LMFDB - Abstract group data

Formats: - HTML - YAML - JSON - 2026-07-21T10:10:16.998410

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': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [2, 2, 24, 3, 3, 3, 3, 3, 3], 'aut_gens': [[1, 2, 12, 144, 432, 1296, 3888, 11664], [7781, 7786, 27444, 288, 4320, 2592, 7776, 11664], [11665, 2, 31236, 144, 432, 2592, 3888, 23328], [4085, 19583, 31364, 144, 19008, 6912, 19440, 31104], [8069, 7778, 15564, 144, 8208, 24624, 3888, 11664], [15553, 8642, 29820, 19584, 432, 1296, 3888, 11664], [11713, 50, 27228, 144, 12096, 9072, 3888, 11664], [3889, 434, 30684, 4032, 432, 1296, 3888, 11664], [27217, 3890, 3900, 144, 432, 1296, 3888, 11664], [11665, 2, 27228, 144, 432, 1296, 3888, 11664]], 'aut_group': '69984.jh', 'aut_hash': 1193392819585893438, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 69984, 'aut_permdeg': 351, 'aut_perms': [16890943201430724515148081187430413456426143723976427355255898841504518066517295017816744340301474726869527166958163057421631098851680453767812967165943001711663031454540401156394631023658479333752016928722325148891047696753228186812091961668278307959754236892618387476044284998863846644222381646847932527607975552636751522960208821424604243074070500594278399219438913563709608592940003718769874217343862845454992101592179537905894362664752078259896692314779800865266463365469998543626858484340858711889510499323592128336381974376692172366073001929591498298362567605692443971525225190067301447104016109342121571539227538210346107969353249620780242083341012134534657613109488795513710762182027734024288695092901513732373452928189465288287259507, 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33616128508682554083010995597338692049892628876834768669797546196498356516912803022453935879023169355778613063243550086769710974238718590808040957928622046732992253213031109606769723373980239243665093155169221962420244874446080370191448118095167354882225101942121331386308480976180141942993966649822446344364061677807996119436400034189418341748952253286288264591256743342399617446394360905983354408243843262005914748543558560274131089469122991842837432644556380810169964107936669328206768253354477488593779117271951818467398159933851300072803220142352123867411668668301663083914389829403057160638531283403425950223834225338906222786816138909974680066267910759361074760191261367026551020361165297637879151088195101719217698621408298763204339270], 'aut_phi_ratio': 6.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 54, 2, 1], [2, 81, 1, 1], [2, 162, 2, 1], [2, 243, 1, 2], [3, 4, 2, 1], [3, 12, 2, 1], [3, 18, 1, 1], [3, 18, 2, 1], [3, 24, 2, 1], [3, 36, 1, 1], [3, 36, 2, 1], [3, 72, 1, 1], [3, 72, 2, 5], [3, 144, 2, 4], [4, 486, 1, 1], [4, 1458, 1, 1], [6, 108, 2, 2], [6, 162, 1, 1], [6, 162, 2, 1], [6, 216, 2, 1], [6, 324, 1, 1], [6, 324, 2, 6], [6, 648, 1, 1], [6, 648, 2, 4], [6, 972, 2, 4], [6, 1944, 2, 1], [12, 972, 2, 2], [12, 2916, 1, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.F_9:D_6', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '69984.jh', 'autcentquo_hash': 1193392819585893438, 'autcentquo_nilpotent': False, 'autcentquo_order': 69984, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4.F_9:D_6', 'cc_stats': [[1, 1, 1], [2, 54, 2], [2, 81, 1], [2, 162, 2], [2, 243, 2], [3, 4, 2], [3, 12, 2], [3, 18, 3], [3, 24, 2], [3, 36, 3], [3, 72, 11], [3, 144, 8], [4, 486, 1], [4, 1458, 1], [6, 108, 4], [6, 162, 3], [6, 216, 2], [6, 324, 13], [6, 648, 9], [6, 972, 8], [6, 1944, 2], [12, 972, 4], [12, 2916, 1]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '34992.ns', 'commutator_count': 1, 'commutator_label': None, 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 11, 'conjugacy_classes_known': True, 'counter': 357, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 54, 1, 2], [2, 81, 1, 1], [2, 162, 1, 2], [2, 243, 1, 2], [3, 4, 1, 2], [3, 12, 1, 2], [3, 18, 1, 3], [3, 24, 1, 2], [3, 36, 1, 3], [3, 72, 1, 11], [3, 144, 1, 8], [4, 486, 1, 1], [4, 1458, 1, 1], [6, 108, 1, 4], [6, 162, 1, 3], [6, 216, 1, 2], [6, 324, 1, 13], [6, 648, 1, 9], [6, 972, 1, 8], [6, 1944, 1, 2], [12, 972, 1, 2], [12, 972, 2, 1], [12, 2916, 1, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 139345920, 'exponent': 12, 'exponents_of_order': [7, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[36, 1, 8], [72, 1, 4]], 'familial': False, 'frattini_label': '9.2', 'frattini_quotient': '3888.dy', 'hash': 5395324004515259423, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 6, 12, 3, 3, 3, 3, 3], 'inner_gens': [[1, 10, 60, 288, 432, 1296, 7776, 23328], [5, 2, 276, 144, 8640, 1296, 7776, 11664], [97, 314, 12, 288, 10368, 23760, 23328, 3888], [289, 2, 300, 144, 4320, 24624, 3888, 11664], [1, 4754, 5628, 7920, 432, 1296, 3888, 11664], [1, 2, 13836, 11808, 432, 1296, 3888, 11664], [7777, 7778, 15564, 144, 432, 1296, 3888, 11664], [23329, 2, 19452, 144, 432, 1296, 3888, 11664]], 'inner_hash': 5395324004515259423, 'inner_nilpotent': False, 'inner_order': 34992, 'inner_split': False, 'inner_tex': '\\He_3^2:(S_3\\times D_4)', 'inner_used': [1, 2, 3, 5], 'irrC_degree': 36, 'irrQ_degree': 36, 'irrQ_dim': 36, 'irrR_degree': 36, 'irrep_stats': [[1, 8], [2, 14], [4, 23], [8, 22], [16, 8], [36, 8], [72, 4]], 'label': '34992.ns', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': 'He3^2:(S3*D4)', 'ngens': 11, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 50, 'number_characteristic_subgroups': 26, 'number_conjugacy_classes': 87, 'number_divisions': 86, 'number_normal_subgroups': 58, 'number_subgroup_autclasses': 2550, 'number_subgroup_classes': 4875, 'number_subgroups': 664769, 'old_label': None, 'order': 34992, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 999], [3, 2186], [4, 1944], [6, 23058], [12, 6804]], 'outer_abelian': True, 'outer_cyclic': True, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2], 'outer_gen_pows': [109], 'outer_gens': [[1, 427, 404, 144, 1728, 2160, 27216, 15552]], 'outer_group': '2.1', 'outer_hash': 1, 'outer_nilpotent': True, 'outer_order': 2, 'outer_permdeg': 2, 'outer_perms': [1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2', 'pc_rank': 8, 'perfect': False, 'permutation_degree': 54, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 14], [4, 21], [8, 23], [16, 8], [36, 8], [72, 4]], 'representations': {'PC': {'code': '3150585384137554458325054523425505931934715843152161797002112631198923994418166956429616714005670600265414657796814933241784884937028805232744408628644345336127', 'gens': [1, 2, 4, 7, 8, 9, 10, 11], 'pres': [11, -2, -2, -3, -2, -2, -3, -3, -3, 3, -3, 3, 221, 56, 266, 2643, 6086, 3325, 124, 6604, 3315, 158, 6341, 3184, 22182, 1887, 380178, 180605, 76072, 88755, 43622, 2713, 196061, 26782, 10755, 17003, 855369, 427700, 213882, 35693, 2822698, 39247, 117666]}, 'Perm': {'d': 54, 'gens': [17678410794696753403152734710234233361730693154595090513137165010585699, 13311980467329035893381082046996929881879411681379173321865643553033684, 10888866067616064256002533759953086354660612974126527713354096831987, 324220317428976846960082444410768762142564244826699521749580792865402, 122277371353041960011305574031848664531159674808058424060590176120, 8953274675915816722042097540806460107303641286464908593972357581158257, 324214841857112826347872234160525034381535219697239182940799304931896, 274348635481127756256244806677695435812110384150233448508750118321, 786837715318188243979712198267168112839089133853213508, 12442433219130394401577035960281198580440425351120487188635276158136, 4599191193559581329938785614346259675791889845822498646549561620938880]}}, 'schur_multiplier': [2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '\\He_3^2:(S_3\\times D_4)', 'transitive_degree': 54, 'wreath_data': None, 'wreath_product': False}

Column	Type
aut_label	text
centralizer	text
counter	integer
group_counter	integer
group_order	numeric
label	text
order	integer
powers	integer[]
representative	numeric
size	numeric

gps_conj_classes • Show schema

id: 160507335
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 357, 'group_order': 34992, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
id: 160507346
{'aut_label': '2A', 'centralizer': '54.c1', 'counter': 2, 'group_counter': 357, 'group_order': 34992, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 6, 'size': 54}
id: 160507357
{'aut_label': '2A', 'centralizer': '54.c1', 'counter': 3, 'group_counter': 357, 'group_order': 34992, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 399, 'size': 54}
id: 160507368
{'aut_label': '2C', 'centralizer': '81.a1', 'counter': 4, 'group_counter': 357, 'group_order': 34992, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 32904, 'size': 81}
id: 160507379
{'aut_label': '2D', 'centralizer': '162.w1', 'counter': 5, 'group_counter': 357, 'group_order': 34992, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 31386, 'size': 162}
id: 160507390
{'aut_label': '2D', 'centralizer': '162.w1', 'counter': 6, 'group_counter': 357, 'group_order': 34992, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 11, 'size': 162}
id: 160507401
{'aut_label': '2F', 'centralizer': '243.c1', 'counter': 7, 'group_counter': 357, 'group_order': 34992, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 801, 'size': 243}
id: 160507412
{'aut_label': '2G', 'centralizer': '243.d1', 'counter': 8, 'group_counter': 357, 'group_order': 34992, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 23381, 'size': 243}
id: 160507421
{'aut_label': '3A', 'centralizer': '4.f1', 'counter': 9, 'group_counter': 357, 'group_order': 34992, 'label': '3A', 'order': 3, 'powers': [9, 1], 'representative': 23328, 'size': 4}
id: 160507336
{'aut_label': '3A', 'centralizer': '4.f1', 'counter': 10, 'group_counter': 357, 'group_order': 34992, 'label': '3B', 'order': 3, 'powers': [10, 1], 'representative': 15552, 'size': 4}
id: 160507337
{'aut_label': '3C', 'centralizer': '12.z1', 'counter': 11, 'group_counter': 357, 'group_order': 34992, 'label': '3C', 'order': 3, 'powers': [11, 1], 'representative': 4, 'size': 12}
id: 160507338
{'aut_label': '3C', 'centralizer': '12.z1', 'counter': 12, 'group_counter': 357, 'group_order': 34992, 'label': '3D', 'order': 3, 'powers': [12, 1], 'representative': 240, 'size': 12}
id: 160507339
{'aut_label': '3E', 'centralizer': '18.c1', 'counter': 13, 'group_counter': 357, 'group_order': 34992, 'label': '3E', 'order': 3, 'powers': [13, 1], 'representative': 7928, 'size': 18}
id: 160507340
{'aut_label': '3F', 'centralizer': '18.i1', 'counter': 14, 'group_counter': 357, 'group_order': 34992, 'label': '3F', 'order': 3, 'powers': [14, 1], 'representative': 7920, 'size': 18}
id: 160507341
{'aut_label': '3E', 'centralizer': '18.c1', 'counter': 15, 'group_counter': 357, 'group_order': 34992, 'label': '3G', 'order': 3, 'powers': [15, 1], 'representative': 27264, 'size': 18}
id: 160507342
{'aut_label': '3H', 'centralizer': '24.e1', 'counter': 16, 'group_counter': 357, 'group_order': 34992, 'label': '3H', 'order': 3, 'powers': [16, 1], 'representative': 31112, 'size': 24}
id: 160507343
{'aut_label': '3H', 'centralizer': '24.e1', 'counter': 17, 'group_counter': 357, 'group_order': 34992, 'label': '3I', 'order': 3, 'powers': [17, 1], 'representative': 31296, 'size': 24}
id: 160507344
{'aut_label': '3J', 'centralizer': '36.bm1', 'counter': 18, 'group_counter': 357, 'group_order': 34992, 'label': '3J', 'order': 3, 'powers': [18, 1], 'representative': 17280, 'size': 36}
id: 160507345
{'aut_label': '3K', 'centralizer': '36.cr1', 'counter': 19, 'group_counter': 357, 'group_order': 34992, 'label': '3K', 'order': 3, 'powers': [19, 1], 'representative': 19688, 'size': 36}
id: 160507347
{'aut_label': '3J', 'centralizer': '36.bm1', 'counter': 20, 'group_counter': 357, 'group_order': 34992, 'label': '3L', 'order': 3, 'powers': [20, 1], 'representative': 6480, 'size': 36}
id: 160507348
{'aut_label': '3M', 'centralizer': '72.cx1', 'counter': 21, 'group_counter': 357, 'group_order': 34992, 'label': '3M', 'order': 3, 'powers': [21, 1], 'representative': 10952, 'size': 72}
id: 160507349
{'aut_label': '3M', 'centralizer': '72.cx1', 'counter': 22, 'group_counter': 357, 'group_order': 34992, 'label': '3N', 'order': 3, 'powers': [22, 1], 'representative': 5232, 'size': 72}
id: 160507350
{'aut_label': '3O', 'centralizer': '72.o1', 'counter': 23, 'group_counter': 357, 'group_order': 34992, 'label': '3O', 'order': 3, 'powers': [23, 1], 'representative': 9364, 'size': 72}
id: 160507351
{'aut_label': '3P', 'centralizer': '72.k1', 'counter': 24, 'group_counter': 357, 'group_order': 34992, 'label': '3P', 'order': 3, 'powers': [24, 1], 'representative': 32548, 'size': 72}
id: 160507352
{'aut_label': '3Q', 'centralizer': '72.j1', 'counter': 25, 'group_counter': 357, 'group_order': 34992, 'label': '3Q', 'order': 3, 'powers': [25, 1], 'representative': 24632, 'size': 72}
id: 160507353
{'aut_label': '3R', 'centralizer': '72.q1', 'counter': 26, 'group_counter': 357, 'group_order': 34992, 'label': '3R', 'order': 3, 'powers': [26, 1], 'representative': 7056, 'size': 72}
id: 160507354
{'aut_label': '3S', 'centralizer': '72.br1', 'counter': 27, 'group_counter': 357, 'group_order': 34992, 'label': '3S', 'order': 3, 'powers': [27, 1], 'representative': 11716, 'size': 72}
id: 160507355
{'aut_label': '3Q', 'centralizer': '72.j1', 'counter': 28, 'group_counter': 357, 'group_order': 34992, 'label': '3T', 'order': 3, 'powers': [28, 1], 'representative': 7584, 'size': 72}
id: 160507356
{'aut_label': '3P', 'centralizer': '72.k1', 'counter': 29, 'group_counter': 357, 'group_order': 34992, 'label': '3U', 'order': 3, 'powers': [29, 1], 'representative': 7152, 'size': 72}
id: 160507358
{'aut_label': '3O', 'centralizer': '72.o1', 'counter': 30, 'group_counter': 357, 'group_order': 34992, 'label': '3V', 'order': 3, 'powers': [30, 1], 'representative': 30288, 'size': 72}
id: 160507359
{'aut_label': '3R', 'centralizer': '72.q1', 'counter': 31, 'group_counter': 357, 'group_order': 34992, 'label': '3W', 'order': 3, 'powers': [31, 1], 'representative': 29952, 'size': 72}
id: 160507360
{'aut_label': '3X', 'centralizer': '144.q1', 'counter': 32, 'group_counter': 357, 'group_order': 34992, 'label': '3X', 'order': 3, 'powers': [32, 1], 'representative': 1488, 'size': 144}
id: 160507361
{'aut_label': '3X', 'centralizer': '144.q1', 'counter': 33, 'group_counter': 357, 'group_order': 34992, 'label': '3Y', 'order': 3, 'powers': [33, 1], 'representative': 1732, 'size': 144}
id: 160507362
{'aut_label': '3Z', 'centralizer': '144.bb1', 'counter': 34, 'group_counter': 357, 'group_order': 34992, 'label': '3Z', 'order': 3, 'powers': [34, 1], 'representative': 1348, 'size': 144}
id: 160507363
{'aut_label': '3AA', 'centralizer': '144.bf1', 'counter': 35, 'group_counter': 357, 'group_order': 34992, 'label': '3AA', 'order': 3, 'powers': [35, 1], 'representative': 484, 'size': 144}
id: 160507364
{'aut_label': '3AA', 'centralizer': '144.bf1', 'counter': 36, 'group_counter': 357, 'group_order': 34992, 'label': '3AB', 'order': 3, 'powers': [36, 1], 'representative': 1780, 'size': 144}
id: 160507365
{'aut_label': '3Z', 'centralizer': '144.bb1', 'counter': 37, 'group_counter': 357, 'group_order': 34992, 'label': '3AC', 'order': 3, 'powers': [37, 1], 'representative': 3076, 'size': 144}
id: 160507366
{'aut_label': '3AD', 'centralizer': '144.y1', 'counter': 38, 'group_counter': 357, 'group_order': 34992, 'label': '3AD', 'order': 3, 'powers': [38, 1], 'representative': 1636, 'size': 144}
id: 160507367
{'aut_label': '3AD', 'centralizer': '144.y1', 'counter': 39, 'group_counter': 357, 'group_order': 34992, 'label': '3AE', 'order': 3, 'powers': [39, 1], 'representative': 2068, 'size': 144}
id: 160507369
{'aut_label': '4A', 'centralizer': '486.ba1', 'counter': 40, 'group_counter': 357, 'group_order': 34992, 'label': '4A', 'order': 4, 'powers': [4, 40], 'representative': 27828, 'size': 486}
id: 160507370
{'aut_label': '4B', 'centralizer': '1458.o1', 'counter': 41, 'group_counter': 357, 'group_order': 34992, 'label': '4B', 'order': 4, 'powers': [4, 41], 'representative': 32893, 'size': 1458}
id: 160507371
{'aut_label': '6A', 'centralizer': '108.de1', 'counter': 42, 'group_counter': 357, 'group_order': 34992, 'label': '6A', 'order': 6, 'powers': [11, 2], 'representative': 2, 'size': 108}
id: 160507372
{'aut_label': '6B', 'centralizer': '108.a1', 'counter': 43, 'group_counter': 357, 'group_order': 34992, 'label': '6B', 'order': 6, 'powers': [9, 2], 'representative': 11670, 'size': 108}
id: 160507373
{'aut_label': '6A', 'centralizer': '108.de1', 'counter': 44, 'group_counter': 357, 'group_order': 34992, 'label': '6C', 'order': 6, 'powers': [12, 3], 'representative': 159, 'size': 108}
id: 160507374
{'aut_label': '6B', 'centralizer': '108.a1', 'counter': 45, 'group_counter': 357, 'group_order': 34992, 'label': '6D', 'order': 6, 'powers': [10, 3], 'representative': 11707, 'size': 108}
id: 160507375
{'aut_label': '6E', 'centralizer': '162.c1', 'counter': 46, 'group_counter': 357, 'group_order': 34992, 'label': '6E', 'order': 6, 'powers': [15, 4], 'representative': 13416, 'size': 162}
id: 160507376
{'aut_label': '6F', 'centralizer': '162.n1', 'counter': 47, 'group_counter': 357, 'group_order': 34992, 'label': '6F', 'order': 6, 'powers': [14, 4], 'representative': 24552, 'size': 162}
id: 160507377
{'aut_label': '6E', 'centralizer': '162.c1', 'counter': 48, 'group_counter': 357, 'group_order': 34992, 'label': '6G', 'order': 6, 'powers': [13, 4], 'representative': 23984, 'size': 162}
id: 160507378
{'aut_label': '6H', 'centralizer': '216.b1', 'counter': 49, 'group_counter': 357, 'group_order': 34992, 'label': '6H', 'order': 6, 'powers': [16, 2], 'representative': 12538, 'size': 216}
id: 160507380
{'aut_label': '6H', 'centralizer': '216.b1', 'counter': 50, 'group_counter': 357, 'group_order': 34992, 'label': '6I', 'order': 6, 'powers': [17, 3], 'representative': 15979, 'size': 216}
id: 160507381
{'aut_label': '6J', 'centralizer': '324.cf1', 'counter': 51, 'group_counter': 357, 'group_order': 34992, 'label': '6J', 'order': 6, 'powers': [14, 3], 'representative': 5947, 'size': 324}
id: 160507382
{'aut_label': '6K', 'centralizer': '324.cl1', 'counter': 52, 'group_counter': 357, 'group_order': 34992, 'label': '6K', 'order': 6, 'powers': [10, 5], 'representative': 5658, 'size': 324}
id: 160507383
{'aut_label': '6L', 'centralizer': '324.cf1', 'counter': 53, 'group_counter': 357, 'group_order': 34992, 'label': '6L', 'order': 6, 'powers': [13, 2], 'representative': 9490, 'size': 324}
id: 160507384
{'aut_label': '6M', 'centralizer': '324.ew1', 'counter': 54, 'group_counter': 357, 'group_order': 34992, 'label': '6M', 'order': 6, 'powers': [19, 4], 'representative': 4732, 'size': 324}
id: 160507385
{'aut_label': '6N', 'centralizer': '324.cg1', 'counter': 55, 'group_counter': 357, 'group_order': 34992, 'label': '6N', 'order': 6, 'powers': [11, 4], 'representative': 14624, 'size': 324}
id: 160507386
{'aut_label': '6O', 'centralizer': '324.j1', 'counter': 56, 'group_counter': 357, 'group_order': 34992, 'label': '6O', 'order': 6, 'powers': [18, 3], 'representative': 16815, 'size': 324}
id: 160507387
{'aut_label': '6P', 'centralizer': '324.cf1', 'counter': 57, 'group_counter': 357, 'group_order': 34992, 'label': '6P', 'order': 6, 'powers': [12, 3], 'representative': 7723, 'size': 324}
id: 160507388
{'aut_label': '6L', 'centralizer': '324.cf1', 'counter': 58, 'group_counter': 357, 'group_order': 34992, 'label': '6Q', 'order': 6, 'powers': [15, 3], 'representative': 11683, 'size': 324}
id: 160507389
{'aut_label': '6N', 'centralizer': '324.cg1', 'counter': 59, 'group_counter': 357, 'group_order': 34992, 'label': '6R', 'order': 6, 'powers': [12, 4], 'representative': 23928, 'size': 324}
id: 160507391
{'aut_label': '6P', 'centralizer': '324.cf1', 'counter': 60, 'group_counter': 357, 'group_order': 34992, 'label': '6S', 'order': 6, 'powers': [11, 2], 'representative': 10450, 'size': 324}
id: 160507392
{'aut_label': '6O', 'centralizer': '324.j1', 'counter': 61, 'group_counter': 357, 'group_order': 34992, 'label': '6T', 'order': 6, 'powers': [20, 2], 'representative': 24318, 'size': 324}
id: 160507393
{'aut_label': '6K', 'centralizer': '324.cl1', 'counter': 62, 'group_counter': 357, 'group_order': 34992, 'label': '6U', 'order': 6, 'powers': [9, 6], 'representative': 7779, 'size': 324}
id: 160507394
{'aut_label': '6J', 'centralizer': '324.cf1', 'counter': 63, 'group_counter': 357, 'group_order': 34992, 'label': '6V', 'order': 6, 'powers': [14, 2], 'representative': 22206, 'size': 324}
id: 160507395
{'aut_label': '6W', 'centralizer': '648.b1', 'counter': 64, 'group_counter': 357, 'group_order': 34992, 'label': '6W', 'order': 6, 'powers': [23, 2], 'representative': 14450, 'size': 648}
id: 160507396
{'aut_label': '6X', 'centralizer': '648.b1', 'counter': 65, 'group_counter': 357, 'group_order': 34992, 'label': '6X', 'order': 6, 'powers': [24, 2], 'representative': 2930, 'size': 648}
id: 160507397
{'aut_label': '6Y', 'centralizer': '648.a1', 'counter': 66, 'group_counter': 357, 'group_order': 34992, 'label': '6Y', 'order': 6, 'powers': [25, 2], 'representative': 26890, 'size': 648}
id: 160507398
{'aut_label': '6Z', 'centralizer': '648.b1', 'counter': 67, 'group_counter': 357, 'group_order': 34992, 'label': '6Z', 'order': 6, 'powers': [26, 3], 'representative': 13871, 'size': 648}
id: 160507399
{'aut_label': '6AA', 'centralizer': '648.cy1', 'counter': 68, 'group_counter': 357, 'group_order': 34992, 'label': '6AA', 'order': 6, 'powers': [27, 4], 'representative': 34592, 'size': 648}
id: 160507400
{'aut_label': '6Y', 'centralizer': '648.a1', 'counter': 69, 'group_counter': 357, 'group_order': 34992, 'label': '6AB', 'order': 6, 'powers': [28, 3], 'representative': 9663, 'size': 648}
id: 160507402
{'aut_label': '6X', 'centralizer': '648.b1', 'counter': 70, 'group_counter': 357, 'group_order': 34992, 'label': '6AC', 'order': 6, 'powers': [29, 3], 'representative': 14351, 'size': 648}
id: 160507403
{'aut_label': '6W', 'centralizer': '648.b1', 'counter': 71, 'group_counter': 357, 'group_order': 34992, 'label': '6AD', 'order': 6, 'powers': [30, 3], 'representative': 27935, 'size': 648}
id: 160507404
{'aut_label': '6Z', 'centralizer': '648.b1', 'counter': 72, 'group_counter': 357, 'group_order': 34992, 'label': '6AE', 'order': 6, 'powers': [31, 2], 'representative': 28854, 'size': 648}
id: 160507405
{'aut_label': '6AF', 'centralizer': '972.ds1', 'counter': 73, 'group_counter': 357, 'group_order': 34992, 'label': '6AF', 'order': 6, 'powers': [13, 5], 'representative': 19150, 'size': 972}
id: 160507406
{'aut_label': '6AG', 'centralizer': '972.z1', 'counter': 74, 'group_counter': 357, 'group_order': 34992, 'label': '6AG', 'order': 6, 'powers': [18, 5], 'representative': 34866, 'size': 972}
id: 160507407
{'aut_label': '6AH', 'centralizer': '972.ba1', 'counter': 75, 'group_counter': 357, 'group_order': 34992, 'label': '6AH', 'order': 6, 'powers': [10, 7], 'representative': 31905, 'size': 972}
id: 160507408
{'aut_label': '6AI', 'centralizer': '972.bm1', 'counter': 76, 'group_counter': 357, 'group_order': 34992, 'label': '6AI', 'order': 6, 'powers': [20, 8], 'representative': 32453, 'size': 972}
id: 160507409
{'aut_label': '6AF', 'centralizer': '972.ds1', 'counter': 77, 'group_counter': 357, 'group_order': 34992, 'label': '6AJ', 'order': 6, 'powers': [15, 6], 'representative': 28475, 'size': 972}
id: 160507410
{'aut_label': '6AI', 'centralizer': '972.bm1', 'counter': 78, 'group_counter': 357, 'group_order': 34992, 'label': '6AK', 'order': 6, 'powers': [18, 8], 'representative': 15077, 'size': 972}
id: 160507411
{'aut_label': '6AH', 'centralizer': '972.ba1', 'counter': 79, 'group_counter': 357, 'group_order': 34992, 'label': '6AL', 'order': 6, 'powers': [9, 7], 'representative': 12417, 'size': 972}
id: 160507413
{'aut_label': '6AG', 'centralizer': '972.z1', 'counter': 80, 'group_counter': 357, 'group_order': 34992, 'label': '6AM', 'order': 6, 'powers': [20, 6], 'representative': 29095, 'size': 972}
id: 160507414
{'aut_label': '6AN', 'centralizer': '1944.ck1', 'counter': 81, 'group_counter': 357, 'group_order': 34992, 'label': '6AN', 'order': 6, 'powers': [21, 5], 'representative': 10366, 'size': 1944}
id: 160507415
{'aut_label': '6AN', 'centralizer': '1944.ck1', 'counter': 82, 'group_counter': 357, 'group_order': 34992, 'label': '6AO', 'order': 6, 'powers': [22, 6], 'representative': 2699, 'size': 1944}
id: 160507416
{'aut_label': '12A', 'centralizer': '972.do1', 'counter': 83, 'group_counter': 357, 'group_order': 34992, 'label': '12A', 'order': 12, 'powers': [46, 40], 'representative': 24780, 'size': 972}
id: 160507417
{'aut_label': '12A', 'centralizer': '972.do1', 'counter': 84, 'group_counter': 357, 'group_order': 34992, 'label': '12B', 'order': 12, 'powers': [48, 40], 'representative': 21784, 'size': 972}
id: 160507418
{'aut_label': '12C1', 'centralizer': '972.do1', 'counter': 85, 'group_counter': 357, 'group_order': 34992, 'label': '12C1', 'order': 12, 'powers': [54, 40], 'representative': 6332, 'size': 972}
id: 160507419
{'aut_label': '12C1', 'centralizer': '972.do1', 'counter': 86, 'group_counter': 357, 'group_order': 34992, 'label': '12C-1', 'order': 12, 'powers': [54, 40], 'representative': 11248, 'size': 972}
id: 160507420
{'aut_label': '12D', 'centralizer': '2916.bq1', 'counter': 87, 'group_counter': 357, 'group_order': 34992, 'label': '12D', 'order': 12, 'powers': [47, 41], 'representative': 22741, 'size': 2916}

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: 15792843
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.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], 'schur_index': 1}
id: 15792854
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.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], 'schur_index': 1}
id: 15792865
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.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], 'schur_index': 1}
id: 15792876
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.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], 'schur_index': 1}
id: 15792887
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.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], 'schur_index': 1}
id: 15792898
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.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], 'schur_index': 1}
id: 15792909
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.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], 'schur_index': 1}
id: 15792920
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.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], 'schur_index': 1}
id: 15792928
{'cdim': 2, 'counter': 9, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, -1, 2, 2, -1, 2, -1, 2, -1, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, -1, 2, -1, 2, 2, 0, -1, 2, 0, 0, -1, 2, 2, -1, -1, -1, 0, 0, 2, 0, 0, 0, 0, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, -1, -1, 2, -1, -1, 0], 'schur_index': 1}
id: 15792844
{'cdim': 2, 'counter': 10, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2b', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 0, 2, 2, 0, 0, 0, 2, 2, -1, 2, -1, 2, 2, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 0, -1, 2, 0, 0, 2, 2, -1, -1, 0, 0, 2, -1, -1, -1, 0, 0, 0, 2, -1, 2, 0, 2, -1, -1, -1, 0, -1, 0, 0, 0, 2, -1, 2, 0, 0, 0, 0, 0, 0, -1, 0, 2, -1, -1, -1, 0], 'schur_index': 1}
id: 15792845
{'cdim': 2, 'counter': 11, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2c', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 0, 2, -1, 2, -1, 2, 2, -1, 2, -1, -1, -1, 0, 2, 2, -1, 2, -1, 2, -1, -1, 2, 0, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], 'schur_index': 1}
id: 15792846
{'cdim': 2, 'counter': 12, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 0, 0, -2, 0, 0, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792847
{'cdim': 2, 'counter': 13, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 0, 0, -2, 0, 0, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792848
{'cdim': 2, 'counter': 14, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 0, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 0, 2, 1, -2, 1, -2, 2, -1, 2, 1, 1, 1, 0, -2, 2, -1, -2, 1, -2, -1, 1, -2, 0, 1, -2, 1, 1, 1, -1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], 'schur_index': 1}
id: 15792849
{'cdim': 2, 'counter': 15, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 0, 2, -2, 0, 0, 0, 2, 2, -1, 2, -1, 2, 2, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 0, 1, -2, 0, 0, 2, 2, -1, 1, 0, 0, -2, 1, -1, -1, 0, 0, 0, 2, 1, -2, 0, -2, 1, 1, 1, 0, -1, 0, 0, 0, -2, 1, -2, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, -1, -1, 0], 'schur_index': 1}
id: 15792850
{'cdim': 2, 'counter': 16, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 0, 2, 2, 0, 0, 0, 2, 2, -1, 2, -1, 2, 2, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -2, 0, 1, -2, 0, 0, 2, 2, -1, 1, 0, 0, 2, 1, -1, -1, 0, 0, 0, 2, 1, -2, 0, -2, 1, 1, 1, 0, -1, 0, 0, 0, -2, -1, 2, 0, 0, 0, 0, 0, 0, -1, 0, -2, 1, 1, 1, 0], 'schur_index': 1}
id: 15792851
{'cdim': 2, 'counter': 17, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2i', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 0, -2, 1, -2, -1, 2, 2, -1, 2, 1, -1, -1, 0, -2, 2, -1, 2, -1, 2, -1, 1, -2, 0, 1, -2, 1, 1, -1, -1, -1, -1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'schur_index': 1}
id: 15792852
{'cdim': 2, 'counter': 18, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 0, -2, 2, 0, -2, 0, 0, 2, 2, 2, -1, 2, 2, -1, 2, -1, 2, -1, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, 0, 0, 0, 1, -2, -1, 2, 2, 0, 1, -2, 0, 0, -1, 2, -2, 1, 1, -1, 0, 0, -2, 0, 0, 0, 0, -2, -1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 1, -1, 2, -1, -1, 0], 'schur_index': 1}
id: 15792853
{'cdim': 2, 'counter': 19, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2k', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 0, -2, 2, 0, 2, 0, 0, 2, 2, 2, -1, 2, 2, -1, 2, -1, 2, -1, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -2, 0, 0, 0, 1, -2, -1, 2, 2, 0, 1, -2, 0, 0, -1, 2, -2, 1, 1, -1, 0, 0, 2, 0, 0, 0, 0, -2, -1, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 2, 0, -1, 1, -2, 1, 1, 0], 'schur_index': 1}
id: 15792855
{'cdim': 2, 'counter': 20, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2l', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 0, 2, 2, 0, -2, 0, 0, 2, 2, 2, -1, 2, 2, -1, 2, -1, 2, -1, 2, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -2, 0, 0, 0, -1, 2, -1, 2, 2, 0, -1, 2, 0, 0, -1, 2, 2, -1, -1, -1, 0, 0, -2, 0, 0, 0, 0, 2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 1, 1, -2, 1, 1, 0], 'schur_index': 1}
id: 15792856
{'cdim': 2, 'counter': 21, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2m', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 0, 0, 0, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 0, -2, -1, 2, 1, -2, 2, -1, 2, -1, 1, 1, 0, 2, 2, -1, -2, 1, -2, -1, -1, 2, 0, -1, 2, -1, -1, 1, -1, 1, 1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'schur_index': 1}
id: 15792857
{'cdim': 2, 'counter': 22, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.2n', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 0, 2, -2, 0, 0, 0, 2, 2, -1, 2, -1, 2, 2, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -2, 0, -1, 2, 0, 0, 2, 2, -1, -1, 0, 0, -2, -1, -1, -1, 0, 0, 0, 2, -1, 2, 0, 2, -1, -1, -1, 0, -1, 0, 0, 0, 2, 1, -2, 0, 0, 0, 0, 0, 0, 1, 0, -2, 1, 1, 1, 0], 'schur_index': 1}
id: 15792858
{'cdim': 4, 'counter': 23, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4a', 'multiplicity': 1, 'nt': [6, 9], 'qdim': 4, 'qvalues': [4, 0, 0, 4, 0, 0, 0, 0, 4, 4, -2, -2, -2, 4, -2, -2, -2, 4, 1, 4, -2, -2, -2, -2, -2, 4, 1, -2, -2, -2, 4, -2, -2, 1, 1, 1, 1, 1, 1, 4, 0, 0, 0, 0, 0, -2, 4, -2, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, 1, 0], 'schur_index': 1}
id: 15792859
{'cdim': 4, 'counter': 24, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4b', 'multiplicity': 1, 'nt': [6, 9], 'qdim': 4, 'qvalues': [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, -2, 1, 4, -2, -2, -2, 1, 4, -2, 4, 4, -2, 4, -2, -2, -2, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, 1, 4, -2, -2, 4, 0, 1, -2, 0, 0, -2, -2, 4, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, -2, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792860
{'cdim': 4, 'counter': 25, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4c', 'multiplicity': 1, 'nt': [6, 9], 'qdim': 4, 'qvalues': [4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 1, -2, -2, -2, 4, 1, -2, 4, -2, 4, -2, 4, -2, 1, 1, -2, 1, -2, -2, 4, -2, -2, 1, 1, 1, 1, 1, -2, -2, 0, 0, 1, 4, 0, 0, 4, -2, -2, 1, 0, 0, 0, -2, -2, 1, 0, 0, 0, -2, 1, 4, 0, -2, -2, 1, 1, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792861
{'cdim': 4, 'counter': 26, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4d', 'multiplicity': 1, 'nt': [6, 13], 'qdim': 4, 'qvalues': [4, 0, 2, 0, 2, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, -2, 1, -2, -2, -2, -2, 1, 4, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, 2, -1, 0, -2, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792862
{'cdim': 4, 'counter': 27, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4e', 'multiplicity': 1, 'nt': [6, 13], 'qdim': 4, 'qvalues': [4, 2, 0, 0, 0, 2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, 4, 1, -2, 1, 1, 1, 1, -2, 4, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -1, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 2, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792863
{'cdim': 4, 'counter': 28, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4f', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 0, 0, -4, 0, 0, 0, 0, 4, 4, -2, -2, 4, -2, 4, -2, -2, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, -4, 2, -4, 0, 0, 0, 0, 0, -4, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792864
{'cdim': 4, 'counter': 29, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4g', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 0, 0, -4, 0, 0, 0, 0, 4, 4, -2, 4, -2, 4, 4, -2, 4, 4, -2, 4, -2, 4, -2, -2, -2, 4, -2, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, -4, -4, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792866
{'cdim': 4, 'counter': 30, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4h', 'multiplicity': 1, 'nt': [12, 28], 'qdim': 4, 'qvalues': [4, 0, 0, -4, 0, 0, 0, 0, 4, 4, 4, -2, 4, 4, -2, 4, -2, 4, -2, 4, 4, -2, 4, 4, 4, 4, -2, -2, -2, -2, 4, -2, 4, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 2, -4, -4, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792867
{'cdim': 4, 'counter': 31, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4i', 'multiplicity': 1, 'nt': [12, 34], 'qdim': 4, 'qvalues': [4, -2, 0, 0, 0, -2, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, 4, 1, -2, 1, 1, 1, 1, -2, 4, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 1, -2, -2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -2, -2, 0, 1, 0, 1, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792868
{'cdim': 4, 'counter': 32, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4j', 'multiplicity': 1, 'nt': [12, 34], 'qdim': 4, 'qvalues': [4, 0, -2, 0, -2, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, -2, 1, -2, -2, -2, -2, 1, 4, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, -2, 1, 0, -2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792869
{'cdim': 4, 'counter': 33, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4k', 'multiplicity': 1, 'nt': [12, 37], 'qdim': 4, 'qvalues': [4, -4, 0, 4, 0, 0, 0, 0, 4, 4, 1, -2, -2, -2, 4, 1, -2, 4, -2, 4, -2, 4, -2, 1, 1, -2, 1, -2, -2, 4, -2, -2, 1, 1, 1, 1, 1, -2, -2, 0, 0, -1, -4, 0, 0, 4, -2, -2, -1, 0, 0, 0, 2, -2, 1, 0, 0, 0, -2, -1, -4, 0, 2, 2, -1, -1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792870
{'cdim': 4, 'counter': 34, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4l', 'multiplicity': 1, 'nt': [12, 37], 'qdim': 4, 'qvalues': [4, 0, -4, 4, 0, 0, 0, 0, 4, 4, -2, 1, 4, -2, -2, -2, 1, 4, -2, 4, 4, -2, 4, -2, -2, -2, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, -1, -4, -2, -2, 4, 0, -1, 2, 0, 0, -2, -2, -4, -1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792871
{'cdim': 4, 'counter': 35, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4m', 'multiplicity': 1, 'nt': [12, 37], 'qdim': 4, 'qvalues': [4, 0, 0, 4, 0, 0, 0, 0, 4, 4, -2, -2, -2, 4, -2, -2, -2, 4, 1, 4, -2, -2, -2, -2, -2, 4, 1, -2, -2, -2, 4, -2, -2, 1, 1, 1, 1, 1, 1, -4, 0, 0, 0, 0, 0, -2, 4, -2, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, -1, 0], 'schur_index': 1}
id: 15792872
{'cdim': 4, 'counter': 36, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4n', 'multiplicity': 1, 'nt': [12, 77], 'qdim': 4, 'qvalues': [4, -2, 0, 0, 0, 2, 0, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, 4, 1, -2, 1, 1, 1, 1, -2, 4, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 1, 2, -2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -1, 2, 2, 0, -1, 0, -1, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792873
{'cdim': 4, 'counter': 37, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4o', 'multiplicity': 1, 'nt': [12, 77], 'qdim': 4, 'qvalues': [4, 0, -2, 0, 2, 0, 0, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, -2, 1, -2, -2, -2, -2, 1, 4, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, 2, 0, 0, 0, 1, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, -1, 0, 2, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792874
{'cdim': 4, 'counter': 38, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4p', 'multiplicity': 1, 'nt': [12, 77], 'qdim': 4, 'qvalues': [4, 0, 2, 0, -2, 0, 0, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, -2, 1, -2, -2, -2, -2, 1, 4, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, -2, 0, 0, 0, -1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, -1, 0, -2, 1, 0, 2, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792875
{'cdim': 4, 'counter': 39, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4q', 'multiplicity': 1, 'nt': [12, 77], 'qdim': 4, 'qvalues': [4, 2, 0, 0, 0, -2, 0, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, 4, 1, -2, 1, 1, 1, 1, -2, 4, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, -1, -2, 2, -1, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, -2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792877
{'cdim': 4, 'counter': 40, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4r', 'multiplicity': 1, 'nt': [12, 81], 'qdim': 4, 'qvalues': [4, 0, 0, -4, 0, 0, 0, 0, 4, 4, -2, 1, 4, -2, -2, -2, 1, 4, -2, 4, 4, -2, 4, -2, -2, -2, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, -3, 0, 2, 2, -4, 0, -3, 0, 0, 0, 2, 2, 0, 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, -3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792878
{'cdim': 4, 'counter': 41, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4s', 'multiplicity': 1, 'nt': [12, 81], 'qdim': 4, 'qvalues': [4, 0, 0, -4, 0, 0, 0, 0, 4, 4, -2, 1, 4, -2, -2, -2, 1, 4, -2, 4, 4, -2, 4, -2, -2, -2, 1, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, -2, -2, 0, 0, 0, 0, 3, 0, 2, 2, -4, 0, 3, 0, 0, 0, 2, 2, 0, -3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 3, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792879
{'cdim': 4, 'counter': 42, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4t', 'multiplicity': 1, 'nt': [12, 81], 'qdim': 4, 'qvalues': [4, 0, 0, -4, 0, 0, 0, 0, 4, 4, 1, -2, -2, -2, 4, 1, -2, 4, -2, 4, -2, 4, -2, 1, 1, -2, 1, -2, -2, 4, -2, -2, 1, 1, 1, 1, 1, -2, -2, 0, 0, -3, 0, 0, 0, -4, 2, 2, -3, 0, 0, 0, 0, 2, -1, 0, 0, 0, 2, 3, 0, 0, 0, 0, 3, -3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792880
{'cdim': 4, 'counter': 43, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4u', 'multiplicity': 1, 'nt': [12, 81], 'qdim': 4, 'qvalues': [4, 0, 0, -4, 0, 0, 0, 0, 4, 4, 1, -2, -2, -2, 4, 1, -2, 4, -2, 4, -2, 4, -2, 1, 1, -2, 1, -2, -2, 4, -2, -2, 1, 1, 1, 1, 1, -2, -2, 0, 0, 3, 0, 0, 0, -4, 2, 2, 3, 0, 0, 0, 0, 2, -1, 0, 0, 0, 2, -3, 0, 0, 0, 0, -3, 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792881
{'cdim': 4, 'counter': 44, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.4v', 'multiplicity': 2, 'nt': [24, 231], 'qdim': 8, 'qvalues': [8, 0, 0, -8, 0, 0, 0, 0, 8, 8, -4, -4, -4, 8, -4, -4, -4, 8, 2, 8, -4, -4, -4, -4, -4, 8, 2, -4, -4, -4, 8, -4, -4, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 4, -8, 4, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792882
{'cdim': 8, 'counter': 45, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8a', 'multiplicity': 1, 'nt': [12, 117], 'qdim': 8, 'qvalues': [8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 2, 2, -4, -4, -4, 2, 2, 8, 2, 8, -4, -4, -4, 2, 2, -4, -1, 2, 2, -4, -4, 2, 2, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792883
{'cdim': 8, 'counter': 46, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8b', 'multiplicity': 1, 'nt': [12, 156], 'qdim': 8, 'qvalues': [8, 0, 0, 0, 0, 4, 0, 0, 8, 8, 8, -4, 8, 8, -4, 8, -4, -4, -4, 2, -4, -1, 2, 2, 2, -4, -4, 2, 2, 2, 2, -1, -4, -1, -1, 2, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792884
{'cdim': 8, 'counter': 47, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8c', 'multiplicity': 1, 'nt': [12, 156], 'qdim': 8, 'qvalues': [8, 0, 0, 0, 4, 0, 0, 0, 8, 8, -4, 8, -4, 8, 8, -4, 8, 2, -4, -4, -1, -4, 2, 2, 2, 2, -4, 2, 2, 2, -4, -4, -1, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792885
{'cdim': 8, 'counter': 48, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8d', 'multiplicity': 1, 'nt': [12, 156], 'qdim': 8, 'qvalues': [8, 0, 4, 0, 0, 0, 0, 0, 8, 8, -4, -4, 8, -4, 8, -4, -4, 2, 8, -4, 2, -4, -4, 2, 2, -1, -4, -1, -1, 2, 2, 2, -1, 2, 2, -1, -1, -4, 2, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792886
{'cdim': 8, 'counter': 49, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8e', 'multiplicity': 1, 'nt': [12, 156], 'qdim': 8, 'qvalues': [8, 0, 4, 0, 0, 0, 0, 0, 8, 8, 8, -4, 8, 8, -4, 8, -4, 2, -4, -4, 2, 2, -4, -4, -4, 2, -4, -1, -1, -1, -4, 2, 2, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792888
{'cdim': 8, 'counter': 50, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8f', 'multiplicity': 1, 'nt': [12, 156], 'qdim': 8, 'qvalues': [8, 4, 0, 0, 0, 0, 0, 0, 8, 8, -4, -4, 8, -4, 8, -4, -4, -4, 8, 2, -4, 2, 2, -1, -1, 2, -4, 2, 2, -4, -1, -1, 2, -1, -1, 2, 2, 2, -4, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, -2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792889
{'cdim': 8, 'counter': 51, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8g', 'multiplicity': 1, 'nt': [12, 156], 'qdim': 8, 'qvalues': [8, 4, 0, 0, 0, 0, 0, 0, 8, 8, -4, 8, -4, 8, 8, -4, 8, -4, -4, 2, 2, 2, -1, -1, -1, -4, -4, -4, -4, -4, 2, 2, 2, -1, -1, 2, 2, -1, 2, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, 4, 1, 1, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792890
{'cdim': 8, 'counter': 52, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8h', 'multiplicity': 1, 'nt': [12, 217], 'qdim': 8, 'qvalues': [8, 0, 4, 0, 0, 0, 0, 0, 8, 8, -4, 2, 8, -4, -4, -4, 2, 2, -4, -4, 2, 2, -4, 2, 2, -1, 2, -4, 5, -1, 2, -1, -1, -1, -1, 5, -4, 2, -1, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792891
{'cdim': 8, 'counter': 53, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8i', 'multiplicity': 1, 'nt': [12, 217], 'qdim': 8, 'qvalues': [8, 0, 4, 0, 0, 0, 0, 0, 8, 8, -4, 2, 8, -4, -4, -4, 2, 2, -4, -4, 2, 2, -4, 2, 2, -1, 2, 5, -4, -1, 2, -1, -1, -1, -1, -4, 5, 2, -1, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, -2, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792892
{'cdim': 8, 'counter': 54, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8j', 'multiplicity': 1, 'nt': [12, 217], 'qdim': 8, 'qvalues': [8, 4, 0, 0, 0, 0, 0, 0, 8, 8, 2, -4, -4, -4, 8, 2, -4, -4, -4, 2, 2, 2, -1, -4, 5, 2, 2, 2, 2, -4, -1, -1, -1, 5, -4, -1, -1, -1, 2, 0, 0, -2, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 4, -2, 0, -2, 1, -2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792893
{'cdim': 8, 'counter': 55, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8k', 'multiplicity': 1, 'nt': [12, 217], 'qdim': 8, 'qvalues': [8, 4, 0, 0, 0, 0, 0, 0, 8, 8, 2, -4, -4, -4, 8, 2, -4, -4, -4, 2, 2, 2, -1, 5, -4, 2, 2, 2, 2, -4, -1, -1, -1, -4, 5, -1, -1, -1, 2, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 1, 1, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792894
{'cdim': 8, 'counter': 56, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8l', 'multiplicity': 1, 'nt': [24, 1294], 'qdim': 8, 'qvalues': [8, 0, 0, -8, 0, 0, 0, 0, 8, 8, 2, 2, -4, -4, -4, 2, 2, 8, 2, 8, -4, -4, -4, 2, 2, -4, -1, 2, 2, -4, -4, 2, 2, -1, -1, -1, -1, 2, 2, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792895
{'cdim': 8, 'counter': 57, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8m', 'multiplicity': 1, 'nt': [24, 1322], 'qdim': 8, 'qvalues': [8, -4, 0, 0, 0, 0, 0, 0, 8, 8, -4, -4, 8, -4, 8, -4, -4, -4, 8, 2, -4, 2, 2, -1, -1, 2, -4, 2, 2, -4, -1, -1, 2, -1, -1, 2, 2, 2, -4, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, -1, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792896
{'cdim': 8, 'counter': 58, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8n', 'multiplicity': 1, 'nt': [24, 1322], 'qdim': 8, 'qvalues': [8, -4, 0, 0, 0, 0, 0, 0, 8, 8, -4, 8, -4, 8, 8, -4, 8, -4, -4, 2, 2, 2, -1, -1, -1, -4, -4, -4, -4, -4, 2, 2, 2, -1, -1, 2, 2, -1, 2, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, -4, -1, -1, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792897
{'cdim': 8, 'counter': 59, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8o', 'multiplicity': 1, 'nt': [24, 1322], 'qdim': 8, 'qvalues': [8, 0, -4, 0, 0, 0, 0, 0, 8, 8, -4, -4, 8, -4, 8, -4, -4, 2, 8, -4, 2, -4, -4, 2, 2, -1, -4, -1, -1, 2, 2, 2, -1, 2, 2, -1, -1, -4, 2, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792899
{'cdim': 8, 'counter': 60, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8p', 'multiplicity': 1, 'nt': [24, 1322], 'qdim': 8, 'qvalues': [8, 0, -4, 0, 0, 0, 0, 0, 8, 8, 8, -4, 8, 8, -4, 8, -4, 2, -4, -4, 2, 2, -4, -4, -4, 2, -4, -1, -1, -1, -4, 2, 2, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792900
{'cdim': 8, 'counter': 61, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8q', 'multiplicity': 1, 'nt': [24, 1322], 'qdim': 8, 'qvalues': [8, 0, 0, 0, -4, 0, 0, 0, 8, 8, -4, 8, -4, 8, 8, -4, 8, 2, -4, -4, -1, -4, 2, 2, 2, 2, -4, 2, 2, 2, -4, -4, -1, 2, 2, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792901
{'cdim': 8, 'counter': 62, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8r', 'multiplicity': 1, 'nt': [24, 1322], 'qdim': 8, 'qvalues': [8, 0, 0, 0, 0, -4, 0, 0, 8, 8, 8, -4, 8, 8, -4, 8, -4, -4, -4, 2, -4, -1, 2, 2, 2, -4, -4, 2, 2, 2, 2, -1, -4, -1, -1, 2, 2, -1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -1, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792902
{'cdim': 8, 'counter': 63, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8s', 'multiplicity': 1, 'nt': [24, 2905], 'qdim': 8, 'qvalues': [8, -4, 0, 0, 0, 0, 0, 0, 8, 8, 2, -4, -4, -4, 8, 2, -4, -4, -4, 2, 2, 2, -1, -4, 5, 2, 2, 2, 2, -4, -1, -1, -1, 5, -4, -1, -1, -1, 2, 0, 0, 2, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -4, 2, 0, 2, -1, 2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792903
{'cdim': 8, 'counter': 64, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8t', 'multiplicity': 1, 'nt': [24, 2905], 'qdim': 8, 'qvalues': [8, -4, 0, 0, 0, 0, 0, 0, 8, 8, 2, -4, -4, -4, 8, 2, -4, -4, -4, 2, 2, 2, -1, 5, -4, 2, 2, 2, 2, -4, -1, -1, -1, -4, 5, -1, -1, -1, 2, 0, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, -1, -1, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792904
{'cdim': 8, 'counter': 65, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8u', 'multiplicity': 1, 'nt': [24, 2905], 'qdim': 8, 'qvalues': [8, 0, -4, 0, 0, 0, 0, 0, 8, 8, -4, 2, 8, -4, -4, -4, 2, 2, -4, -4, 2, 2, -4, 2, 2, -1, 2, -4, 5, -1, 2, -1, -1, -1, -1, 5, -4, 2, -1, 0, 0, 0, 0, -4, -4, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792905
{'cdim': 8, 'counter': 66, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.8v', 'multiplicity': 1, 'nt': [24, 2905], 'qdim': 8, 'qvalues': [8, 0, -4, 0, 0, 0, 0, 0, 8, 8, -4, 2, 8, -4, -4, -4, 2, 2, -4, -4, 2, 2, -4, 2, 2, -1, 2, 5, -4, -1, 2, -1, -1, -1, -1, -4, 5, 2, -1, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792906
{'cdim': 16, 'counter': 67, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.16a', 'multiplicity': 1, 'nt': [24, 2931], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 0, 0, 0, 0, 16, 16, -8, -8, -8, 16, -8, -8, -8, -8, 4, 4, 4, -2, -2, -2, -2, -8, 4, 4, 4, 4, 4, -2, 4, 1, 1, -2, -2, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792907
{'cdim': 16, 'counter': 68, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.16b', 'multiplicity': 1, 'nt': [24, 2931], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 0, 0, 0, 0, 16, 16, -8, -8, -8, 16, -8, -8, -8, 4, 4, -8, -2, 4, 4, 4, 4, 4, 4, -2, -2, -2, -8, 4, -2, -2, -2, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792908
{'cdim': 16, 'counter': 69, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.16c', 'multiplicity': 1, 'nt': [24, 2934], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 0, 0, 0, 0, 16, 16, -8, 4, 16, -8, -8, -8, 4, -8, -8, 4, -8, -2, 4, -2, -2, 4, 4, -2, -2, 4, -2, 1, 4, 1, 1, -2, -2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792910
{'cdim': 16, 'counter': 70, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.16d', 'multiplicity': 1, 'nt': [24, 2934], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 0, 0, 0, 0, 16, 16, 4, -8, -8, -8, 16, 4, -8, 4, -8, -8, -2, -8, 4, -2, -2, -2, 4, -2, -2, 4, 4, 4, 1, -2, -2, 1, 1, 4, -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], 'schur_index': 1}
id: 15792911
{'cdim': 16, 'counter': 71, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.16e', 'multiplicity': 1, 'nt': [24, 7325], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 0, 0, 0, 0, 16, 16, 4, 4, -8, -8, -8, 4, 4, -8, 4, 4, 4, -2, -2, -8, 10, 4, -2, -2, -2, 4, -2, 1, -2, -5, 4, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792912
{'cdim': 16, 'counter': 72, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.16f', 'multiplicity': 1, 'nt': [24, 7325], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 0, 0, 0, 0, 16, 16, 4, 4, -8, -8, -8, 4, 4, -8, 4, 4, 4, -2, -2, 10, -8, 4, -2, -2, -2, 4, -2, 1, -2, 4, -5, 1, 1, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792913
{'cdim': 16, 'counter': 73, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.16g', 'multiplicity': 1, 'nt': [24, 7325], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 0, 0, 0, 0, 16, 16, 4, 4, -8, -8, -8, 4, 4, 4, 4, -8, -2, 4, 4, -2, -2, -2, -2, -8, 10, -2, 4, -2, 1, 1, 1, -5, 4, -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], 'schur_index': 1}
id: 15792914
{'cdim': 16, 'counter': 74, 'faithful': False, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.16h', 'multiplicity': 1, 'nt': [24, 7325], 'qdim': 16, 'qvalues': [16, 0, 0, 0, 0, 0, 0, 0, 16, 16, 4, 4, -8, -8, -8, 4, 4, 4, 4, -8, -2, 4, 4, -2, -2, -2, -2, 10, -8, -2, 4, -2, 1, 1, 1, 4, -5, -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], 'schur_index': 1}
id: 15792915
{'cdim': 36, 'counter': 75, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.36a', 'multiplicity': 1, 'nt': [54, 0], 'qdim': 36, 'qvalues': [36, 0, 6, 0, 6, 0, 4, 0, -18, 9, 0, 18, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, -3, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792916
{'cdim': 36, 'counter': 76, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.36b', 'multiplicity': 1, 'nt': [54, 0], 'qdim': 36, 'qvalues': [36, 6, 0, 0, 0, 6, 4, 0, 9, -18, 18, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792917
{'cdim': 36, 'counter': 77, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.36c', 'multiplicity': 1, 'nt': [108, 0], 'qdim': 36, 'qvalues': [36, -6, 0, 0, 0, -6, 4, 0, 9, -18, 18, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792918
{'cdim': 36, 'counter': 78, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.36d', 'multiplicity': 1, 'nt': [108, 0], 'qdim': 36, 'qvalues': [36, -6, 0, 0, 0, 6, -4, 0, 9, -18, 18, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792919
{'cdim': 36, 'counter': 79, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.36e', 'multiplicity': 1, 'nt': [108, 0], 'qdim': 36, 'qvalues': [36, 0, -6, 0, -6, 0, 4, 0, -18, 9, 0, 18, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792921
{'cdim': 36, 'counter': 80, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.36f', 'multiplicity': 1, 'nt': [108, 0], 'qdim': 36, 'qvalues': [36, 0, -6, 0, 6, 0, -4, 0, -18, 9, 0, 18, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 3, 0, 0, 0, 0, 3, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792922
{'cdim': 36, 'counter': 81, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.36g', 'multiplicity': 1, 'nt': [108, 0], 'qdim': 36, 'qvalues': [36, 0, 6, 0, -6, 0, -4, 0, -18, 9, 0, 18, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, -3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792923
{'cdim': 36, 'counter': 82, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.36h', 'multiplicity': 1, 'nt': [108, 0], 'qdim': 36, 'qvalues': [36, 6, 0, 0, 0, -6, -4, 0, 9, -18, 18, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, -3, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792924
{'cdim': 72, 'counter': 83, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.72a', 'multiplicity': 1, 'nt': [108, 0], 'qdim': 72, 'qvalues': [72, 0, 12, 0, 0, 0, 0, 0, -36, 18, 0, -18, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792925
{'cdim': 72, 'counter': 84, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.72b', 'multiplicity': 1, 'nt': [108, 0], 'qdim': 72, 'qvalues': [72, 12, 0, 0, 0, 0, 0, 0, 18, -36, -18, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792926
{'cdim': 72, 'counter': 85, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.72c', 'multiplicity': 1, 'nt': [216, 0], 'qdim': 72, 'qvalues': [72, -12, 0, 0, 0, 0, 0, 0, 18, -36, -18, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
id: 15792927
{'cdim': 72, 'counter': 86, 'faithful': True, 'group': '34992.ns', 'group_order': 34992, 'image': None, 'label': '34992.ns.72d', 'multiplicity': 1, 'nt': [216, 0], 'qdim': 72, 'qvalues': [72, 0, -12, 0, 0, 0, 0, 0, -36, 18, 0, -18, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}

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

gps_char • Show schema

id: 35771212
{'center': '1.a1', 'center_index': 1, 'center_order': 34992, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 34992, 'label': '34992.ns.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]]]}
id: 35771223
{'center': '1.a1', 'center_index': 1, 'center_order': 34992, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 17496, 'label': '34992.ns.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]]]}
id: 35771234
{'center': '1.a1', 'center_index': 1, 'center_order': 34992, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 17496, 'label': '34992.ns.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
id: 35771245
{'center': '1.a1', 'center_index': 1, 'center_order': 34992, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 17496, 'label': '34992.ns.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
id: 35771256
{'center': '1.a1', 'center_index': 1, 'center_order': 34992, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 17496, 'label': '34992.ns.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
id: 35771267
{'center': '1.a1', 'center_index': 1, 'center_order': 34992, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 17496, 'label': '34992.ns.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
id: 35771278
{'center': '1.a1', 'center_index': 1, 'center_order': 34992, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 17496, 'label': '34992.ns.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
id: 35771289
{'center': '1.a1', 'center_index': 1, 'center_order': 34992, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 17496, 'label': '34992.ns.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
id: 35771298
{'center': '6.a1', 'center_index': 6, 'center_order': 5832, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 5832, 'label': '34992.ns.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]]]}
id: 35771213
{'center': '6.a1', 'center_index': 6, 'center_order': 5832, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 5832, 'label': '34992.ns.2b', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]]]}
id: 35771214
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id: 35771215
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id: 35771216
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id: 35771217
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id: 35771218
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id: 35771219
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id: 35771220
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id: 35771221
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id: 35771222
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id: 35771224
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id: 35771225
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id: 35771226
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id: 35771227
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id: 35771228
{'center': '36.a1', 'center_index': 36, 'center_order': 972, 'counter': 24, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '36.10', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1', 'kernel_order': 972, 'label': '34992.ns.4b', 'nt': [6, 9], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 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]]]}
id: 35771229
{'center': '36.a1', 'center_index': 36, 'center_order': 972, 'counter': 25, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '36.10', 'image_order': 36, 'indicator': 1, 'kernel': '36.a1', 'kernel_order': 972, 'label': '34992.ns.4c', 'nt': [6, 9], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771230
{'center': '72.c1', 'center_index': 72, 'center_order': 486, 'counter': 26, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '72.40', 'image_order': 72, 'indicator': 1, 'kernel': '72.c1', 'kernel_order': 486, 'label': '34992.ns.4d', 'nt': [6, 13], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771231
{'center': '72.c1', 'center_index': 72, 'center_order': 486, 'counter': 27, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '72.40', 'image_order': 72, 'indicator': 1, 'kernel': '72.c1', 'kernel_order': 486, 'label': '34992.ns.4e', 'nt': [6, 13], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771232
{'center': '24.b1', 'center_index': 24, 'center_order': 1458, 'counter': 28, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.b1', 'kernel_order': 729, 'label': '34992.ns.4f', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 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]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771233
{'center': '24.a1', 'center_index': 24, 'center_order': 1458, 'counter': 29, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1', 'kernel_order': 729, 'label': '34992.ns.4g', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 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]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
id: 35771235
{'center': '24.a1', 'center_index': 24, 'center_order': 1458, 'counter': 30, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '48.38', 'image_order': 48, 'indicator': 1, 'kernel': '48.a1', 'kernel_order': 729, 'label': '34992.ns.4h', 'nt': [12, 28], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]]]}
id: 35771236
{'center': '72.c1', 'center_index': 72, 'center_order': 486, 'counter': 31, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '72.40', 'image_order': 72, 'indicator': 1, 'kernel': '72.c1', 'kernel_order': 486, 'label': '34992.ns.4i', 'nt': [12, 34], 'q_character': None, 'values': [[[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771237
{'center': '72.c1', 'center_index': 72, 'center_order': 486, 'counter': 32, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '72.40', 'image_order': 72, 'indicator': 1, 'kernel': '72.c1', 'kernel_order': 486, 'label': '34992.ns.4j', 'nt': [12, 34], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771238
{'center': '36.a1', 'center_index': 36, 'center_order': 972, 'counter': 33, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '72.46', 'image_order': 72, 'indicator': 1, 'kernel': '72.a1', 'kernel_order': 486, 'label': '34992.ns.4k', 'nt': [12, 37], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771239
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id: 35771240
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id: 35771241
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id: 35771242
{'center': '72.c1', 'center_index': 72, 'center_order': 486, 'counter': 37, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '144.186', 'image_order': 144, 'indicator': 1, 'kernel': '144.a1', 'kernel_order': 243, 'label': '34992.ns.4o', 'nt': [12, 77], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771243
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id: 35771244
{'center': '72.c1', 'center_index': 72, 'center_order': 486, 'counter': 39, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '144.186', 'image_order': 144, 'indicator': 1, 'kernel': '144.a1', 'kernel_order': 243, 'label': '34992.ns.4q', 'nt': [12, 77], 'q_character': None, 'values': [[[4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771246
{'center': '72.a1', 'center_index': 72, 'center_order': 486, 'counter': 40, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '144.154', 'image_order': 144, 'indicator': 1, 'kernel': '144.b1', 'kernel_order': 243, 'label': '34992.ns.4r', 'nt': [12, 81], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771247
{'center': '72.a1', 'center_index': 72, 'center_order': 486, 'counter': 41, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '144.154', 'image_order': 144, 'indicator': 1, 'kernel': '144.b1', 'kernel_order': 243, 'label': '34992.ns.4s', 'nt': [12, 81], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771248
{'center': '72.a1', 'center_index': 72, 'center_order': 486, 'counter': 42, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '144.154', 'image_order': 144, 'indicator': 1, 'kernel': '144.b1', 'kernel_order': 243, 'label': '34992.ns.4t', 'nt': [12, 81], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771249
{'center': '72.a1', 'center_index': 72, 'center_order': 486, 'counter': 43, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '144.154', 'image_order': 144, 'indicator': 1, 'kernel': '144.b1', 'kernel_order': 243, 'label': '34992.ns.4u', 'nt': [12, 81], 'q_character': None, 'values': [[[4, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771250
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id: 35771251
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id: 35771252
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id: 35771253
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id: 35771254
{'center': '432.a1', 'center_index': 432, 'center_order': 81, 'counter': 48, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '432.741', 'image_order': 432, 'indicator': 1, 'kernel': '432.a1', 'kernel_order': 81, 'label': '34992.ns.8c', 'nt': [12, 156], 'q_character': None, 'values': [[[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771255
{'center': '432.b1', 'center_index': 432, 'center_order': 81, 'counter': 49, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '432.741', 'image_order': 432, 'indicator': 1, 'kernel': '432.b1', 'kernel_order': 81, 'label': '34992.ns.8d', 'nt': [12, 156], 'q_character': None, 'values': [[[8, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[8, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 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]]]}
id: 35771257
{'center': '432.a1', 'center_index': 432, 'center_order': 81, 'counter': 50, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '432.741', 'image_order': 432, 'indicator': 1, 'kernel': '432.a1', 'kernel_order': 81, 'label': '34992.ns.8e', 'nt': [12, 156], 'q_character': None, 'values': [[[8, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771258
{'center': '432.b1', 'center_index': 432, 'center_order': 81, 'counter': 51, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '432.741', 'image_order': 432, 'indicator': 1, 'kernel': '432.b1', 'kernel_order': 81, 'label': '34992.ns.8f', 'nt': [12, 156], 'q_character': None, 'values': [[[8, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[8, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771259
{'center': '432.a1', 'center_index': 432, 'center_order': 81, 'counter': 52, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '432.741', 'image_order': 432, 'indicator': 1, 'kernel': '432.a1', 'kernel_order': 81, 'label': '34992.ns.8g', 'nt': [12, 156], 'q_character': None, 'values': [[[8, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771260
{'center': '1296.a1', 'center_index': 1296, 'center_order': 27, 'counter': 53, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3528', 'image_order': 1296, 'indicator': 1, 'kernel': '1296.a1', 'kernel_order': 27, 'label': '34992.ns.8h', 'nt': [12, 217], 'q_character': None, 'values': [[[8, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[2, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-4, 0]], [[5, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[-4, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771261
{'center': '1296.a1', 'center_index': 1296, 'center_order': 27, 'counter': 54, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3528', 'image_order': 1296, 'indicator': 1, 'kernel': '1296.a1', 'kernel_order': 27, 'label': '34992.ns.8i', 'nt': [12, 217], 'q_character': None, 'values': [[[8, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[-4, 0]], [[2, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[5, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[5, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771262
{'center': '1296.a1', 'center_index': 1296, 'center_order': 27, 'counter': 55, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3528', 'image_order': 1296, 'indicator': 1, 'kernel': '1296.a1', 'kernel_order': 27, 'label': '34992.ns.8j', 'nt': [12, 217], 'q_character': None, 'values': [[[8, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[8, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-4, 0]], [[5, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[5, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771263
{'center': '1296.a1', 'center_index': 1296, 'center_order': 27, 'counter': 56, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '1296.3528', 'image_order': 1296, 'indicator': 1, 'kernel': '1296.a1', 'kernel_order': 27, 'label': '34992.ns.8k', 'nt': [12, 217], 'q_character': None, 'values': [[[8, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[8, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[5, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-4, 0]], [[5, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 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]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771264
{'center': '216.a1', 'center_index': 216, 'center_order': 162, 'counter': 57, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '432.601', 'image_order': 432, 'indicator': 1, 'kernel': '432.c1', 'kernel_order': 81, 'label': '34992.ns.8l', 'nt': [24, 1294], 'q_character': None, 'values': [[[8, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[8, 0]], [[2, 0]], [[8, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-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]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771265
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id: 35771266
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id: 35771268
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id: 35771269
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id: 35771270
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id: 35771271
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id: 35771272
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id: 35771273
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id: 35771274
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id: 35771275
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id: 35771276
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id: 35771277
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id: 35771279
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id: 35771280
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id: 35771281
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id: 35771282
{'center': '3888.a1', 'center_index': 3888, 'center_order': 9, 'counter': 73, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '3888.dy', 'image_order': 3888, 'indicator': 1, 'kernel': '3888.a1', 'kernel_order': 9, 'label': '34992.ns.16f', 'nt': [24, 7325], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[16, 0]], [[16, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[10, 0]], [[-8, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[4, 0]], [[-5, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771283
{'center': '3888.a1', 'center_index': 3888, 'center_order': 9, 'counter': 74, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '3888.dy', 'image_order': 3888, 'indicator': 1, 'kernel': '3888.a1', 'kernel_order': 9, 'label': '34992.ns.16g', 'nt': [24, 7325], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[16, 0]], [[16, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-8, 0]], [[10, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-5, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 35771284
{'center': '3888.a1', 'center_index': 3888, 'center_order': 9, 'counter': 75, 'cyclotomic_n': 1, 'dim': 16, 'faithful': False, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '3888.dy', 'image_order': 3888, 'indicator': 1, 'kernel': '3888.a1', 'kernel_order': 9, 'label': '34992.ns.16h', 'nt': [24, 7325], 'q_character': None, 'values': [[[16, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[16, 0]], [[16, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-8, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[10, 0]], [[-8, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[4, 0]], [[-5, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 35771285
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 76, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.36a', 'nt': [54, 0], 'q_character': None, 'values': [[[36, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-18, 0]], [[9, 0]], [[0, 0]], [[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771286
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 77, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.36b', 'nt': [54, 0], 'q_character': None, 'values': [[[36, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[4, 0]], [[0, 0]], [[9, 0]], [[-18, 0]], [[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771287
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 78, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.36c', 'nt': [108, 0], 'q_character': None, 'values': [[[36, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[4, 0]], [[0, 0]], [[9, 0]], [[-18, 0]], [[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771288
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 79, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.36d', 'nt': [108, 0], 'q_character': None, 'values': [[[36, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-4, 0]], [[0, 0]], [[9, 0]], [[-18, 0]], [[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771290
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 80, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.36e', 'nt': [108, 0], 'q_character': None, 'values': [[[36, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[-18, 0]], [[9, 0]], [[0, 0]], [[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771291
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id: 35771292
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 82, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.36g', 'nt': [108, 0], 'q_character': None, 'values': [[[36, 0]], [[0, 0]], [[6, 0]], [[0, 0]], [[-6, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[-18, 0]], [[9, 0]], [[0, 0]], [[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771293
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 83, 'cyclotomic_n': 1, 'dim': 36, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.36h', 'nt': [108, 0], 'q_character': None, 'values': [[[36, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-4, 0]], [[0, 0]], [[9, 0]], [[-18, 0]], [[18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
id: 35771294
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 84, 'cyclotomic_n': 1, 'dim': 72, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.72a', 'nt': [108, 0], 'q_character': None, 'values': [[[72, 0]], [[0, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-36, 0]], [[18, 0]], [[0, 0]], [[-18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 35771295
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 85, 'cyclotomic_n': 1, 'dim': 72, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.72b', 'nt': [108, 0], 'q_character': None, 'values': [[[72, 0]], [[12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[18, 0]], [[-36, 0]], [[-18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 35771296
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 86, 'cyclotomic_n': 1, 'dim': 72, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.72c', 'nt': [216, 0], 'q_character': None, 'values': [[[72, 0]], [[-12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[18, 0]], [[-36, 0]], [[-18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 35771297
{'center': '34992.a1', 'center_index': 34992, 'center_order': 1, 'counter': 87, 'cyclotomic_n': 1, 'dim': 72, 'faithful': True, 'field': [0, 1], 'group': '34992.ns', 'group_counter': 357, 'group_order': 34992, 'image': None, 'image_isoclass': '34992.ns', 'image_order': 34992, 'indicator': 1, 'kernel': '34992.a1', 'kernel_order': 1, 'label': '34992.ns.72d', 'nt': [216, 0], 'q_character': None, 'values': [[[72, 0]], [[0, 0]], [[-12, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-36, 0]], [[18, 0]], [[0, 0]], [[-18, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[9, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}

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

gps_subgroup_search • Show schema
Showing the first 100 of 2550 matching records in this table.

id: 202752437
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 34992, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '34992.ns.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': ['R', 'L0', 'D0', 'C0', 'R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '34992.ns', 'subgroup_hash': 5395324004515259423, 'subgroup_order': 34992, 'subgroup_tex': '\\He_3^2:(S_3\\times D_4)', 'supersolvable': False, 'sylow': 0}
id: 202753548
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 17496, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '34992.ns.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': None, 'subgroup_hash': 4585208049979328908, 'subgroup_order': 17496, 'subgroup_tex': 'C_3^4.S_3^3', 'supersolvable': True, 'sylow': 0}
id: 202754210
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 17496, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '34992.ns.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': None, 'subgroup_hash': 4445252983832358602, 'subgroup_order': 17496, 'subgroup_tex': 'C_3^4:C_3.C_6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
id: 202754321
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 17496, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '34992.ns.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 509617198205887090, 'subgroup_order': 17496, 'subgroup_tex': 'C_3^4.(C_3\\times D_6:S_3)', 'supersolvable': False, 'sylow': 0}
id: 202754432
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 17496, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '34992.ns.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5277628635019569382, 'subgroup_order': 17496, 'subgroup_tex': 'C_3^5.S_3\\wr C_2', 'supersolvable': False, 'sylow': 0}
id: 202754543
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': True, 'core_order': 17496, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '34992.ns.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': ['C1', 'C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 5972671401312670056, 'subgroup_order': 17496, 'subgroup_tex': 'C_3^5.C_3:S_3.C_2^2', 'supersolvable': False, 'sylow': 0}
id: 202754654
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 5832, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1', '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': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11664.bb', 'subgroup_hash': 5493034888393394034, 'subgroup_order': 11664, 'subgroup_tex': '\\He_3^2:(C_2\\times D_4)', 'supersolvable': False, 'sylow': 0}
id: 202754765
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 5832, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.3.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.b1', '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': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 1419620152408756024, 'subgroup_order': 11664, 'subgroup_tex': 'C_3^3.S_3^3.C_2', 'supersolvable': False, 'sylow': 0}
id: 202754876
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 8748, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '34992.ns.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': True, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': 7637658096183810432, 'subgroup_order': 8748, 'subgroup_tex': 'C_3^4:C_3.C_6^2', 'supersolvable': True, 'sylow': 0}
id: 202752438
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id: 202752549
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id: 202752660
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id: 202752771
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id: 202752882
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id: 202752993
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id: 202753104
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id: 202753215
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id: 202753326
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id: 202753437
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id: 202753549
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id: 202753660
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id: 202753771
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id: 202753882
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id: 202753993
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id: 202754104
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id: 202754166
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id: 202754177
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id: 202754188
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id: 202754199
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id: 202754211
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id: 202754222
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id: 202754233
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id: 202754244
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id: 202754255
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id: 202754266
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id: 202754277
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id: 202754288
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id: 202754299
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id: 202754310
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id: 202754322
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id: 202754333
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id: 202754344
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id: 202754355
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id: 202754366
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id: 202754377
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id: 202754388
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id: 202754399
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id: 202754410
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id: 202754421
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id: 202754433
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id: 202754444
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id: 202754455
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id: 202754466
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id: 202754477
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id: 202754488
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id: 202754499
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id: 202754510
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id: 202754521
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id: 202754532
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id: 202754544
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id: 202754555
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id: 202754566
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id: 202754577
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id: 202754588
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id: 202754599
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id: 202754610
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id: 202754621
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id: 202754632
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id: 202754643
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id: 202754655
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id: 202754666
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id: 202754677
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id: 202754688
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id: 202754699
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id: 202754710
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id: 202754721
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id: 202754732
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id: 202754743
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id: 202754754
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id: 202754766
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id: 202754777
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id: 202754788
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id: 202754799
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id: 202754810
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id: 202754821
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id: 202754832
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id: 202754843
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id: 202754854
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id: 202754865
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id: 202754877
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id: 202754888
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id: 202754899
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 81, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.18.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2342', 'subgroup_hash': 2342, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^2.S_3^3', 'supersolvable': True, 'sylow': 0}
id: 202754910
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 81, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.18.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2342', 'subgroup_hash': 2342, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^2.S_3^3', 'supersolvable': True, 'sylow': 0}
id: 202754921
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 486, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.18.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2314', 'subgroup_hash': 2314, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^3:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
id: 202754932
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 972, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.18.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2342', 'subgroup_hash': 2342, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^2.S_3^3', 'supersolvable': True, 'sylow': 0}
id: 202754943
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id: 202754954
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 972, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.18.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2319', 'subgroup_hash': 2319, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^3:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
id: 202754965
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 243, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.18.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.3917', 'subgroup_hash': 3917, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^4:D_{12}', 'supersolvable': False, 'sylow': 0}
id: 202754976
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 486, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.18.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.3902', 'subgroup_hash': 3902, 'subgroup_order': 1944, 'subgroup_tex': 'C_3\\wr C_4:S_3', 'supersolvable': False, 'sylow': 0}
id: 202752439
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '34992.ns', 'ambient_counter': 357, 'ambient_order': 34992, 'ambient_tex': '\\He_3^2:(S_3\\times D_4)', 'central': False, 'central_factor': False, 'centralizer_order': 1, 'characteristic': False, 'core_order': 486, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '34992.ns.18.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.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': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1944.2319', 'subgroup_hash': 2319, 'subgroup_order': 1944, 'subgroup_tex': 'C_3^3:\\SOPlus(4,2)', 'supersolvable': False, '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 2550 matching records in this table.

id: 202752437
{'ambient': '34992.ns', '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': '34992.a1', 'complements': ['34992.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '3.a1', '3.b1', '9.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1, 1296, 4, 48, 3888, 6, 72, 432, 144, 11664, 36], 'label': '34992.ns.1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '34992.ns', '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': '34992.ns'}
id: 202752438
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': ['8748.b1', '8748.a1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.b1', '2.d1'], 'contains': ['8.a1', '8.e1', '12.c1', '12.bb1', '12.bd1', '12.be1', '12.bf1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [18, 11664, 144, 18576, 72, 48, 15552, 1296, 4], 'label': '34992.ns.4.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.b1', '2.d1'], 'normal_contains': ['8.a1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '34992.ns', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '34992.ns'}
id: 202752439
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '18.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.k1', '6.l1', '9.c1'], 'contains': ['36.dh1', '36.dj1', '36.dr1', '54.ba1', '162.bb1'], 'core': '72.a1', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13, 1728, 32400, 18, 48, 11664, 27216, 72], 'label': '34992.ns.18.t1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.c1', 'old_label': '18.t1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.t1', 'subgroup_fusion': None, 'weyl_group': '3888.bu'}
id: 202752440
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ia1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dy1', '72.ek1', '72.er1', '72.er2', '72.fj1', '72.fq1', '72.gc1', '72.gh1', '72.gj1', '72.gr1', '72.gs1', '72.gw1', '72.hc2'], 'contains': ['432.du1', '648.hb1', '648.hc1', '648.hh1', '648.hi1', '648.kd1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 31972, 28992], 'label': '34992.ns.216.ia1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ia1', 'old_label': '216.ia1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ia1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752441
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ib1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dy1', '72.ej1', '72.es1', '72.fj1', '72.fp1', '72.gc1', '72.gh1', '72.gk1', '72.gs1', '72.gs2', '72.gu1', '72.hc1'], 'contains': ['432.dv1', '648.hb1', '648.hc1', '648.hh1', '648.ke1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 15988, 28992], 'label': '34992.ns.216.ib1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ib1', 'old_label': '216.ib1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ib1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752442
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ic1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dx1', '72.eb1', '72.er2', '72.et1', '72.fi1', '72.fp1', '72.fv1', '72.gr1', '72.gt1', '72.gu1', '72.gx1', '72.hd1', '72.hd2'], 'contains': ['432.dw1', '648.hb1', '648.hd1', '648.he1', '648.hg1', '648.kf1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 9076, 29088], 'label': '34992.ns.216.ic1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ic1', 'old_label': '216.ic1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ic1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752443
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.id1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dz1', '72.el1', '72.er1', '72.er2', '72.fj1', '72.fp1', '72.gc1', '72.gi1', '72.gk1', '72.gr2', '72.gt2', '72.gx1', '72.hd2'], 'contains': ['432.dx1', '648.hb1', '648.hd1', '648.hh1', '648.hi1', '648.kg1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 3888, 11664, 9076, 28992], 'label': '34992.ns.216.id1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.id1', 'old_label': '216.id1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.id1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752444
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ie1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dz1', '72.ei1', '72.et1', '72.fj1', '72.fq1', '72.gc1', '72.gi1', '72.gj1', '72.gt1', '72.gt2', '72.gv1', '72.hd1'], 'contains': ['432.dy1', '648.hb1', '648.hd1', '648.hi1', '648.kh1', '648.kh2', '648.kh3', '648.kh4'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 28992, 3888, 11664, 6484], 'label': '34992.ns.216.ie1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ie1', 'old_label': '216.ie1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ie1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752445
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.if1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dx1', '72.em1', '72.em2', '72.fi1', '72.fr1', '72.fw1', '72.gs1', '72.gt2', '72.hc1', '72.hc2', '72.hd1', '72.hd2'], 'contains': ['432.dz1', '648.hb1', '648.he1', '648.hg1', '648.ki1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 3888, 11664, 17760, 29088], 'label': '34992.ns.216.if1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.if1', 'old_label': '216.if1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.if1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752446
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ig1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dt1', '72.dw1', '72.fa1', '72.fz1', '72.gh1', '72.gi1', '72.gk1', '72.gu1', '72.gx1', '72.hc1', '72.hc2', '72.hd1'], 'contains': ['432.ea1', '648.hb1', '648.hf1', '648.hg1', '648.hh1', '648.kj1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 28372, 31728], 'label': '34992.ns.216.ig1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ig1', 'old_label': '216.ig1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ig1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752447
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ih1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dt1', '72.dv1', '72.fb1', '72.fz1', '72.gh1', '72.gi1', '72.gj1', '72.gv1', '72.gw1', '72.hc1', '72.hd1', '72.hd2'], 'contains': ['432.eb1', '648.hb1', '648.hf1', '648.hg1', '648.hi1', '648.kk1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 11664, 3888, 20164, 31728], 'label': '34992.ns.216.ih1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ih1', 'old_label': '216.ih1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ih1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752448
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ii1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ec1', '72.em1', '72.er1', '72.er2', '72.fj1', '72.fr1', '72.ga1', '72.gh1', '72.gi1', '72.gs2', '72.gt1', '72.hc1', '72.hd1'], 'contains': ['432.ec1', '648.hb1', '648.hg1', '648.hh1', '648.hi1', '648.kl1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 18436, 31728], 'label': '34992.ns.216.ii1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ii1', 'old_label': '216.ii1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ii1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752449
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ii2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ec1', '72.em2', '72.es1', '72.et1', '72.fj1', '72.fr1', '72.ga2', '72.gh1', '72.gi1', '72.gr1', '72.gr2', '72.hc2', '72.hd2'], 'contains': ['432.ec2', '648.hb1', '648.hg1', '648.hh1', '648.hi1', '648.kl2'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 29380, 28992], 'label': '34992.ns.216.ii2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ii2', 'old_label': '216.ii2', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ii2', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752450
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '18.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.l1', '9.b1'], 'contains': ['36.dk1', '36.ds1', '54.ba1', '162.bc1'], 'core': '72.b1', 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13, 1728, 32400, 18, 144, 11664, 27216, 72], 'label': '34992.ns.18.u1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '18.u1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.u1', 'subgroup_fusion': None, 'weyl_group': '3888.bu'}
id: 202752451
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id: 202752452
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id: 202752453
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id: 202752454
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id: 202752455
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.in1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ee1', '72.ef1', '72.eo1', '72.es1', '72.fm1', '72.fp1', '72.ga1', '72.gf1', '72.gl1', '72.gs1', '72.gw1', '72.gz1', '72.hc2'], 'contains': ['432.eh1', '648.hc1', '648.hg1', '648.hh1', '648.hj1', '648.kq1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 15988, 17040], 'label': '34992.ns.216.in1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.in1', 'old_label': '216.in1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.in1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752456
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.io1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ee1', '72.ef1', '72.en1', '72.er2', '72.fm1', '72.fq1', '72.ga2', '72.ge1', '72.gm1', '72.gs1', '72.gv1', '72.ha1', '72.hc1'], 'contains': ['432.ei1', '648.hc1', '648.hg1', '648.hi1', '648.hj1', '648.kr1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 31972, 17040], 'label': '34992.ns.216.io1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.io1', 'old_label': '216.io1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.io1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752457
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ip1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ef1', '72.ek1', '72.es1', '72.fn1', '72.fq1', '72.gc1', '72.gf1', '72.gm1', '72.gs2', '72.gw1', '72.ha1'], 'contains': ['432.ej1', '648.hc1', '648.hi1', '648.hj1', '648.ks1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 11664, 3888, 31972, 1920], 'label': '34992.ns.216.ip1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ip1', 'old_label': '216.ip1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ip1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752458
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.du1', '72.dw1', '72.ez1', '72.fz1', '72.gl1', '72.gm1', '72.gv1', '72.gx1', '72.gy1', '72.hb1', '72.hd1', '72.hd2'], 'contains': ['432.ek1', '648.hd1', '648.hf1', '648.hg1', '648.hj1', '648.kt1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 6484, 17040], 'label': '34992.ns.216.iq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iq1', 'old_label': '216.iq1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iq1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752459
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ir1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ed1', '72.eg1', '72.ep1', '72.er1', '72.fo1', '72.fp1', '72.ga2', '72.gf1', '72.gl1', '72.gt2', '72.gu1', '72.hb1', '72.hd1'], 'contains': ['432.el1', '648.hd1', '648.hg1', '648.hh1', '648.hj1', '648.ku1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 9076, 31728], 'label': '34992.ns.216.ir1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ir1', 'old_label': '216.ir1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ir1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752460
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.is1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ed1', '72.eg1', '72.eq1', '72.et1', '72.fo1', '72.fq1', '72.ga1', '72.ge1', '72.gm1', '72.gt2', '72.gx1', '72.gy1', '72.hd2'], 'contains': ['432.em1', '648.hd1', '648.hg1', '648.hi1', '648.hj1', '648.kv1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 13396, 33456], 'label': '34992.ns.216.is1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.is1', 'old_label': '216.is1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.is1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752461
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id: 202752462
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.it1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ed1', '72.el1', '72.et1', '72.fl1', '72.fp1', '72.gc1', '72.ge1', '72.gl1', '72.gt1', '72.gx1', '72.hb1'], 'contains': ['432.en1', '648.hd1', '648.hh1', '648.hj1', '648.kw1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 6484, 33456], 'label': '34992.ns.216.it1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.it1', 'old_label': '216.it1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.it1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752463
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.du1', '72.dw1', '72.fa1', '72.fu1', '72.gn1', '72.go1', '72.gu1', '72.gw1', '72.gz1', '72.hb1', '72.hc1', '72.hd2'], 'contains': ['432.eo1', '648.he1', '648.hf1', '648.hh1', '648.hj1', '648.kx1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 11664, 3888, 52, 29088], 'label': '34992.ns.216.iu1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iu1', 'old_label': '216.iu1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iu1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752464
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.du1', '72.dv1', '72.fb1', '72.fu1', '72.gn1', '72.go1', '72.gv1', '72.gx1', '72.gy1', '72.ha1', '72.hc2', '72.hd1'], 'contains': ['432.ep1', '648.he1', '648.hf1', '648.hi1', '648.hj1', '648.ky1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 19060, 29088], 'label': '34992.ns.216.iv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iv1', 'old_label': '216.iv1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iv1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752465
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ek1', '72.em1', '72.ep1', '72.et1', '72.fm1', '72.fp1', '72.fx1', '72.gg1', '72.gn1', '72.go1', '72.gr2', '72.gy1', '72.hc1'], 'contains': ['432.eq1', '648.he1', '648.hh1', '648.hi1', '648.hj1', '648.kz1', '648.kz2', '648.kz3', '648.kz4'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 29088, 3888, 11664, 5236], 'label': '34992.ns.216.iw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iw1', 'old_label': '216.iw1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iw1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752466
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.el1', '72.em1', '72.en1', '72.es1', '72.fo1', '72.fq1', '72.fx1', '72.gg1', '72.gn1', '72.go1', '72.gr1', '72.gz1', '72.hd1'], 'contains': ['432.eq2', '648.he1', '648.hh1', '648.hi1', '648.hj1', '648.kz5'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 3888, 11664, 13876, 29088], 'label': '34992.ns.216.iw2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iw2', 'old_label': '216.iw2', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iw2', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752467
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ix1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ej1', '72.em2', '72.eo1', '72.er2', '72.fo1', '72.fp1', '72.fx1', '72.gg1', '72.go1', '72.gs2', '72.hb1', '72.hc2'], 'contains': ['432.er1', '648.he1', '648.hh1', '648.hj1', '648.la1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 26404, 29088], 'label': '34992.ns.216.ix1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ix1', 'old_label': '216.ix1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ix1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752468
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ix2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.eo1', '72.ep1', '72.er1', '72.es1', '72.fl1', '72.fr1', '72.fx1', '72.gg1', '72.go1', '72.gs1', '72.gu1', '72.gx1'], 'contains': ['432.er2', '648.he1', '648.hh1', '648.hj1', '648.la2'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 11664, 3888, 10420, 29088], 'label': '34992.ns.216.ix2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ix2', 'old_label': '216.ix2', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ix2', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752469
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ei1', '72.em2', '72.eq1', '72.er1', '72.fm1', '72.fq1', '72.fx1', '72.gg1', '72.gn1', '72.gt1', '72.ha1', '72.hd2'], 'contains': ['432.es1', '648.he1', '648.hi1', '648.hj1', '648.lb1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 27700, 29088], 'label': '34992.ns.216.iy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iy1', 'old_label': '216.iy1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iy1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752470
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iy2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.en1', '72.eq1', '72.er2', '72.et1', '72.fn1', '72.fr1', '72.fx1', '72.gg1', '72.gn1', '72.gt2', '72.gv1', '72.gw1'], 'contains': ['432.es2', '648.he1', '648.hi1', '648.hj1', '648.lb2'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 20356, 29088], 'label': '34992.ns.216.iy2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iy2', 'old_label': '216.iy2', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iy2', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752471
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ee1', '72.eg1', '72.em2', '72.eo1', '72.fo1', '72.fr1', '72.gb1', '72.gf1', '72.gl1', '72.gr1', '72.gx1', '72.hc1'], 'contains': ['432.et1', '648.hg1', '648.hh1', '648.hj1', '648.lc1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 26788, 17040], 'label': '34992.ns.216.iz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iz1', 'old_label': '216.iz1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iz1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752472
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '18.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.m1', '6.o1', '9.b1'], 'contains': ['36.b1', '36.dn1', '36.ds1', '54.bb1', '162.be1'], 'core': '36.b1', 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1, 3024, 1296, 36, 144, 11664, 15552, 72], 'label': '34992.ns.18.w1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '18.w1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.w1', 'subgroup_fusion': None, 'weyl_group': '3888.bu'}
id: 202752473
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.iz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ee1', '72.em1', '72.ep1', '72.fo1', '72.fr1', '72.gb1', '72.ge1', '72.gl1', '72.gs2', '72.gu1', '72.hc2', '72.hd2'], 'contains': ['432.et2', '648.hg1', '648.hh1', '648.hj1', '648.lc2', '648.lc3', '648.lc4', '648.lc5'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 17040, 3888, 11664, 22468], 'label': '34992.ns.216.iz2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.iz2', 'old_label': '216.iz2', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.iz2', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752474
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ja1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ee1', '72.eg1', '72.em2', '72.eq1', '72.fm1', '72.fr1', '72.gb1', '72.ge1', '72.gm1', '72.gr2', '72.gw1', '72.hd1'], 'contains': ['432.eu1', '648.hg1', '648.hi1', '648.hj1', '648.ld1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 27216, 11664, 13396, 17040], 'label': '34992.ns.216.ja1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ja1', 'old_label': '216.ja1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ja1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752475
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ja2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.eg1', '72.em1', '72.en1', '72.fm1', '72.fr1', '72.gb1', '72.gf1', '72.gm1', '72.gt1', '72.gv1', '72.hc2', '72.hd2'], 'contains': ['432.eu2', '648.hg1', '648.hi1', '648.hj1', '648.ld2'], 'core': '3888.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [121, 15552, 11664, 26788, 31728], 'label': '34992.ns.216.ja2', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.ja2', 'old_label': '216.ja2', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ja2', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752476
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ds1', '108.w1', '108.cn1', '108.eg1'], 'contains': ['432.h1', '648.hr1', '648.ht1', '648.hw1', '648.ih1', '648.in1', '648.jd1', '648.ju1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [121, 27216, 292, 192, 18576], 'label': '34992.ns.216.jb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.k1', 'old_label': '216.jb1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jb1', 'subgroup_fusion': None, 'weyl_group': '216.162'}
id: 202752477
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dv1', '108.co1'], 'contains': ['432.i1', '648.hr1', '648.hy1', '648.ie1', '648.ik1', '648.im1', '648.io1', '648.kk1', '648.kp1', '648.ky1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [121, 11664, 31972, 48, 20016], 'label': '34992.ns.216.jc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.k1', 'old_label': '216.jc1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jc1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752478
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.dz1', '108.cp1'], 'contains': ['432.k1', '648.ht1', '648.hx1', '648.ia1', '648.ix1', '648.jf1', '648.jv1', '648.jw1', '648.kg1', '648.kh1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [121, 27216, 32692, 192, 18576], 'label': '34992.ns.216.jd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.n1', 'old_label': '216.jd1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jd1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752479
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.je1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ea1', '108.cq1'], 'contains': ['432.l1', '648.hs1', '648.hv1', '648.hy1', '648.iy1', '648.ja1', '648.jc1', '648.jo1', '648.js1', '648.kc1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [121, 15552, 5232, 20880, 18576], 'label': '34992.ns.216.je1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.o1', 'old_label': '216.je1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.je1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752480
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ee1'], 'contains': ['432.m1', '648.hu1', '648.ib1', '648.id1', '648.ie1', '648.ja2', '648.jg1', '648.jh1', '648.kq1', '648.kr1', '648.lc1', '648.lc2', '648.lc3', '648.ld1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [121, 3888, 4, 17040, 18576], 'label': '34992.ns.216.jf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.ee1', 'old_label': '216.jf1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jf1', 'subgroup_fusion': None, 'weyl_group': '54.14'}
id: 202752481
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.eh1', '108.c1', '108.cr1', '108.fe1'], 'contains': ['432.n1', '648.hs1', '648.ht1', '648.hu1', '648.iz1', '648.ja3', '648.jb1', '648.ji1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [121, 27216, 192, 12096, 9072], 'label': '34992.ns.216.jg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.e1', 'old_label': '216.jg1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jg1', 'subgroup_fusion': None, 'weyl_group': '216.162'}
id: 202752482
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ei1', '108.cs1'], 'contains': ['432.o1', '648.hx1', '648.hy1', '648.ic1', '648.jn1', '648.jr1', '648.jx1', '648.kh2', '648.ko1', '648.lb1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [121, 11664, 31972, 10416, 20016], 'label': '34992.ns.216.jh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.s1', 'old_label': '216.jh1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jh1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752483
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '18.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.n1', '6.o1'], 'contains': ['36.do1', '36.dt1', '36.du1', '54.bb1', '162.bf1'], 'core': '216.a1', 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1, 3024, 1296, 36, 340, 11664, 15552, 72], 'label': '34992.ns.18.x1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.x1', 'old_label': '18.x1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.x1', 'subgroup_fusion': None, 'weyl_group': '1944.2310'}
id: 202752484
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ji1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ej1', '108.d1'], 'contains': ['432.p1', '648.hw1', '648.hz1', '648.ib1', '648.jn2', '648.js2', '648.jv2', '648.ke1', '648.kn1', '648.la1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [121, 3888, 4, 5232, 20016], 'label': '34992.ns.216.ji1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.t1', 'old_label': '216.ji1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ji1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752485
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ek1', '108.ct1'], 'contains': ['432.q1', '648.hx1', '648.hy1', '648.ib1', '648.jn4', '648.jq1', '648.js3', '648.kd1', '648.ks1', '648.kz1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [121, 11664, 31972, 5232, 20016], 'label': '34992.ns.216.jj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.u1', 'old_label': '216.jj1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jj1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752486
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.em1'], 'contains': ['432.r1', '648.hv1', '648.ia1', '648.id1', '648.ie1', '648.jn3', '648.jz1', '648.ka1', '648.ki1', '648.kl1', '648.kz2', '648.kz5', '648.lc4', '648.ld2'], 'core': '34992.a1', 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [121, 3888, 4, 17760, 29088], 'label': '34992.ns.216.jk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.em1', 'old_label': '216.jk1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jk1', 'subgroup_fusion': None, 'weyl_group': '54.14'}
id: 202752487
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ep1'], 'contains': ['432.s1', '648.hv1', '648.hw1', '648.ic1', '648.id1', '648.jt1', '648.jv3', '648.jy1', '648.jy2', '648.kb1', '648.ku1', '648.kz3', '648.la2', '648.lc5'], 'core': '34992.a1', 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [121, 11664, 26788, 23808, 29088], 'label': '34992.ns.216.jl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.ep1', 'old_label': '216.jl1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jl1', 'subgroup_fusion': None, 'weyl_group': '54.14'}
id: 202752488
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.et1'], 'contains': ['432.t1', '648.hz1', '648.ia1', '648.ic1', '648.ie1', '648.kf1', '648.kh3', '648.kh4', '648.kl2', '648.km1', '648.kv1', '648.kw1', '648.kz4', '648.lb2'], 'core': '34992.a1', 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [121, 3888, 4, 28992, 20016], 'label': '34992.ns.216.jm1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.et1', 'old_label': '216.jm1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jm1', 'subgroup_fusion': None, 'weyl_group': '54.14'}
id: 202752489
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1944.bc1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ev1', '108.a1', '108.cu1', '108.eh1'], 'contains': ['432.u1', '648.hl1', '648.hn1', '648.hs1', '648.hz1', '648.if1', '648.ii1', '648.il1', '648.ir1', '648.iu1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [121, 15552, 48, 144, 18576], 'label': '34992.ns.216.jn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.a1', 'old_label': '216.jn1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jn1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752490
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ew1', '108.cv1'], 'contains': ['432.v1', '648.hm1', '648.ho1', '648.hx1', '648.id1', '648.if1', '648.ij1', '648.ip1', '648.it1', '648.iv1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [121, 3888, 4, 23808, 144], 'label': '34992.ns.216.jo1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.y1', 'old_label': '216.jo1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jo1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752491
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.ez1', '108.ei1'], 'contains': ['432.w1', '648.hl2', '648.ho2', '648.hu1', '648.ic1', '648.ig1', '648.iw1', '648.je1', '648.jl1', '648.kt1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [121, 3888, 4, 192, 18576], 'label': '34992.ns.216.jp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.de1', 'old_label': '216.jp1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jp1', 'subgroup_fusion': None, 'weyl_group': '108.39'}
id: 202752492
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.fa1'], 'contains': ['432.x1', '648.hm2', '648.hn2', '648.ho3', '648.hv1', '648.ia1', '648.ib1', '648.ig1', '648.jj1', '648.jk1', '648.jm1', '648.jp1', '648.kj1', '648.kx1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 144, 'diagramx': None, 'generators': [121, 3888, 4, 28992, 29088], 'label': '34992.ns.216.jq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '72.fa1', 'old_label': '216.jq1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jq1', 'subgroup_fusion': None, 'weyl_group': '54.14'}
id: 202752493
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.fc1', '108.e1', '108.cw1', '108.du1'], 'contains': ['432.y1', '648.hk1', '648.hk2', '648.hp1', '648.hq1', '648.hr1', '648.if1', '648.ig1', '648.iq1', '648.is1', '648.le1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [121, 144, 27216, 4, 48], 'label': '34992.ns.216.jr1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '216.jr1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jr1', 'subgroup_fusion': None, 'weyl_group': '216.171'}
id: 202752494
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '12.a1', '12.c1', '12.d1', '12.k1', '12.be1', '12.bh1', '12.bl1'], 'contains': ['48.a1', '72.a1', '72.b1', '72.bv1', '72.bw1', '72.cb1'], 'core': '24.a1', 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [72, 3888, 1296, 48, 11664, 144, 432], 'label': '34992.ns.24.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1', '12.c1', '12.d1'], 'normal_contains': ['48.a1', '72.a1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '34992.ns'}
id: 202752495
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.js1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '11664.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.he1', '108.s1', '108.ce1', '108.fe1'], 'contains': ['432.n1', '648.lf1', '648.lh1', '648.li1', '648.lj1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 108, 'diagramx': None, 'generators': [1, 3888, 432, 1296, 4], 'label': '34992.ns.216.js1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.i1', 'old_label': '216.js1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.js1', 'subgroup_fusion': None, 'weyl_group': '216.102'}
id: 202752496
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '11664.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.he1', '108.cf1'], 'contains': ['432.be1', '648.lf1', '648.ln1', '648.lo1', '648.lp1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 216, 'diagramx': None, 'generators': [1, 3888, 432, 1296, 11668], 'label': '34992.ns.216.jt1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.cf1', 'old_label': '216.jt1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jt1', 'subgroup_fusion': None, 'weyl_group': '108.17'}
id: 202752497
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ju1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3888.bl1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.he1', '72.hf1', '72.hg1', '72.hh1', '72.hi1', '108.cg1', '108.fg1'], 'contains': ['432.c1', '648.lf1', '648.lt1'], 'core': '432.c1', 'coset_action_label': None, 'count': 27, 'diagramx': None, 'generators': [1, 11664, 432, 1296, 3888], 'label': '34992.ns.216.ju1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.c1', 'old_label': '216.ju1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ju1', 'subgroup_fusion': None, 'weyl_group': '144.186'}
id: 202752498
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hn1', '108.cx1'], 'contains': ['432.d1', '648.lg1', '648.ll1', '648.lm1', '648.ln1', '648.lu1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 216, 'diagramx': None, 'generators': [1, 3888, 432, 11668, 144], 'label': '34992.ns.216.jv1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.cx1', 'old_label': '216.jv1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jv1', 'subgroup_fusion': None, 'weyl_group': '324.121'}
id: 202752499
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hp1'], 'contains': ['432.f1', '648.lg2', '648.lp1', '648.lq1', '648.ls1', '648.lw1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 432, 'diagramx': None, 'generators': [1, 27216, 1296, 4, 11856], 'label': '34992.ns.216.jw1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '216.jw1', 'old_label': '216.jw1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jw1', 'subgroup_fusion': None, 'weyl_group': '162.40'}
id: 202752500
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hk1', '108.x1', '108.cy1', '108.eg1'], 'contains': ['432.h1', '648.li1', '648.lk1', '648.lr1', '648.lz1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 108, 'diagramx': None, 'generators': [1, 3888, 1296, 4, 48], 'label': '34992.ns.216.jx1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.n1', 'old_label': '216.jx1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jx1', 'subgroup_fusion': None, 'weyl_group': '648.555'}
id: 202752501
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hn1', '108.b1', '108.cz1', '108.eh1'], 'contains': ['432.u1', '648.lg1', '648.lh1', '648.ll1', '648.lm1', '648.ma1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 108, 'diagramx': None, 'generators': [1, 3888, 432, 4, 144], 'label': '34992.ns.216.jy1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.c1', 'old_label': '216.jy1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jy1', 'subgroup_fusion': None, 'weyl_group': '324.121'}
id: 202752502
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.jz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hp1', '108.ei1'], 'contains': ['432.w1', '648.lg2', '648.lj1', '648.lq1', '648.ls1', '648.mb1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 216, 'diagramx': None, 'generators': [1, 3888, 3024, 4, 192], 'label': '34992.ns.216.jz1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.ei1', 'old_label': '216.jz1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.jz1', 'subgroup_fusion': None, 'weyl_group': '324.121'}
id: 202752503
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ka1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hk1', '108.y1'], 'contains': ['432.z1', '648.lk1', '648.lo1', '648.lr1', '648.mc1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 216, 'diagramx': None, 'generators': [1, 3888, 1296, 11668, 48], 'label': '34992.ns.216.ka1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.y1', 'old_label': '216.ka1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ka1', 'subgroup_fusion': None, 'weyl_group': '324.116'}
id: 202752504
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '11664.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.he1', '72.hj1', '72.hn1', '72.ho1', '108.f1', '108.da1', '108.ev1'], 'contains': ['432.bm1', '648.lh1', '648.ln1', '648.lt1', '648.mf1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [1, 11664, 1728, 192, 27216], 'label': '34992.ns.216.kb1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.e1', 'old_label': '216.kb1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kb1', 'subgroup_fusion': None, 'weyl_group': '648.555'}
id: 202752505
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.b1', '12.e1', '12.bf1', '12.bj1', '12.bm1'], 'contains': ['48.b1', '72.a1', '72.bz1', '72.cc1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [72, 3888, 1296, 292, 11664, 48, 432], 'label': '34992.ns.24.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '24.b1', 'normal_contained_in': ['8.a1', '12.b1', '12.e1'], 'normal_contains': ['48.b1', '72.a1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '34992.ns'}
id: 202752506
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '11664.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.he1', '72.hk1', '72.hn1', '72.hp1', '108.g1', '108.db1', '108.ew1'], 'contains': ['432.bn1', '648.lg1', '648.lg2', '648.li1', '648.lo1', '648.lt1', '648.mf1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [1, 11664, 3024, 192, 3888], 'label': '34992.ns.216.kc1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.e1', 'old_label': '216.kc1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kc1', 'subgroup_fusion': None, 'weyl_group': '648.555'}
id: 202752507
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '11664.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.he1', '72.hl1', '72.hm1', '72.ho1', '72.hp1', '108.ex1'], 'contains': ['432.bo1', '648.lj1', '648.lp1', '648.lt1', '648.mf1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [1, 11664, 432, 192, 27216], 'label': '34992.ns.216.kd1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.dl1', 'old_label': '216.kd1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kd1', 'subgroup_fusion': None, 'weyl_group': '324.124'}
id: 202752508
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ke1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hf1', '72.hj1', '72.hk1', '72.hm1', '72.hq1', '108.z1', '108.dr1', '108.ey1'], 'contains': ['432.ca1', '648.lk1', '648.lt1', '648.mg1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [1, 11664, 432, 48, 3888], 'label': '34992.ns.216.ke1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.o1', 'old_label': '216.ke1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ke1', 'subgroup_fusion': None, 'weyl_group': '1944.2342'}
id: 202752509
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hf1', '72.hl1', '72.hn1', '72.hq1', '108.h1', '108.dc1', '108.ez1'], 'contains': ['432.cb1', '648.ll1', '648.lt1', '648.mg1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [1, 11664, 3024, 48, 15552], 'label': '34992.ns.216.kf1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.f1', 'old_label': '216.kf1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kf1', 'subgroup_fusion': None, 'weyl_group': '1944.2342'}
id: 202752510
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hg1', '72.hm1', '72.hn1', '72.hr1', '108.i1', '108.dd1', '108.fa1'], 'contains': ['432.cj1', '648.lm1', '648.lt1', '648.mh1'], 'core': '1296.b1', 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [1, 11664, 432, 144, 3888], 'label': '34992.ns.216.kg1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.g1', 'old_label': '216.kg1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kg1', 'subgroup_fusion': None, 'weyl_group': '1944.2342'}
id: 202752511
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hh1', '72.ho1', '72.hp1', '72.hq1', '72.hr1', '108.fb1'], 'contains': ['432.co1', '648.lq1', '648.lt1', '648.mi1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [1, 11664, 3024, 340, 3888], 'label': '34992.ns.216.kh1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.do1', 'old_label': '216.kh1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kh1', 'subgroup_fusion': None, 'weyl_group': '972.456'}
id: 202752512
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ki1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hi1', '72.hk1', '72.hl1', '72.ho1', '72.hr1', '108.fc1'], 'contains': ['432.cv1', '648.lr1', '648.lt1', '648.mj1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [1, 11664, 3024, 52, 27216], 'label': '34992.ns.216.ki1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.dp1', 'old_label': '216.ki1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ki1', 'subgroup_fusion': None, 'weyl_group': '972.456'}
id: 202752513
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.hi1', '72.hj1', '72.hl1', '72.hp1', '72.hr1', '108.fd1'], 'contains': ['432.cw1', '648.ls1', '648.lt1', '648.mj1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 72, 'diagramx': None, 'generators': [1, 11664, 1728, 52, 3888], 'label': '34992.ns.216.kj1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.dp1', 'old_label': '216.kj1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kj1', 'subgroup_fusion': None, 'weyl_group': '972.456'}
id: 202752514
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.c1', '108.ch1'], 'contains': ['432.j1', '648.lu1', '648.lv1', '648.lv2', '648.lw1', '648.lx1', '648.ly1', '648.mc1', '648.md1', '648.me1', '648.mk1', '648.mk2', '648.mk3', '648.ml1', '648.ml2', '648.mm1', '648.mo1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 216, 'diagramx': None, 'generators': [1, 3888, 11668, 48, 144], 'label': '34992.ns.216.kk1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '108.ch1', 'old_label': '216.kk1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kk1', 'subgroup_fusion': None, 'weyl_group': '324.169'}
id: 202752515
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.c1', '108.t1', '108.ci1', '108.du1'], 'contains': ['432.y1', '648.lv1', '648.lv2', '648.lx1', '648.ly1', '648.lz1', '648.ma1', '648.mb1', '648.md1', '648.me1', '648.mk1', '648.mk2', '648.mk3', '648.ml1', '648.ml2', '648.mm1', '648.mn1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 108, 'diagramx': None, 'generators': [1, 27216, 4, 48, 144], 'label': '34992.ns.216.kl1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.d1', 'old_label': '216.kl1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kl1', 'subgroup_fusion': None, 'weyl_group': '648.732'}
id: 202752516
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '11664.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.g1'], 'contains': ['48.g1', '72.d1', '72.i1', '72.j1', '72.o1', '72.p1', '72.q1', '72.r1', '72.u1', '72.x1', '72.ba1', '72.bb1', '72.be1', '72.bh1', '72.bh2'], 'core': '432.a1', 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [6, 12144, 11664, 4, 3888, 144, 1296], 'label': '34992.ns.24.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.g1', 'old_label': '24.c1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '972.806'}
id: 202752517
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.km1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.c1', '72.hj1', '72.hk1', '72.hl1', '108.cj1', '108.ck1', '108.eb1'], 'contains': ['432.bl1', '648.lv1', '648.lv2', '648.lz1', '648.mc1', '648.mf1', '648.mg1', '648.mj1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 11664, 4, 48, 3888], 'label': '34992.ns.216.km1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.f1', 'old_label': '216.km1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.km1', 'subgroup_fusion': None, 'weyl_group': None}
id: 202752518
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['72.c1', '72.hm1', '72.hn1', '108.u1', '108.cl1', '108.ec1'], 'contains': ['432.a1', '648.lu1', '648.lx1', '648.ma1', '648.mf1', '648.mg1', '648.mh1'], 'core': '432.a1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 11664, 4, 144, 3888], 'label': '34992.ns.216.kn1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '216.kn1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kn1', 'subgroup_fusion': None, 'weyl_group': '11664.bb'}
id: 202752519
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.ko1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1', '72.ho1', '72.hp1', '108.ed1'], 'contains': ['432.bz1', '648.lw1', '648.ly1', '648.mb1', '648.mf1', '648.mi1', '648.mj1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1, 11664, 4, 192, 3888], 'label': '34992.ns.216.ko1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.bi1', 'old_label': '216.ko1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.ko1', 'subgroup_fusion': None, 'weyl_group': None}
id: 202752520
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1', '72.hq1', '108.cm1', '108.ee1'], 'contains': ['432.b1', '648.md1', '648.mg1', '648.mi1'], 'core': '432.b1', 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1, 11664, 292, 48, 3888], 'label': '34992.ns.216.kp1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '216.kp1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kp1', 'subgroup_fusion': None, 'weyl_group': None}
id: 202752521
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '216.kq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '34992.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['72.c1', '72.hr1', '108.ef1'], 'contains': ['432.ck1', '648.me1', '648.mh1', '648.mi1', '648.mj1'], 'core': '1296.b1', 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1, 11664, 52, 144, 3888], 'label': '34992.ns.216.kq1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.o1', 'old_label': '216.kq1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.kq1', 'subgroup_fusion': None, 'weyl_group': None}
id: 202752522
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '243.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['27.a1', '81.a1'], 'contains': ['486.a1', '486.b1', '486.i1', '486.l1', '486.r1', '486.y1', '486.z1', '729.a1', '729.b1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 486, 'diagramx': None, 'generators': [1, 144, 4, 6, 36, 72], 'label': '34992.ns.243.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.a1', 'old_label': '243.a1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.a1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
id: 202752523
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '243.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.b1', '81.a1'], 'contains': ['486.j1', '486.k1', '486.t1', '486.x1', '486.ba1', '729.b1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 243, 'diagramx': None, 'generators': [1, 48, 292, 6, 36, 72], 'label': '34992.ns.243.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.b1', 'old_label': '243.b1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.b1', 'subgroup_fusion': None, 'weyl_group': '72.46'}
id: 202752524
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '243.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.c1', '81.b1', '81.c1'], 'contains': ['486.m1', '486.o1', '486.v1', '486.bc1', '486.be1', '2187.a1'], 'core': '3888.a1', 'coset_action_label': None, 'count': 243, 'diagramx': None, 'generators': [1, 11664, 3888, 6, 36, 72], 'label': '34992.ns.243.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.c1', 'old_label': '243.c1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.c1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
id: 202752525
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '243.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '17496.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.c1'], 'contains': ['486.n1', '486.p1', '486.w1', '486.bd2', '486.bf1', '2187.a1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 243, 'diagramx': None, 'generators': [1, 1296, 432, 6, 36, 72], 'label': '34992.ns.243.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '243.d1', 'old_label': '243.d1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '243.d1', 'subgroup_fusion': None, 'weyl_group': '72.40'}
id: 202752526
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.k1', '162.j1'], 'contains': ['648.a1', '648.es1', '648.hl1', '972.a1', '972.e1', '972.h1', '972.m1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 324, 'diagramx': None, 'generators': [121, 18576, 18, 15552, 192], 'label': '34992.ns.324.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.j1', 'old_label': '324.a1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.a1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
id: 202752527
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '11664.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.h1', '12.j1', '12.k1'], 'contains': ['48.a1', '72.d1', '72.k1', '72.l1', '72.m1', '72.n1', '72.t1', '72.y1', '72.z1', '72.bf1', '72.bg1'], 'core': '48.a1', 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [399, 30240, 11664, 48, 15552, 144, 1296], 'label': '34992.ns.24.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '24.d1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '1944.3569'}
id: 202752528
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.l1'], 'contains': ['648.b1', '648.ev1', '648.hn1', '972.a1', '972.f1', '972.g1', '972.i1', '972.n1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 648, 'diagramx': None, 'generators': [73, 13104, 6, 11664, 4], 'label': '34992.ns.324.b1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '324.b1', 'old_label': '324.b1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.b1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752529
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.c1', '108.j1', '162.k1'], 'contains': ['648.c1', '648.ey1', '648.hs1', '972.b1', '972.e1', '972.g1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 324, 'diagramx': None, 'generators': [121, 15552, 18, 336, 18576], 'label': '34992.ns.324.c1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.k1', 'old_label': '324.c1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.c1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
id: 202752530
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.d1', '108.m1'], 'contains': ['648.d1', '648.fb1', '648.hz1', '972.b1', '972.f1', '972.h1', '972.i1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 648, 'diagramx': None, 'generators': [73, 11664, 6, 2596, 13104], 'label': '34992.ns.324.d1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '324.d1', 'old_label': '324.d1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.d1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752531
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.e1', '108.n1', '162.a1'], 'contains': ['648.e1', '648.fc1', '648.if1', '972.a1', '972.b1', '972.c1', '972.d1', '972.o1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 324, 'diagramx': None, 'generators': [121, 144, 18, 15552, 48], 'label': '34992.ns.324.e1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.a1', 'old_label': '324.e1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.e1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
id: 202752532
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.o1', '162.l1'], 'contains': ['648.f1', '648.fe1', '648.ii1', '972.c1', '972.e1', '972.f1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 324, 'diagramx': None, 'generators': [73, 11664, 6, 292, 1296], 'label': '34992.ns.324.f1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.l1', 'old_label': '324.f1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.f1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
id: 202752533
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.p1'], 'contains': ['648.g1', '648.fi1', '648.il1', '972.c1', '972.g1', '972.h1', '972.i1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 648, 'diagramx': None, 'generators': [73, 11664, 6, 1300, 13104], 'label': '34992.ns.324.g1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '324.g1', 'old_label': '324.g1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.g1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752534
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.q1', '162.m1'], 'contains': ['648.h1', '648.fn1', '648.ir1', '972.d1', '972.e1', '972.i1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 324, 'diagramx': None, 'generators': [73, 11664, 6, 144, 1296], 'label': '34992.ns.324.h1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.m1', 'old_label': '324.h1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.h1', 'subgroup_fusion': None, 'weyl_group': '36.10'}
id: 202752535
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.a1', '108.r1'], 'contains': ['648.i1', '648.fq1', '648.iu1', '972.d1', '972.f1', '972.g1', '972.h1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 648, 'diagramx': None, 'generators': [73, 11664, 6, 1300, 144], 'label': '34992.ns.324.i1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '324.i1', 'old_label': '324.i1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.i1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
id: 202752536
{'ambient': '34992.ns', 'aut_centralizer_order': None, 'aut_label': '324.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '5832.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['108.b1', '108.g1', '162.j1'], 'contains': ['648.a1', '648.et1', '648.lg1', '972.j1', '972.k1', '972.l1', '972.p1'], 'core': '34992.a1', 'coset_action_label': None, 'count': 324, 'diagramx': None, 'generators': [1, 11664, 6, 1296, 4], 'label': '34992.ns.324.j1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '162.j1', 'old_label': '324.j1', 'projective_image': '34992.ns', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.j1', 'subgroup_fusion': None, 'weyl_group': '36.10'}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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