Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '24.9', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 6, 'aut_gen_orders': [2, 2, 2, 2, 2, 6], 'aut_gens': [[1, 2, 12], [7, 2, 12], [79, 2, 12], [7, 2, 18], [7, 2, 84], [1, 2, 60], [49, 10, 12]], 'aut_group': '192.1542', 'aut_hash': 1542, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 192, 'aut_permdeg': 13, 'aut_perms': [482671441, 1520598960, 482630400, 1520467200, 1520508246, 41070], 'aut_phi_ratio': 4.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 6, 2, 1], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 2, 2, 1], [4, 6, 2, 1], [6, 1, 2, 3], [6, 2, 1, 3], [6, 2, 2, 3], [6, 6, 4, 1], [12, 2, 4, 2], [12, 2, 8, 1], [12, 6, 4, 1]], 'aut_supersolvable': True, 'aut_tex': 'D_6\\times C_2^4', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '32.51', 'autcent_hash': 51, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^5', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 6, 'autcentquo_group': '6.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': False, 'autcentquo_order': 6, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'S_3', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 6, 2], [3, 1, 2], [3, 2, 3], [4, 2, 2], [4, 6, 2], [6, 1, 6], [6, 2, 9], [6, 6, 4], [12, 2, 16], [12, 6, 4]], 'center_label': '12.5', 'center_order': 12, 'central_product': True, 'central_quotient': '12.4', 'commutator_count': 1, 'commutator_label': '6.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 79, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['48.14', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 6, 1, 2], [3, 1, 2, 1], [3, 2, 1, 1], [3, 2, 2, 1], [4, 2, 2, 1], [4, 6, 2, 1], [6, 1, 2, 3], [6, 2, 1, 3], [6, 2, 2, 3], [6, 6, 2, 2], [12, 2, 4, 4], [12, 6, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 24, 'exponent': 12, 'exponents_of_order': [4, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '36.12', 'hash': 79, 'hyperelementary': 1, 'id': 27371, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 1, 6], 'inner_gens': [[1, 2, 66], [1, 2, 12], [103, 2, 12]], 'inner_hash': 4, 'inner_nilpotent': False, 'inner_order': 12, 'inner_split': True, 'inner_tex': 'D_6', 'inner_used': [1, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 24], [2, 30]], 'label': '144.79', 'linC_count': 128, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': 6, 'linQ_dim': 6, 'linQ_dim_count': 6, 'linR_count': 8, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'D6:C12', 'ngens': 6, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [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': 24, 'number_characteristic_subgroups': 30, 'number_conjugacy_classes': 54, 'number_divisions': 27, 'number_normal_subgroups': 34, 'number_subgroup_autclasses': 67, 'number_subgroup_classes': 76, 'number_subgroups': 168, 'old_label': None, 'order': 144, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 15], [3, 8], [4, 16], [6, 48], [12, 56]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2, 2], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[73, 2, 12], [1, 2, 18], [1, 2, 84], [1, 10, 12]], 'outer_group': '16.14', 'outer_hash': 14, 'outer_nilpotent': True, 'outer_order': 16, 'outer_permdeg': 8, 'outer_perms': [5040, 120, 6, 1], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 3], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 10], [4, 11], [8, 2]], 'representations': {'PC': {'code': 4222735476345333385, 'gens': [1, 2, 4], 'pres': [6, 2, 2, 3, 2, 2, 3, 31, 1587, 69, 3604, 88, 3461]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [125101740314276878, 91655858505663613]}, 'GLFp': {'d': 3, 'p': 13, 'gens': [2224698190, 4023401296, 6123236357, 2375083964, 7111480659, 9789111396]}, 'Perm': {'d': 14, 'gens': [6314114309, 6181, 13971242880, 13050, 17764, 20122058880]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 12], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_6:C_{12}', 'transitive_degree': 48, 'wreath_data': None, 'wreath_product': False}