LMFDB - Abstract group data

Formats: - HTML - YAML - JSON - 2026-07-25T04:40:26.668221

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': '48.44', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 8, 'aut_gen_orders': [4, 4, 4, 4, 4, 4, 4, 4, 8], 'aut_gens': [[1, 2, 8, 48], [193, 26, 200, 340], [313, 126, 200, 76], [193, 362, 200, 148], [221, 218, 232, 364], [221, 122, 40, 48], [5, 174, 200, 148], [221, 98, 200, 364], [217, 294, 8, 244], [289, 170, 200, 244]], 'aut_group': None, 'aut_hash': 1673240633691560629, 'aut_nilpotency_class': 3, 'aut_nilpotent': True, 'aut_order': 16384, 'aut_permdeg': 50, 'aut_perms': [13476098899187058379926855475578769686452258234690105796688904234, 5151832752074226045053936022634943903853901811926646592974203344, 6779052994443171810484455986886591186452264900760871361993777414, 29517261345546205051035545467489051320594231079567567954605295208, 11252558904136708628163608624941653228863034205720622622264947788, 6841227124910555541847715435830969340313690438855331362372397574, 299809902289110091233957542237595908003851710339483854935867584, 24452352940153011191901684505418044972057002159717152601729600272, 6940482584609687991045215880667878257671883648544296658702591194], 'aut_phi_ratio': 128.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 1, 2, 2], [2, 8, 4, 1], [3, 1, 2, 1], [4, 2, 1, 4], [4, 2, 8, 1], [4, 8, 4, 1], [6, 1, 2, 3], [6, 1, 4, 2], [6, 8, 8, 1], [8, 2, 8, 2], [12, 2, 2, 4], [12, 2, 16, 1], [12, 8, 8, 1], [24, 2, 16, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_2^3.C_2^6.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '1024.djt', 'autcent_hash': 1957374279625110839, 'autcent_nilpotent': True, 'autcent_order': 1024, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^{10}', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4, 'autcentquo_group': '16.11', 'autcentquo_hash': 11, 'autcentquo_nilpotent': True, 'autcentquo_order': 16, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_4', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 8, 4], [3, 1, 2], [4, 2, 12], [4, 8, 4], [6, 1, 14], [6, 8, 8], [8, 2, 16], [12, 2, 24], [12, 8, 8], [24, 2, 32]], 'center_label': '24.15', 'center_order': 24, 'central_product': True, 'central_quotient': '16.11', 'commutator_count': 1, 'commutator_label': '8.2', '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': 5261, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['128.702', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 8, 1, 4], [3, 1, 2, 1], [4, 2, 1, 4], [4, 2, 2, 4], [4, 8, 2, 2], [6, 1, 2, 7], [6, 8, 2, 4], [8, 2, 2, 4], [8, 2, 4, 2], [12, 2, 2, 4], [12, 2, 4, 4], [12, 8, 4, 2], [24, 2, 4, 4], [24, 2, 8, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 1092, 'exponent': 24, 'exponents_of_order': [7, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.10', 'frattini_quotient': '24.15', 'hash': 5261, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4, 'inner_gen_orders': [4, 2, 1, 4], 'inner_gens': [[1, 314, 8, 48], [121, 2, 8, 336], [1, 2, 8, 48], [1, 98, 8, 48]], 'inner_hash': 11, 'inner_nilpotent': True, 'inner_order': 16, 'inner_split': False, 'inner_tex': 'C_2\\times D_4', 'inner_used': [1, 2, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 48], [2, 84]], 'label': '384.5261', '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*C12):D8', 'ngens': 8, 'nilpotency_class': 3, 'nilpotent': True, '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': 30, 'number_characteristic_subgroups': 52, 'number_conjugacy_classes': 132, 'number_divisions': 56, 'number_normal_subgroups': 136, 'number_subgroup_autclasses': 172, 'number_subgroup_classes': 384, 'number_subgroups': 968, 'old_label': None, 'order': 384, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 39], [3, 2], [4, 56], [6, 78], [8, 32], [12, 112], [24, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [4, 2, 2, 2, 4, 4, 2, 4], 'outer_gen_pows': [0, 96, 144, 0, 0, 96, 1, 96], 'outer_gens': [[217, 338, 232, 360], [221, 102, 8, 52], [221, 266, 40, 240], [313, 30, 40, 168], [221, 290, 232, 148], [101, 146, 232, 52], [197, 174, 40, 72], [121, 146, 232, 244]], 'outer_group': None, 'outer_hash': 6540101142328054263, 'outer_nilpotent': True, 'outer_order': 1024, 'outer_permdeg': 256, 'outer_perms': [837493724351547101502545574128745412291082897509335844260062784143232037150784109381690844158409802463011921792176826167772181612267381483954936259406698045694013901199225270553909137513650633635813184540249915275285426957847708171510188799058135641815215275375074420990759613442094806681999482564611453190228666118845140023748929932097295525097530107019832216419977803427987503846081277198582404911232862286732964411160821954512066687275123138282995435415127352296252844591372153289694345419042934610097279, 94190221143005097942160068501844752854748382989894112678590896760005475400379298770957784855197507003882069361570898554197273486388632373153122437310639808809550793796898363492153651679295727699567694543902890408271675291839529960816890180511345856380308344071055240563213614799582634378815115084757555386255770843126260907599005594258375532723836258800079181065502337681833999758202514933936535136410519333911321111101529267500133157285867999442627861451458876659362934833871931634128846152596656017190322, 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381586974156116812288339001604110375779621747182125572820994513352712814738155633248004556687470367457871834856133461793948393343560042523365253320276381087543706176144064305665555373154282357448856913731579541671852175371404395486202817687581082614895290537942653935997778159022084408501997445080582206901761145620752289883207602714171163081690629135808991998257587587188660561300275352146978706720813811408763221243940839099275333895805566494153308261174408572625208198040912445332322718770217615636042890, 222664916712755047715804121010306933220202617591863559107675526910086513185121488894837701701480519089572574908125246995256611031881943236464544266018868689400574715372495348404956561063295430043298969724610335897728433908295344278545203908679471803366150586901544059594975383090443341167525197409906610544547741399510588687274297135956702700569684981768754099904031207882716842821788226098341660934114434394862883002528899929360117966525084538765002531844145288808572915259701572875585698371140941680593178], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5.C_2^5', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 19, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 20], [4, 18], [8, 8], [16, 2]], 'representations': {'PC': {'code': 10916675599014878347667710208776, 'gens': [1, 2, 4, 6], 'pres': [8, -2, -2, -2, -2, -3, -2, -2, -2, 2528, 5025, 41, 91, 8077, 141, 8078, 166]}, 'GLZN': {'d': 2, 'p': 28, 'gens': [22149, 329295, 548825, 28573, 155757, 22345, 562037, 285389]}, 'Perm': {'d': 19, 'gens': [7870992136167864, 14274673521350640, 21090446207006400, 4, 26344408312138584, 15408984, 34256099758003200, 20091600]}}, 'schur_multiplier': [2, 2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 12], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': '(C_2\\times C_{12}):D_8', 'transitive_degree': 192, '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
Showing the first 100 of 132 matching records in this table.

id: 104818737
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 5261, 'group_order': 384, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
id: 104818781
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 5261, 'group_order': 384, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 24, 'size': 1}
id: 104818792
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 5261, 'group_order': 384, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 216, 'size': 1}
id: 104818803
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 5261, 'group_order': 384, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 196, 'size': 1}
id: 104818814
{'aut_label': '2D', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 5261, 'group_order': 384, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 192, 'size': 1}
id: 104818825
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 5261, 'group_order': 384, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 28, 'size': 1}
id: 104818836
{'aut_label': '2E', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 5261, 'group_order': 384, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 220, 'size': 1}
id: 104818847
{'aut_label': '2G', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 5261, 'group_order': 384, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 4, 'size': 1}
id: 104818858
{'aut_label': '2H', 'centralizer': '8.i1', 'counter': 9, 'group_counter': 5261, 'group_order': 384, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 3, 'size': 8}
id: 104818738
{'aut_label': '2H', 'centralizer': '8.i1', 'counter': 10, 'group_counter': 5261, 'group_order': 384, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 51, 'size': 8}
id: 104818749
{'aut_label': '2H', 'centralizer': '8.i1', 'counter': 11, 'group_counter': 5261, 'group_order': 384, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 7, 'size': 8}
id: 104818760
{'aut_label': '2H', 'centralizer': '8.i1', 'counter': 12, 'group_counter': 5261, 'group_order': 384, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 55, 'size': 8}
id: 104818771
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 5261, 'group_order': 384, 'label': '3A1', 'order': 3, 'powers': [14, 1], 'representative': 16, 'size': 1}
id: 104818775
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 5261, 'group_order': 384, 'label': '3A-1', 'order': 3, 'powers': [13, 1], 'representative': 32, 'size': 1}
id: 104818776
{'aut_label': '4A', 'centralizer': '2.d1', 'counter': 15, 'group_counter': 5261, 'group_order': 384, 'label': '4A', 'order': 4, 'powers': [5, 15], 'representative': 312, 'size': 2}
id: 104818777
{'aut_label': '4B', 'centralizer': '2.d1', 'counter': 16, 'group_counter': 5261, 'group_order': 384, 'label': '4B', 'order': 4, 'powers': [5, 16], 'representative': 292, 'size': 2}
id: 104818778
{'aut_label': '4C', 'centralizer': '2.d1', 'counter': 17, 'group_counter': 5261, 'group_order': 384, 'label': '4C', 'order': 4, 'powers': [5, 17], 'representative': 288, 'size': 2}
id: 104818779
{'aut_label': '4D', 'centralizer': '2.d1', 'counter': 18, 'group_counter': 5261, 'group_order': 384, 'label': '4D', 'order': 4, 'powers': [5, 18], 'representative': 124, 'size': 2}
id: 104818780
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 19, 'group_counter': 5261, 'group_order': 384, 'label': '4E1', 'order': 4, 'powers': [6, 20], 'representative': 77, 'size': 2}
id: 104818782
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 20, 'group_counter': 5261, 'group_order': 384, 'label': '4E-1', 'order': 4, 'powers': [6, 19], 'representative': 49, 'size': 2}
id: 104818783
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 21, 'group_counter': 5261, 'group_order': 384, 'label': '4F1', 'order': 4, 'powers': [6, 22], 'representative': 269, 'size': 2}
id: 104818784
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 22, 'group_counter': 5261, 'group_order': 384, 'label': '4F-1', 'order': 4, 'powers': [6, 21], 'representative': 241, 'size': 2}
id: 104818785
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 23, 'group_counter': 5261, 'group_order': 384, 'label': '4G1', 'order': 4, 'powers': [7, 24], 'representative': 365, 'size': 2}
id: 104818786
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 24, 'group_counter': 5261, 'group_order': 384, 'label': '4G-1', 'order': 4, 'powers': [7, 23], 'representative': 145, 'size': 2}
id: 104818787
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 25, 'group_counter': 5261, 'group_order': 384, 'label': '4H1', 'order': 4, 'powers': [7, 26], 'representative': 341, 'size': 2}
id: 104818788
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 26, 'group_counter': 5261, 'group_order': 384, 'label': '4H-1', 'order': 4, 'powers': [7, 25], 'representative': 169, 'size': 2}
id: 104818789
{'aut_label': '4I1', 'centralizer': '8.j1', 'counter': 27, 'group_counter': 5261, 'group_order': 384, 'label': '4I1', 'order': 4, 'powers': [8, 28], 'representative': 6, 'size': 8}
id: 104818790
{'aut_label': '4I1', 'centralizer': '8.j1', 'counter': 28, 'group_counter': 5261, 'group_order': 384, 'label': '4I-1', 'order': 4, 'powers': [8, 27], 'representative': 2, 'size': 8}
id: 104818791
{'aut_label': '4I1', 'centralizer': '8.j1', 'counter': 29, 'group_counter': 5261, 'group_order': 384, 'label': '4J1', 'order': 4, 'powers': [8, 30], 'representative': 54, 'size': 8}
id: 104818793
{'aut_label': '4I1', 'centralizer': '8.j1', 'counter': 30, 'group_counter': 5261, 'group_order': 384, 'label': '4J-1', 'order': 4, 'powers': [8, 29], 'representative': 50, 'size': 8}
id: 104818794
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 5261, 'group_order': 384, 'label': '6A1', 'order': 6, 'powers': [13, 2], 'representative': 8, 'size': 1}
id: 104818795
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 5261, 'group_order': 384, 'label': '6A-1', 'order': 6, 'powers': [14, 2], 'representative': 40, 'size': 1}
id: 104818796
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 5261, 'group_order': 384, 'label': '6B1', 'order': 6, 'powers': [13, 3], 'representative': 200, 'size': 1}
id: 104818797
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 5261, 'group_order': 384, 'label': '6B-1', 'order': 6, 'powers': [14, 3], 'representative': 232, 'size': 1}
id: 104818798
{'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 5261, 'group_order': 384, 'label': '6C1', 'order': 6, 'powers': [14, 4], 'representative': 212, 'size': 1}
id: 104818799
{'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 5261, 'group_order': 384, 'label': '6C-1', 'order': 6, 'powers': [13, 4], 'representative': 228, 'size': 1}
id: 104818800
{'aut_label': '6D1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 5261, 'group_order': 384, 'label': '6D1', 'order': 6, 'powers': [14, 5], 'representative': 208, 'size': 1}
id: 104818801
{'aut_label': '6D1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 5261, 'group_order': 384, 'label': '6D-1', 'order': 6, 'powers': [13, 5], 'representative': 224, 'size': 1}
id: 104818802
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 5261, 'group_order': 384, 'label': '6E1', 'order': 6, 'powers': [13, 6], 'representative': 12, 'size': 1}
id: 104818804
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 5261, 'group_order': 384, 'label': '6E-1', 'order': 6, 'powers': [14, 6], 'representative': 44, 'size': 1}
id: 104818805
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 5261, 'group_order': 384, 'label': '6F1', 'order': 6, 'powers': [13, 7], 'representative': 204, 'size': 1}
id: 104818806
{'aut_label': '6E1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 5261, 'group_order': 384, 'label': '6F-1', 'order': 6, 'powers': [14, 7], 'representative': 236, 'size': 1}
id: 104818807
{'aut_label': '6G1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 5261, 'group_order': 384, 'label': '6G1', 'order': 6, 'powers': [13, 8], 'representative': 36, 'size': 1}
id: 104818808
{'aut_label': '6G1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 5261, 'group_order': 384, 'label': '6G-1', 'order': 6, 'powers': [14, 8], 'representative': 20, 'size': 1}
id: 104818809
{'aut_label': '6H1', 'centralizer': '8.i1', 'counter': 45, 'group_counter': 5261, 'group_order': 384, 'label': '6H1', 'order': 6, 'powers': [14, 9], 'representative': 19, 'size': 8}
id: 104818810
{'aut_label': '6H1', 'centralizer': '8.i1', 'counter': 46, 'group_counter': 5261, 'group_order': 384, 'label': '6H-1', 'order': 6, 'powers': [13, 9], 'representative': 11, 'size': 8}
id: 104818811
{'aut_label': '6H1', 'centralizer': '8.i1', 'counter': 47, 'group_counter': 5261, 'group_order': 384, 'label': '6I1', 'order': 6, 'powers': [14, 10], 'representative': 67, 'size': 8}
id: 104818812
{'aut_label': '6H1', 'centralizer': '8.i1', 'counter': 48, 'group_counter': 5261, 'group_order': 384, 'label': '6I-1', 'order': 6, 'powers': [13, 10], 'representative': 59, 'size': 8}
id: 104818813
{'aut_label': '6H1', 'centralizer': '8.i1', 'counter': 49, 'group_counter': 5261, 'group_order': 384, 'label': '6J1', 'order': 6, 'powers': [14, 11], 'representative': 23, 'size': 8}
id: 104818815
{'aut_label': '6H1', 'centralizer': '8.i1', 'counter': 50, 'group_counter': 5261, 'group_order': 384, 'label': '6J-1', 'order': 6, 'powers': [13, 11], 'representative': 15, 'size': 8}
id: 104818816
{'aut_label': '6H1', 'centralizer': '8.i1', 'counter': 51, 'group_counter': 5261, 'group_order': 384, 'label': '6K1', 'order': 6, 'powers': [14, 12], 'representative': 71, 'size': 8}
id: 104818817
{'aut_label': '6H1', 'centralizer': '8.i1', 'counter': 52, 'group_counter': 5261, 'group_order': 384, 'label': '6K-1', 'order': 6, 'powers': [13, 12], 'representative': 63, 'size': 8}
id: 104818818
{'aut_label': '8A1', 'centralizer': '2.d1', 'counter': 53, 'group_counter': 5261, 'group_order': 384, 'label': '8A1', 'order': 8, 'powers': [17, 54], 'representative': 144, 'size': 2}
id: 104818819
{'aut_label': '8A1', 'centralizer': '2.d1', 'counter': 54, 'group_counter': 5261, 'group_order': 384, 'label': '8A3', 'order': 8, 'powers': [17, 53], 'representative': 48, 'size': 2}
id: 104818820
{'aut_label': '8A1', 'centralizer': '2.d1', 'counter': 55, 'group_counter': 5261, 'group_order': 384, 'label': '8B1', 'order': 8, 'powers': [17, 56], 'representative': 168, 'size': 2}
id: 104818821
{'aut_label': '8A1', 'centralizer': '2.d1', 'counter': 56, 'group_counter': 5261, 'group_order': 384, 'label': '8B3', 'order': 8, 'powers': [17, 55], 'representative': 72, 'size': 2}
id: 104818822
{'aut_label': '8A1', 'centralizer': '2.d1', 'counter': 57, 'group_counter': 5261, 'group_order': 384, 'label': '8C1', 'order': 8, 'powers': [17, 58], 'representative': 148, 'size': 2}
id: 104818823
{'aut_label': '8A1', 'centralizer': '2.d1', 'counter': 58, 'group_counter': 5261, 'group_order': 384, 'label': '8C3', 'order': 8, 'powers': [17, 57], 'representative': 52, 'size': 2}
id: 104818824
{'aut_label': '8A1', 'centralizer': '2.d1', 'counter': 59, 'group_counter': 5261, 'group_order': 384, 'label': '8D1', 'order': 8, 'powers': [17, 60], 'representative': 172, 'size': 2}
id: 104818826
{'aut_label': '8A1', 'centralizer': '2.d1', 'counter': 60, 'group_counter': 5261, 'group_order': 384, 'label': '8D3', 'order': 8, 'powers': [17, 59], 'representative': 76, 'size': 2}
id: 104818827
{'aut_label': '8E1', 'centralizer': '2.d1', 'counter': 61, 'group_counter': 5261, 'group_order': 384, 'label': '8E1', 'order': 8, 'powers': [18, 63], 'representative': 317, 'size': 2}
id: 104818828
{'aut_label': '8E1', 'centralizer': '2.d1', 'counter': 62, 'group_counter': 5261, 'group_order': 384, 'label': '8E-1', 'order': 8, 'powers': [18, 64], 'representative': 193, 'size': 2}
id: 104818829
{'aut_label': '8E1', 'centralizer': '2.d1', 'counter': 63, 'group_counter': 5261, 'group_order': 384, 'label': '8E3', 'order': 8, 'powers': [18, 61], 'representative': 1, 'size': 2}
id: 104818830
{'aut_label': '8E1', 'centralizer': '2.d1', 'counter': 64, 'group_counter': 5261, 'group_order': 384, 'label': '8E-3', 'order': 8, 'powers': [18, 62], 'representative': 125, 'size': 2}
id: 104818831
{'aut_label': '8E1', 'centralizer': '2.d1', 'counter': 65, 'group_counter': 5261, 'group_order': 384, 'label': '8F1', 'order': 8, 'powers': [18, 67], 'representative': 293, 'size': 2}
id: 104818832
{'aut_label': '8E1', 'centralizer': '2.d1', 'counter': 66, 'group_counter': 5261, 'group_order': 384, 'label': '8F-1', 'order': 8, 'powers': [18, 68], 'representative': 217, 'size': 2}
id: 104818833
{'aut_label': '8E1', 'centralizer': '2.d1', 'counter': 67, 'group_counter': 5261, 'group_order': 384, 'label': '8F3', 'order': 8, 'powers': [18, 65], 'representative': 25, 'size': 2}
id: 104818834
{'aut_label': '8E1', 'centralizer': '2.d1', 'counter': 68, 'group_counter': 5261, 'group_order': 384, 'label': '8F-3', 'order': 8, 'powers': [18, 66], 'representative': 101, 'size': 2}
id: 104818835
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 69, 'group_counter': 5261, 'group_order': 384, 'label': '12A1', 'order': 12, 'powers': [37, 15], 'representative': 104, 'size': 2}
id: 104818837
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 70, 'group_counter': 5261, 'group_order': 384, 'label': '12A-1', 'order': 12, 'powers': [38, 15], 'representative': 136, 'size': 2}
id: 104818838
{'aut_label': '12B1', 'centralizer': '2.d1', 'counter': 71, 'group_counter': 5261, 'group_order': 384, 'label': '12B1', 'order': 12, 'powers': [38, 16], 'representative': 116, 'size': 2}
id: 104818839
{'aut_label': '12B1', 'centralizer': '2.d1', 'counter': 72, 'group_counter': 5261, 'group_order': 384, 'label': '12B-1', 'order': 12, 'powers': [37, 16], 'representative': 132, 'size': 2}
id: 104818840
{'aut_label': '12C1', 'centralizer': '2.d1', 'counter': 73, 'group_counter': 5261, 'group_order': 384, 'label': '12C1', 'order': 12, 'powers': [37, 17], 'representative': 128, 'size': 2}
id: 104818841
{'aut_label': '12C1', 'centralizer': '2.d1', 'counter': 74, 'group_counter': 5261, 'group_order': 384, 'label': '12C-1', 'order': 12, 'powers': [38, 17], 'representative': 304, 'size': 2}
id: 104818842
{'aut_label': '12D1', 'centralizer': '2.d1', 'counter': 75, 'group_counter': 5261, 'group_order': 384, 'label': '12D1', 'order': 12, 'powers': [37, 18], 'representative': 300, 'size': 2}
id: 104818843
{'aut_label': '12D1', 'centralizer': '2.d1', 'counter': 76, 'group_counter': 5261, 'group_order': 384, 'label': '12D-1', 'order': 12, 'powers': [38, 18], 'representative': 140, 'size': 2}
id: 104818844
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 77, 'group_counter': 5261, 'group_order': 384, 'label': '12E1', 'order': 12, 'powers': [39, 19], 'representative': 65, 'size': 2}
id: 104818845
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 78, 'group_counter': 5261, 'group_order': 384, 'label': '12E-1', 'order': 12, 'powers': [40, 20], 'representative': 61, 'size': 2}
id: 104818846
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 79, 'group_counter': 5261, 'group_order': 384, 'label': '12E5', 'order': 12, 'powers': [40, 19], 'representative': 57, 'size': 2}
id: 104818848
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 80, 'group_counter': 5261, 'group_order': 384, 'label': '12E-5', 'order': 12, 'powers': [39, 20], 'representative': 69, 'size': 2}
id: 104818849
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 81, 'group_counter': 5261, 'group_order': 384, 'label': '12F1', 'order': 12, 'powers': [39, 21], 'representative': 257, 'size': 2}
id: 104818850
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 82, 'group_counter': 5261, 'group_order': 384, 'label': '12F-1', 'order': 12, 'powers': [40, 22], 'representative': 253, 'size': 2}
id: 104818851
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 83, 'group_counter': 5261, 'group_order': 384, 'label': '12F5', 'order': 12, 'powers': [40, 21], 'representative': 249, 'size': 2}
id: 104818852
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 84, 'group_counter': 5261, 'group_order': 384, 'label': '12F-5', 'order': 12, 'powers': [39, 22], 'representative': 261, 'size': 2}
id: 104818853
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 85, 'group_counter': 5261, 'group_order': 384, 'label': '12G1', 'order': 12, 'powers': [41, 23], 'representative': 161, 'size': 2}
id: 104818854
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 86, 'group_counter': 5261, 'group_order': 384, 'label': '12G-1', 'order': 12, 'powers': [42, 24], 'representative': 181, 'size': 2}
id: 104818855
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 87, 'group_counter': 5261, 'group_order': 384, 'label': '12G5', 'order': 12, 'powers': [42, 23], 'representative': 177, 'size': 2}
id: 104818856
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 88, 'group_counter': 5261, 'group_order': 384, 'label': '12G-5', 'order': 12, 'powers': [41, 24], 'representative': 165, 'size': 2}
id: 104818857
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 89, 'group_counter': 5261, 'group_order': 384, 'label': '12H1', 'order': 12, 'powers': [42, 25], 'representative': 153, 'size': 2}
id: 104818859
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 90, 'group_counter': 5261, 'group_order': 384, 'label': '12H-1', 'order': 12, 'powers': [41, 26], 'representative': 357, 'size': 2}
id: 104818860
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 91, 'group_counter': 5261, 'group_order': 384, 'label': '12H5', 'order': 12, 'powers': [41, 25], 'representative': 353, 'size': 2}
id: 104818861
{'aut_label': '12E1', 'centralizer': '2.d1', 'counter': 92, 'group_counter': 5261, 'group_order': 384, 'label': '12H-5', 'order': 12, 'powers': [42, 26], 'representative': 157, 'size': 2}
id: 104818862
{'aut_label': '12I1', 'centralizer': '8.j1', 'counter': 93, 'group_counter': 5261, 'group_order': 384, 'label': '12I1', 'order': 12, 'powers': [43, 27], 'representative': 18, 'size': 8}
id: 104818863
{'aut_label': '12I1', 'centralizer': '8.j1', 'counter': 94, 'group_counter': 5261, 'group_order': 384, 'label': '12I-1', 'order': 12, 'powers': [44, 28], 'representative': 14, 'size': 8}
id: 104818864
{'aut_label': '12I1', 'centralizer': '8.j1', 'counter': 95, 'group_counter': 5261, 'group_order': 384, 'label': '12I5', 'order': 12, 'powers': [44, 27], 'representative': 10, 'size': 8}
id: 104818865
{'aut_label': '12I1', 'centralizer': '8.j1', 'counter': 96, 'group_counter': 5261, 'group_order': 384, 'label': '12I-5', 'order': 12, 'powers': [43, 28], 'representative': 22, 'size': 8}
id: 104818866
{'aut_label': '12I1', 'centralizer': '8.j1', 'counter': 97, 'group_counter': 5261, 'group_order': 384, 'label': '12J1', 'order': 12, 'powers': [43, 29], 'representative': 66, 'size': 8}
id: 104818867
{'aut_label': '12I1', 'centralizer': '8.j1', 'counter': 98, 'group_counter': 5261, 'group_order': 384, 'label': '12J-1', 'order': 12, 'powers': [44, 30], 'representative': 62, 'size': 8}
id: 104818868
{'aut_label': '12I1', 'centralizer': '8.j1', 'counter': 99, 'group_counter': 5261, 'group_order': 384, 'label': '12J5', 'order': 12, 'powers': [44, 29], 'representative': 58, 'size': 8}
id: 104818739
{'aut_label': '12I1', 'centralizer': '8.j1', 'counter': 100, 'group_counter': 5261, 'group_order': 384, 'label': '12J-5', 'order': 12, 'powers': [43, 30], 'representative': 70, '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: 3123719
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
id: 3123730
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
id: 3123741
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
id: 3123752
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1], 'schur_index': 1}
id: 3123763
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
id: 3123771
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1], 'schur_index': 1}
id: 3123772
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
id: 3123773
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
id: 3123774
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3123720
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 0, -2, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 2, 2, 0, 2, 0, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
id: 3123721
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, -2, -2, 0, 2, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, -2, -2, 0, -2, 0, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
id: 3123722
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 0, 2, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, -2, -2, 0, -2, 0, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
id: 3123723
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1m', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 0, 2, 0, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 0, -2, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 2, 2, 0, 2, 0, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
id: 3123724
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -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: 3123725
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1o', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3123726
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -1, -1, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 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: 3123727
{'cdim': 1, 'counter': 17, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1q', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 3123728
{'cdim': 1, 'counter': 18, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1r', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -1, -1, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 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: 3123729
{'cdim': 1, 'counter': 19, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1s', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 3123731
{'cdim': 1, 'counter': 20, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1t', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -2, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -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: 3123736
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 2, 2, 0, -2, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, -2, 2, 2, 0, -2, 0, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
id: 3123737
{'cdim': 2, 'counter': 26, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 2, 2, 0, -2, 0, 2, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, -2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 2, -2, -2, 0, 2, 0, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
id: 3123738
{'cdim': 2, 'counter': 27, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 2, 0, -2, 0, 0, -2, 2, -2, 2, 2, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, -2, 2, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, -2, 0], 'schur_index': 1}
id: 3123739
{'cdim': 2, 'counter': 28, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, -2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 2, 0, 0, 2, -2, 2, -2, -2, 0, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 2, -2, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, 2, 0], 'schur_index': 1}
id: 3123740
{'cdim': 2, 'counter': 29, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, -2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, -2, 0, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
id: 3123742
{'cdim': 2, 'counter': 30, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 2, 2, 0, -2, 0, 2, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 2, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, -2, -2, -2, 0, 2, 0, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
id: 3123743
{'cdim': 2, 'counter': 31, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2g', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123744
{'cdim': 2, 'counter': 32, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2h', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, -2, 2, 2, -2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123732
{'cdim': 1, 'counter': 21, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1u', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, -4, -4, 4, 4, -2, -2, 0, 4, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 4, 4, 0, -4, -4, 0, 4, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, -2, -2, 0, -2, 0, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
id: 3123733
{'cdim': 1, 'counter': 22, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1v', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, -4, 4, 4, -4, -2, -2, 0, 4, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -4, -4, 0, 4, 4, 0, -4, 0, -4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 2, 2, 0, 2, 0, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
id: 3123734
{'cdim': 1, 'counter': 23, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1w', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, 4, -4, -4, 4, -2, -2, 0, 4, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 2, -2, -4, -4, 0, 4, 4, 0, -4, 0, -4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 2, 0, 0, 0, 0, -2, 2, 2, 0, 2, 0, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
id: 3123735
{'cdim': 1, 'counter': 24, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.1x', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, 4, 4, -4, -4, -2, -2, 0, 4, 0, 4, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 4, 4, 0, -4, -4, 0, 4, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, -2, 0, 0, 0, 0, 2, -2, -2, 0, -2, 0, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
id: 3123745
{'cdim': 2, 'counter': 33, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2i', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 4, 4, -4, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, -4, -4, 0, 4, 4, 0, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123746
{'cdim': 2, 'counter': 34, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2j', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 4, 4, 4, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, -4, -4, 0, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123747
{'cdim': 2, 'counter': 35, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2k', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, -4, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123748
{'cdim': 2, 'counter': 36, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2l', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123749
{'cdim': 2, 'counter': 37, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2m', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 4, 4, 0, -4, 0, -4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, -4, -4, 4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 4, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123750
{'cdim': 2, 'counter': 38, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2n', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 4, 4, 0, 4, 0, -4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, 4, 4, -4, 4, 4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123751
{'cdim': 2, 'counter': 39, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2o', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, -2, -2, 0, -4, 0, 4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 4, 4, 0, 4, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 2, 2, -2, 0, 0, 0, 0, 2, -2, -2, 0, 2, 0, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
id: 3123753
{'cdim': 2, 'counter': 40, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2p', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, -2, -2, 0, -4, 0, 4, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, -4, -4, 0, -4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, -2, 2, 0, 0, 0, 0, -2, 2, 2, 0, -2, 0, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
id: 3123754
{'cdim': 2, 'counter': 41, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2q', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, -2, -2, 0, 4, 0, -4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, -4, 0, 0, -4, 4, -4, 4, 4, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 2, 0, 0, 0, -2, 2, -2, -2, 0, 0, 0, 2, 0, -2, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, 2, 2, 0], 'schur_index': 1}
id: 3123755
{'cdim': 2, 'counter': 42, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2r', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, -2, -2, 0, 4, 0, -4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -4, 0, 4, 0, 0, 4, -4, 4, -4, -4, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 2, -2, 2, 2, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, -2, -2, 0], 'schur_index': 1}
id: 3123756
{'cdim': 2, 'counter': 43, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2s', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, -2, -2, 0, -4, 0, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, -4, -4, 0, 4, 0, -4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 2, -2, -2, 0, 0, 0, 0, -2, -2, -2, 0, 2, 0, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2], 'schur_index': 1}
id: 3123757
{'cdim': 2, 'counter': 44, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2t', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, -2, -2, 0, -4, 0, 4, 4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 4, 4, 0, -4, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, -2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, -2, 0, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2], 'schur_index': 1}
id: 3123758
{'cdim': 2, 'counter': 45, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2u', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -2, -2, -4, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123759
{'cdim': 2, 'counter': 46, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2v', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, -2, -2, 4, -4, 4, -4, -4, -4, -4, 4, -4, -4, -4, 4, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 2, -2, -2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123760
{'cdim': 2, 'counter': 47, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2w', 'multiplicity': 4, 'nt': [16, 44], 'qdim': 8, 'qvalues': [8, -8, 8, 8, -8, -8, 8, -8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 8, -8, -8, -8, 8, -8, 8, -8, -8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123761
{'cdim': 2, 'counter': 48, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2x', 'multiplicity': 4, 'nt': [16, 44], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, 8, -8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, -8, 8, 8, -8, -8, -8, 8, 8, 8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123762
{'cdim': 2, 'counter': 49, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2y', 'multiplicity': 4, 'nt': [24, 17], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, 8, -8, -8, 0, 0, 0, 0, -4, -4, 0, -8, 0, -8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, -4, 4, 4, -4, -4, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, -4, 0, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123764
{'cdim': 2, 'counter': 50, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2z', 'multiplicity': 4, 'nt': [24, 17], 'qdim': 8, 'qvalues': [8, 8, 8, -8, 8, -8, -8, -8, 0, 0, 0, 0, -4, -4, 0, 8, 0, -8, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, -4, 4, -4, -4, 4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123765
{'cdim': 2, 'counter': 51, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2aa', 'multiplicity': 4, 'nt': [24, 40], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -8, 8, -8, 8, 0, 0, 0, 0, -4, -4, -8, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, -4, -4, 0, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123766
{'cdim': 2, 'counter': 52, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2ab', 'multiplicity': 4, 'nt': [24, 40], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -8, 8, -8, 8, 0, 0, 0, 0, -4, -4, 8, 0, -8, 0, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, -4, -4, 0, 4, 4, 0, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123767
{'cdim': 2, 'counter': 53, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2ac', 'multiplicity': 4, 'nt': [24, 40], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, -8, -8, 8, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, -8, 8, 0, 0, 8, -8, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123768
{'cdim': 2, 'counter': 54, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2ad', 'multiplicity': 4, 'nt': [24, 40], 'qdim': 8, 'qvalues': [8, 8, -8, 8, -8, -8, -8, 8, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, 0, 8, -8, 0, 0, -8, 8, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, -4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123769
{'cdim': 2, 'counter': 55, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2ae', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, 16, 16, -16, -16, 16, -16, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, -8, 8, 8, 8, -8, 8, -8, 8, 8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 3123770
{'cdim': 2, 'counter': 56, 'faithful': False, 'group': '384.5261', 'group_order': 384, 'image': None, 'label': '384.5261.2af', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, 16, 16, -16, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, 8, -8, -8, 8, 8, 8, -8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}

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

gps_char • Show schema
Showing the first 100 of 132 matching records in this table.

id: 4224835
{'center': '1.a1', 'center_index': 1, 'center_order': 384, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 384, 'label': '384.5261.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
id: 4224879
{'center': '1.a1', 'center_index': 1, 'center_order': 384, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 192, 'label': '384.5261.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
id: 4224890
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id: 4224901
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id: 4224912
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id: 4224923
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id: 4224934
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id: 4224945
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id: 4224956
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id: 4224836
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id: 4224847
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id: 4224858
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id: 4224869
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id: 4224873
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id: 4224874
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id: 4224875
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id: 4224876
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id: 4224877
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id: 4224878
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id: 4224880
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id: 4224881
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id: 4224882
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id: 4224883
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id: 4224884
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id: 4224885
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id: 4224886
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id: 4224887
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id: 4224888
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id: 4224889
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id: 4224891
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id: 4224892
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id: 4224893
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id: 4224894
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id: 4224895
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id: 4224896
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id: 4224897
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id: 4224898
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id: 4224899
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id: 4224900
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id: 4224902
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id: 4224903
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id: 4224904
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id: 4224905
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id: 4224906
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id: 4224907
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id: 4224908
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id: 4224909
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id: 4224910
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id: 4224911
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id: 4224838
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id: 4224839
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 102, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '48.25', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1', 'kernel_order': 8, 'label': '384.5261.2aa2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 8]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[2, 4]], [[0, 0]], [[0, 0]], [[-2, 8]], [[0, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]]]}
id: 4224840
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 103, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '48.25', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1', 'kernel_order': 8, 'label': '384.5261.2aa3', 'nt': [24, 40], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 4]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[-2, 8]], [[0, 0]], [[0, 0]], [[2, 4]], [[0, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]]]}
id: 4224841
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 104, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '48.25', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1', 'kernel_order': 8, 'label': '384.5261.2aa4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 8]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[2, 4]], [[0, 0]], [[0, 0]], [[-2, 8]], [[0, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]]]}
id: 4224842
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id: 4224843
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id: 4224844
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id: 4224845
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id: 4224846
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id: 4224848
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id: 4224849
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id: 4224850
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id: 4224851
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 113, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '48.25', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1', 'kernel_order': 8, 'label': '384.5261.2ad1', 'nt': [24, 40], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 4]], [[2, 8]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-2, 8]], [[0, 0]], [[0, 0]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[-2, 4]], [[0, 0]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]]]}
id: 4224852
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 114, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '48.25', 'image_order': 48, 'indicator': 0, 'kernel': '48.a1', 'kernel_order': 8, 'label': '384.5261.2ad2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[2, 8]], [[-2, 4]], [[2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[2, 4]], [[0, 0]], [[0, 0]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[0, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[2, 8]], [[0, 0]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]]]}
id: 4224853
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id: 4224854
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id: 4224855
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id: 4224856
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 118, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '96.182', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 4, 'label': '384.5261.2ae2', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 8]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[2, 4]], [[2, 8]], [[2, 4]], [[-2, 8]], [[2, 8]], [[-2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-2, 10]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10]], [[0, 0]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[2, 2]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]]]}
id: 4224857
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 119, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '96.182', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 4, 'label': '384.5261.2ae3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[-2, 4]], [[2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 8]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[-2, 4]], [[2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[2, 10]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 10]], [[0, 0]], [[-2, 10]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[1, 1], [1, 7]]]}
id: 4224859
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id: 4224860
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id: 4224861
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id: 4224862
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 123, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '96.182', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 4, 'label': '384.5261.2ae7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[-2, 4]], [[2, 8]], [[2, 4]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 8]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[-2, 4]], [[2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[-2, 10]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 10]], [[0, 0]], [[2, 10]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [1, 7]]]}
id: 4224863
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 124, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '96.182', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 4, 'label': '384.5261.2ae8', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, 8]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[2, 4]], [[2, 8]], [[2, 4]], [[-2, 8]], [[2, 8]], [[-2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[2, 10]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[0, 0]], [[2, 2]], [[2, 10]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]]]}
id: 4224864
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id: 4224865
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id: 4224866
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 127, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '96.182', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 4, 'label': '384.5261.2af3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[-2, 6]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[2, 8]], [[2, 4]], [[2, 8]], [[-2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, 10]], [[0, 0]], [[-2, 10]], [[-2, 2]], [[0, 0]], [[2, 10]], [[2, 2]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [-1, 7]]]}
id: 4224867
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 128, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '96.182', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 4, 'label': '384.5261.2af4', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 8]], [[-2, 4]], [[2, 6]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[-2, 8]], [[-2, 4]], [[2, 8]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 4]], [[2, 8]], [[2, 8]], [[2, 4]], [[-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[0, 0]], [[-2, 10]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[2, 2]], [[2, 10]], [[0, 0]], [[-2, 2]], [[-2, 10]], [[0, 0]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]]]}
id: 4224868
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 129, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '96.182', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1', 'kernel_order': 4, 'label': '384.5261.2af5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 8]], [[2, 6]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[2, 8]], [[2, 4]], [[2, 8]], [[-2, 4]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[-2, 8]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, 10]], [[0, 0]], [[2, 10]], [[2, 2]], [[0, 0]], [[-2, 10]], [[-2, 2]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 3], [1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 3], [-1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[-1, 1], [1, 7]], [[1, 1], [-1, 7]], [[1, 1], [-1, 7]], [[-1, 1], [1, 7]], [[1, 1], [1, 7]]]}
id: 4224870
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id: 4224871
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id: 4224872
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id: 4224913
{'center': '4.d1', 'center_index': 4, 'center_order': 96, 'counter': 50, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.f1', 'kernel_order': 48, 'label': '384.5261.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 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]], [[-2, 0]]]}
id: 4224914
{'center': '4.e1', 'center_index': 4, 'center_order': 96, 'counter': 51, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.e1', 'kernel_order': 48, 'label': '384.5261.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]]]}
id: 4224915
{'center': '4.e1', 'center_index': 4, 'center_order': 96, 'counter': 52, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.e1', 'kernel_order': 48, 'label': '384.5261.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 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]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]]]}
id: 4224916
{'center': '4.d1', 'center_index': 4, 'center_order': 96, 'counter': 53, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.g1', 'kernel_order': 48, 'label': '384.5261.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 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]], [[-2, 0]]]}
id: 4224917
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id: 4224918
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id: 4224919
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id: 4224920
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id: 4224921
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id: 4224922
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id: 4224924
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id: 4224925
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id: 4224926
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id: 4224927
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id: 4224928
{'center': '8.b1', 'center_index': 8, 'center_order': 48, 'counter': 64, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '16.7', 'image_order': 16, 'indicator': 1, 'kernel': '16.a1', 'kernel_order': 24, 'label': '384.5261.2l2', 'nt': [8, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 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]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 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]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
id: 4224929
{'center': '4.b1', 'center_index': 4, 'center_order': 96, 'counter': 65, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.d1', 'kernel_order': 24, 'label': '384.5261.2m1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 4224930
{'center': '4.b1', 'center_index': 4, 'center_order': 96, 'counter': 66, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.d1', 'kernel_order': 24, 'label': '384.5261.2m2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 0]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 0]], [[2, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 4224931
{'center': '4.e1', 'center_index': 4, 'center_order': 96, 'counter': 67, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.g1', 'kernel_order': 24, 'label': '384.5261.2n1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]]]}
id: 4224932
{'center': '4.e1', 'center_index': 4, 'center_order': 96, 'counter': 68, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '384.5261', 'group_counter': 5261, 'group_order': 384, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.g1', 'kernel_order': 24, 'label': '384.5261.2n2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 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]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[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 172 matching records in this table.

id: 56402876
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 384, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '384.5261.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.5261', 'subgroup_hash': 5261, 'subgroup_order': 384, 'subgroup_tex': '(C_2\\times C_{12}):D_8', 'supersolvable': True, 'sylow': 0}
id: 56402960
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 192, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.823', 'subgroup_hash': 823, 'subgroup_order': 192, 'subgroup_tex': '(C_2\\times C_{12}):D_4', 'supersolvable': True, 'sylow': 0}
id: 56402971
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 192, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.847', 'subgroup_hash': 847, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times D_4:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402982
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 192, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.1458', 'subgroup_hash': 1458, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}:C_2^3', 'supersolvable': True, 'sylow': 0}
id: 56402993
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 192, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.835', 'subgroup_hash': 835, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56403004
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 192, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.859', 'subgroup_hash': 859, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_8:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403015
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': True, 'centralizer_order': 24, 'characteristic': True, 'core_order': 128, 'counter': 7, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '384.5261.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.702', 'subgroup_hash': 702, 'subgroup_order': 128, 'subgroup_tex': '(C_2\\times C_4):D_8', 'supersolvable': True, 'sylow': 2}
id: 56403026
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], '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: 56403037
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 96, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402877
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', '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': '96.163', 'subgroup_hash': 163, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402888
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 96, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', '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': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56402899
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 96, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56402910
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 96, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': 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: 56402921
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, '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': '96.162', 'subgroup_hash': 162, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402932
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, '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': '96.52', 'subgroup_hash': 52, 'subgroup_order': 96, 'subgroup_tex': 'D_4:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402943
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, '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': '96.179', 'subgroup_hash': 179, 'subgroup_order': 96, 'subgroup_tex': 'C_6\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 56402954
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, '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': '96.57', 'subgroup_hash': 57, 'subgroup_order': 96, 'subgroup_tex': 'C_8:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402958
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, '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': '96.179', 'subgroup_hash': 179, 'subgroup_order': 96, 'subgroup_tex': 'C_6\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 56402959
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, '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': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56402961
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 64, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.71', 'subgroup_hash': 71, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.C_2^3', 'supersolvable': True, 'sylow': 0}
id: 56402962
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 64, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 56402963
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 64, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.250', 'subgroup_hash': 250, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 56402964
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 64, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56402965
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 64, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.107', 'subgroup_hash': 107, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2.D_8', 'supersolvable': True, 'sylow': 0}
id: 56402966
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 48, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402967
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402968
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56402969
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56402970
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56402972
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', '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': ['C3'], '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: 56402973
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 48, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56402974
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, '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': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402975
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, '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: 56402976
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, '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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402977
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, '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: 56402978
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56402979
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, '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: 56402980
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, '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: 56402981
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, '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': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402983
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, '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': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402984
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, '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: 56402985
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, '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: 56402986
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402987
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, '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': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56402988
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, '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': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56402989
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.8.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.v1', 'outer_equivalence': True, 'perfect': False, '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': '48.25', 'subgroup_hash': 25, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 56402990
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56402991
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 32, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
id: 56402992
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
id: 56402994
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 32, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56402995
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 32, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56402996
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 32, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 56402997
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
id: 56402998
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.9', 'subgroup_hash': 9, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_4', 'supersolvable': True, 'sylow': 0}
id: 56402999
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 56403000
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.14', 'subgroup_hash': 14, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
id: 56403001
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
id: 56403002
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56403003
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403005
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': True, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
id: 56403006
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403007
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403008
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403009
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403010
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403011
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 24, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403012
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 24, 'counter': 67, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '384.5261.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56403013
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
id: 56403014
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403016
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
id: 56403017
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403018
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
id: 56403019
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
id: 56403020
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403021
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
id: 56403022
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
id: 56403023
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403024
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403025
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403027
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.16.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403028
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 12, 'counter': 81, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '384.5261.16.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
id: 56403029
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': True, 'core_order': 16, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
id: 56403030
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
id: 56403031
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403032
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56403033
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56403034
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56403035
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 16, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '384.5261.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56403036
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
id: 56403038
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
id: 56403039
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
id: 56403040
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403041
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
id: 56403042
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403043
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403044
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
id: 56403045
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
id: 56403046
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56403047
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
id: 56402878
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '384.5261', 'ambient_counter': 5261, 'ambient_order': 384, 'ambient_tex': '(C_2\\times C_{12}):D_8', 'central': False, 'central_factor': False, 'centralizer_order': 192, 'characteristic': False, 'core_order': 8, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '384.5261.24.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', '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 172 matching records in this table.

id: 56402876
{'ambient': '384.5261', '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': '16.b1', 'complements': ['384.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '3.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8002, 7051, 6949, 6070], 'generators': [1, 316, 312, 2, 16, 192, 288, 48], 'label': '384.5261.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402877
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.b1', '2.e1'], 'contains': ['8.a1', '8.j1', '8.o1', '8.p1', '12.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [6152, 6104, 4348, 4729], 'generators': [338, 192, 4, 312, 288, 16], 'label': '384.5261.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.b1', '2.e1'], 'normal_contains': ['8.a1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402878
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.s1', '12.b1'], 'contains': ['48.g1', '48.r1'], 'core': '48.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [5021, -1, 3556, -1], 'generators': [49, 312], 'label': '384.5261.24.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '24.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402879
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.t1', '12.b1', '12.l1'], 'contains': ['48.h1', '48.r1'], 'core': '48.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [7295, -1, 5322, -1], 'generators': [49, 288], 'label': '384.5261.24.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '24.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402880
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.u1', '12.e1', '12.l1'], 'contains': ['48.h1', '48.w1'], 'core': '48.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [8713, -1, 8572, -1], 'generators': [1, 288], 'label': '384.5261.24.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '24.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.u1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402881
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.v1', '12.f1', '12.i1', '12.k1'], 'contains': ['48.i1', '48.u1'], 'core': '48.i1', 'coset_action_label': None, 'count': 16, 'diagramx': [9157, -1, 9500, -1], 'generators': [3, 48], 'label': '384.5261.24.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '24.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402882
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.j1', '16.k1'], 'contains': ['64.a1', '64.b1', '64.d1', '96.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1424, 779, 2262, 1250], 'generators': [196, 216, 16], 'label': '384.5261.32.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.b1'], 'normal_contains': ['64.a1', '64.b1', '64.d1', '96.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402883
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '16.b1', '16.l1', '16.m1'], 'contains': ['64.a1', '64.d1', '64.e1', '96.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [235, 253, 947, 737], 'generators': [4, 216, 16], 'label': '384.5261.32.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['64.a1', '64.d1', '64.e1', '96.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402884
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.c1', '16.d1', '16.n1'], 'contains': ['64.a1', '64.c1', '96.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3079, 2051, 3904, 2587], 'generators': [216, 192, 16], 'label': '384.5261.32.c1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.c1', '16.d1'], 'normal_contains': ['64.a1', '64.c1', '96.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402885
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.e1', '16.f1', '16.o1', '16.p1'], 'contains': ['64.b1', '64.c1', '64.e1', '96.d1'], 'core': '32.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2742, 1553, 3020, 2074], 'generators': [4, 192, 16], 'label': '384.5261.32.d1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.b1', '16.e1', '16.f1'], 'normal_contains': ['64.b1', '64.c1', '64.e1', '96.d1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402886
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.g1', '16.h1', '16.q1', '16.r1'], 'contains': ['64.c1', '64.d1', '96.e1'], 'core': '32.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [2525, 2825, 3567, 3101], 'generators': [220, 192, 16], 'label': '384.5261.32.e1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': ['16.b1', '16.g1', '16.h1'], 'normal_contains': ['64.c1', '64.d1', '96.e1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402887
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '16.e1', '16.g1', '16.s1'], 'contains': ['64.c1', '96.f1'], 'core': '32.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [4600, 3695, 4752, 5216], 'generators': [312, 16, 192], 'label': '384.5261.32.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': ['16.c1', '16.e1', '16.g1'], 'normal_contains': ['64.c1', '96.f1'], 'normalizer': '1.a1', 'old_label': '32.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402888
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '2.d1', '2.e1'], 'contains': ['8.a1', '8.d1', '8.f1', '8.g1', '12.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [8501, 8282, 8293, 8038], 'generators': [4, 192, 96, 312, 48, 16], 'label': '384.5261.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.d1', '2.e1'], 'normal_contains': ['8.a1', '8.d1', '8.f1', '8.g1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402889
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.f1', '16.g1', '16.t1'], 'contains': ['64.c1', '96.g1'], 'core': '32.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [4460, 4156, 4888, 4884], 'generators': [292, 16, 192], 'label': '384.5261.32.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.g1', 'normal_contained_in': ['16.d1', '16.f1', '16.g1'], 'normal_contains': ['64.c1', '96.g1'], 'normalizer': '1.a1', 'old_label': '32.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402890
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '16.f1', '16.h1', '16.i1', '16.u1'], 'contains': ['64.c1', '96.h1'], 'core': '32.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [5265, 5768, 6722, 7090], 'generators': [288, 16, 192], 'label': '384.5261.32.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.h1', 'normal_contained_in': ['16.c1', '16.f1', '16.h1', '16.i1'], 'normal_contains': ['64.c1', '96.h1'], 'normalizer': '1.a1', 'old_label': '32.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402891
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '16.e1', '16.h1', '16.v1', '16.w1'], 'contains': ['64.c1', '96.i1'], 'core': '32.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5064, 3234, 5457, 4038], 'generators': [316, 16, 192], 'label': '384.5261.32.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.i1', 'normal_contained_in': ['16.d1', '16.e1', '16.h1'], 'normal_contains': ['64.c1', '96.i1'], 'normalizer': '1.a1', 'old_label': '32.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402892
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.j1', '16.l1', '16.n1'], 'contains': ['64.a1', '64.f1', '96.j1'], 'core': '64.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1086, -1, 1631, -1], 'generators': [3, 216, 16], 'label': '384.5261.32.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '32.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402893
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '16.o1'], 'contains': ['64.b1', '64.f1', '96.k1'], 'core': '64.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [1944, -1, 2599, -1], 'generators': [195, 196, 16], 'label': '384.5261.32.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.i1', 'old_label': '32.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402894
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.n1', '16.o1', '16.q1', '16.s1', '16.t1', '16.u1', '16.v1'], 'contains': ['64.c1', '64.f1', '96.l1'], 'core': '64.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [3642, -1, 4115, -1], 'generators': [3, 192, 16], 'label': '384.5261.32.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '32.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402895
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.j1', '16.l1', '16.q1'], 'contains': ['64.d1', '64.f1', '96.m1'], 'core': '64.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [452, -1, 2052, -1], 'generators': [3, 220, 16], 'label': '384.5261.32.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.i1', 'old_label': '32.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.m1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402896
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '16.k1', '16.r1'], 'contains': ['64.d1', '96.n1'], 'core': '64.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [908, -1, 1120, -1], 'generators': [49, 16, 28], 'label': '384.5261.32.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402897
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.l1', '16.o1'], 'contains': ['64.e1', '64.f1', '96.o1'], 'core': '64.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [668, -1, 1294, -1], 'generators': [3, 4, 16], 'label': '384.5261.32.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.i1', 'old_label': '32.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402898
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.m1', '16.p1'], 'contains': ['64.e1', '96.p1'], 'core': '64.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [56, -1, 353, -1], 'generators': [338, 16, 4], 'label': '384.5261.32.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.j1', 'old_label': '32.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402899
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.d1'], 'contains': ['8.a1', '8.e1', '8.l1', '8.u1', '12.e1'], 'core': '4.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7332, 5311, 7334, 2368], 'generators': [1, 192, 316, 312, 288, 16], 'label': '384.5261.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.b1', '2.d1'], 'normal_contains': ['8.a1', '8.e1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402900
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': ['8.v1'], 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '24.b1', '24.h1'], 'contains': ['96.b1', '96.n1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1691, 1235, 737, 223], 'generators': [49, 24], 'label': '384.5261.48.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.b1'], 'normal_contains': ['96.b1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402901
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.a1', '24.b1', '24.i1', '24.j1'], 'contains': ['96.a1', '96.b1', '96.c1', '96.d1', '96.e1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3725, 3439, 3188, 1662], 'generators': [4, 216, 192], 'label': '384.5261.48.b1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.b1'], 'normal_contains': ['96.a1', '96.b1', '96.c1', '96.d1', '96.e1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402902
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '24.a1', '24.c1', '24.d1'], 'contains': ['96.c1', '96.f1', '96.h1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7471, 6794, 6895, 7513], 'generators': [312, 288], 'label': '384.5261.48.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.a1', '24.c1', '24.d1'], 'normal_contains': ['96.c1', '96.f1', '96.h1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402903
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '24.a1', '24.k1', '24.l1'], 'contains': ['96.c1', '96.g1', '96.i1'], 'core': '48.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6453, 5025, 5741, 4461], 'generators': [292, 216], 'label': '384.5261.48.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.a1'], 'normal_contains': ['96.c1', '96.g1', '96.i1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402904
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '24.a1', '24.e1', '24.m1', '24.o1'], 'contains': ['96.d1', '96.f1', '96.i1'], 'core': '48.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6670, 4389, 5284, 3615], 'generators': [4, 312], 'label': '384.5261.48.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': ['16.e1', '24.a1', '24.e1'], 'normal_contains': ['96.d1', '96.f1', '96.i1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402905
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '24.a1', '24.f1', '24.n1', '24.p1'], 'contains': ['96.d1', '96.g1', '96.h1'], 'core': '48.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [6976, 7292, 6263, 6667], 'generators': [4, 288], 'label': '384.5261.48.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.f1', 'normal_contained_in': ['16.f1', '24.a1', '24.f1'], 'normal_contains': ['96.d1', '96.g1', '96.h1'], 'normalizer': '1.a1', 'old_label': '48.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402906
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.g1', '24.a1', '24.q1', '24.s1'], 'contains': ['96.e1', '96.f1', '96.g1'], 'core': '48.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5487, 5661, 4579, 5639], 'generators': [292, 312], 'label': '384.5261.48.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.g1', 'normal_contained_in': ['16.g1', '24.a1'], 'normal_contains': ['96.e1', '96.f1', '96.g1'], 'normalizer': '1.a1', 'old_label': '48.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402907
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1', '24.a1', '24.g1', '24.r1', '24.t1', '24.u1'], 'contains': ['96.e1', '96.h1', '96.i1'], 'core': '48.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [7911, 6159, 6549, 6153], 'generators': [316, 288], 'label': '384.5261.48.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.h1', 'normal_contained_in': ['16.h1', '24.a1', '24.g1'], 'normal_contains': ['96.e1', '96.h1', '96.i1'], 'normalizer': '1.a1', 'old_label': '48.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402908
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': ['8.h1'], 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '24.d1', '24.f1', '24.g1', '24.v1'], 'contains': ['96.h1'], 'core': '48.i1', 'coset_action_label': None, 'count': 4, 'diagramx': [9065, 8227, 9079, 8544], 'generators': [48], 'label': '384.5261.48.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.i1', 'normal_contained_in': ['16.i1', '24.d1', '24.f1', '24.g1'], 'normal_contains': ['96.h1'], 'normalizer': '1.a1', 'old_label': '48.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402909
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.j1', '24.i1'], 'contains': ['96.a1', '96.j1', '96.k1', '96.m1'], 'core': '96.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [3520, -1, 2430, -1], 'generators': [3, 196, 216], 'label': '384.5261.48.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '48.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402910
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': ['96.p1', '96.n1'], 'conjugacy_class_count': 4, 'contained_in': ['2.c1'], 'contains': ['8.c1', '8.d1', '8.v1', '12.f1'], 'core': '4.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [9195, 9339, 8754, 9243], 'generators': [3, 192, 288, 312, 48, 16], 'label': '384.5261.4.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['8.c1', '8.d1', '12.f1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402911
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '24.b1'], 'contains': ['96.a1', '96.n1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2524, -1, 1841, -1], 'generators': [241, 216], 'label': '384.5261.48.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '48.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402912
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.l1', '24.h1', '24.i1'], 'contains': ['96.b1', '96.j1', '96.m1', '96.o1'], 'core': '96.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2107, -1, 1462, -1], 'generators': [3, 4, 216], 'label': '384.5261.48.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '48.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402913
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.j1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.m1', '24.h1', '24.j1'], 'contains': ['96.b1', '96.p1'], 'core': '96.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [1292, -1, 527, -1], 'generators': [338, 216], 'label': '384.5261.48.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '48.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402914
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.n1', '24.c1', '24.i1', '24.k1'], 'contains': ['96.c1', '96.j1', '96.l1'], 'core': '96.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [4562, -1, 4283, -1], 'generators': [3, 216, 192], 'label': '384.5261.48.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402915
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.o1', '24.i1', '24.m1', '24.n1'], 'contains': ['96.d1', '96.k1', '96.l1', '96.o1'], 'core': '96.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [4431, -1, 3736, -1], 'generators': [3, 4, 192], 'label': '384.5261.48.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402916
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.p1', '24.j1', '24.o1', '24.p1'], 'contains': ['96.d1', '96.p1'], 'core': '96.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [4065, -1, 2809, -1], 'generators': [338, 192], 'label': '384.5261.48.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '48.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402917
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.q1', '24.i1', '24.q1', '24.r1'], 'contains': ['96.e1', '96.l1', '96.m1'], 'core': '96.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [4300, -1, 4410, -1], 'generators': [3, 220, 192], 'label': '384.5261.48.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402918
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.r1', '24.b1', '24.s1', '24.t1'], 'contains': ['96.e1', '96.n1'], 'core': '96.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [2801, -1, 3357, -1], 'generators': [49, 192], 'label': '384.5261.48.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '48.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.r1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402919
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.s1', '24.c1', '24.m1', '24.q1'], 'contains': ['96.f1', '96.l1'], 'core': '96.f1', 'coset_action_label': None, 'count': 8, 'diagramx': [6172, -1, 5012, -1], 'generators': [3, 312], 'label': '384.5261.48.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '48.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.s1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402920
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.t1', '24.k1', '24.n1', '24.q1'], 'contains': ['96.g1', '96.l1'], 'core': '96.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [5669, -1, 5123, -1], 'generators': [3, 292], 'label': '384.5261.48.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.t1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402921
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['8.b1', '8.h1', '8.i1', '8.j1', '12.g1'], 'core': '8.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [2460, -1, 2163, -1], 'generators': [3, 216, 4, 338, 192, 16], 'label': '384.5261.4.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402922
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.u1', '24.c1', '24.n1', '24.r1', '24.v1'], 'contains': ['96.h1', '96.l1'], 'core': '96.h1', 'coset_action_label': None, 'count': 8, 'diagramx': [7305, -1, 7379, -1], 'generators': [3, 288], 'label': '384.5261.48.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '48.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.u1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402923
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.v1', '24.k1', '24.m1', '24.r1'], 'contains': ['96.i1', '96.l1'], 'core': '96.i1', 'coset_action_label': None, 'count': 8, 'diagramx': [6288, -1, 5581, -1], 'generators': [3, 316], 'label': '384.5261.48.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402924
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '48.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.w1', '24.e1', '24.l1', '24.u1'], 'contains': ['96.i1'], 'core': '96.i1', 'coset_action_label': None, 'count': 4, 'diagramx': [8279, -1, 8188, -1], 'generators': [1], 'label': '384.5261.48.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '48.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402925
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.j1'], 'contains': ['128.a1', '192.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1155, 361, 1943, 1277], 'generators': [216, 16], 'label': '384.5261.64.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1'], 'normal_contains': ['128.a1', '192.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402926
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.d1', '32.k1'], 'contains': ['128.a1', '192.b1'], 'core': '64.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2203, 1027, 2546, 2130], 'generators': [196, 16], 'label': '384.5261.64.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': ['32.a1', '32.d1'], 'normal_contains': ['128.a1', '192.b1'], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402927
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '32.d1', '32.e1', '32.f1', '32.g1', '32.h1', '32.i1', '32.l1'], 'contains': ['128.a1', '192.c1'], 'core': '64.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3104, 2602, 4139, 3279], 'generators': [192, 16], 'label': '384.5261.64.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': ['32.c1', '32.d1', '32.e1', '32.f1', '32.g1', '32.h1', '32.i1'], 'normal_contains': ['128.a1', '192.c1'], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402928
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '32.b1', '32.e1', '32.m1', '32.n1'], 'contains': ['128.a1', '192.d1'], 'core': '64.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [549, 626, 1705, 1549], 'generators': [220, 16], 'label': '384.5261.64.d1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': ['32.a1', '32.b1', '32.e1'], 'normal_contains': ['128.a1', '192.d1'], 'normalizer': '1.a1', 'old_label': '64.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402929
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '32.d1', '32.o1', '32.p1'], 'contains': ['128.a1', '192.e1'], 'core': '64.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [278, 98, 1322, 1005], 'generators': [4, 16], 'label': '384.5261.64.e1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.e1', 'normal_contained_in': ['32.b1', '32.d1'], 'normal_contains': ['128.a1', '192.e1'], 'normalizer': '1.a1', 'old_label': '64.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402930
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.j1', '32.k1', '32.l1', '32.m1', '32.o1'], 'contains': ['128.a1', '192.f1'], 'core': '128.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [1040, -1, 2055, -1], 'generators': [3, 16], 'label': '384.5261.64.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.i1', 'old_label': '64.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402931
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '48.b1', '48.j1', '48.k1'], 'contains': ['192.a1', '192.b1', '192.d1'], 'core': '96.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2620, 2171, 2427, 1839], 'generators': [196, 216], 'label': '384.5261.96.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.b1'], 'normal_contains': ['192.a1', '192.b1', '192.d1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402932
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.e1', '8.m1', '8.o1', '12.h1'], 'core': '8.e1', 'coset_action_label': None, 'count': 8, 'diagramx': [6728, -1, 6287, -1], 'generators': [1, 192, 312, 338, 16, 316], 'label': '384.5261.4.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402933
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.b1', '48.a1', '48.b1', '48.l1', '48.m1'], 'contains': ['192.a1', '192.d1', '192.e1'], 'core': '96.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1614, 1385, 1468, 714], 'generators': [4, 216], 'label': '384.5261.96.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1', '48.b1'], 'normal_contains': ['192.a1', '192.d1', '192.e1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402934
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '48.b1', '48.c1', '48.d1', '48.n1'], 'contains': ['192.a1', '192.c1'], 'core': '96.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4707, 3154, 4283, 2961], 'generators': [216, 192], 'label': '384.5261.96.c1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': ['32.c1', '48.b1', '48.c1', '48.d1'], 'normal_contains': ['192.a1', '192.c1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402935
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '48.b1', '48.e1', '48.f1', '48.o1', '48.p1'], 'contains': ['192.b1', '192.c1', '192.e1'], 'core': '96.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4100, 3454, 3188, 2421], 'generators': [4, 192], 'label': '384.5261.96.d1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.d1', 'normal_contained_in': ['32.d1', '48.b1', '48.e1', '48.f1'], 'normal_contains': ['192.b1', '192.c1', '192.e1'], 'normalizer': '1.a1', 'old_label': '96.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402936
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '48.b1', '48.g1', '48.h1', '48.q1', '48.r1'], 'contains': ['192.c1', '192.d1'], 'core': '96.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [3853, 3754, 3782, 3569], 'generators': [220, 192], 'label': '384.5261.96.e1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '96.e1', 'normal_contained_in': ['32.e1', '48.b1', '48.g1', '48.h1'], 'normal_contains': ['192.c1', '192.d1'], 'normalizer': '1.a1', 'old_label': '96.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402937
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.f1', '48.c1', '48.e1', '48.g1', '48.s1'], 'contains': ['192.c1'], 'core': '96.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5879, 4887, 4823, 5216], 'generators': [312], 'label': '384.5261.96.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.f1', 'normal_contained_in': ['32.f1', '48.c1', '48.e1', '48.g1'], 'normal_contains': ['192.c1'], 'normalizer': '1.a1', 'old_label': '96.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402938
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1', '48.d1', '48.f1', '48.g1', '48.t1'], 'contains': ['192.c1'], 'core': '96.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5577, 5720, 5005, 4884], 'generators': [292], 'label': '384.5261.96.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.g1', 'normal_contained_in': ['32.g1', '48.d1', '48.f1', '48.g1'], 'normal_contains': ['192.c1'], 'normalizer': '1.a1', 'old_label': '96.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402939
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.h1', '48.c1', '48.f1', '48.h1', '48.i1', '48.u1'], 'contains': ['192.c1'], 'core': '96.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [7305, 6593, 6722, 6878], 'generators': [288], 'label': '384.5261.96.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.h1', 'normal_contained_in': ['32.h1', '48.c1', '48.f1', '48.h1', '48.i1'], 'normal_contains': ['192.c1'], 'normalizer': '1.a1', 'old_label': '96.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402940
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.i1', '48.d1', '48.e1', '48.h1', '48.v1', '48.w1'], 'contains': ['192.c1'], 'core': '96.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [6355, 4609, 5581, 4038], 'generators': [316], 'label': '384.5261.96.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.i1', 'normal_contained_in': ['32.i1', '48.d1', '48.e1', '48.h1'], 'normal_contains': ['192.c1'], 'normalizer': '1.a1', 'old_label': '96.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402941
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.j1', '48.j1', '48.l1', '48.n1'], 'contains': ['192.a1', '192.f1'], 'core': '192.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2231, -1, 2174, -1], 'generators': [3, 216], 'label': '384.5261.96.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '96.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402942
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.k1', '48.j1', '48.o1'], 'contains': ['192.b1', '192.f1'], 'core': '192.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2751, -1, 2666, -1], 'generators': [3, 196], 'label': '384.5261.96.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.i1', 'old_label': '96.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.k1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402943
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.c1'], 'contains': ['8.f1', '8.n1', '8.v1', '12.i1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [8758, -1, 8542, -1], 'generators': [3, 192, 288, 4, 48, 16], 'label': '384.5261.4.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402944
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.l1', '48.n1', '48.o1', '48.q1', '48.s1', '48.t1', '48.u1', '48.v1'], 'contains': ['192.c1', '192.f1'], 'core': '192.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [4550, -1, 4410, -1], 'generators': [3, 192], 'label': '384.5261.96.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '96.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.l1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402945
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.m1', '48.j1', '48.l1', '48.q1'], 'contains': ['192.d1', '192.f1'], 'core': '192.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [2051, -1, 2301, -1], 'generators': [3, 220], 'label': '384.5261.96.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.i1', 'old_label': '96.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.m1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402946
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.n1', '48.a1', '48.k1', '48.r1'], 'contains': ['192.d1'], 'core': '192.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [1737, -1, 1594, -1], 'generators': [49], 'label': '384.5261.96.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '96.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402947
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.o1', '48.l1', '48.o1'], 'contains': ['192.e1', '192.f1'], 'core': '192.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [1921, -1, 1824, -1], 'generators': [3, 4], 'label': '384.5261.96.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.i1', 'old_label': '96.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402948
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.j1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.p1', '48.m1', '48.p1'], 'contains': ['192.e1'], 'core': '192.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [1370, -1, 882, -1], 'generators': [338], 'label': '384.5261.96.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.j1', 'old_label': '96.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402949
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '64.b1', '64.c1', '64.d1', '64.e1', '64.f1'], 'contains': ['384.a1'], 'core': '128.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1282, 679, 2058, 1556], 'generators': [16], 'label': '384.5261.128.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '128.a1', 'normal_contained_in': ['64.a1', '64.b1', '64.c1', '64.d1', '64.e1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '128.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402950
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.j1'], 'contains': ['384.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2247, 1159, 2171, 1284], 'generators': [216], 'label': '384.5261.192.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1', '96.c1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402951
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1', '96.a1', '96.d1', '96.k1'], 'contains': ['384.a1'], 'core': '192.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2646, 2072, 2546, 2111], 'generators': [196], 'label': '384.5261.192.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.b1', 'normal_contained_in': ['64.b1', '96.a1', '96.d1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402952
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '192.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '96.c1', '96.d1', '96.e1', '96.f1', '96.g1', '96.h1', '96.i1', '96.l1'], 'contains': ['384.a1'], 'core': '192.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4616, 3754, 4347, 3569], 'generators': [192], 'label': '384.5261.192.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.c1', 'normal_contained_in': ['64.c1', '96.c1', '96.d1', '96.e1', '96.f1', '96.g1', '96.h1', '96.i1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.c1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402953
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '192.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['64.d1', '96.a1', '96.b1', '96.e1', '96.m1', '96.n1'], 'contains': ['384.a1'], 'core': '192.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [1979, 1436, 1946, 1828], 'generators': [220], 'label': '384.5261.192.d1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.d1', 'normal_contained_in': ['64.d1', '96.a1', '96.b1', '96.e1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.d1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402954
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.e1'], 'contains': ['8.f1', '8.p1', '12.j1'], 'core': '8.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [7840, -1, 6804, -1], 'generators': [2, 192, 288, 48, 16, 4], 'label': '384.5261.4.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402955
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.e1', '96.b1', '96.d1', '96.o1', '96.p1'], 'contains': ['384.a1'], 'core': '192.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [1737, 892, 1645, 1012], 'generators': [4], 'label': '384.5261.192.e1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.e1', 'normal_contained_in': ['64.e1', '96.b1', '96.d1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.e1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402956
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '192.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.f1', '96.j1', '96.k1', '96.l1', '96.m1', '96.o1'], 'contains': ['384.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2098, -1, 2282, -1], 'generators': [3], 'label': '384.5261.192.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.i1', 'old_label': '192.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.f1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402957
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '192.a1', '192.b1', '192.c1', '192.d1', '192.e1', '192.f1'], 'contains': [], 'core': '384.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2098, 1298, 2171, 1692], 'generators': [], 'label': '384.5261.384.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '384.a1', 'normal_contained_in': ['128.a1', '192.a1', '192.b1', '192.c1', '192.d1', '192.e1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '384.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402958
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.c1'], 'contains': ['8.g1', '8.r1', '8.v1', '12.k1'], 'core': '8.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [8977, -1, 9212, -1], 'generators': [3, 192, 96, 316, 360, 16], 'label': '384.5261.4.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1', 'old_label': '4.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402959
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1'], 'contains': ['8.g1', '8.t1', '8.u1', '12.l1'], 'core': '8.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [8163, -1, 7930, -1], 'generators': [1, 192, 96, 48, 16, 316], 'label': '384.5261.4.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402960
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': ['192.f1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '4.g1', '6.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6062, 6199, 4855, 5658], 'generators': [3, 216, 4, 338, 192, 288, 16], 'label': '384.5261.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402961
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': ['64.f1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '12.g1'], 'core': '6.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6575, 6776, 4704, 5968], 'generators': [3, 338, 288], 'label': '384.5261.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402962
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': ['64.f1'], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.a1', '12.c1', '12.e1', '12.h1'], 'core': '6.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [7677, 7530, 6546, 5360], 'generators': [1, 338, 288], 'label': '384.5261.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.a1', '12.c1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402963
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.a1', '12.d1', '12.f1', '12.i1', '12.k1'], 'core': '6.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9752, 9712, 8983, 8684], 'generators': [3, 4, 312, 48], 'label': '384.5261.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.a1', '12.d1', '12.f1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402964
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': ['64.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.b1', '12.d1', '12.e1', '12.l1'], 'core': '6.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9457, 5969, 7641, 4015], 'generators': [1, 312, 48], 'label': '384.5261.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.d1', '3.a1'], 'normal_contains': ['12.b1', '12.d1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402965
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': ['64.f1'], 'conjugacy_class_count': 1, 'contained_in': ['2.e1', '3.a1'], 'contains': ['12.c1', '12.d1', '12.j1'], 'core': '6.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [8281, 8841, 7062, 7373], 'generators': [2, 312, 48], 'label': '384.5261.6.e1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.e1', 'normal_contained_in': ['2.e1', '3.a1'], 'normal_contains': ['12.c1', '12.d1'], 'normalizer': '1.a1', 'old_label': '6.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402966
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'contains': ['16.b1', '16.c1', '16.d1', '16.e1', '16.f1', '16.g1', '16.h1', '24.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5063, 4689, 5644, 4710], 'generators': [4, 192, 312, 288, 16], 'label': '384.5261.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1'], 'normal_contains': ['16.b1', '16.c1', '16.d1', '16.e1', '16.f1', '16.g1', '16.h1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402967
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.g1'], 'contains': ['16.a1', '16.b1', '16.k1', '16.r1', '24.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1701, 1916, 2307, 1768], 'generators': [49, 28, 216, 192, 16], 'label': '384.5261.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.a1', '16.b1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402968
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.a1', '4.f1'], 'contains': ['16.c1', '16.n1', '16.s1', '16.u1', '24.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [5804, 7307, 6351, 6818], 'generators': [3, 192, 312, 288, 16], 'label': '384.5261.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1', '4.f1'], 'normal_contains': ['16.c1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402969
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.f1'], 'contains': ['16.c1', '16.i1', '24.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [8800, 8870, 9040, 9209], 'generators': [312, 192, 48, 16, 96], 'label': '384.5261.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.d1', '4.f1'], 'normal_contains': ['16.c1', '16.i1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402970
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '4.h1'], 'contains': ['16.e1', '16.w1', '24.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [6949, 4053, 6939, 2708], 'generators': [1, 192, 312, 16, 316], 'label': '384.5261.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.e1'], 'normal_contains': ['16.e1', '24.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402971
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': ['192.f1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.e1', '4.h1', '6.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6990, 6923, 6417, 4910], 'generators': [1, 312, 316, 338, 192, 288, 16], 'label': '384.5261.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.e1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402972
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.i1', '4.j1'], 'contains': ['16.f1', '16.i1', '24.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [8279, 8275, 8293, 8593], 'generators': [4, 192, 48, 16, 96], 'label': '384.5261.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.d1'], 'normal_contains': ['16.f1', '16.i1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402973
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '4.k1', '4.l1'], 'contains': ['16.h1', '16.i1', '24.g1'], 'core': '8.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [8540, 6758, 8788, 7977], 'generators': [316, 192, 360, 16, 288], 'label': '384.5261.8.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': ['4.d1'], 'normal_contains': ['16.h1', '16.i1', '24.g1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402974
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.g1'], 'contains': ['16.a1', '16.l1', '16.m1', '24.h1'], 'core': '16.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [807, -1, 539, -1], 'generators': [3, 216, 338, 16, 4], 'label': '384.5261.8.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': None}
id: 56402975
{'ambient': '384.5261', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.i1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.g1'], 'contains': ['16.b1', '16.j1', '16.l1', '16.n1', '16.o1', '16.q1', '24.i1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2860, -1, 2757, -1], 'generators': [3, 16, 4, 216, 192], 'label': '384.5261.8.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', '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.