3502903
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.i1.a1', 'kernel_order': 192, 'label': '384.12593.1h', '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]]]}
id: 3502904
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1.a1', 'kernel_order': 192, 'label': '384.12593.1i', '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]]]}
id: 3502858
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 192, 'label': '384.12593.1j', '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]]]}
id: 3502859
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 192, 'label': '384.12593.1k', '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]]]}
id: 3502860
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 192, 'label': '384.12593.1l', '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]]]}
id: 3502861
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 192, 'label': '384.12593.1m', '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]]]}
id: 3502862
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 192, 'label': '384.12593.1n', '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]]]}
id: 3502863
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 192, 'label': '384.12593.1o', '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]]]}
id: 3502864
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 384, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 192, 'label': '384.12593.1p', '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]]]}
id: 3502865
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 64, 'label': '384.12593.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
id: 3502866
{'center': '4.c1.a1', 'center_index': 4, 'center_order': 96, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.s1.a1', 'kernel_order': 48, 'label': '384.12593.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502867
{'center': '4.c1.a1', 'center_index': 4, 'center_order': 96, 'counter': 19, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.h1.a1', 'kernel_order': 48, 'label': '384.12593.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502869
{'center': '4.c1.a1', 'center_index': 4, 'center_order': 96, 'counter': 20, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 48, 'label': '384.12593.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502870
{'center': '4.c1.a1', 'center_index': 4, 'center_order': 96, 'counter': 21, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1.a1', 'kernel_order': 48, 'label': '384.12593.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502871
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 22, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.g1.a1', 'kernel_order': 32, 'label': '384.12593.2f', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
id: 3502872
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 23, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.f1.a1', 'kernel_order': 32, 'label': '384.12593.2g', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
id: 3502873
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 24, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.e1.a1', 'kernel_order': 32, 'label': '384.12593.2h', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
id: 3502874
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 25, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.d1.a1', 'kernel_order': 32, 'label': '384.12593.2i', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
id: 3502875
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 26, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1.a1', 'kernel_order': 32, 'label': '384.12593.2j', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
id: 3502876
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 27, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 32, 'label': '384.12593.2k', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
id: 3502877
{'center': '6.a1.a1', 'center_index': 6, 'center_order': 64, 'counter': 28, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 32, 'label': '384.12593.2l', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
id: 3502878
{'center': '4.l1.a1', 'center_index': 4, 'center_order': 96, 'counter': 29, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.b1', 'kernel_order': 24, 'label': '384.12593.2m1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502880
{'center': '4.l1.a1', 'center_index': 4, 'center_order': 96, 'counter': 30, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.b1', 'kernel_order': 24, 'label': '384.12593.2m2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502881
{'center': '4.l1.a1', 'center_index': 4, 'center_order': 96, 'counter': 31, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.a1', 'kernel_order': 24, 'label': '384.12593.2n1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502882
{'center': '4.l1.a1', 'center_index': 4, 'center_order': 96, 'counter': 32, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.h1.a1', 'kernel_order': 24, 'label': '384.12593.2n2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502883
{'center': '16.a1.a1', 'center_index': 16, 'center_order': 24, 'counter': 33, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1.b1', 'kernel_order': 12, 'label': '384.12593.4a', 'nt': [8, 15], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502884
{'center': '16.a1.a1', 'center_index': 16, 'center_order': 24, 'counter': 34, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '32.43', 'image_order': 32, 'indicator': 1, 'kernel': '32.b1.a1', 'kernel_order': 12, 'label': '384.12593.4b', 'nt': [8, 15], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502885
{'center': '16.c1.a1', 'center_index': 16, 'center_order': 24, 'counter': 35, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '32.49', 'image_order': 32, 'indicator': 1, 'kernel': '32.c1.a1', 'kernel_order': 12, 'label': '384.12593.4c', 'nt': [8, 22], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502886
{'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 36, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.c1.a1', 'kernel_order': 8, 'label': '384.12593.4d', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502887
{'center': '24.a1.a1', 'center_index': 24, 'center_order': 16, 'counter': 37, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1.a1', 'kernel_order': 8, 'label': '384.12593.4e', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502888
{'center': '24.b1.a1', 'center_index': 24, 'center_order': 16, 'counter': 38, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '48.39', 'image_order': 48, 'indicator': -1, 'kernel': '48.d1.b1', 'kernel_order': 8, 'label': '384.12593.4f', 'nt': [24, 18], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502889
{'center': '24.b1.a1', 'center_index': 24, 'center_order': 16, 'counter': 39, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '48.39', 'image_order': 48, 'indicator': -1, 'kernel': '48.d1.a1', 'kernel_order': 8, 'label': '384.12593.4g', 'nt': [24, 18], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502891
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 12, 'counter': 40, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '64.257', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 6, 'label': '384.12593.4h1', 'nt': [16, 80], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502892
{'center': '32.a1.a1', 'center_index': 32, 'center_order': 12, 'counter': 41, 'cyclotomic_n': 8, 'dim': 4, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '64.257', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1.a1', 'kernel_order': 6, 'label': '384.12593.4h2', 'nt': [16, 80], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502893
{'center': '48.b1.a1', 'center_index': 48, 'center_order': 8, 'counter': 42, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '96.211', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 4, 'label': '384.12593.4i1', 'nt': [24, 95], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502894
{'center': '48.b1.a1', 'center_index': 48, 'center_order': 8, 'counter': 43, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '96.211', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 4, 'label': '384.12593.4i2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 3502895
{'center': '48.a1.a1', 'center_index': 48, 'center_order': 8, 'counter': 44, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [6, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '96.118', 'image_order': 96, 'indicator': 0, 'kernel': '96.b1.b1', 'kernel_order': 4, 'label': '384.12593.4j1', 'nt': [24, 141], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-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]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]]]}
id: 3502896
{'center': '48.a1.a1', 'center_index': 48, 'center_order': 8, 'counter': 45, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [6, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '96.118', 'image_order': 96, 'indicator': 0, 'kernel': '96.b1.b1', 'kernel_order': 4, 'label': '384.12593.4j2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-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]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]]]}
id: 3502897
{'center': '48.a1.a1', 'center_index': 48, 'center_order': 8, 'counter': 46, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [6, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '96.118', 'image_order': 96, 'indicator': 0, 'kernel': '96.b1.a1', 'kernel_order': 4, 'label': '384.12593.4k1', 'nt': [24, 141], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]]]}
id: 3502898
{'center': '48.a1.a1', 'center_index': 48, 'center_order': 8, 'counter': 47, 'cyclotomic_n': 24, 'dim': 4, 'faithful': False, 'field': [6, 0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '96.118', 'image_order': 96, 'indicator': 0, 'kernel': '96.b1.a1', 'kernel_order': 4, 'label': '384.12593.4k2', 'nt': [24, 2], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[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]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]], [[1, 1], [-1, 3], [1, 5], [2, 7]], [[-1, 1], [1, 3], [-1, 5], [-2, 7]]]}
id: 3502899
{'center': '96.a1.a1', 'center_index': 96, 'center_order': 4, 'counter': 48, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '384.12593', 'group_counter': 12593, 'group_order': 384, 'image': None, 'image_isoclass': '192.1333', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1.a1', 'kernel_order': 2, 'label': '384.12593.8a', 'nt': [48, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}

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
Showing the first 100 of 462 matching records in this table.

id: 52890354
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 384, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '384.12593.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.12593', 'subgroup_hash': 12593, 'subgroup_order': 384, 'subgroup_tex': '(C_2\\times D_8):D_6', 'supersolvable': True, 'sylow': 0}
id: 52890465
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 192, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.880', 'subgroup_hash': 880, 'subgroup_order': 192, 'subgroup_tex': 'C_3\\times D_4:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890576
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1360', 'subgroup_hash': 1360, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:D_6', 'supersolvable': True, 'sylow': 0}
id: 52890687
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.773', 'subgroup_hash': 773, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_6.D_8', 'supersolvable': True, 'sylow': 0}
id: 52890761
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1177', 'subgroup_hash': 1177, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times D_4).D_6', 'supersolvable': True, 'sylow': 0}
id: 52890772
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.597', 'subgroup_hash': 597, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_6):D_8', 'supersolvable': True, 'sylow': 0}
id: 52890783
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.289', 'subgroup_hash': 289, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_6):\\OD_{16}', 'supersolvable': True, 'sylow': 0}
id: 52890794
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.294', 'subgroup_hash': 294, 'subgroup_order': 192, 'subgroup_tex': 'C_2^3.D_{12}', 'supersolvable': True, 'sylow': 0}
id: 52890805
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.h1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.715', 'subgroup_hash': 715, 'subgroup_order': 192, 'subgroup_tex': 'D_6:D_8', 'supersolvable': True, 'sylow': 0}
id: 52890355
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.i1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.711', 'subgroup_hash': 711, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}:(C_2\\times C_4)', 'supersolvable': True, 'sylow': 0}
id: 52890366
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.j1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.329', 'subgroup_hash': 329, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_8):D_6', 'supersolvable': True, 'sylow': 0}
id: 52890377
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.k1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.322', 'subgroup_hash': 322, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}.(C_2\\times Q_8)', 'supersolvable': True, 'sylow': 0}
id: 52890388
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.l1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.718', 'subgroup_hash': 718, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890399
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.m1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.709', 'subgroup_hash': 709, 'subgroup_order': 192, 'subgroup_tex': '(C_6\\times D_8):C_2', 'supersolvable': True, 'sylow': 0}
id: 52890410
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.n1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.338', 'subgroup_hash': 338, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_8).D_6', 'supersolvable': True, 'sylow': 0}
id: 52890421
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 192, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.2.o1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.323', 'subgroup_hash': 323, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_8).D_6', 'supersolvable': True, 'sylow': 0}
id: 52890432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '384.12593.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2050', 'subgroup_hash': 2050, 'subgroup_order': 128, 'subgroup_tex': 'D_4^2:C_2', 'supersolvable': True, 'sylow': 2}
id: 52890443
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 96, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.221', 'subgroup_hash': 221, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_2^3', 'supersolvable': True, 'sylow': 0}
id: 52890454
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 96, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.168', 'subgroup_hash': 168, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890466
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.135', 'subgroup_hash': 135, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890477
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.137', 'subgroup_hash': 137, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890488
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.132', 'subgroup_hash': 132, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.D_{12}', 'supersolvable': True, 'sylow': 0}
id: 52890499
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.48', 'subgroup_hash': 48, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2:C_{24}', 'supersolvable': True, 'sylow': 0}
id: 52890510
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.127', 'subgroup_hash': 127, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.C_2^3', 'supersolvable': True, 'sylow': 0}
id: 52890521
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 96, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.179', 'subgroup_hash': 179, 'subgroup_order': 96, 'subgroup_tex': 'C_6\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 52890532
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.209', 'subgroup_hash': 209, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times D_6', 'supersolvable': True, 'sylow': 0}
id: 52890543
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 96, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.52', 'subgroup_hash': 52, 'subgroup_order': 96, 'subgroup_tex': 'D_4:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 52890554
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.141', 'subgroup_hash': 141, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
id: 52890565
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.39', 'subgroup_hash': 39, 'subgroup_order': 96, 'subgroup_tex': 'C_6.D_8', 'supersolvable': True, 'sylow': 0}
id: 52890577
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.39', 'subgroup_hash': 39, 'subgroup_order': 96, 'subgroup_tex': 'C_6.D_8', 'supersolvable': True, 'sylow': 0}
id: 52890588
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 96, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.179', 'subgroup_hash': 179, 'subgroup_order': 96, 'subgroup_tex': 'C_6\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 52890599
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.145', 'subgroup_hash': 145, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890610
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.147', 'subgroup_hash': 147, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890621
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 96, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.52', 'subgroup_hash': 52, 'subgroup_order': 96, 'subgroup_tex': 'D_4:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 52890632
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.39', 'subgroup_hash': 39, 'subgroup_order': 96, 'subgroup_tex': 'C_6.D_8', 'supersolvable': True, 'sylow': 0}
id: 52890643
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.39', 'subgroup_hash': 39, 'subgroup_order': 96, 'subgroup_tex': 'C_6.D_8', 'supersolvable': True, 'sylow': 0}
id: 52890654
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.145', 'subgroup_hash': 145, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890665
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.138', 'subgroup_hash': 138, 'subgroup_order': 96, 'subgroup_tex': 'C_6:D_8', 'supersolvable': True, 'sylow': 0}
id: 52890676
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.141', 'subgroup_hash': 141, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
id: 52890688
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.39', 'subgroup_hash': 39, 'subgroup_order': 96, 'subgroup_tex': 'C_6.D_8', 'supersolvable': True, 'sylow': 0}
id: 52890699
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.99', 'subgroup_hash': 99, 'subgroup_order': 96, 'subgroup_tex': '(C_4\\times S_3):C_4', 'supersolvable': True, 'sylow': 0}
id: 52890710
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.27', 'subgroup_hash': 27, 'subgroup_order': 96, 'subgroup_tex': 'D_6:C_8', 'supersolvable': True, 'sylow': 0}
id: 52890721
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.z1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.z1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.107', 'subgroup_hash': 107, 'subgroup_order': 96, 'subgroup_tex': 'C_8:D_6', 'supersolvable': True, 'sylow': 0}
id: 52890732
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.ba1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.ba1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.16', 'subgroup_hash': 16, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890743
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.bb1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bb1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.28', 'subgroup_hash': 28, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890754
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.bc1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bc1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.28', 'subgroup_hash': 28, 'subgroup_order': 96, 'subgroup_tex': 'D_{12}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890758
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.bd1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bd1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.97', 'subgroup_hash': 97, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.Q_8', 'supersolvable': True, 'sylow': 0}
id: 52890759
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.be1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.be1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.14', 'subgroup_hash': 14, 'subgroup_order': 96, 'subgroup_tex': 'C_6.D_8', 'supersolvable': True, 'sylow': 0}
id: 52890760
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.bf1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bf1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.22', 'subgroup_hash': 22, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890762
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.bg1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bg1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.21', 'subgroup_hash': 21, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.D_4', 'supersolvable': True, 'sylow': 0}
id: 52890763
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.bh1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bh1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.24', 'subgroup_hash': 24, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890764
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 96, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.4.bi1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bi1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.24', 'subgroup_hash': 24, 'subgroup_order': 96, 'subgroup_tex': 'C_{24}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890765
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.4.bj1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bj1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.219', 'subgroup_hash': 219, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:D_6', 'supersolvable': True, 'sylow': 0}
id: 52890766
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.4.bk1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bk1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.160', 'subgroup_hash': 160, 'subgroup_order': 96, 'subgroup_tex': 'C_2^4:S_3', 'supersolvable': True, 'sylow': 0}
id: 52890767
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.4.bl1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bl1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.146', 'subgroup_hash': 146, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
id: 52890768
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.4.bm1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bm1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.141', 'subgroup_hash': 141, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
id: 52890769
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.4.bn1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bn1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.144', 'subgroup_hash': 144, 'subgroup_order': 96, 'subgroup_tex': 'D_6:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890770
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.4.bo1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bo1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.146', 'subgroup_hash': 146, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
id: 52890771
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.4.bp1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bp1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.93', 'subgroup_hash': 93, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2.D_{12}', 'supersolvable': True, 'sylow': 0}
id: 52890773
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.4.bq1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.bq1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.86', 'subgroup_hash': 86, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3.D_6', 'supersolvable': True, 'sylow': 0}
id: 52890774
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 64, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.128', 'subgroup_hash': 128, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890775
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
id: 52890776
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.95', 'subgroup_hash': 95, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.D_8', 'supersolvable': True, 'sylow': 0}
id: 52890777
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.234', 'subgroup_hash': 234, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_2^2', 'supersolvable': True, 'sylow': 0}
id: 52890778
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.147', 'subgroup_hash': 147, 'subgroup_order': 64, 'subgroup_tex': 'C_8:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890779
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.116', 'subgroup_hash': 116, 'subgroup_order': 64, 'subgroup_tex': 'C_8:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890780
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.162', 'subgroup_hash': 162, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
id: 52890781
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.128', 'subgroup_hash': 128, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890782
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.123', 'subgroup_hash': 123, 'subgroup_order': 64, 'subgroup_tex': 'D_8:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890784
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.99', 'subgroup_hash': 99, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
id: 52890785
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.159', 'subgroup_hash': 159, 'subgroup_order': 64, 'subgroup_tex': 'D_4.Q_8', 'supersolvable': True, 'sylow': 0}
id: 52890786
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.150', 'subgroup_hash': 150, 'subgroup_order': 64, 'subgroup_tex': 'C_8:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890787
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.140', 'subgroup_hash': 140, 'subgroup_order': 64, 'subgroup_tex': 'C_4:D_8', 'supersolvable': True, 'sylow': 0}
id: 52890788
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.163', 'subgroup_hash': 163, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
id: 52890789
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.6.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.171', 'subgroup_hash': 171, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2.C_2^2', 'supersolvable': True, 'sylow': 0}
id: 52890790
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 48, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890791
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 48, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 52890792
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 48, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.19', 'subgroup_hash': 19, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
id: 52890793
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 48, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 52890795
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 48, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 52890796
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 48, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 52890797
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 48, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
id: 52890798
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 48, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890799
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 48, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
id: 52890800
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': True, 'core_order': 48, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 52890801
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 48, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890802
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 48, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890803
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 48, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890804
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 48, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
id: 52890806
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 48, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 52890807
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': True, 'core_order': 48, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 52890808
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 48, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
id: 52890809
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 48, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.r1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.r1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
id: 52890810
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 48, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.12593.8.s1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.s1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.12', 'subgroup_hash': 12, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
id: 52890811
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.8.t1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.t1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.52', 'subgroup_hash': 52, 'subgroup_order': 48, 'subgroup_tex': 'C_2^3\\times C_6', 'supersolvable': True, 'sylow': 0}
id: 52890812
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.8.u1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.u1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 52890813
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.8.v1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.v1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.43', 'subgroup_hash': 43, 'subgroup_order': 48, 'subgroup_tex': 'C_6:D_4', 'supersolvable': True, 'sylow': 0}
id: 52890814
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.8.w1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.w1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.42', 'subgroup_hash': 42, 'subgroup_order': 48, 'subgroup_tex': 'C_6.C_2^3', 'supersolvable': True, 'sylow': 0}
id: 52890815
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.8.x1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.x1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 52890356
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '384.12593', 'ambient_counter': 12593, 'ambient_order': 384, 'ambient_tex': '(C_2\\times D_8):D_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.12593.8.y1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.y1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.51', 'subgroup_hash': 51, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times D_6', 'supersolvable': True, 'sylow': 0}

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
Showing the first 100 of 462 matching records in this table.

id: 52890354
{'ambient': '384.12593', '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': '96.a1.a1', 'complements': ['384.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '2.h1.a1', '2.i1.a1', '2.j1.a1', '2.k1.a1', '2.l1.a1', '2.m1.a1', '2.n1.a1', '2.o1.a1', '3.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 8, 288, 2, 48, 128, 192, 4], 'label': '384.12593.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '2.h1.a1', '2.i1.a1', '2.j1.a1', '2.k1.a1', '2.l1.a1', '2.m1.a1', '2.n1.a1', '2.o1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890355
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '2.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.d1.b1', '192.h1.a1', '192.f1.a1', '192.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.h1.a1', '4.k1.a1', '4.l1.a1', '4.v1.a1', '4.w1.a1', '4.bf1.a1', '4.bh1.a1', '6.i1.a1'], 'core': '2.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 192, 288, 4, 128, 48, 8], 'label': '384.12593.2.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.i1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.h1.a1', '4.l1.a1', '4.k1.a1', '4.v1.a1', '4.w1.a1', '4.bh1.a1', '4.bf1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890356
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '4.bj1.a1', '4.bn1.a1'], 'contains': ['16.b1.a1', '16.i1.a1', '16.l1.a1', '16.u1.a1', '16.u1.a2', '16.ba1.a1', '16.bi1.a1', '16.bi1.b1', '24.o1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 128, 6, 8, 192], 'label': '384.12593.8.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890357
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '4.bk1.a1', '4.bo1.a1'], 'contains': ['16.g1.a1', '16.i1.a1', '16.l1.a1', '16.bj1.a1', '16.bj1.b1', '24.p1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 128, 102, 8, 192], 'label': '384.12593.8.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890358
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.bj1.a1', '4.bo1.a1'], 'contains': ['16.e1.a1', '16.i1.a1', '16.p1.a1', '16.v1.a1', '16.v1.a2', '24.q1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 128, 4, 192, 8], 'label': '384.12593.8.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890359
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '4.bk1.a1', '4.bn1.a1'], 'contains': ['16.f1.a1', '16.i1.a1', '16.p1.a1', '24.r1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 128, 100, 200, 192], 'label': '384.12593.8.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890360
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1', '4.bj1.a1', '4.bn1.a1'], 'contains': ['16.b1.a1', '16.j1.a1', '16.p1.a1', '16.w1.a1', '16.w1.a2', '24.s1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 128, 6, 192, 8], 'label': '384.12593.8.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.o1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890361
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1.a1', '4.bj1.a1', '4.bo1.a1'], 'contains': ['16.e1.a1', '16.j1.a1', '16.l1.a1', '16.x1.a1', '16.x1.a2', '24.t1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 128, 4, 192, 8], 'label': '384.12593.8.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.p1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890362
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1.a1', '4.bk1.a1', '4.bn1.a1'], 'contains': ['16.f1.a1', '16.j1.a1', '16.l1.a1', '16.bb1.a1', '24.u1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 128, 100, 192, 200], 'label': '384.12593.8.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.p1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890363
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1', '4.bk1.a1', '4.bo1.a1'], 'contains': ['16.g1.a1', '16.j1.a1', '16.p1.a1', '24.v1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 128, 102, 8, 192], 'label': '384.12593.8.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.o1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890364
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.t1.a1', '4.bl1.a1', '4.bp1.a1'], 'contains': ['16.b1.a1', '16.k1.a1', '16.o1.a1', '16.bc1.a1', '24.w1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [145, 128, 6, 192, 200], 'label': '384.12593.8.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.t1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890365
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.bp1.a1', '4.bq1.a1'], 'contains': ['16.d1.a1', '16.k1.a1', '16.m1.a1', '24.x1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [145, 192, 98, 128, 200], 'label': '384.12593.8.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890366
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '2.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.d1.b1', '192.g1.a1', '192.f1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.i1.a1', '4.j1.a1', '4.l1.a1', '4.x1.a1', '4.z1.a1', '4.ba1.a1', '4.bb1.a1', '6.j1.a1'], 'core': '2.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 192, 288, 58, 128, 20, 104], 'label': '384.12593.2.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.j1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.i1.a1', '4.j1.a1', '4.l1.a1', '4.x1.a1', '4.z1.a1', '4.ba1.a1', '4.bb1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890367
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.v1.a1', '4.bl1.a1', '4.bq1.a1'], 'contains': ['16.e1.a1', '16.k1.a1', '16.n1.a1', '24.y1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [145, 128, 4, 8, 192], 'label': '384.12593.8.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.v1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890368
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.v1.a1', '4.bm1.a1', '4.bp1.a1'], 'contains': ['16.f1.a1', '16.k1.a1', '16.n1.a1', '16.bd1.a1', '24.z1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [145, 128, 100, 192, 200], 'label': '384.12593.8.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.v1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890369
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.t1.a1', '4.bm1.a1', '4.bq1.a1'], 'contains': ['16.g1.a1', '16.k1.a1', '16.o1.a1', '24.ba1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [145, 128, 102, 8, 192], 'label': '384.12593.8.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.t1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890370
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.x1.a1', '4.bl1.a1', '4.bp1.a1'], 'contains': ['16.b1.a1', '16.m1.a1', '16.n1.a1', '24.bd1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [21, 128, 6, 200, 192], 'label': '384.12593.8.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.x1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890371
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.bn1.a1', '4.bo1.a1'], 'contains': ['16.d1.a1', '16.l1.a1', '16.p1.a1', '24.be1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5, 128, 98, 8, 192], 'label': '384.12593.8.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890372
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.bp1.a1', '4.bq1.a1'], 'contains': ['16.d1.a1', '16.n1.a1', '16.o1.a1', '24.bn1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [21, 128, 98, 200, 192], 'label': '384.12593.8.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890373
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bd1.a1', '4.bl1.a1', '4.bq1.a1'], 'contains': ['16.e1.a1', '16.m1.a1', '16.o1.a1', '24.bo1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [155, 128, 4, 8, 192], 'label': '384.12593.8.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bd1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890374
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bd1.a1', '4.bm1.a1', '4.bp1.a1'], 'contains': ['16.f1.a1', '16.m1.a1', '16.o1.a1', '24.bp1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [155, 128, 100, 8, 192], 'label': '384.12593.8.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bd1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890375
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.j1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.x1.a1', '4.bm1.a1', '4.bq1.a1'], 'contains': ['16.g1.a1', '16.m1.a1', '16.n1.a1', '24.bq1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [21, 128, 102, 200, 192], 'label': '384.12593.8.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.x1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '8.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890376
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bj1.a1'], 'contains': ['16.q1.a1', '16.s1.a1', '16.t1.a1', '16.u1.a1', '16.v1.a1', '16.w1.a1', '16.x1.a1', '24.br1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 128, 2, 4, 8], 'label': '384.12593.8.br1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.bj1.a1', 'old_label': '8.br1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890377
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '2.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.d1.b1', '192.h1.a1', '192.g1.a1', '192.f1.a1', '192.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.j1.a1', '4.k1.a1', '4.m1.a1', '4.bd1.a1', '4.be1.a1', '4.bg1.a1', '4.bi1.a1', '6.k1.a1'], 'core': '2.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 192, 288, 58, 128, 4, 104], 'label': '384.12593.2.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.k1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.j1.a1', '4.k1.a1', '4.m1.a1', '4.bd1.a1', '4.be1.a1', '4.bg1.a1', '4.bi1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890378
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bj1.a1'], 'contains': ['16.q1.a1', '16.s1.a1', '16.t1.a1', '16.u1.a2', '16.v1.a2', '16.w1.a2', '16.x1.a2', '24.br1.a2'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 128, 2, 196, 8], 'label': '384.12593.8.br1.a2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.bj1.a1', 'old_label': '8.br1.a2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1.a2', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890379
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bj1.a1'], 'contains': ['16.q1.b1', '16.s1.b1', '16.t1.b1', '16.u1.a1', '16.v1.a2', '16.w1.a1', '16.x1.a2', '24.br1.b1'], 'core': '32.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 128, 194, 196, 8], 'label': '384.12593.8.br1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.bj1.a1', 'old_label': '8.br1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890380
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bj1.a1'], 'contains': ['16.q1.b1', '16.s1.b1', '16.t1.b1', '16.u1.a2', '16.v1.a1', '16.w1.a2', '16.x1.a1', '24.br1.b2'], 'core': '32.b1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 128, 194, 4, 8], 'label': '384.12593.8.br1.b2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.bj1.a1', 'old_label': '8.br1.b2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1.b2', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890381
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.be1.a1', '16.be1.b1', '16.bf1.a1', '16.bh1.a1', '16.bh1.b1', '16.bk1.a1', '16.bl1.a1', '24.bs1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 192, 2, 104, 128], 'label': '384.12593.8.bs1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1.a1', 'old_label': '8.bs1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bs1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890382
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.h1.a1', '16.be1.a1', '16.bg1.a1', '16.bh1.a1', '16.bm1.a1', '24.bt1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 192, 2, 96, 128], 'label': '384.12593.8.bt1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.bt1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bt1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890383
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.h1.b1', '16.be1.b1', '16.bg1.a1', '16.bh1.b1', '16.bm1.a1', '24.bt1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 192, 2, 96, 128], 'label': '384.12593.8.bt1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.bt1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bt1.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890384
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1'], 'contains': ['16.bf1.a1', '16.bu1.a1', '16.bv1.a1', '24.bu1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [2, 128, 20, 104, 192], 'label': '384.12593.8.bu1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1.a1', 'old_label': '8.bu1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890385
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.h1.a1', '16.bo1.a1', '16.bw1.a1', '24.bv1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 192, 48, 128, 288], 'label': '384.12593.8.bv1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.i1.a1', 'old_label': '8.bv1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bv1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890386
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1'], 'contains': ['16.h1.b1', '16.bo1.a1', '16.bw1.a1', '24.bv1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 192, 48, 128, 288], 'label': '384.12593.8.bv1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.i1.a1', 'old_label': '8.bv1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bv1.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890387
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.bi1.a1', '16.bi1.b1', '16.bj1.a1', '16.bj1.b1', '16.bk1.a1', '16.bp1.a1', '16.br1.a1', '24.bw1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1, 128, 6, 104, 192], 'label': '384.12593.8.bw1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '8.bw1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bw1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890388
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '2.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.d1.b1', '192.e1.a1', '192.e1.b1', '192.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.n1.a1', '4.o1.a1', '4.s1.a1', '4.t1.a1', '4.w1.a1', '4.z1.a1', '4.bi1.a1', '6.l1.a1'], 'core': '2.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [145, 192, 288, 58, 128, 20, 296], 'label': '384.12593.2.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.l1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.n1.a1', '4.o1.a1', '4.s1.a1', '4.t1.a1', '4.w1.a1', '4.z1.a1', '4.bi1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890389
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.h1.a1', '16.bi1.a1', '16.bj1.a1', '16.bq1.a1', '16.bs1.a1', '24.bx1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 128, 6, 96, 192], 'label': '384.12593.8.bx1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.j1.a1', 'old_label': '8.bx1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bx1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890390
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1'], 'contains': ['16.h1.b1', '16.bi1.b1', '16.bj1.b1', '16.bq1.a1', '16.bs1.a1', '24.bx1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9, 128, 6, 96, 192], 'label': '384.12593.8.bx1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.j1.a1', 'old_label': '8.bx1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bx1.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890391
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.n1.a1'], 'contains': ['16.bl1.a1', '16.bn1.a1', '16.bt1.a1', '24.by1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [145, 192, 58, 128, 296], 'label': '384.12593.8.by1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.n1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.n1.a1', 'old_label': '8.by1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.by1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890392
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.u1.a1'], 'contains': ['16.bn1.a1', '16.br1.a1', '16.bv1.a1', '24.bz1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [145, 128, 22, 296, 192], 'label': '384.12593.8.bz1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.u1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.u1.a1', 'old_label': '8.bz1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bz1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890393
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '8.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.z1.a1'], 'contains': ['16.bp1.a1', '16.bt1.a1', '16.bu1.a1', '24.ca1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [58, 128, 20, 104, 192], 'label': '384.12593.8.ca1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.z1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.z1.a1', 'old_label': '8.ca1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ca1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890394
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '24.h1.a1', '24.n1.a1', '24.bs1.a1', '24.bt1.a1', '24.bt1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 2, 8, 96], 'label': '384.12593.12.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890395
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['32.be1.a1', '32.be1.a2', '32.be1.b1', '32.be1.b2'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.e1.a1', '24.i1.a1', '24.x1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [145, 2, 96], 'label': '384.12593.12.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.d1.a1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890396
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.c1.a1', 'complements': ['32.be1.a1', '32.be1.a2', '32.be1.b1', '32.be1.b2'], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.a1.a1', '6.f1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.f1.a1', '24.g1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 48], 'label': '384.12593.12.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.f1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.f1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890397
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.a1.a1', '6.h1.a1', '6.i1.a1'], 'contains': ['24.b1.a1', '24.d1.a1', '24.f1.a1', '24.bv1.a1', '24.bv1.b1'], 'core': '12.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 8, 48], 'label': '384.12593.12.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.d1.a1', 'normal_contained_in': ['4.h1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.d1.a1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890398
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '6.a1.a1', '6.j1.a1', '6.k1.a1'], 'contains': ['24.b1.a1', '24.e1.a1', '24.g1.a1'], 'core': '12.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 58], 'label': '384.12593.12.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.e1.a1', 'normal_contained_in': ['4.j1.a1', '6.a1.a1'], 'normal_contains': ['24.b1.a1', '24.e1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890399
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '2.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.d1.b1', '192.h1.a1', '192.e1.a1', '192.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.n1.a1', '4.p1.a1', '4.r1.a1', '4.u1.a1', '4.v1.a1', '4.bb1.a1', '4.bg1.a1', '6.m1.a1'], 'core': '2.m1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [145, 192, 288, 58, 128, 4, 296], 'label': '384.12593.2.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.m1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.n1.a1', '4.p1.a1', '4.r1.a1', '4.u1.a1', '4.v1.a1', '4.bb1.a1', '4.bg1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890400
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['32.be1.a1', '32.be1.a2', '32.be1.b1', '32.be1.b2'], 'conjugacy_class_count': 1, 'contained_in': ['4.n1.a1', '6.a1.a1', '6.l1.a1', '6.m1.a1'], 'contains': ['24.c1.a1', '24.d1.a1', '24.g1.a1', '24.by1.a1'], 'core': '12.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [145, 58, 96], 'label': '384.12593.12.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.f1.a1', 'normal_contained_in': ['4.n1.a1', '6.a1.a1'], 'normal_contains': ['24.c1.a1', '24.d1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890401
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.a1.a1', 'complements': ['32.be1.a1', '32.be1.a2', '32.be1.b1', '32.be1.b2'], 'conjugacy_class_count': 1, 'contained_in': ['4.q1.a1', '6.a1.a1', '6.n1.a1', '6.o1.a1'], 'contains': ['24.c1.a1', '24.e1.a1', '24.f1.a1'], 'core': '12.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 48], 'label': '384.12593.12.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '12.g1.a1', 'normal_contained_in': ['4.q1.a1', '6.a1.a1'], 'normal_contains': ['24.c1.a1', '24.e1.a1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890402
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.e1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bj1.a1', '6.b1.a1'], 'contains': ['24.h1.a1', '24.j1.a1', '24.k1.a1', '24.o1.a1', '24.q1.a1', '24.s1.a1', '24.t1.a1', '24.br1.a1', '24.br1.a2', '24.br1.b1', '24.br1.b2'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 2, 4, 192], 'label': '384.12593.12.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890403
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bk1.a1', '6.b1.a1'], 'contains': ['24.h1.a1', '24.k1.a1', '24.l1.a1', '24.p1.a1', '24.r1.a1', '24.u1.a1', '24.v1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 2, 100], 'label': '384.12593.12.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890404
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bl1.a1', '6.d1.a1'], 'contains': ['24.i1.a1', '24.j1.a1', '24.m1.a1', '24.w1.a1', '24.y1.a1', '24.bd1.a1', '24.bo1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [145, 2, 4], 'label': '384.12593.12.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890405
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.n1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bm1.a1', '6.d1.a1'], 'contains': ['24.i1.a1', '24.l1.a1', '24.m1.a1', '24.z1.a1', '24.ba1.a1', '24.bp1.a1', '24.bq1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [145, 2, 100], 'label': '384.12593.12.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890406
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1', '6.d1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.j1.a1', '24.l1.a1', '24.bb1.a1', '24.bc1.a1', '24.bg1.a1', '24.bm1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [2, 4, 96], 'label': '384.12593.12.l1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890407
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1', '6.e1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.k1.a1', '24.be1.a1', '24.bf1.a1', '24.bj1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5, 2, 96], 'label': '384.12593.12.m1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.m1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890408
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.c1.a1', '6.d1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.m1.a1', '24.bh1.a1', '24.bi1.a1', '24.bn1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21, 2, 96], 'label': '384.12593.12.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890409
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '12.o1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.c1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.bk1.a1', '24.bl1.a1', '24.bu1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [2, 20, 96], 'label': '384.12593.12.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890410
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '2.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.d1.b1', '192.e1.a1', '192.g1.a1', '192.e1.b1', '192.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.o1.a1', '4.q1.a1', '4.r1.a1', '4.x1.a1', '4.y1.a1', '4.be1.a1', '4.bh1.a1', '6.n1.a1'], 'core': '2.n1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [5, 192, 96, 6, 128, 48, 8], 'label': '384.12593.2.n1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.n1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.o1.a1', '4.q1.a1', '4.r1.a1', '4.x1.a1', '4.y1.a1', '4.be1.a1', '4.bh1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.n1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.n1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890411
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bn1.a1', '6.b1.a1'], 'contains': ['24.n1.a1', '24.o1.a1', '24.r1.a1', '24.s1.a1', '24.u1.a1', '24.bc1.a1', '24.be1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 98, 100], 'label': '384.12593.12.p1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.p1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890412
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bo1.a1', '6.b1.a1'], 'contains': ['24.n1.a1', '24.p1.a1', '24.q1.a1', '24.t1.a1', '24.v1.a1', '24.be1.a1', '24.bm1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 98, 4], 'label': '384.12593.12.q1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.q1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890413
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '6.b1.a1', '6.h1.a1', '6.j1.a1'], 'contains': ['24.b1.a1', '24.o1.a1', '24.p1.a1', '24.bb1.a1', '24.bf1.a1', '24.bw1.a1', '24.bx1.a1', '24.bx1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 6, 8, 96], 'label': '384.12593.12.r1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.r1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890414
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '6.b1.a1', '6.i1.a1', '6.k1.a1'], 'contains': ['24.b1.a1', '24.q1.a1', '24.r1.a1', '24.bg1.a1', '24.bj1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 4, 96], 'label': '384.12593.12.s1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.k1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.s1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890415
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '6.c1.a1', '6.i1.a1', '6.j1.a1'], 'contains': ['24.b1.a1', '24.bh1.a1', '24.bk1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 20], 'label': '384.12593.12.t1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.l1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.t1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.t1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890416
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.m1.a1', '6.c1.a1', '6.h1.a1', '6.k1.a1'], 'contains': ['24.b1.a1', '24.bi1.a1', '24.bl1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 22], 'label': '384.12593.12.u1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.m1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.u1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.u1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890417
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.o1.a1', '6.b1.a1', '6.l1.a1', '6.n1.a1'], 'contains': ['24.c1.a1', '24.s1.a1', '24.v1.a1', '24.bb1.a1', '24.bj1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5, 6, 96], 'label': '384.12593.12.v1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.o1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.v1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.v1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890418
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1.a1', '6.b1.a1', '6.m1.a1', '6.o1.a1'], 'contains': ['24.c1.a1', '24.t1.a1', '24.u1.a1', '24.bf1.a1', '24.bg1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 4, 96], 'label': '384.12593.12.w1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.p1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.w1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.w1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890419
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1.a1', '6.c1.a1', '6.m1.a1', '6.n1.a1'], 'contains': ['24.c1.a1', '24.bh1.a1', '24.bl1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21, 22], 'label': '384.12593.12.x1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.r1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.x1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.x1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890420
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1.a1', '6.c1.a1', '6.l1.a1', '6.o1.a1'], 'contains': ['24.c1.a1', '24.bi1.a1', '24.bk1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [3, 20], 'label': '384.12593.12.y1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.s1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.y1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.y1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890421
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '2.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': ['192.d1.a1', '192.d1.b1', '192.h1.a1', '192.e1.a1', '192.g1.a1', '192.e1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.p1.a1', '4.q1.a1', '4.s1.a1', '4.ba1.a1', '4.bc1.a1', '4.bd1.a1', '4.bf1.a1', '6.o1.a1'], 'core': '2.o1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [3, 192, 288, 4, 128, 48, 8], 'label': '384.12593.2.o1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.o1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.p1.a1', '4.q1.a1', '4.s1.a1', '4.ba1.a1', '4.bc1.a1', '4.bd1.a1', '4.bf1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.o1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.o1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890422
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bp1.a1', '6.d1.a1'], 'contains': ['24.w1.a1', '24.x1.a1', '24.z1.a1', '24.bc1.a1', '24.bd1.a1', '24.bn1.a1', '24.bp1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [145, 98, 100], 'label': '384.12593.12.z1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.z1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.z1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890423
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bq1.a1', '6.d1.a1'], 'contains': ['24.x1.a1', '24.y1.a1', '24.ba1.a1', '24.bm1.a1', '24.bn1.a1', '24.bo1.a1', '24.bq1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [145, 98, 4], 'label': '384.12593.12.ba1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1.a1', 'old_label': '12.ba1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ba1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890424
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.t1.a1', '6.d1.a1', '6.h1.a1', '6.l1.a1'], 'contains': ['24.d1.a1', '24.w1.a1', '24.ba1.a1', '24.bb1.a1', '24.bi1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [145, 6, 96], 'label': '384.12593.12.bb1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.t1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bb1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bb1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890425
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.u1.a1', '6.e1.a1', '6.h1.a1', '6.m1.a1'], 'contains': ['24.d1.a1', '24.bf1.a1', '24.bl1.a1', '24.bz1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [145, 22, 96], 'label': '384.12593.12.bc1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.u1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bc1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bc1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890426
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.l1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.v1.a1', '6.d1.a1', '6.i1.a1', '6.m1.a1'], 'contains': ['24.d1.a1', '24.y1.a1', '24.z1.a1', '24.bg1.a1', '24.bh1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [145, 4, 96], 'label': '384.12593.12.bd1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.v1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bd1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bd1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890427
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.w1.a1', '6.e1.a1', '6.i1.a1', '6.l1.a1'], 'contains': ['24.d1.a1', '24.bj1.a1', '24.bk1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [145, 20], 'label': '384.12593.12.be1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.w1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.be1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.be1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890428
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.m1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.x1.a1', '6.d1.a1', '6.j1.a1', '6.n1.a1'], 'contains': ['24.e1.a1', '24.bb1.a1', '24.bd1.a1', '24.bh1.a1', '24.bq1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [149, 6, 96], 'label': '384.12593.12.bf1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.x1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bf1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bf1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890429
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.y1.a1', '6.f1.a1', '6.h1.a1', '6.n1.a1'], 'contains': ['24.f1.a1', '24.bb1.a1', '24.bl1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [6, 48], 'label': '384.12593.12.bg1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.y1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bg1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bg1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890430
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.z1.a1', '6.f1.a1', '6.j1.a1', '6.l1.a1'], 'contains': ['24.g1.a1', '24.bb1.a1', '24.bk1.a1', '24.ca1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [58, 20, 96], 'label': '384.12593.12.bh1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.z1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bh1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bh1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890431
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.ba1.a1', '6.e1.a1', '6.j1.a1', '6.o1.a1'], 'contains': ['24.e1.a1', '24.bf1.a1', '24.bk1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [155, 20], 'label': '384.12593.12.bi1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.ba1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bi1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bi1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890432
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.f1.a1', '6.g1.a1', '6.h1.a1', '6.i1.a1', '6.j1.a1', '6.k1.a1', '6.l1.a1', '6.m1.a1', '6.n1.a1', '6.o1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 2, 4, 48], 'label': '384.12593.3.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890433
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bb1.a1', '6.g1.a1', '6.j1.a1', '6.m1.a1'], 'contains': ['24.g1.a1', '24.bf1.a1', '24.bh1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [21, 58], 'label': '384.12593.12.bj1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bb1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bj1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bj1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890434
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bc1.a1', '6.g1.a1', '6.h1.a1', '6.o1.a1'], 'contains': ['24.f1.a1', '24.bf1.a1', '24.bi1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [7, 48], 'label': '384.12593.12.bk1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bc1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bk1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bk1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890435
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bd1.a1', '6.d1.a1', '6.k1.a1', '6.o1.a1'], 'contains': ['24.e1.a1', '24.bg1.a1', '24.bi1.a1', '24.bo1.a1', '24.bp1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [155, 4, 96], 'label': '384.12593.12.bl1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bd1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bl1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bl1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890436
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.be1.a1', '6.e1.a1', '6.k1.a1', '6.n1.a1'], 'contains': ['24.e1.a1', '24.bj1.a1', '24.bl1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [261, 22], 'label': '384.12593.12.bm1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.be1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bm1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bm1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890437
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bf1.a1', '6.f1.a1', '6.i1.a1', '6.o1.a1'], 'contains': ['24.f1.a1', '24.bg1.a1', '24.bk1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [4, 48], 'label': '384.12593.12.bn1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bf1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bn1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bn1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890438
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bg1.a1', '6.f1.a1', '6.k1.a1', '6.m1.a1'], 'contains': ['24.g1.a1', '24.bg1.a1', '24.bl1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [58, 4], 'label': '384.12593.12.bo1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bg1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bo1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bo1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890439
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bh1.a1', '6.g1.a1', '6.i1.a1', '6.n1.a1'], 'contains': ['24.f1.a1', '24.bh1.a1', '24.bj1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5, 48], 'label': '384.12593.12.bp1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bh1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bp1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bp1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890440
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '12.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bi1.a1', '6.g1.a1', '6.k1.a1', '6.l1.a1'], 'contains': ['24.g1.a1', '24.bi1.a1', '24.bj1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [5, 58], 'label': '384.12593.12.bq1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.bi1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.bq1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bq1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890441
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.t1.a1', '8.u1.a1', '8.v1.a1', '8.w1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.b1.b1', '32.m1.a1', '32.v1.a1', '48.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2, 8, 192, 128], 'label': '384.12593.16.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '32.b1.b1', '32.b1.a1', '48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890442
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.g1.a1', '8.h1.a1', '8.y1.a1', '8.bc1.a1', '8.bg1.a1', '8.bl1.a1'], 'contains': ['32.a1.a1', '32.h1.a1', '32.q1.a1', '32.z1.a1', '48.h1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6, 8, 192, 128], 'label': '384.12593.16.b1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1', '8.g1.a1', '8.h1.a1'], 'normal_contains': ['32.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890443
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.b1.a1', '8.d1.a1', '8.e1.a1', '8.t1.a1', '8.x1.a1', '8.bs1.a1', '8.bt1.a1', '8.bt1.b1', '12.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 192, 128, 2, 8, 96], 'label': '384.12593.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.b1.a1', '8.d1.a1', '8.e1.a1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890444
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.f1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.d1.a1', '8.e1.a1', '8.f1.a1', '8.g1.a1', '8.i1.a1', '8.j1.a1', '8.k1.a1', '8.l1.a1', '8.m1.a1', '8.n1.a1', '8.o1.a1', '8.p1.a1', '8.q1.a1', '8.r1.a1'], 'contains': ['32.a1.a1', '32.c1.a1', '32.d1.a1', '48.b1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8, 96, 128, 192], 'label': '384.12593.16.c1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.b1.a1', '8.d1.a1', '8.e1.a1', '8.f1.a1', '8.g1.a1', '8.i1.a1', '8.j1.a1', '8.l1.a1', '8.k1.a1', '8.m1.a1', '8.n1.a1', '8.o1.a1', '8.p1.a1', '8.r1.a1', '8.q1.a1'], 'normal_contains': ['32.a1.a1', '32.d1.a1', '32.c1.a1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890445
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.h1.a1', '8.s1.a1', '8.x1.a1', '8.bh1.a1', '8.bm1.a1', '8.bn1.a1'], 'contains': ['32.a1.a1', '32.bb1.a1', '48.c1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [98, 8, 128, 192], 'label': '384.12593.16.d1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.b1.a1', '8.h1.a1', '8.s1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890446
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.k1.a1', '8.s1.a1', '8.ba1.a1', '8.bd1.a1', '8.bi1.a1', '8.bo1.a1'], 'contains': ['32.a1.a1', '32.k1.a1', '48.k1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [4, 192, 8, 128], 'label': '384.12593.16.e1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.a1.a1', '8.k1.a1', '8.s1.a1'], 'normal_contains': ['32.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890447
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.h1.a1', '8.k1.a1', '8.bb1.a1', '8.be1.a1', '8.bj1.a1', '8.bp1.a1'], 'contains': ['32.a1.a1', '32.s1.a1', '48.l1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [100, 192, 200, 128], 'label': '384.12593.16.f1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.f1.a1', 'normal_contained_in': ['8.c1.a1', '8.h1.a1', '8.k1.a1'], 'normal_contains': ['32.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.f1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890448
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.e1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.g1.a1', '8.s1.a1', '8.z1.a1', '8.bf1.a1', '8.bk1.a1', '8.bq1.a1'], 'contains': ['32.a1.a1', '32.bc1.a1', '48.m1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [102, 8, 192, 128], 'label': '384.12593.16.g1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.g1.a1', 'normal_contained_in': ['8.c1.a1', '8.g1.a1', '8.s1.a1'], 'normal_contains': ['32.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.g1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890449
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bt1.a1', '8.bv1.a1', '8.bx1.a1'], 'contains': ['32.d1.a1', '32.w1.a1', '48.d1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 96, 128, 192], 'label': '384.12593.16.h1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.a1', 'normal_contained_in': ['8.d1.a1'], 'normal_contains': ['32.d1.a1', '48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890450
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.bt1.b1', '8.bv1.b1', '8.bx1.b1'], 'contains': ['32.d1.a1', '32.w1.b1', '48.d1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9, 96, 128, 192], 'label': '384.12593.16.h1.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '16.h1.b1', 'normal_contained_in': ['8.d1.a1'], 'normal_contains': ['32.d1.a1', '48.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890451
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.t1.a1', '8.x1.a1', '8.y1.a1', '8.z1.a1', '8.ba1.a1', '8.bb1.a1'], 'contains': ['32.a1.a1', '32.e1.a1', '32.n1.a1', '32.w1.a1', '32.w1.b1', '48.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1, 8, 192, 128], 'label': '384.12593.16.i1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.i1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890452
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.t1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.t1.a1', '8.x1.a1', '8.bc1.a1', '8.bd1.a1', '8.be1.a1', '8.bf1.a1'], 'contains': ['32.a1.a1', '32.f1.a1', '32.o1.a1', '32.x1.a1', '48.f1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 8, 192, 128], 'label': '384.12593.16.j1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.j1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 52890453
{'ambient': '384.12593', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '8.u1.a1', '8.bg1.a1', '8.bh1.a1', '8.bi1.a1', '8.bj1.a1', '8.bk1.a1'], 'contains': ['32.a1.a1', '32.g1.a1', '32.p1.a1', '32.y1.a1', '48.g1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [145, 8, 192, 128], 'label': '384.12593.16.k1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1.a1', 'old_label': '16.k1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1.a1', 'subgroup_fusion': None, 'weyl_group': None}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
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.