Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 1, 'aut_exponent': 168, 'aut_gen_orders': [3, 6, 2], 'aut_gens': [[37775979, 16557943, 28836015, 23068812], [34667951, 12011265, 28836015, 23068812], [8433117, 31990510, 28836015, 23068812], [8433117, 16104896, 17301609, 11534406]], 'aut_group': '672.1254', 'aut_hash': 1254, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 672, 'aut_permdeg': 23, 'aut_perms': [29639200568168725720, 45505716705368696763, 1168000509757148661787], 'aut_phi_ratio': 2.3333333333333335, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 21, 1, 2], [3, 1, 2, 1], [3, 56, 1, 1], [3, 56, 2, 1], [4, 42, 1, 2], [6, 1, 2, 1], [6, 21, 2, 2], [6, 56, 1, 1], [6, 56, 2, 1], [7, 24, 2, 1], [12, 42, 2, 2], [14, 24, 2, 1], [21, 24, 4, 1], [42, 24, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2\\times \\PGL(2,7)', 'autcent_abelian': True, 'autcent_cyclic': True, 'autcent_exponent': 2, 'autcent_group': '2.1', 'autcent_hash': 1, 'autcent_nilpotent': True, 'autcent_order': 2, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 168, 'autcentquo_group': '336.208', 'autcentquo_hash': 208, 'autcentquo_nilpotent': False, 'autcentquo_order': 336, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': '\\PGL(2,7)', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 21, 2], [3, 1, 2], [3, 56, 3], [4, 42, 2], [6, 1, 2], [6, 21, 4], [6, 56, 3], [7, 24, 2], [12, 42, 4], [14, 24, 2], [21, 24, 4], [42, 24, 4]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '168.42', 'commutator_count': 1, 'commutator_label': '168.42', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '3.1', '168.42'], 'composition_length': 3, 'conjugacy_classes_known': True, 'counter': 884, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['168.42', 1], ['2.1', 1], ['3.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 21, 1, 2], [3, 1, 2, 1], [3, 56, 1, 1], [3, 56, 2, 1], [4, 42, 1, 2], [6, 1, 2, 1], [6, 21, 2, 2], [6, 56, 1, 1], [6, 56, 2, 1], [7, 24, 2, 1], [12, 42, 2, 2], [14, 24, 2, 1], [21, 24, 4, 1], [42, 24, 4, 1]], 'element_repr_type': 'GLFp', 'elementary': 1, 'eulerian_function': 684, 'exponent': 84, 'exponents_of_order': [4, 2, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [[3, 0, 4], [6, 0, 2], [7, 0, 2], [8, 0, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1008.884', 'hash': 884, 'hyperelementary': 1, 'id': 136241, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 84, 'inner_gen_orders': [2, 4, 1, 1], 'inner_gens': [[37775979, 4420590, 28836015, 23068812], [33820660, 16557943, 28836015, 23068812], [37775979, 16557943, 28836015, 23068812], [37775979, 16557943, 28836015, 23068812]], 'inner_hash': 42, 'inner_nilpotent': False, 'inner_order': 168, 'inner_split': True, 'inner_tex': '\\PSL(2,7)', 'inner_used': [1, 2], 'irrC_degree': 3, 'irrQ_degree': 12, 'irrQ_dim': 12, 'irrR_degree': 6, 'irrep_stats': [[1, 6], [3, 12], [6, 6], [7, 6], [8, 6]], 'label': '1008.884', 'linC_count': 4, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 8, 'linQ_degree_count': 6, 'linQ_dim': 8, 'linQ_dim_count': 6, 'linR_count': 2, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C6*GL(3,2)', 'ngens': 4, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 8, 'number_conjugacy_classes': 36, 'number_divisions': 20, 'number_normal_subgroups': 8, 'number_subgroup_autclasses': 68, 'number_subgroup_classes': 90, 'number_subgroups': 1294, 'old_label': None, 'order': 1008, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 43], [3, 170], [4, 84], [6, 254], [7, 48], [12, 168], [14, 48], [21, 96], [42, 96]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [29185485, 5767203], 'outer_gens': [[34667951, 38408851, 28836015, 23068812], [37775979, 16557943, 17301609, 11534406]], 'outer_group': '4.2', 'outer_hash': 2, 'outer_nilpotent': True, 'outer_order': 4, 'outer_permdeg': 4, 'outer_perms': [1, 6], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^2', 'pc_rank': None, 'perfect': False, 'permutation_degree': 12, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 2], [6, 4], [7, 2], [8, 2], [12, 4], [14, 2], [16, 2]], 'representations': {'GLFp': {'d': 3, 'p': 7, 'gens': [37775979, 16557943, 28836015, 23068812]}, 'Perm': {'d': 12, 'gens': [39957150, 3997441]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_6\\times \\GL(3,2)', 'transitive_degree': 42, 'wreath_data': None, 'wreath_product': False}