Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '8.5', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 120, 'aut_gen_orders': [4, 12, 6, 12], 'aut_gens': [[1, 47992326, 87949470], [1, 255247927, 240733687], [1, 200714808, 212373528], [1, 102746569, 62961529], [1, 330233454, 336082471]], 'aut_group': '115200.bv', 'aut_hash': 96265586239778315, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 115200, 'aut_permdeg': 280, 'aut_perms': 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12060020880440239355612892833294588430860074251172825352653765799164536275930441207395343170973481815395968525655446516680587395725371401276161853346076444997944525301639554146592516335817636582774174077990729986870105413428068270619046226711009337923931894522745703462846899977831594102121504237716732310755708462457526803185368607541019014481243889500509534871766520130148903541262088046070810216052765332111972364173486302747468176148947022939816783092791956002963509928483369022931524547722343333112523471183574167241827228997060241253509227375863074536376960085], 'aut_phi_ratio': 7.5, 'aut_solvable': False, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 20, 2, 1], [2, 30, 1, 2], [2, 100, 1, 2], [2, 120, 2, 1], [2, 225, 1, 2], [2, 300, 2, 1], [3, 40, 1, 1], [3, 400, 1, 1], [4, 60, 2, 1], [4, 600, 1, 2], [4, 900, 1, 2], [4, 900, 2, 1], [4, 1200, 2, 1], [4, 1800, 2, 1], [5, 48, 1, 1], [5, 576, 1, 1], [6, 40, 1, 1], [6, 40, 2, 1], [6, 400, 1, 5], [6, 400, 2, 1], [6, 600, 1, 2], [6, 600, 2, 1], [6, 800, 2, 1], [6, 2400, 2, 1], [8, 3600, 2, 1], [10, 48, 1, 1], [10, 480, 2, 1], [10, 576, 1, 1], [10, 720, 1, 2], [10, 2880, 2, 1], [12, 1200, 1, 2], [12, 1200, 2, 1], [12, 2400, 2, 1], [15, 960, 1, 1], [20, 1440, 2, 1], [30, 960, 1, 1], [30, 960, 2, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^2\\times S_5\\wr C_2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 120, 'autcentquo_group': '28800.r', 'autcentquo_hash': 1736489480735889307, 'autcentquo_nilpotent': False, 'autcentquo_order': 28800, 'autcentquo_solvable': False, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'S_5\\wr C_2', 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 20, 2], [2, 30, 2], [2, 100, 2], [2, 120, 2], [2, 225, 2], [2, 300, 2], [3, 40, 1], [3, 400, 1], [4, 60, 2], [4, 600, 2], [4, 900, 4], [4, 1200, 2], [4, 1800, 2], [5, 48, 1], [5, 576, 1], [6, 40, 3], [6, 400, 7], [6, 600, 4], [6, 800, 2], [6, 2400, 2], [8, 3600, 2], [10, 48, 1], [10, 480, 2], [10, 576, 1], [10, 720, 2], [10, 2880, 2], [12, 1200, 4], [12, 2400, 2], [15, 960, 1], [20, 1440, 2], [30, 960, 3]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '28800.r', 'commutator_count': 1, 'commutator_label': '7200.d', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '60.5', '60.5'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 12, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['28800.r', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 20, 1, 2], [2, 30, 1, 2], [2, 100, 1, 2], [2, 120, 1, 2], [2, 225, 1, 2], [2, 300, 1, 2], [3, 40, 1, 1], [3, 400, 1, 1], [4, 60, 1, 2], [4, 600, 1, 2], [4, 900, 1, 4], [4, 1200, 1, 2], [4, 1800, 1, 2], [5, 48, 1, 1], [5, 576, 1, 1], [6, 40, 1, 3], [6, 400, 1, 7], [6, 600, 1, 4], [6, 800, 1, 2], [6, 2400, 1, 2], [8, 3600, 1, 2], [10, 48, 1, 1], [10, 480, 1, 2], [10, 576, 1, 1], [10, 720, 1, 2], [10, 2880, 1, 2], [12, 1200, 1, 4], [12, 2400, 1, 2], [15, 960, 1, 1], [20, 1440, 1, 2], [30, 960, 1, 3]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 542979360, 'exponent': 120, 'exponents_of_order': [8, 2, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[8, 1, 4], [10, 1, 4], [12, 1, 2], [16, 1, 4], [25, 1, 4], [32, 1, 1], [36, 1, 2], [40, 1, 4], [48, 1, 2], [50, 1, 1], [60, 1, 2]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '57600.l', 'hash': 3328040073188890159, 'hyperelementary': 1, 'id': 156379, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 120, 'inner_gen_orders': [1, 8, 10], 'inner_gens': [[1, 47992326, 87949470], [1, 47992326, 53479680], [1, 109766454, 87949470]], 'inner_hash': 1736489480735889307, 'inner_nilpotent': False, 'inner_order': 28800, 'inner_split': True, 'inner_tex': 'S_5\\wr C_2', 'inner_used': [2, 3], 'irrC_degree': 8, 'irrQ_degree': 8, 'irrQ_dim': 8, 'irrR_degree': 8, 'irrep_stats': [[1, 8], [2, 2], [8, 8], [10, 8], [12, 4], [16, 8], [25, 8], [32, 2], [36, 4], [40, 8], [48, 4], [50, 2], [60, 4]], 'label': '57600.l', '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': False, 'name': 'S5^2:C2^2', 'ngens': 3, '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, 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, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 51, 'number_characteristic_subgroups': 11, 'number_conjugacy_classes': 70, 'number_divisions': 70, 'number_normal_subgroups': 21, 'number_subgroup_autclasses': 1829, 'number_subgroup_classes': 2688, 'number_subgroups': 846009, 'old_label': None, 'order': 57600, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 1591], [3, 440], [4, 10920], [5, 624], [6, 11720], [8, 7200], [10, 8784], [12, 9600], [15, 960], [20, 2880], [30, 2880]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 2, 'outer_gen_orders': [2, 2], 'outer_gen_pows': [0, 0], 'outer_gens': [[1, 47992326, 87949471], [1, 47992327, 87949470]], '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, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 2], [8, 8], [10, 8], [12, 4], [16, 8], [25, 8], [32, 2], [36, 4], [40, 8], [48, 4], [50, 2], [60, 4]], 'representations': {'Perm': {'d': 12, 'gens': [1, 47992326, 87949470]}}, 'schur_multiplier': [2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'S_5^2:C_2^2', 'transitive_degree': 20, 'wreath_data': None, 'wreath_product': False}