Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 12, 'aut_gen_orders': [12, 4, 12, 12, 12, 12, 4, 4], 'aut_gens': [[1, 2, 24, 288, 3456], [8273, 1371, 7712, 5616, 3456], [5497, 7971, 304, 5976, 2304], [8001, 3755, 2176, 9864, 1152], [425, 4226, 4416, 4824, 1152], [8385, 8642, 6096, 7560, 2304], [7281, 4175, 7360, 9864, 2304], [5689, 3231, 5632, 8856, 1152], [1777, 2067, 3688, 3168, 3456]], 'aut_group': '20000.bi', 'aut_hash': 8564989553364120192, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 331776, 'aut_permdeg': 312, 'aut_perms': 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1], [6, 4, 1, 5], [6, 4, 2, 2], [6, 8, 1, 1], [6, 8, 2, 9], [6, 8, 4, 1], [6, 16, 1, 3], [6, 16, 2, 3], [6, 16, 4, 3], [6, 48, 1, 1], [6, 48, 2, 2], [6, 48, 4, 2], [6, 72, 2, 1], [6, 144, 1, 3], [6, 432, 1, 1], [12, 24, 2, 1], [12, 24, 4, 2], [12, 48, 4, 2], [12, 72, 2, 3], [12, 144, 1, 1], [12, 144, 4, 2], [12, 144, 8, 1], [12, 216, 2, 1], [12, 432, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_5^4:Q_{16}:C_2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '8.5', 'autcent_hash': 5, 'autcent_nilpotent': True, 'autcent_order': 8, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 12, 'autcentquo_group': None, 'autcentquo_hash': 172823512362682900, 'autcentquo_nilpotent': False, 'autcentquo_order': 41472, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4.C_2^5.C_2^4', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 1], [2, 4, 1], [2, 24, 1], [2, 36, 2], [2, 81, 2], [2, 162, 1], [2, 216, 1], [2, 324, 1], [3, 2, 2], [3, 4, 3], [3, 8, 6], [3, 16, 1], [4, 12, 2], [4, 36, 2], [4, 72, 4], [4, 108, 2], [4, 216, 4], [6, 2, 2], [6, 4, 9], [6, 8, 23], [6, 16, 21], [6, 48, 13], [6, 72, 2], [6, 144, 3], [6, 432, 1], [12, 24, 10], [12, 48, 8], [12, 72, 6], [12, 144, 17], [12, 216, 2], [12, 432, 4]], 'center_label': '2.1', 'center_order': 2, 'central_product': False, 'central_quotient': None, 'commutator_count': 1, 'commutator_label': '648.687', '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', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 11, 'conjugacy_classes_known': True, 'counter': 86, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 1], [2, 4, 1, 1], [2, 24, 1, 1], [2, 36, 1, 2], [2, 81, 1, 2], [2, 162, 1, 1], [2, 216, 1, 1], [2, 324, 1, 1], [3, 2, 1, 2], [3, 4, 1, 3], [3, 8, 1, 6], [3, 16, 1, 1], [4, 12, 1, 2], [4, 36, 1, 2], [4, 72, 2, 2], [4, 108, 1, 2], [4, 216, 2, 2], [6, 2, 1, 2], [6, 4, 1, 9], [6, 8, 1, 23], [6, 16, 1, 21], [6, 48, 1, 13], [6, 72, 1, 2], [6, 144, 1, 3], [6, 432, 1, 1], [12, 24, 1, 10], [12, 48, 1, 8], [12, 72, 1, 6], [12, 144, 1, 1], [12, 144, 2, 8], [12, 216, 1, 2], [12, 432, 2, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 860160, 'exponent': 12, 'exponents_of_order': [7, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [[8, 1, 8], [16, 1, 6]], 'familial': False, 'frattini_label': '8.5', 'frattini_quotient': '1296.3528', 'hash': 2306039712164322987, 'hyperelementary': 1, 'id': 325797, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 12, 12, 12, 3], 'inner_gens': [[1, 10210, 264, 8928, 6912], [2777, 2, 6240, 3528, 1152], [49, 4442, 24, 1440, 3456], [5185, 3962, 2328, 288, 6912], [6913, 5762, 24, 7200, 3456]], 'inner_hash': 4181401253521402272, 'inner_nilpotent': False, 'inner_order': 5184, 'inner_split': None, 'inner_tex': 'C_3^4.C_2^3.C_2^3', 'inner_used': [1, 2, 3], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 16], [2, 20], [4, 34], [8, 68], [16, 21]], 'label': '10368.dh', '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': None, 'name': 'C6^3.(S3*D4)', 'ngens': 11, '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, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 77, 'number_characteristic_subgroups': 55, 'number_conjugacy_classes': 159, 'number_divisions': 145, 'number_normal_subgroups': 99, 'number_subgroup_autclasses': 2961, 'number_subgroup_classes': 7153, 'number_subgroups': 305312, 'old_label': None, 'order': 10368, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 967], [3, 80], [4, 1464], [6, 2192], [12, 5664]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 4], 'outer_gen_pows': [3456, 192, 2976, 7193, 2304], 'outer_gens': [[3601, 4462, 1992, 5040, 3456], [193, 5738, 1752, 7344, 6912], [1969, 2774, 2904, 9072, 6912], [4345, 3767, 6776, 7704, 1152], [5961, 10295, 5272, 5616, 6912]], 'outer_group': '64.261', 'outer_hash': 261, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 32, 'outer_perms': [38378742594115524206056107685462583, 110420779799816455790728984786676394, 233306836329501706920963858351727776, 237091132333370412653725646943148656, 144610005871130851138627370823111176], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4\\times C_2^3', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 16], [4, 34], [8, 62], [16, 25]], 'representations': {'PC': {'code': '2079050407758014480583833667949348320049665172506301647639661603986442562494789928127290341535560483309876732161887005400514114421108883', 'gens': [1, 2, 5, 8, 11], 'pres': [11, 2, 2, 2, 3, 2, 2, 3, 2, 2, 3, 3, 224621, 56, 43430, 90, 102083, 14524, 171615, 18176, 16042, 158, 15845, 60208, 192, 14790, 7409, 785671, 155250, 120413, 79240, 5331, 260, 349291, 11932, 294, 190100, 10613, 836362, 69717, 2991]}, 'Perm': {'d': 20, 'gens': [244357275560799145, 134451162204803282, 19583737563076802]}}, 'schur_multiplier': [2, 2, 2, 4], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 17, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_6^3.(S_3\\times D_4)', 'transitive_degree': 24, 'wreath_data': None, 'wreath_product': False}