Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 36, 'aut_gen_orders': [12, 18, 18, 6], 'aut_gens': [[436278892515018047253209783, 16834366075051371869977862], [3805509313038068600424015220, 7035632049631159342731834756], [3863853891756618095122012575, 4236486230247777552872937418], [6938849098300006034486974886, 4458030914032907975522342767], [5017934005322286092766985191, 5895851624030837065163289363]], 'aut_group': '2880.dt', 'aut_hash': 367732542311087603, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 25509168, 'aut_permdeg': 486, 'aut_perms': 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'aut_phi_ratio': 2916.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 243, 2, 1], [2, 729, 1, 1], [3, 2, 1, 1], [3, 2, 2, 1], [3, 4, 1, 1], [3, 4, 2, 2], [3, 6, 6, 1], [3, 6, 18, 1], [3, 12, 3, 1], [3, 12, 6, 2], [3, 12, 18, 2], [3, 12, 27, 1], [3, 12, 36, 1], [3, 12, 54, 1], [6, 486, 2, 1], [6, 486, 6, 1], [6, 486, 18, 1], [6, 1458, 1, 1], [9, 162, 3, 1], [9, 324, 6, 2], [18, 1458, 3, 1]], 'aut_supersolvable': False, 'aut_tex': '\\GL(2,4):C_2^4', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 1, 'autcent_group': '1.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 1, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_1', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 36, 'autcentquo_group': None, 'autcentquo_hash': 367732542311087603, 'autcentquo_nilpotent': False, 'autcentquo_order': 25509168, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^5.C_3^4.C_3.C_6.C_6^2.C_2', 'cc_stats': [[1, 1, 1], [2, 243, 2], [2, 729, 1], [3, 2, 3], [3, 4, 5], [3, 6, 24], [3, 12, 168], [6, 486, 26], [6, 1458, 1], [9, 162, 3], [9, 324, 12], [18, 1458, 3]], 'center_label': '1.1', 'center_order': 1, 'central_product': None, 'central_quotient': '26244.hm', 'commutator_count': 1, 'commutator_label': '6561.86251', 'complements_known': False, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 195, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 243, 1, 2], [2, 729, 1, 1], [3, 2, 1, 3], [3, 4, 1, 3], [3, 4, 2, 1], [3, 6, 1, 24], [3, 12, 1, 72], [3, 12, 2, 48], [6, 486, 1, 26], [6, 1458, 1, 1], [9, 162, 3, 1], [9, 324, 3, 2], [9, 324, 6, 1], [18, 1458, 3, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 18, 'exponents_of_order': [8, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[12, 0, 54]], 'familial': False, 'frattini_label': '243.67', 'frattini_quotient': '108.40', 'hash': 2006197489004393808, 'hyperelementary': 1, 'id': 411499, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 18, 'inner_gen_orders': [6, 6], 'inner_gens': [[436278892515018047253209783, 4460512607897598351730194511], [1027004538665898431977465975, 16834366075051371869977862]], 'inner_hash': 2006197489004393808, 'inner_nilpotent': False, 'inner_order': 26244, 'inner_split': True, 'inner_tex': 'C_3^6.D_{18}', 'inner_used': [1, 2], 'irrC_degree': 12, 'irrQ_degree': 24, 'irrQ_dim': 24, 'irrR_degree': 24, 'irrep_stats': [[1, 4], [2, 12], [4, 17], [6, 48], [12, 168]], 'label': '26244.hm', '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': 'C3^6.D18', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 3, 0, 0, 9, 0, 0, 15, 0, 0, 15, 0, 0, 9, 0, 0, 4, 0, 1, 3, 0, 3, 1, 0, 3, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 26, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 249, 'number_divisions': 187, 'number_normal_subgroups': 68, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 26244, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 1215], [3, 2186], [6, 14094], [9, 4374], [18, 4374]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [3, 6, 6, 3, 3], 'outer_gen_pows': [0, 0, 0, 0, 0], 'outer_gens': [[2921798408480607380549332073, 2563152611795460447631904181], [3883091217581296573895184610, 4238347677610337751047482375], [5880338475091958835383506179, 6942572659811682014084541446], [2876476551100464265993102733, 2530893586315054740222797231], [1619994360720748978804813673, 1319080564299162577531001781]], 'outer_group': '972.781', 'outer_hash': 781, 'outer_nilpotent': False, 'outer_order': 972, 'outer_permdeg': 15, 'outer_perms': [244, 6434310963, 482435175600, 120839040, 93525793200], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_3^4:D_6', 'pc_rank': None, 'perfect': False, 'permutation_degree': 27, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 6], [4, 3], [6, 50], [8, 1], [12, 74], [24, 49]], 'representations': {'PC': {'code': '215164389125029811880278669251022635585590035197102185425387222481461395164730652055730268993090398715751063274709851391', 'gens': [1, 2, 5, 6, 7, 8, 9, 10], 'pres': [10, -2, -2, -3, -3, -3, 3, 3, 3, 3, 3, 121680, 341241, 51, 196442, 112, 963, 30604, 15314, 3174, 25925, 16215, 6505, 45366, 22696, 155527, 272177, 123147, 495728, 72918, 160408, 997209, 1013419, 315029]}, 'Perm': {'d': 27, 'gens': [436278892515018047253209783, 16834366075051371869977862]}}, 'schur_multiplier': [6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 10, 'solvable': True, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 36, 'supersolvable': True, 'sylow_subgroups_known': False, 'tex_name': 'C_3^6.D_{18}', 'transitive_degree': 36, 'wreath_data': None, 'wreath_product': False}