Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [6, 6, 2, 4, 12, 6], 'aut_gens': [[268257039121, 1589822448600, 2966657662207, 37888704736, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960], [1334712561966, 6920311915560, 3053889298087, 561681268696, 11072377088760, 10985224281240, 4483749999000, 4483749999007, 4047851003160, 4483546421760], [12439495610761, 8202479454000, 3053889298080, 4016432045536, 442797834960, 2711396620920, 4483749999000, 7, 530066805960, 4047851003160], [704274414601, 8551638234840, 3053849379967, 561477692903, 10897856161920, 442797834960, 4483749999000, 7, 4483546421760, 530066805960], [5633060001841, 13098902641200, 11004318299647, 38132237663, 2979205328280, 3153482762400, 4483749999000, 4483749999007, 4483546421760, 4047851003160], [8496301808161, 9976378784520, 2966697580320, 4458590802016, 3153482762400, 2979205328280, 4483749999000, 4483749999007, 4047851003160, 4483546421760], [9447163857486, 2119631240880, 2966697580327, 38132237656, 2711396620920, 10897856161920, 4483749999000, 7, 4047851003160, 4483546421760]], 'aut_group': None, 'aut_hash': 8543985317884064529, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 24576, 'aut_permdeg': 100, 'aut_perms': [63346267277726520348576192644630348333480665047406343884637776663356092221479807858781138443519933878388210530938969350992338964567602524636604235109673768918, 48173989779663009318707874429158318391931087551699441391953641404471701515550138144626700206520868036410607756179588229637808059871375229549683769490063896816, 8910404947129331747456334806646461184604820124983632404475675258867521080325063328208392717046391538907362015465787449068993718379363367938450189692453237323, 53460717431590680395750003481525113091994643923921565179626634483535868793172357094305925714009676995447614612704613115883792290774683506060883744197149689562, 24736960366149113852190033434079251212676042072621415785308208346180068252504056778994046774911908465230572604098129173968602171251062123073147671715568963601, 33053897548228864298633182870808573066831572913073002246388751298932637806010470578779357977543482219773842771496482564424277778309131298727558249436948093465], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 3, 1, 2], [2, 3, 2, 1], [2, 8, 2, 1], [2, 16, 1, 1], [2, 24, 2, 1], [2, 24, 4, 1], [2, 48, 1, 1], [3, 32, 1, 1], [4, 4, 1, 1], [4, 6, 2, 4], [4, 12, 1, 1], [4, 12, 4, 1], [4, 24, 4, 1], [4, 48, 2, 2], [6, 32, 1, 1], [6, 32, 2, 1], [6, 64, 2, 2], [8, 48, 4, 2], [12, 64, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_4^2:C_3.C_2^6.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '384.5677', 'autcentquo_hash': 5677, 'autcentquo_nilpotent': False, 'autcentquo_order': 384, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2^2.\\GL(2,\\mathbb{Z}/4)', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 3, 4], [2, 8, 2], [2, 16, 1], [2, 24, 6], [2, 48, 1], [3, 32, 1], [4, 4, 1], [4, 6, 8], [4, 12, 5], [4, 24, 4], [4, 48, 4], [6, 32, 3], [6, 64, 4], [8, 48, 8], [12, 64, 2]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '384.17949', 'commutator_count': 1, 'commutator_label': '192.992', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 408560389, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 3, 1, 4], [2, 8, 1, 2], [2, 16, 1, 1], [2, 24, 1, 6], [2, 48, 1, 1], [3, 32, 1, 1], [4, 4, 1, 1], [4, 6, 1, 8], [4, 12, 1, 5], [4, 24, 1, 4], [4, 48, 1, 4], [6, 32, 1, 3], [6, 64, 1, 2], [6, 64, 2, 1], [8, 48, 1, 8], [12, 64, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 40320, 'exponent': 24, 'exponents_of_order': [9, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.14', 'frattini_quotient': '96.226', 'hash': 408560389, 'hyperelementary': 1, 'id': 29057, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 3, 2, 2, 4, 4, 1, 1, 2, 2], 'inner_gens': [[268257039121, 5278120097040, 2966657662207, 37888704743, 2711396620920, 442797834960, 4483749999000, 7, 4047851003160, 530066805960], [5365305000841, 1589822448600, 2966657662207, 37888704736, 355669619880, 10548780884640, 4483749999000, 7, 530066805960, 4047851003160], [268257039121, 1589822448600, 2966657662207, 4458834299656, 10897856161920, 442797834960, 4483749999000, 7, 4483546421760, 530066805960], [268257039126, 1589822448600, 11004358217767, 37888704736, 10897856161920, 442797834960, 4483749999000, 7, 4483546421760, 530066805960], [704274414601, 9889050619440, 11004318299647, 4458590802016, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960], [878672245801, 7450015432320, 3053889298087, 561681268696, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960], [268257039121, 1589822448600, 2966657662207, 37888704736, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960], [268257039121, 1589822448600, 2966657662207, 37888704736, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960], [878672245801, 2206863884280, 2966657662207, 37888704736, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960], [268257039121, 9534143819640, 2966657662207, 37888704736, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960]], 'inner_hash': 17949, 'inner_nilpotent': False, 'inner_order': 384, 'inner_split': False, 'inner_tex': 'C_2^4.S_4', 'inner_used': [1, 2, 3, 4, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 14], [3, 8], [4, 2], [6, 22], [12, 4]], 'label': '1536.408560389', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C2^4.GL(2,Z/4)', 'ngens': 10, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 29, 'number_characteristic_subgroups': 28, 'number_conjugacy_classes': 58, 'number_divisions': 56, 'number_normal_subgroups': 54, 'number_subgroup_autclasses': 1051, 'number_subgroup_classes': 2913, 'number_subgroups': 31362, 'old_label': None, 'order': 1536, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 239], [3, 32], [4, 400], [6, 352], [8, 384], [12, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4], 'outer_gen_pows': [530066805960, 0, 530066805960, 0, 0], 'outer_gens': [[4221936230401, 5539871974440, 2966657662207, 37888704736, 2711396620920, 442797834960, 4483749999000, 7, 4047851003160, 530066805960], [268257039121, 1589822448600, 11004358217767, 37888704736, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960], [4221936230401, 5539871974440, 11004358217760, 37888704736, 2711396620920, 442797834960, 4483749999000, 7, 4047851003160, 530066805960], [268257039121, 1589822448600, 2966657662207, 37888704736, 10897856161920, 442797834960, 4483749999000, 7, 4483546421760, 530066805960], [11265820958881, 1589822448600, 2966657662207, 37888704736, 10985224281240, 4396517355000, 4483749999000, 4483749999007, 4483546421760, 530066805960]], 'outer_group': '64.202', 'outer_hash': 202, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 10, 'outer_perms': [16, 806407, 127, 7, 811446], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3:D_4', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 10], [3, 8], [4, 4], [6, 22], [12, 4]], 'representations': {'PC': {'code': '136266102602203934851756885009695414584187245274584286028959403773670019136', 'gens': [1, 2, 3, 5, 7, 9], 'pres': [10, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 662, 82, 643, 1304, 924, 144, 47046, 6746, 5916, 206, 76807, 15387, 9637, 15148, 3278, 268, 24029, 2439]}, 'Perm': {'d': 16, 'gens': [268257039121, 1589822448600, 2966657662207, 37888704736, 3066173470080, 355669619880, 4483749999000, 7, 4483546421760, 530066805960]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^4.\\GL(2,\\mathbb{Z}/4)', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}