Query:
/api/gps_groups/?_offset=0
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 120, 'aut_gen_orders': [8, 4, 8, 8], 'aut_gens': [[1, 2, 12, 120], [1201, 1210, 732, 1088], [609, 180, 366, 100], [9, 1302, 1524, 968], [5, 658, 1188, 968]], 'aut_group': None, 'aut_hash': 2436627162132881625, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 345600, 'aut_permdeg': 19, 'aut_perms': [99990242005936734, 110444369050470921, 64714437639596980, 91897105627547990], 'aut_phi_ratio': 720.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 5, 2, 1], [2, 9, 1, 1], [2, 25, 1, 1], [2, 45, 2, 1], [2, 225, 1, 1], [3, 2, 4, 1], [5, 2, 4, 1], [5, 4, 4, 1], [6, 10, 8, 1], [6, 50, 4, 1], [10, 10, 4, 1], [10, 18, 4, 1], [10, 36, 4, 1], [10, 90, 4, 1], [15, 4, 16, 1], [15, 8, 16, 1], [30, 20, 16, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3:S_3.C_{10}^2.C_{12}.C_2.C_2^3', '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': 120, 'autcentquo_group': None, 'autcentquo_hash': 2436627162132881625, 'autcentquo_nilpotent': False, 'autcentquo_order': 345600, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3:S_3.C_{10}^2.C_{12}.C_2.C_2^3', 'cc_stats': [[1, 1, 1], [2, 5, 2], [2, 9, 1], [2, 25, 1], [2, 45, 2], [2, 225, 1], [3, 2, 4], [5, 2, 4], [5, 4, 4], [6, 10, 8], [6, 50, 4], [10, 10, 4], [10, 18, 4], [10, 36, 4], [10, 90, 4], [15, 4, 16], [15, 8, 16], [30, 20, 16]], 'center_label': '1.1', 'center_order': 1, 'central_product': True, 'central_quotient': '1800.675', 'commutator_count': 1, 'commutator_label': '225.6', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '3.1', '3.1', '5.1', '5.1'], 'composition_length': 7, 'conjugacy_classes_known': True, 'counter': 675, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['10.1', 2], ['18.4', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 5, 1, 2], [2, 9, 1, 1], [2, 25, 1, 1], [2, 45, 1, 2], [2, 225, 1, 1], [3, 2, 1, 4], [5, 2, 2, 2], [5, 4, 2, 2], [6, 10, 1, 8], [6, 50, 1, 4], [10, 10, 2, 2], [10, 18, 2, 2], [10, 36, 2, 2], [10, 90, 2, 2], [15, 4, 2, 8], [15, 8, 2, 8], [30, 20, 2, 8]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3024, 'exponent': 30, 'exponents_of_order': [3, 2, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1800.675', 'hash': 675, 'hyperelementary': 1, 'id': 267366, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 30, 'inner_gen_orders': [2, 6, 10, 15], 'inner_gens': [[1, 10, 12, 1320], [5, 2, 108, 120], [1, 26, 12, 480], [601, 2, 1452, 120]], 'inner_hash': 675, 'inner_nilpotent': False, 'inner_order': 1800, 'inner_split': False, 'inner_tex': 'C_{15}^2:C_2^3', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 8], [2, 32], [4, 40], [8, 16]], 'label': '1800.675', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C15^2:C2^3', 'ngens': 7, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 18, 'number_characteristic_subgroups': 14, 'number_conjugacy_classes': 96, 'number_divisions': 60, 'number_normal_subgroups': 78, 'number_subgroup_autclasses': 135, 'number_subgroup_classes': 444, 'number_subgroups': 7608, 'old_label': None, 'order': 1800, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 359], [3, 8], [5, 24], [6, 280], [10, 616], [15, 192], [30, 320]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 12, 'outer_gen_orders': [2, 2, 2, 2, 3, 2, 2], 'outer_gen_pows': [662, 66, 64, 70, 6, 1, 1], 'outer_gens': [[1201, 606, 36, 1444], [1, 68, 726, 1248], [5, 2, 12, 1560], [5, 2, 84, 1560], [1, 1206, 108, 1324], [1, 1210, 12, 128], [1, 610, 12, 124]], 'outer_group': '192.1472', 'outer_hash': 1472, 'outer_nilpotent': False, 'outer_order': 192, 'outer_permdeg': 8, 'outer_perms': [120, 2, 7, 23, 1440, 16680, 11520], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'D_4\\times S_4', 'pc_rank': 4, '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, 16], [4, 8], [8, 20], [16, 8]], 'representations': {'PC': {'code': 1308838471693242058831892212256975158411575, 'gens': [1, 2, 4, 6], 'pres': [7, -2, -2, -3, -2, -5, -3, -5, 141, 36, 170, 1522, 80, 1691, 55445, 1706, 166, 5907]}, 'Perm': {'d': 16, 'gens': [1334222754480, 1322535432960, 25, 147, 243, 2891424659760, 4305917024640]}}, 'schur_multiplier': [2, 2, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{15}^2:C_2^3', 'transitive_degree': 90, 'wreath_data': None, 'wreath_product': False}