LMFDB - Abstract group data

Formats: - HTML - YAML - JSON - 2025-11-02T02:23:35.823061

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

gps_groups • Show schema

{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '124.4', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 30, 'aut_gen_orders': [6, 30], 'aut_gens': [[1, 2], [62, 113], [63, 93]], 'aut_group': '180.33', 'aut_hash': 33, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 180, 'aut_permdeg': 13, 'aut_perms': [5766, 522910129], 'aut_phi_ratio': 3.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 3, 1], [31, 1, 30, 1], [62, 1, 90, 1]], 'aut_supersolvable': True, 'aut_tex': 'S_3\\times C_{30}', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 30, 'autcent_group': '180.33', 'autcent_hash': 33, 'autcent_nilpotent': False, 'autcent_order': 180, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'S_3\\times C_{30}', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 3], [31, 1, 30], [62, 1, 90]], 'center_label': '124.4', 'center_order': 124, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '31.1'], 'composition_length': 3, 'conjugacy_classes_known': True, 'counter': 4, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['2.1', 2], ['31.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [31, 1, 30, 1], [62, 1, 30, 3]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 32, 'exponent': 62, 'exponents_of_order': [2, 1], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 31], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '124.4', 'hash': 4, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 2], [1, 2]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 124]], 'label': '124.4', 'linC_count': 2880, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 31, 'linQ_degree_count': 6, 'linQ_dim': 31, 'linQ_dim_count': 6, 'linR_count': 90, 'linR_degree': 3, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C2*C62', 'ngens': 3, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 4, 'number_characteristic_subgroups': 4, 'number_conjugacy_classes': 124, 'number_divisions': 8, 'number_normal_subgroups': 10, 'number_subgroup_autclasses': 6, 'number_subgroup_classes': 10, 'number_subgroups': 10, 'old_label': None, 'order': 124, 'order_factorization_type': 22, 'order_stats': [[1, 1], [2, 3], [31, 30], [62, 90]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 30, 'outer_gen_orders': [6, 30], 'outer_gen_pows': [0, 0], 'outer_gens': [[62, 113], [63, 93]], 'outer_group': '180.33', 'outer_hash': 33, 'outer_nilpotent': False, 'outer_order': 180, 'outer_permdeg': 13, 'outer_perms': [5766, 522910129], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'S_3\\times C_{30}', 'pc_rank': 2, 'perfect': False, 'permutation_degree': 35, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 31], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [30, 4]], 'representations': {'PC': {'code': 918029, 'gens': [1, 2], 'pres': [3, -2, -2, -31, 16]}, 'GLFp': {'d': 2, 'p': 311, 'gens': [3639708019, 9324871920]}, 'Perm': {'d': 35, 'gens': [295232799039604140847618609643520000000, 263130836933693530167218012160000000, 7957585794365731759089254400000000]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 62], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2\\times C_{62}', 'transitive_degree': 124, '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: 41684930
{'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 4, 'group_order': 124, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1], 'representative': 0, 'size': 1}
id: 41684966
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 4, 'group_order': 124, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2], 'representative': 62, 'size': 1}
id: 41684977
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 4, 'group_order': 124, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3], 'representative': 1, 'size': 1}
id: 41684988
{'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 4, 'group_order': 124, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4], 'representative': 63, 'size': 1}
id: 41684999
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 5, 'group_counter': 4, 'group_order': 124, 'label': '31A1', 'order': 31, 'powers': [7, 9, 13, 1], 'representative': 4, 'size': 1}
id: 41685010
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 6, 'group_counter': 4, 'group_order': 124, 'label': '31A-1', 'order': 31, 'powers': [8, 10, 14, 1], 'representative': 120, 'size': 1}
id: 41685021
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 4, 'group_order': 124, 'label': '31A2', 'order': 31, 'powers': [11, 15, 23, 1], 'representative': 8, 'size': 1}
id: 41685032
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 4, 'group_order': 124, 'label': '31A-2', 'order': 31, 'powers': [12, 16, 24, 1], 'representative': 116, 'size': 1}
id: 41685043
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 4, 'group_order': 124, 'label': '31A3', 'order': 31, 'powers': [15, 21, 33, 1], 'representative': 12, 'size': 1}
id: 41684931
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 4, 'group_order': 124, 'label': '31A-3', 'order': 31, 'powers': [16, 22, 34, 1], 'representative': 112, 'size': 1}
id: 41684942
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 4, 'group_order': 124, 'label': '31A4', 'order': 31, 'powers': [19, 27, 26, 1], 'representative': 16, 'size': 1}
id: 41684953
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 12, 'group_counter': 4, 'group_order': 124, 'label': '31A-4', 'order': 31, 'powers': [20, 28, 25, 1], 'representative': 108, 'size': 1}
id: 41684959
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 4, 'group_order': 124, 'label': '31A5', 'order': 31, 'powers': [23, 33, 16, 1], 'representative': 20, 'size': 1}
id: 41684960
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 4, 'group_order': 124, 'label': '31A-5', 'order': 31, 'powers': [24, 34, 15, 1], 'representative': 104, 'size': 1}
id: 41684961
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 4, 'group_order': 124, 'label': '31A6', 'order': 31, 'powers': [27, 30, 6, 1], 'representative': 24, 'size': 1}
id: 41684962
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 4, 'group_order': 124, 'label': '31A-6', 'order': 31, 'powers': [28, 29, 5, 1], 'representative': 100, 'size': 1}
id: 41684963
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 4, 'group_order': 124, 'label': '31A7', 'order': 31, 'powers': [31, 24, 11, 1], 'representative': 28, 'size': 1}
id: 41684964
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 4, 'group_order': 124, 'label': '31A-7', 'order': 31, 'powers': [32, 23, 12, 1], 'representative': 96, 'size': 1}
id: 41684965
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 4, 'group_order': 124, 'label': '31A8', 'order': 31, 'powers': [34, 18, 21, 1], 'representative': 32, 'size': 1}
id: 41684967
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 4, 'group_order': 124, 'label': '31A-8', 'order': 31, 'powers': [33, 17, 22, 1], 'representative': 92, 'size': 1}
id: 41684968
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 4, 'group_order': 124, 'label': '31A9', 'order': 31, 'powers': [30, 12, 31, 1], 'representative': 36, 'size': 1}
id: 41684969
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 4, 'group_order': 124, 'label': '31A-9', 'order': 31, 'powers': [29, 11, 32, 1], 'representative': 88, 'size': 1}
id: 41684970
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 23, 'group_counter': 4, 'group_order': 124, 'label': '31A10', 'order': 31, 'powers': [26, 6, 28, 1], 'representative': 40, 'size': 1}
id: 41684971
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 24, 'group_counter': 4, 'group_order': 124, 'label': '31A-10', 'order': 31, 'powers': [25, 5, 27, 1], 'representative': 84, 'size': 1}
id: 41684972
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 25, 'group_counter': 4, 'group_order': 124, 'label': '31A11', 'order': 31, 'powers': [22, 7, 18, 1], 'representative': 44, 'size': 1}
id: 41684973
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 26, 'group_counter': 4, 'group_order': 124, 'label': '31A-11', 'order': 31, 'powers': [21, 8, 17, 1], 'representative': 80, 'size': 1}
id: 41684974
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 4, 'group_order': 124, 'label': '31A12', 'order': 31, 'powers': [18, 13, 8, 1], 'representative': 48, 'size': 1}
id: 41684975
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 4, 'group_order': 124, 'label': '31A-12', 'order': 31, 'powers': [17, 14, 7, 1], 'representative': 76, 'size': 1}
id: 41684976
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 4, 'group_order': 124, 'label': '31A13', 'order': 31, 'powers': [14, 19, 9, 1], 'representative': 52, 'size': 1}
id: 41684978
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 4, 'group_order': 124, 'label': '31A-13', 'order': 31, 'powers': [13, 20, 10, 1], 'representative': 72, 'size': 1}
id: 41684979
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 4, 'group_order': 124, 'label': '31A14', 'order': 31, 'powers': [10, 25, 19, 1], 'representative': 56, 'size': 1}
id: 41684980
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 4, 'group_order': 124, 'label': '31A-14', 'order': 31, 'powers': [9, 26, 20, 1], 'representative': 68, 'size': 1}
id: 41684981
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 4, 'group_order': 124, 'label': '31A15', 'order': 31, 'powers': [6, 31, 29, 1], 'representative': 60, 'size': 1}
id: 41684982
{'aut_label': '31A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 4, 'group_order': 124, 'label': '31A-15', 'order': 31, 'powers': [5, 32, 30, 1], 'representative': 64, 'size': 1}
id: 41684983
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 4, 'group_order': 124, 'label': '62A1', 'order': 62, 'powers': [5, 37, 39, 2], 'representative': 2, 'size': 1}
id: 41684984
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 4, 'group_order': 124, 'label': '62A-1', 'order': 62, 'powers': [6, 38, 40, 2], 'representative': 122, 'size': 1}
id: 41684985
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 4, 'group_order': 124, 'label': '62A3', 'order': 62, 'powers': [9, 43, 49, 2], 'representative': 6, 'size': 1}
id: 41684986
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 4, 'group_order': 124, 'label': '62A-3', 'order': 62, 'powers': [10, 44, 50, 2], 'representative': 118, 'size': 1}
id: 41684987
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 39, 'group_counter': 4, 'group_order': 124, 'label': '62A5', 'order': 62, 'powers': [13, 49, 59, 2], 'representative': 10, 'size': 1}
id: 41684989
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 40, 'group_counter': 4, 'group_order': 124, 'label': '62A-5', 'order': 62, 'powers': [14, 50, 60, 2], 'representative': 114, 'size': 1}
id: 41684990
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 41, 'group_counter': 4, 'group_order': 124, 'label': '62A7', 'order': 62, 'powers': [17, 55, 62, 2], 'representative': 14, 'size': 1}
id: 41684991
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 42, 'group_counter': 4, 'group_order': 124, 'label': '62A-7', 'order': 62, 'powers': [18, 56, 61, 2], 'representative': 110, 'size': 1}
id: 41684992
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 43, 'group_counter': 4, 'group_order': 124, 'label': '62A9', 'order': 62, 'powers': [21, 61, 52, 2], 'representative': 18, 'size': 1}
id: 41684993
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 44, 'group_counter': 4, 'group_order': 124, 'label': '62A-9', 'order': 62, 'powers': [22, 62, 51, 2], 'representative': 106, 'size': 1}
id: 41684994
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 45, 'group_counter': 4, 'group_order': 124, 'label': '62A11', 'order': 62, 'powers': [25, 64, 42, 2], 'representative': 22, 'size': 1}
id: 41684995
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 46, 'group_counter': 4, 'group_order': 124, 'label': '62A-11', 'order': 62, 'powers': [26, 63, 41, 2], 'representative': 102, 'size': 1}
id: 41684996
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 47, 'group_counter': 4, 'group_order': 124, 'label': '62A13', 'order': 62, 'powers': [29, 58, 37, 2], 'representative': 26, 'size': 1}
id: 41684997
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 48, 'group_counter': 4, 'group_order': 124, 'label': '62A-13', 'order': 62, 'powers': [30, 57, 38, 2], 'representative': 98, 'size': 1}
id: 41684998
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 49, 'group_counter': 4, 'group_order': 124, 'label': '62A15', 'order': 62, 'powers': [33, 52, 47, 2], 'representative': 30, 'size': 1}
id: 41685000
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 50, 'group_counter': 4, 'group_order': 124, 'label': '62A-15', 'order': 62, 'powers': [34, 51, 48, 2], 'representative': 94, 'size': 1}
id: 41685001
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 51, 'group_counter': 4, 'group_order': 124, 'label': '62A17', 'order': 62, 'powers': [32, 46, 57, 2], 'representative': 34, 'size': 1}
id: 41685002
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 52, 'group_counter': 4, 'group_order': 124, 'label': '62A-17', 'order': 62, 'powers': [31, 45, 58, 2], 'representative': 90, 'size': 1}
id: 41685003
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 53, 'group_counter': 4, 'group_order': 124, 'label': '62A19', 'order': 62, 'powers': [28, 40, 64, 2], 'representative': 38, 'size': 1}
id: 41685004
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 54, 'group_counter': 4, 'group_order': 124, 'label': '62A-19', 'order': 62, 'powers': [27, 39, 63, 2], 'representative': 86, 'size': 1}
id: 41685005
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 4, 'group_order': 124, 'label': '62A21', 'order': 62, 'powers': [24, 35, 54, 2], 'representative': 42, 'size': 1}
id: 41685006
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 4, 'group_order': 124, 'label': '62A-21', 'order': 62, 'powers': [23, 36, 53, 2], 'representative': 82, 'size': 1}
id: 41685007
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 4, 'group_order': 124, 'label': '62A23', 'order': 62, 'powers': [20, 41, 44, 2], 'representative': 46, 'size': 1}
id: 41685008
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 4, 'group_order': 124, 'label': '62A-23', 'order': 62, 'powers': [19, 42, 43, 2], 'representative': 78, 'size': 1}
id: 41685009
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 4, 'group_order': 124, 'label': '62A25', 'order': 62, 'powers': [16, 47, 35, 2], 'representative': 50, 'size': 1}
id: 41685011
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 4, 'group_order': 124, 'label': '62A-25', 'order': 62, 'powers': [15, 48, 36, 2], 'representative': 74, 'size': 1}
id: 41685012
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 61, 'group_counter': 4, 'group_order': 124, 'label': '62A27', 'order': 62, 'powers': [12, 53, 45, 2], 'representative': 54, 'size': 1}
id: 41685013
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 62, 'group_counter': 4, 'group_order': 124, 'label': '62A-27', 'order': 62, 'powers': [11, 54, 46, 2], 'representative': 70, 'size': 1}
id: 41685014
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 63, 'group_counter': 4, 'group_order': 124, 'label': '62A29', 'order': 62, 'powers': [8, 59, 55, 2], 'representative': 58, 'size': 1}
id: 41685015
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 64, 'group_counter': 4, 'group_order': 124, 'label': '62A-29', 'order': 62, 'powers': [7, 60, 56, 2], 'representative': 66, 'size': 1}
id: 41685016
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 65, 'group_counter': 4, 'group_order': 124, 'label': '62B1', 'order': 62, 'powers': [7, 67, 69, 3], 'representative': 5, 'size': 1}
id: 41685017
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 66, 'group_counter': 4, 'group_order': 124, 'label': '62B-1', 'order': 62, 'powers': [8, 68, 70, 3], 'representative': 121, 'size': 1}
id: 41685018
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 67, 'group_counter': 4, 'group_order': 124, 'label': '62B3', 'order': 62, 'powers': [15, 73, 79, 3], 'representative': 13, 'size': 1}
id: 41685019
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 68, 'group_counter': 4, 'group_order': 124, 'label': '62B-3', 'order': 62, 'powers': [16, 74, 80, 3], 'representative': 113, 'size': 1}
id: 41685020
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 69, 'group_counter': 4, 'group_order': 124, 'label': '62B5', 'order': 62, 'powers': [23, 79, 89, 3], 'representative': 21, 'size': 1}
id: 41685022
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 70, 'group_counter': 4, 'group_order': 124, 'label': '62B-5', 'order': 62, 'powers': [24, 80, 90, 3], 'representative': 105, 'size': 1}
id: 41685023
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 71, 'group_counter': 4, 'group_order': 124, 'label': '62B7', 'order': 62, 'powers': [31, 85, 92, 3], 'representative': 29, 'size': 1}
id: 41685024
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 72, 'group_counter': 4, 'group_order': 124, 'label': '62B-7', 'order': 62, 'powers': [32, 86, 91, 3], 'representative': 97, 'size': 1}
id: 41685025
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 73, 'group_counter': 4, 'group_order': 124, 'label': '62B9', 'order': 62, 'powers': [30, 91, 82, 3], 'representative': 37, 'size': 1}
id: 41685026
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 74, 'group_counter': 4, 'group_order': 124, 'label': '62B-9', 'order': 62, 'powers': [29, 92, 81, 3], 'representative': 89, 'size': 1}
id: 41685027
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 75, 'group_counter': 4, 'group_order': 124, 'label': '62B11', 'order': 62, 'powers': [22, 94, 72, 3], 'representative': 45, 'size': 1}
id: 41685028
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 76, 'group_counter': 4, 'group_order': 124, 'label': '62B-11', 'order': 62, 'powers': [21, 93, 71, 3], 'representative': 81, 'size': 1}
id: 41685029
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 77, 'group_counter': 4, 'group_order': 124, 'label': '62B13', 'order': 62, 'powers': [14, 88, 67, 3], 'representative': 53, 'size': 1}
id: 41685030
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 78, 'group_counter': 4, 'group_order': 124, 'label': '62B-13', 'order': 62, 'powers': [13, 87, 68, 3], 'representative': 73, 'size': 1}
id: 41685031
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 4, 'group_order': 124, 'label': '62B15', 'order': 62, 'powers': [6, 82, 77, 3], 'representative': 61, 'size': 1}
id: 41685033
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 4, 'group_order': 124, 'label': '62B-15', 'order': 62, 'powers': [5, 81, 78, 3], 'representative': 65, 'size': 1}
id: 41685034
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 4, 'group_order': 124, 'label': '62B17', 'order': 62, 'powers': [9, 76, 87, 3], 'representative': 69, 'size': 1}
id: 41685035
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 4, 'group_order': 124, 'label': '62B-17', 'order': 62, 'powers': [10, 75, 88, 3], 'representative': 57, 'size': 1}
id: 41685036
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 4, 'group_order': 124, 'label': '62B19', 'order': 62, 'powers': [17, 70, 94, 3], 'representative': 77, 'size': 1}
id: 41685037
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 4, 'group_order': 124, 'label': '62B-19', 'order': 62, 'powers': [18, 69, 93, 3], 'representative': 49, 'size': 1}
id: 41685038
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 4, 'group_order': 124, 'label': '62B21', 'order': 62, 'powers': [25, 65, 84, 3], 'representative': 85, 'size': 1}
id: 41685039
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 4, 'group_order': 124, 'label': '62B-21', 'order': 62, 'powers': [26, 66, 83, 3], 'representative': 41, 'size': 1}
id: 41685040
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 87, 'group_counter': 4, 'group_order': 124, 'label': '62B23', 'order': 62, 'powers': [33, 71, 74, 3], 'representative': 93, 'size': 1}
id: 41685041
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 88, 'group_counter': 4, 'group_order': 124, 'label': '62B-23', 'order': 62, 'powers': [34, 72, 73, 3], 'representative': 33, 'size': 1}
id: 41685042
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 89, 'group_counter': 4, 'group_order': 124, 'label': '62B25', 'order': 62, 'powers': [28, 77, 65, 3], 'representative': 101, 'size': 1}
id: 41685044
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 90, 'group_counter': 4, 'group_order': 124, 'label': '62B-25', 'order': 62, 'powers': [27, 78, 66, 3], 'representative': 25, 'size': 1}
id: 41685045
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 91, 'group_counter': 4, 'group_order': 124, 'label': '62B27', 'order': 62, 'powers': [20, 83, 75, 3], 'representative': 109, 'size': 1}
id: 41685046
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 92, 'group_counter': 4, 'group_order': 124, 'label': '62B-27', 'order': 62, 'powers': [19, 84, 76, 3], 'representative': 17, 'size': 1}
id: 41685047
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 4, 'group_order': 124, 'label': '62B29', 'order': 62, 'powers': [12, 89, 85, 3], 'representative': 117, 'size': 1}
id: 41685048
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 4, 'group_order': 124, 'label': '62B-29', 'order': 62, 'powers': [11, 90, 86, 3], 'representative': 9, 'size': 1}
id: 41685049
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 4, 'group_order': 124, 'label': '62C1', 'order': 62, 'powers': [5, 97, 99, 4], 'representative': 3, 'size': 1}
id: 41685050
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 4, 'group_order': 124, 'label': '62C-1', 'order': 62, 'powers': [6, 98, 100, 4], 'representative': 123, 'size': 1}
id: 41685051
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 4, 'group_order': 124, 'label': '62C3', 'order': 62, 'powers': [9, 103, 109, 4], 'representative': 7, 'size': 1}
id: 41685052
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 4, 'group_order': 124, 'label': '62C-3', 'order': 62, 'powers': [10, 104, 110, 4], 'representative': 119, 'size': 1}
id: 41685053
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 4, 'group_order': 124, 'label': '62C5', 'order': 62, 'powers': [13, 109, 119, 4], 'representative': 11, 'size': 1}
id: 41684932
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 4, 'group_order': 124, 'label': '62C-5', 'order': 62, 'powers': [14, 110, 120, 4], 'representative': 115, 'size': 1}
id: 41684933
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 4, 'group_order': 124, 'label': '62C7', 'order': 62, 'powers': [17, 115, 122, 4], 'representative': 15, 'size': 1}
id: 41684934
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 4, 'group_order': 124, 'label': '62C-7', 'order': 62, 'powers': [18, 116, 121, 4], 'representative': 111, 'size': 1}
id: 41684935
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 103, 'group_counter': 4, 'group_order': 124, 'label': '62C9', 'order': 62, 'powers': [21, 121, 112, 4], 'representative': 19, 'size': 1}
id: 41684936
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 104, 'group_counter': 4, 'group_order': 124, 'label': '62C-9', 'order': 62, 'powers': [22, 122, 111, 4], 'representative': 107, 'size': 1}
id: 41684937
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 105, 'group_counter': 4, 'group_order': 124, 'label': '62C11', 'order': 62, 'powers': [25, 124, 102, 4], 'representative': 23, 'size': 1}
id: 41684938
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 106, 'group_counter': 4, 'group_order': 124, 'label': '62C-11', 'order': 62, 'powers': [26, 123, 101, 4], 'representative': 103, 'size': 1}
id: 41684939
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 107, 'group_counter': 4, 'group_order': 124, 'label': '62C13', 'order': 62, 'powers': [29, 118, 97, 4], 'representative': 27, 'size': 1}
id: 41684940
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 108, 'group_counter': 4, 'group_order': 124, 'label': '62C-13', 'order': 62, 'powers': [30, 117, 98, 4], 'representative': 99, 'size': 1}
id: 41684941
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 109, 'group_counter': 4, 'group_order': 124, 'label': '62C15', 'order': 62, 'powers': [33, 112, 107, 4], 'representative': 31, 'size': 1}
id: 41684943
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 110, 'group_counter': 4, 'group_order': 124, 'label': '62C-15', 'order': 62, 'powers': [34, 111, 108, 4], 'representative': 95, 'size': 1}
id: 41684944
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 111, 'group_counter': 4, 'group_order': 124, 'label': '62C17', 'order': 62, 'powers': [32, 106, 117, 4], 'representative': 35, 'size': 1}
id: 41684945
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 112, 'group_counter': 4, 'group_order': 124, 'label': '62C-17', 'order': 62, 'powers': [31, 105, 118, 4], 'representative': 91, 'size': 1}
id: 41684946
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 113, 'group_counter': 4, 'group_order': 124, 'label': '62C19', 'order': 62, 'powers': [28, 100, 124, 4], 'representative': 39, 'size': 1}
id: 41684947
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 114, 'group_counter': 4, 'group_order': 124, 'label': '62C-19', 'order': 62, 'powers': [27, 99, 123, 4], 'representative': 87, 'size': 1}
id: 41684948
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 115, 'group_counter': 4, 'group_order': 124, 'label': '62C21', 'order': 62, 'powers': [24, 95, 114, 4], 'representative': 43, 'size': 1}
id: 41684949
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 116, 'group_counter': 4, 'group_order': 124, 'label': '62C-21', 'order': 62, 'powers': [23, 96, 113, 4], 'representative': 83, 'size': 1}
id: 41684950
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 117, 'group_counter': 4, 'group_order': 124, 'label': '62C23', 'order': 62, 'powers': [20, 101, 104, 4], 'representative': 47, 'size': 1}
id: 41684951
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 118, 'group_counter': 4, 'group_order': 124, 'label': '62C-23', 'order': 62, 'powers': [19, 102, 103, 4], 'representative': 79, 'size': 1}
id: 41684952
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 119, 'group_counter': 4, 'group_order': 124, 'label': '62C25', 'order': 62, 'powers': [16, 107, 95, 4], 'representative': 51, 'size': 1}
id: 41684954
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 120, 'group_counter': 4, 'group_order': 124, 'label': '62C-25', 'order': 62, 'powers': [15, 108, 96, 4], 'representative': 75, 'size': 1}
id: 41684955
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 121, 'group_counter': 4, 'group_order': 124, 'label': '62C27', 'order': 62, 'powers': [12, 113, 105, 4], 'representative': 55, 'size': 1}
id: 41684956
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 122, 'group_counter': 4, 'group_order': 124, 'label': '62C-27', 'order': 62, 'powers': [11, 114, 106, 4], 'representative': 71, 'size': 1}
id: 41684957
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 123, 'group_counter': 4, 'group_order': 124, 'label': '62C29', 'order': 62, 'powers': [8, 119, 115, 4], 'representative': 59, 'size': 1}
id: 41684958
{'aut_label': '62A1', 'centralizer': '1.a1.a1', 'counter': 124, 'group_counter': 4, 'group_order': 124, 'label': '62C-29', 'order': 62, 'powers': [7, 120, 116, 4], 'representative': 67, 'size': 1}

Column	Type
cdim	integer
counter	smallint
faithful	boolean
group	text
group_order	numeric
image	text
label	text
multiplicity	smallint
nt	integer[]
qdim	integer
qvalues	integer[]
schur_index	smallint

gps_qchar • Show schema

id: 63275
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '124.4', 'group_order': 124, 'image': None, 'label': '124.4.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
id: 63276
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '124.4', 'group_order': 124, 'image': None, 'label': '124.4.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1], 'schur_index': 1}
id: 63277
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '124.4', 'group_order': 124, 'image': None, 'label': '124.4.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
id: 63278
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '124.4', 'group_order': 124, 'image': None, 'label': '124.4.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1], 'schur_index': 1}
id: 63279
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '124.4', 'group_order': 124, 'image': None, 'label': '124.4.1e', 'multiplicity': 30, 'nt': [31, 1], 'qdim': 30, 'qvalues': [30, 30, 30, 30, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 63280
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '124.4', 'group_order': 124, 'image': None, 'label': '124.4.1f', 'multiplicity': 30, 'nt': [62, 0], 'qdim': 30, 'qvalues': [30, -30, -30, 30, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 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: 63281
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '124.4', 'group_order': 124, 'image': None, 'label': '124.4.1g', 'multiplicity': 30, 'nt': [62, 0], 'qdim': 30, 'qvalues': [30, -30, 30, -30, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 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: 63282
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '124.4', 'group_order': 124, 'image': None, 'label': '124.4.1h', 'multiplicity': 30, 'nt': [62, 0], 'qdim': 30, 'qvalues': [30, 30, -30, -30, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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}

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: 46076
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 124, 'label': '124.4.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
id: 46112
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.c1', 'kernel_order': 62, 'label': '124.4.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
id: 46123
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.b1', 'kernel_order': 62, 'label': '124.4.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
id: 46134
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 62, 'label': '124.4.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
id: 46145
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 5, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '31.1', 'image_order': 31, 'indicator': 0, 'kernel': '31.a1.a1', 'kernel_order': 4, 'label': '124.4.1e1', 'nt': [31, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -15]], [[1, 13]], [[1, 10]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, -5]], [[1, -8]], [[1, -11]], [[1, -14]], [[1, -3]], [[1, 11]], [[1, 14]], [[1, 3]], [[1, 6]], [[1, 9]], [[1, 12]], [[1, 15]], [[1, -13]], [[1, -10]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, 8]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, 4]], [[1, 6]], [[1, 3]], [[1, 7]], [[1, -3]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, -15]], [[1, 13]], [[1, 10]], [[1, -10]], [[1, -7]], [[1, 14]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, 8]], [[1, 11]], [[1, 14]], [[1, -14]], [[1, -11]], [[1, -8]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, 15]], [[1, -3]], [[1, 7]], [[1, -6]], [[1, 3]], [[1, -9]], [[1, 6]], [[1, -12]], [[1, 9]], [[1, -15]], [[1, 12]], [[1, 13]], [[1, 15]], [[1, 10]], [[1, -13]], [[1, 7]], [[1, -10]], [[1, 4]], [[1, -7]], [[1, 1]], [[1, -4]], [[1, -2]], [[1, -1]], [[1, -5]], [[1, 2]], [[1, -8]], [[1, 5]], [[1, -11]], [[1, 8]], [[1, -14]], [[1, 11]], [[1, -10]], [[1, -13]], [[1, 15]], [[1, 12]], [[1, 9]], [[1, 6]], [[1, 3]], [[1, 4]], [[1, -3]], [[1, -6]], [[1, -9]], [[1, -12]], [[1, -15]], [[1, 13]], [[1, 10]], [[1, 12]], [[1, -13]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, 5]], [[1, 8]], [[1, 11]], [[1, 14]], [[1, -14]], [[1, -11]], [[1, -8]], [[1, -5]], [[1, -2]], [[1, 1]], [[1, 9]]]}
id: 46106
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id: 46107
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id: 46108
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id: 46109
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id: 46110
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id: 46111
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id: 46113
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id: 46114
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id: 46115
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id: 46116
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id: 46156
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id: 46117
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id: 46118
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id: 46119
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id: 46120
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id: 46121
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id: 46122
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id: 46124
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id: 46125
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id: 46126
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id: 46127
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id: 46167
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id: 46128
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id: 46178
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id: 46189
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id: 46077
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id: 46088
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id: 46099
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id: 46105
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id: 46129
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id: 46139
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id: 46140
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id: 46141
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id: 46142
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id: 46143
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id: 46144
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id: 46146
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id: 46147
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id: 46148
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id: 46149
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id: 46130
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id: 46150
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id: 46151
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id: 46152
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id: 46153
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id: 46154
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id: 46155
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id: 46157
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id: 46158
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id: 46159
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id: 46160
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id: 46131
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id: 46161
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id: 46132
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id: 46133
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id: 46135
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id: 46136
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id: 46137
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id: 46138
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id: 46162
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id: 46172
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id: 46173
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id: 46174
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id: 46175
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id: 46176
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id: 46177
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id: 46179
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id: 46180
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id: 46181
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id: 46182
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id: 46163
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id: 46183
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id: 46184
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id: 46185
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id: 46186
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id: 46187
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id: 46188
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id: 46190
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id: 46191
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id: 46192
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id: 46193
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id: 46164
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id: 46194
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id: 46165
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id: 46166
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id: 46168
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id: 46169
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id: 46170
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id: 46171
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id: 46195
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id: 46082
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id: 46083
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id: 46084
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id: 46085
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id: 46086
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 108, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h14', 'nt': [62, 30], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 9]], [[1, -14]], [[1, -6]], [[1, 2]], [[1, 10]], [[1, -13]], [[1, -5]], [[1, 3]], [[1, 11]], [[1, -12]], [[1, -4]], [[1, 8]], [[1, 12]], [[1, 4]], [[1, -8]], [[1, 15]], [[1, 7]], [[1, -1]], [[1, -9]], [[1, 14]], [[1, 6]], [[1, -2]], [[1, -10]], [[1, 13]], [[1, 5]], [[1, -3]], [[1, -11]], [[1, -15]], [[1, -7]], [[1, 1]], [[-1, 10]], [[1, 15]], [[1, -8]], [[1, 2]], [[1, 8]], [[1, -15]], [[1, -7]], [[1, 1]], [[1, 9]], [[1, -14]], [[1, -6]], [[1, 6]], [[-1, -2]], [[-1, 4]], [[1, -2]], [[1, -10]], [[1, 13]], [[1, 5]], [[1, -3]], [[1, -11]], [[1, 12]], [[1, 4]], [[1, -4]], [[1, -12]], [[1, 11]], [[1, 3]], [[1, -5]], [[1, -13]], [[1, -9]], [[-1, 8]], [[-1, 2]], [[-1, -15]], [[-1, -8]], [[-1, -7]], [[-1, 15]], [[-1, 1]], [[-1, 7]], [[-1, 9]], [[-1, -1]], [[-1, -14]], [[-1, -9]], [[-1, -6]], [[-1, 14]], [[-1, 2]], [[-1, 6]], [[-1, 10]], [[-1, -2]], [[-1, -13]], [[-1, -10]], [[-1, -5]], [[-1, 13]], [[-1, 3]], [[-1, 5]], [[-1, 11]], [[-1, -3]], [[-1, -12]], [[-1, -11]], [[-1, -4]], [[-1, 12]], [[-1, 6]], [[-1, 14]], [[-1, -9]], [[-1, -1]], [[-1, 7]], [[-1, 15]], [[-1, -8]], [[1, 10]], [[-1, 8]], [[-1, -15]], [[-1, -7]], [[-1, 1]], [[-1, 9]], [[-1, -14]], [[-1, -6]], [[1, -1]], [[1, 14]], [[-1, -10]], [[-1, 13]], [[-1, 5]], [[-1, -3]], [[-1, -11]], [[-1, 12]], [[-1, 4]], [[-1, -4]], [[-1, -12]], [[-1, 11]], [[-1, 3]], [[-1, -5]], [[-1, -13]], [[1, 7]]]}
id: 46087
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 109, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h15', 'nt': [62, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -8]], [[1, 9]], [[1, -5]], [[1, 12]], [[1, -2]], [[1, 15]], [[1, 1]], [[1, -13]], [[1, 4]], [[1, -10]], [[1, 7]], [[1, -14]], [[1, 10]], [[1, -7]], [[1, 14]], [[1, -3]], [[1, 11]], [[1, -6]], [[1, 8]], [[1, -9]], [[1, 5]], [[1, -12]], [[1, 2]], [[1, -15]], [[1, -1]], [[1, 13]], [[1, -4]], [[1, 3]], [[1, -11]], [[1, 6]], [[-1, -2]], [[1, -3]], [[1, 14]], [[1, 12]], [[1, -14]], [[1, 3]], [[1, -11]], [[1, 6]], [[1, -8]], [[1, 9]], [[1, -5]], [[1, 5]], [[-1, -12]], [[-1, -7]], [[1, -12]], [[1, 2]], [[1, -15]], [[1, -1]], [[1, 13]], [[1, -4]], [[1, 10]], [[1, -7]], [[1, 7]], [[1, -10]], [[1, 4]], [[1, -13]], [[1, 1]], [[1, 15]], [[1, 8]], [[-1, -14]], [[-1, 12]], [[-1, 3]], [[-1, 14]], [[-1, -11]], [[-1, -3]], [[-1, 6]], [[-1, 11]], [[-1, -8]], [[-1, -6]], [[-1, 9]], [[-1, 8]], [[-1, -5]], [[-1, -9]], [[-1, 12]], [[-1, 5]], [[-1, -2]], [[-1, -12]], [[-1, 15]], [[-1, 2]], [[-1, 1]], [[-1, -15]], [[-1, -13]], [[-1, -1]], [[-1, 4]], [[-1, 13]], [[-1, -10]], [[-1, -4]], [[-1, 7]], [[-1, 10]], [[-1, 5]], [[-1, -9]], [[-1, 8]], [[-1, -6]], [[-1, 11]], [[-1, -3]], [[-1, 14]], [[1, -2]], [[-1, -14]], [[-1, 3]], [[-1, -11]], [[-1, 6]], [[-1, -8]], [[-1, 9]], [[-1, -5]], [[1, -6]], [[1, -9]], [[-1, 2]], [[-1, -15]], [[-1, -1]], [[-1, 13]], [[-1, -4]], [[-1, 10]], [[-1, -7]], [[-1, 7]], [[-1, -10]], [[-1, 4]], [[-1, -13]], [[-1, 1]], [[-1, 15]], [[1, 11]]]}
id: 46089
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id: 46090
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id: 46091
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id: 46092
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id: 46196
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id: 46093
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id: 46094
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id: 46095
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id: 46096
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id: 46097
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id: 46098
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id: 46100
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id: 46101
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id: 46102
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id: 46103
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id: 46197
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id: 46104
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 124, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h30', 'nt': [62, 30], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -5]], [[1, -11]], [[1, 14]], [[1, 8]], [[1, 2]], [[1, -4]], [[1, -10]], [[1, 15]], [[1, 9]], [[1, 3]], [[1, -6]], [[1, -9]], [[1, -3]], [[1, 6]], [[1, 12]], [[1, -13]], [[1, -7]], [[1, -1]], [[1, 5]], [[1, 11]], [[1, -14]], [[1, -8]], [[1, -2]], [[1, 4]], [[1, 10]], [[1, -15]], [[1, -12]], [[1, 13]], [[1, 7]], [[-1, 8]], [[1, 12]], [[1, 6]], [[1, 14]], [[1, -6]], [[1, -12]], [[1, 13]], [[1, 7]], [[1, 1]], [[1, -5]], [[1, -11]], [[1, 11]], [[-1, -14]], [[-1, -3]], [[1, -14]], [[1, -8]], [[1, -2]], [[1, 4]], [[1, 10]], [[1, -15]], [[1, -9]], [[1, -3]], [[1, 3]], [[1, 9]], [[1, 15]], [[1, -10]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -6]], [[-1, 14]], [[-1, -12]], [[-1, 6]], [[-1, 13]], [[-1, 12]], [[-1, 7]], [[-1, -13]], [[-1, 1]], [[-1, -7]], [[-1, -5]], [[-1, -1]], [[-1, -11]], [[-1, 5]], [[-1, 14]], [[-1, 11]], [[-1, 8]], [[-1, -14]], [[-1, 2]], [[-1, -8]], [[-1, -4]], [[-1, -2]], [[-1, -10]], [[-1, 4]], [[-1, 15]], [[-1, 10]], [[-1, 9]], [[-1, -15]], [[-1, 3]], [[-1, -9]], [[-1, 11]], [[-1, 5]], [[-1, -1]], [[-1, -7]], [[-1, -13]], [[-1, 12]], [[-1, 6]], [[1, 8]], [[-1, -6]], [[-1, -12]], [[-1, 13]], [[-1, 7]], [[-1, 1]], [[-1, -5]], [[-1, -11]], [[1, -7]], [[1, 5]], [[-1, -8]], [[-1, -2]], [[-1, 4]], [[-1, 10]], [[-1, -15]], [[-1, -9]], [[-1, -3]], [[-1, 3]], [[-1, 9]], [[-1, 15]], [[-1, -10]], [[-1, -4]], [[-1, 2]], [[1, -13]]]}
id: 46198
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 98, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h4', 'nt': [62, 30], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 14]], [[1, -8]], [[1, 1]], [[1, 10]], [[1, -12]], [[1, -3]], [[1, 6]], [[1, 15]], [[1, -7]], [[1, 2]], [[1, 11]], [[1, 9]], [[1, -2]], [[1, -11]], [[1, -9]], [[1, 13]], [[1, 4]], [[1, -5]], [[1, -14]], [[1, 8]], [[1, -1]], [[1, -10]], [[1, 12]], [[1, 3]], [[1, -6]], [[1, -15]], [[1, 7]], [[1, -13]], [[1, -4]], [[1, 5]], [[-1, -12]], [[1, 13]], [[1, -9]], [[1, 10]], [[1, 9]], [[1, -13]], [[1, -4]], [[1, 5]], [[1, 14]], [[1, -8]], [[1, 1]], [[1, -1]], [[-1, -10]], [[-1, -11]], [[1, -10]], [[1, 12]], [[1, 3]], [[1, -6]], [[1, -15]], [[1, 7]], [[1, -2]], [[1, -11]], [[1, 11]], [[1, 2]], [[1, -7]], [[1, 15]], [[1, 6]], [[1, -3]], [[1, -14]], [[-1, 9]], [[-1, 10]], [[-1, -13]], [[-1, -9]], [[-1, -4]], [[-1, 13]], [[-1, 5]], [[-1, 4]], [[-1, 14]], [[-1, -5]], [[-1, -8]], [[-1, -14]], [[-1, 1]], [[-1, 8]], [[-1, 10]], [[-1, -1]], [[-1, -12]], [[-1, -10]], [[-1, -3]], [[-1, 12]], [[-1, 6]], [[-1, 3]], [[-1, 15]], [[-1, -6]], [[-1, -7]], [[-1, -15]], [[-1, 2]], [[-1, 7]], [[-1, 11]], [[-1, -2]], [[-1, -1]], [[-1, 8]], [[-1, -14]], [[-1, -5]], [[-1, 4]], [[-1, 13]], [[-1, -9]], [[1, -12]], [[-1, 9]], [[-1, -13]], [[-1, -4]], [[-1, 5]], [[-1, 14]], [[-1, -8]], [[-1, 1]], [[1, -5]], [[1, 8]], [[-1, 12]], [[-1, 3]], [[-1, -6]], [[-1, -15]], [[-1, 7]], [[-1, -2]], [[-1, -11]], [[-1, 11]], [[-1, 2]], [[-1, -7]], [[-1, 15]], [[-1, 6]], [[-1, -3]], [[1, 4]]]}
id: 46199
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 99, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h5', 'nt': [62, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -13]], [[1, 3]], [[1, -12]], [[1, 4]], [[1, -11]], [[1, 5]], [[1, -10]], [[1, 6]], [[1, -9]], [[1, 7]], [[1, -8]], [[1, -15]], [[1, -7]], [[1, 8]], [[1, 15]], [[1, -1]], [[1, 14]], [[1, -2]], [[1, 13]], [[1, -3]], [[1, 12]], [[1, -4]], [[1, 11]], [[1, -5]], [[1, 10]], [[1, -6]], [[1, 9]], [[1, 1]], [[1, -14]], [[1, 2]], [[-1, -11]], [[1, -1]], [[1, 15]], [[1, 4]], [[1, -15]], [[1, 1]], [[1, -14]], [[1, 2]], [[1, -13]], [[1, 3]], [[1, -12]], [[1, 12]], [[-1, -4]], [[-1, 8]], [[1, -4]], [[1, 11]], [[1, -5]], [[1, 10]], [[1, -6]], [[1, 9]], [[1, -7]], [[1, 8]], [[1, -8]], [[1, 7]], [[1, -9]], [[1, 6]], [[1, -10]], [[1, 5]], [[1, 13]], [[-1, -15]], [[-1, 4]], [[-1, 1]], [[-1, 15]], [[-1, -14]], [[-1, -1]], [[-1, 2]], [[-1, 14]], [[-1, -13]], [[-1, -2]], [[-1, 3]], [[-1, 13]], [[-1, -12]], [[-1, -3]], [[-1, 4]], [[-1, 12]], [[-1, -11]], [[-1, -4]], [[-1, 5]], [[-1, 11]], [[-1, -10]], [[-1, -5]], [[-1, 6]], [[-1, 10]], [[-1, -9]], [[-1, -6]], [[-1, 7]], [[-1, 9]], [[-1, -8]], [[-1, -7]], [[-1, 12]], [[-1, -3]], [[-1, 13]], [[-1, -2]], [[-1, 14]], [[-1, -1]], [[-1, 15]], [[1, -11]], [[-1, -15]], [[-1, 1]], [[-1, -14]], [[-1, 2]], [[-1, -13]], [[-1, 3]], [[-1, -12]], [[1, -2]], [[1, -3]], [[-1, 11]], [[-1, -5]], [[-1, 10]], [[-1, -6]], [[-1, 9]], [[-1, -7]], [[-1, 8]], [[-1, -8]], [[-1, 7]], [[-1, -9]], [[-1, 6]], [[-1, -10]], [[-1, 5]], [[1, 14]]]}
id: 46078
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 100, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h6', 'nt': [62, 30], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 13]], [[1, -3]], [[1, 12]], [[1, -4]], [[1, 11]], [[1, -5]], [[1, 10]], [[1, -6]], [[1, 9]], [[1, -7]], [[1, 8]], [[1, 15]], [[1, 7]], [[1, -8]], [[1, -15]], [[1, 1]], [[1, -14]], [[1, 2]], [[1, -13]], [[1, 3]], [[1, -12]], [[1, 4]], [[1, -11]], [[1, 5]], [[1, -10]], [[1, 6]], [[1, -9]], [[1, -1]], [[1, 14]], [[1, -2]], [[-1, 11]], [[1, 1]], [[1, -15]], [[1, -4]], [[1, 15]], [[1, -1]], [[1, 14]], [[1, -2]], [[1, 13]], [[1, -3]], [[1, 12]], [[1, -12]], [[-1, 4]], [[-1, -8]], [[1, 4]], [[1, -11]], [[1, 5]], [[1, -10]], [[1, 6]], [[1, -9]], [[1, 7]], [[1, -8]], [[1, 8]], [[1, -7]], [[1, 9]], [[1, -6]], [[1, 10]], [[1, -5]], [[1, -13]], [[-1, 15]], [[-1, -4]], [[-1, -1]], [[-1, -15]], [[-1, 14]], [[-1, 1]], [[-1, -2]], [[-1, -14]], [[-1, 13]], [[-1, 2]], [[-1, -3]], [[-1, -13]], [[-1, 12]], [[-1, 3]], [[-1, -4]], [[-1, -12]], [[-1, 11]], [[-1, 4]], [[-1, -5]], [[-1, -11]], [[-1, 10]], [[-1, 5]], [[-1, -6]], [[-1, -10]], [[-1, 9]], [[-1, 6]], [[-1, -7]], [[-1, -9]], [[-1, 8]], [[-1, 7]], [[-1, -12]], [[-1, 3]], [[-1, -13]], [[-1, 2]], [[-1, -14]], [[-1, 1]], [[-1, -15]], [[1, 11]], [[-1, 15]], [[-1, -1]], [[-1, 14]], [[-1, -2]], [[-1, 13]], [[-1, -3]], [[-1, 12]], [[1, 2]], [[1, 3]], [[-1, -11]], [[-1, 5]], [[-1, -10]], [[-1, 6]], [[-1, -9]], [[-1, 7]], [[-1, -8]], [[-1, 8]], [[-1, -7]], [[-1, 9]], [[-1, -6]], [[-1, 10]], [[-1, -5]], [[1, -14]]]}
id: 46079
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 101, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h7', 'nt': [62, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -12]], [[1, -2]], [[1, 8]], [[1, -13]], [[1, -3]], [[1, 7]], [[1, -14]], [[1, -4]], [[1, 6]], [[1, -15]], [[1, -5]], [[1, 10]], [[1, 15]], [[1, 5]], [[1, -10]], [[1, 11]], [[1, 1]], [[1, -9]], [[1, 12]], [[1, 2]], [[1, -8]], [[1, 13]], [[1, 3]], [[1, -7]], [[1, 14]], [[1, 4]], [[1, -6]], [[1, -11]], [[1, -1]], [[1, 9]], [[-1, -3]], [[1, 11]], [[1, -10]], [[1, -13]], [[1, 10]], [[1, -11]], [[1, -1]], [[1, 9]], [[1, -12]], [[1, -2]], [[1, 8]], [[1, -8]], [[-1, 13]], [[-1, 5]], [[1, 13]], [[1, 3]], [[1, -7]], [[1, 14]], [[1, 4]], [[1, -6]], [[1, 15]], [[1, 5]], [[1, -5]], [[1, -15]], [[1, 6]], [[1, -4]], [[1, -14]], [[1, 7]], [[1, 12]], [[-1, 10]], [[-1, -13]], [[-1, -11]], [[-1, -10]], [[-1, -1]], [[-1, 11]], [[-1, 9]], [[-1, 1]], [[-1, -12]], [[-1, -9]], [[-1, -2]], [[-1, 12]], [[-1, 8]], [[-1, 2]], [[-1, -13]], [[-1, -8]], [[-1, -3]], [[-1, 13]], [[-1, 7]], [[-1, 3]], [[-1, -14]], [[-1, -7]], [[-1, -4]], [[-1, 14]], [[-1, 6]], [[-1, 4]], [[-1, -15]], [[-1, -6]], [[-1, -5]], [[-1, 15]], [[-1, -8]], [[-1, 2]], [[-1, 12]], [[-1, -9]], [[-1, 1]], [[-1, 11]], [[-1, -10]], [[1, -3]], [[-1, 10]], [[-1, -11]], [[-1, -1]], [[-1, 9]], [[-1, -12]], [[-1, -2]], [[-1, 8]], [[1, -9]], [[1, 2]], [[-1, 3]], [[-1, -7]], [[-1, 14]], [[-1, 4]], [[-1, -6]], [[-1, 15]], [[-1, 5]], [[-1, -5]], [[-1, -15]], [[-1, 6]], [[-1, -4]], [[-1, -14]], [[-1, 7]], [[1, 1]]]}
id: 46080
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 102, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h8', 'nt': [62, 30], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 12]], [[1, 2]], [[1, -8]], [[1, 13]], [[1, 3]], [[1, -7]], [[1, 14]], [[1, 4]], [[1, -6]], [[1, 15]], [[1, 5]], [[1, -10]], [[1, -15]], [[1, -5]], [[1, 10]], [[1, -11]], [[1, -1]], [[1, 9]], [[1, -12]], [[1, -2]], [[1, 8]], [[1, -13]], [[1, -3]], [[1, 7]], [[1, -14]], [[1, -4]], [[1, 6]], [[1, 11]], [[1, 1]], [[1, -9]], [[-1, 3]], [[1, -11]], [[1, 10]], [[1, 13]], [[1, -10]], [[1, 11]], [[1, 1]], [[1, -9]], [[1, 12]], [[1, 2]], [[1, -8]], [[1, 8]], [[-1, -13]], [[-1, -5]], [[1, -13]], [[1, -3]], [[1, 7]], [[1, -14]], [[1, -4]], [[1, 6]], [[1, -15]], [[1, -5]], [[1, 5]], [[1, 15]], [[1, -6]], [[1, 4]], [[1, 14]], [[1, -7]], [[1, -12]], [[-1, -10]], [[-1, 13]], [[-1, 11]], [[-1, 10]], [[-1, 1]], [[-1, -11]], [[-1, -9]], [[-1, -1]], [[-1, 12]], [[-1, 9]], [[-1, 2]], [[-1, -12]], [[-1, -8]], [[-1, -2]], [[-1, 13]], [[-1, 8]], [[-1, 3]], [[-1, -13]], [[-1, -7]], [[-1, -3]], [[-1, 14]], [[-1, 7]], [[-1, 4]], [[-1, -14]], [[-1, -6]], [[-1, -4]], [[-1, 15]], [[-1, 6]], [[-1, 5]], [[-1, -15]], [[-1, 8]], [[-1, -2]], [[-1, -12]], [[-1, 9]], [[-1, -1]], [[-1, -11]], [[-1, 10]], [[1, 3]], [[-1, -10]], [[-1, 11]], [[-1, 1]], [[-1, -9]], [[-1, 12]], [[-1, 2]], [[-1, -8]], [[1, 9]], [[1, -2]], [[-1, -3]], [[-1, 7]], [[-1, -14]], [[-1, -4]], [[-1, 6]], [[-1, -15]], [[-1, -5]], [[-1, 5]], [[-1, 15]], [[-1, -6]], [[-1, 4]], [[-1, 14]], [[-1, -7]], [[1, -1]]]}
id: 46081
{'center': '1.a1.a1', 'center_index': 1, 'center_order': 124, 'counter': 103, 'cyclotomic_n': 31, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'group': '124.4', 'group_counter': 4, 'group_order': 124, 'image': None, 'image_isoclass': '62.2', 'image_order': 62, 'indicator': 0, 'kernel': '62.a1.a1', 'kernel_order': 2, 'label': '124.4.1h9', 'nt': [62, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -11]], [[1, -7]], [[1, -3]], [[1, 1]], [[1, 5]], [[1, 9]], [[1, 13]], [[1, -14]], [[1, -10]], [[1, -6]], [[1, -2]], [[1, 4]], [[1, 6]], [[1, 2]], [[1, -4]], [[1, -8]], [[1, -12]], [[1, 15]], [[1, 11]], [[1, 7]], [[1, 3]], [[1, -1]], [[1, -5]], [[1, -9]], [[1, -13]], [[1, 14]], [[1, 10]], [[1, 8]], [[1, 12]], [[1, -15]], [[-1, 5]], [[1, -8]], [[1, -4]], [[1, 1]], [[1, 4]], [[1, 8]], [[1, 12]], [[1, -15]], [[1, -11]], [[1, -7]], [[1, -3]], [[1, 3]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[1, -5]], [[1, -9]], [[1, -13]], [[1, 14]], [[1, 10]], [[1, 6]], [[1, 2]], [[1, -2]], [[1, -6]], [[1, -10]], [[1, -14]], [[1, 13]], [[1, 9]], [[1, 11]], [[-1, 4]], [[-1, 1]], [[-1, 8]], [[-1, -4]], [[-1, 12]], [[-1, -8]], [[-1, -15]], [[-1, -12]], [[-1, -11]], [[-1, 15]], [[-1, -7]], [[-1, 11]], [[-1, -3]], [[-1, 7]], [[-1, 1]], [[-1, 3]], [[-1, 5]], [[-1, -1]], [[-1, 9]], [[-1, -5]], [[-1, 13]], [[-1, -9]], [[-1, -14]], [[-1, -13]], [[-1, -10]], [[-1, 14]], [[-1, -6]], [[-1, 10]], [[-1, -2]], [[-1, 6]], [[-1, 3]], [[-1, 7]], [[-1, 11]], [[-1, 15]], [[-1, -12]], [[-1, -8]], [[-1, -4]], [[1, 5]], [[-1, 4]], [[-1, 8]], [[-1, 12]], [[-1, -15]], [[-1, -11]], [[-1, -7]], [[-1, -3]], [[1, 15]], [[1, 7]], [[-1, -5]], [[-1, -9]], [[-1, -13]], [[-1, 14]], [[-1, 10]], [[-1, 6]], [[-1, 2]], [[-1, -2]], [[-1, -6]], [[-1, -10]], [[-1, -14]], [[-1, 13]], [[-1, 9]], [[1, -12]]]}

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

gps_subgroup_search • Show schema

id: 7412297
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': True, 'core_order': 124, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 62, 'label': '124.4.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'S', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '124.4', 'subgroup_hash': 4, 'subgroup_order': 124, 'subgroup_tex': 'C_2\\times C_{62}', 'supersolvable': True, 'sylow': 0}
id: 7412299
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 62, 'counter': 2, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '124.4.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '62.2', 'subgroup_hash': 2, 'subgroup_order': 62, 'subgroup_tex': 'C_{62}', 'supersolvable': True, 'sylow': 0}
id: 7412300
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 62, 'counter': 3, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '124.4.2.a1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '62.2', 'subgroup_hash': 2, 'subgroup_order': 62, 'subgroup_tex': 'C_{62}', 'supersolvable': True, 'sylow': 0}
id: 7412301
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 62, 'counter': 4, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '124.4.2.a1.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '62.2', 'subgroup_hash': 2, 'subgroup_order': 62, 'subgroup_tex': 'C_{62}', 'supersolvable': True, 'sylow': 0}
id: 7412302
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': True, 'core_order': 31, 'counter': 5, 'cyclic': True, 'direct': True, 'hall': 31, 'label': '124.4.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': True, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '31.1', 'subgroup_hash': 1, 'subgroup_order': 31, 'subgroup_tex': 'C_{31}', 'supersolvable': True, 'sylow': 31}
id: 7412303
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': True, 'core_order': 4, 'counter': 6, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '124.4.31.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '31.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '31.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 31, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{31}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 2}
id: 7412304
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 2, 'counter': 7, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '124.4.62.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '62.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '62.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 62, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{62}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
id: 7412305
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 2, 'counter': 8, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '124.4.62.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '62.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '62.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 62, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{62}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
id: 7412306
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': False, 'core_order': 2, 'counter': 9, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '124.4.62.a1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '62.a1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '62.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 62, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{62}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
id: 7412298
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '124.4', 'ambient_counter': 4, 'ambient_order': 124, 'ambient_tex': 'C_2\\times C_{62}', 'central': True, 'central_factor': False, 'centralizer_order': 124, 'characteristic': True, 'core_order': 1, 'counter': 10, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '124.4.124.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '124.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '124.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 124, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{62}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'PC', 'U1', 'L1', 'D1', 'C3'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}

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

gps_subgroup_data • Show schema

id: 7412297
{'ambient': '124.4', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['124.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.a1.b1', '2.a1.c1', '31.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6684, 6684, 5422, 5422, 5066, 5066, 5031, 5031], 'generators': [1, 62, 4], 'label': '124.4.1.a1.a1', 'mobius_quo': -2, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.b1', '2.a1.c1', '2.a1.a1', '31.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '1.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412298
{'ambient': '124.4', 'aut_centralizer_order': None, 'aut_label': '124.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '62.a1.a1', '62.a1.b1', '62.a1.c1'], 'contains': [], 'core': '124.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3576, 3576, 4964, 4964, 4934, 4934, 4969, 4969], 'generators': [], 'label': '124.4.124.a1.a1', 'mobius_quo': 1, 'mobius_sub': -2, 'normal_closure': '124.a1.a1', 'normal_contained_in': ['4.a1.a1', '62.a1.b1', '62.a1.c1', '62.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '124.a1.a1', 'projective_image': '124.4', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412299
{'ambient': '124.4', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '30.4', 'aut_weyl_index': 6, 'centralizer': '1.a1.a1', 'complements': ['62.a1.b1', '62.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '62.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4923, 4923, 4331, 4331, 2303, 2303, 3750, 3750], 'generators': [62, 4], 'label': '124.4.2.a1.a1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '62.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412300
{'ambient': '124.4', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '30.4', 'aut_weyl_index': 6, 'centralizer': '1.a1.a1', 'complements': ['62.a1.a1', '62.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '62.a1.b1'], 'core': '2.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4923, 4923, 8768, 8768, 2303, 2303, 8933, 8933], 'generators': [1, 4], 'label': '124.4.2.a1.b1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '2.a1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '62.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.b1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412301
{'ambient': '124.4', 'aut_centralizer_order': 2, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '30.4', 'aut_weyl_index': 6, 'centralizer': '1.a1.a1', 'complements': ['62.a1.a1', '62.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '62.a1.c1'], 'core': '2.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4923, 4923, 1232, 1232, 2303, 2303, 1067, 1067], 'generators': [63, 4], 'label': '124.4.2.a1.c1', 'mobius_quo': 1, 'mobius_sub': -1, 'normal_closure': '2.a1.c1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '62.a1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.c1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412302
{'ambient': '124.4', 'aut_centralizer_order': 6, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '30.4', 'aut_weyl_index': 6, 'centralizer': '1.a1.a1', 'complements': ['31.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.a1.b1', '2.a1.c1'], 'contains': ['124.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1813, 1813, 2289, 2289, 2303, 2303, 3750, 3750], 'generators': [4], 'label': '124.4.4.a1.a1', 'mobius_quo': -1, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.b1', '2.a1.c1', '2.a1.a1'], 'normal_contains': ['124.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412303
{'ambient': '124.4', 'aut_centralizer_order': 30, 'aut_label': '31.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.1', 'aut_weyl_index': 30, 'centralizer': '1.a1.a1', 'complements': ['4.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['62.a1.a1', '62.a1.b1', '62.a1.c1'], 'core': '31.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8187, 8187, 6620, 6620, 7895, 7895, 6341, 6341], 'generators': [1, 62], 'label': '124.4.31.a1.a1', 'mobius_quo': 2, 'mobius_sub': -1, 'normal_closure': '31.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['62.a1.b1', '62.a1.c1', '62.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '31.a1.a1', 'projective_image': '31.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '31.1', 'quotient_action_kernel_order': 31, 'quotient_fusion': None, 'short_label': '31.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412304
{'ambient': '124.4', 'aut_centralizer_order': 60, 'aut_label': '62.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 180, 'centralizer': '1.a1.a1', 'complements': ['2.a1.b1', '2.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '31.a1.a1'], 'contains': ['124.a1.a1'], 'core': '62.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5077, 5077, 6233, 6233, 7566, 7566, 6189, 6189], 'generators': [62], 'label': '124.4.62.a1.a1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '62.a1.a1', 'normal_contained_in': ['2.a1.a1', '31.a1.a1'], 'normal_contains': ['124.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '62.a1.a1', 'projective_image': '62.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '62.2', 'quotient_action_kernel_order': 62, 'quotient_fusion': None, 'short_label': '62.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412305
{'ambient': '124.4', 'aut_centralizer_order': 60, 'aut_label': '62.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 180, 'centralizer': '1.a1.a1', 'complements': ['2.a1.a1', '2.a1.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.b1', '31.a1.a1'], 'contains': ['124.a1.a1'], 'core': '62.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5077, 5077, 8768, 8768, 7566, 7566, 8384, 8384], 'generators': [1], 'label': '124.4.62.a1.b1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '62.a1.b1', 'normal_contained_in': ['2.a1.b1', '31.a1.a1'], 'normal_contains': ['124.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '62.a1.b1', 'projective_image': '62.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '62.2', 'quotient_action_kernel_order': 62, 'quotient_fusion': None, 'short_label': '62.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
id: 7412306
{'ambient': '124.4', 'aut_centralizer_order': 60, 'aut_label': '62.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '1.1', 'aut_weyl_index': 180, 'centralizer': '1.a1.a1', 'complements': ['2.a1.a1', '2.a1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.c1', '31.a1.a1'], 'contains': ['124.a1.a1'], 'core': '62.a1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5077, 5077, 3697, 3697, 7566, 7566, 1311, 1311], 'generators': [63], 'label': '124.4.62.a1.c1', 'mobius_quo': -1, 'mobius_sub': 1, 'normal_closure': '62.a1.c1', 'normal_contained_in': ['2.a1.c1', '31.a1.a1'], 'normal_contains': ['124.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '62.a1.c1', 'projective_image': '62.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '62.2', 'quotient_action_kernel_order': 62, 'quotient_fusion': None, 'short_label': '62.a1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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