Query:
/api/gps_groups/?_offset=0
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '4.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 60, 'aut_gen_orders': [10, 10, 10, 4, 12, 4], 'aut_gens': [[1, 2, 24, 120], [1101, 1534, 1512, 864], [1481, 454, 1104, 480], [13, 446, 1512, 864], [733, 742, 816, 1392], [1093, 334, 1104, 528], [17, 154, 48, 240]], 'aut_group': None, 'aut_hash': 8917715223066415996, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 14400, 'aut_permdeg': 120, 'aut_perms': [1526123090067057620940022205465378125512354878194936948729444689588650631419754395996998064366615659206655222231351433578284103174514203105512966814265842791547555766830240416181658322980470112261955, 2613057115881457647169160431929779444952306929410126588589273024969635181410530987236230950799939196454575192823884797567648538988270760373338624194504692110836870608943386166697816069402730018772054, 1381837434761462577449992108870525263648504661427436736470243907156297086160564290773506897967553428699462574764344253565122812531965449308641453916239246418586846906383733658687934609609648085962056, 6509881664986768027201856309022214734955396189443231051393208086474496241547187319548597866904746516482639411962187916555814385110826219387641117238334135818018555990004515627470561811206376876094297, 5516198179576673533612713664287008468854103810460743799130103027991022603767871492412935237473859611463049040797544776385197912328205710040588906918356102132133848213972615711900337499434231643514538, 5413942631525570768545420340569569099367676279293582230290510095547640173349051332865715661650173905602543895077413776128105158088136139576014267735998848556808732380212396433334071631984675174689490], 'aut_phi_ratio': 30.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 25, 1, 1], [2, 30, 1, 1], [2, 90, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [4, 150, 1, 1], [5, 4, 2, 2], [5, 8, 1, 1], [6, 30, 2, 1], [6, 50, 1, 2], [6, 100, 1, 1], [10, 60, 2, 1], [10, 180, 2, 1], [12, 150, 2, 1], [15, 4, 4, 1], [15, 8, 2, 5], [15, 8, 4, 3], [30, 60, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_5^2.C_6^2.C_2^4', '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': 60, 'autcentquo_group': None, 'autcentquo_hash': 8917715223066415996, 'autcentquo_nilpotent': False, 'autcentquo_order': 14400, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_5^2.C_6^2.C_2^4', 'cc_stats': [[1, 1, 1], [2, 25, 1], [2, 30, 1], [2, 90, 1], [3, 2, 2], [3, 4, 1], [4, 150, 1], [5, 4, 4], [5, 8, 1], [6, 30, 2], [6, 50, 2], [6, 100, 1], [10, 60, 2], [10, 180, 2], [12, 150, 2], [15, 4, 4], [15, 8, 22], [30, 60, 4]], 'center_label': '1.1', 'center_order': 1, 'central_product': False, 'central_quotient': '1800.655', 'commutator_count': 1, 'commutator_label': '450.27', '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': 655, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 25, 1, 1], [2, 30, 1, 1], [2, 90, 1, 1], [3, 2, 1, 2], [3, 4, 1, 1], [4, 150, 1, 1], [5, 4, 2, 2], [5, 8, 1, 1], [6, 30, 2, 1], [6, 50, 1, 2], [6, 100, 1, 1], [10, 60, 2, 1], [10, 180, 2, 1], [12, 150, 2, 1], [15, 4, 4, 1], [15, 8, 2, 7], [15, 8, 4, 2], [30, 60, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 36, 'exponent': 60, 'exponents_of_order': [3, 2, 2], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': [[8, 0, 8], [8, 1, 4]], 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '1800.655', 'hash': 655, 'hyperelementary': 1, 'id': 267344, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 60, 'inner_gen_orders': [2, 12, 5, 15], 'inner_gens': [[1, 22, 816, 120], [5, 2, 72, 264], [1129, 74, 24, 120], [1, 1778, 24, 120]], 'inner_hash': 655, 'inner_nilpotent': False, 'inner_order': 1800, 'inner_split': True, 'inner_tex': 'C_{15}^2:D_4', 'inner_used': [1, 2, 3, 4], 'irrC_degree': 8, 'irrQ_degree': 16, 'irrQ_dim': 16, 'irrR_degree': 8, 'irrep_stats': [[1, 4], [2, 9], [4, 18], [8, 23]], 'label': '1800.655', 'linC_count': 32, 'linC_degree': 6, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 12, 'linQ_degree_count': 30, 'linQ_dim': 12, 'linQ_dim_count': 30, 'linR_count': 84, 'linR_degree': 8, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'C15^2:D4', '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': 28, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 54, 'number_divisions': 29, 'number_normal_subgroups': 18, 'number_subgroup_autclasses': 133, 'number_subgroup_classes': 140, 'number_subgroups': 2888, 'old_label': None, 'order': 1800, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 145], [3, 8], [4, 150], [5, 24], [6, 260], [10, 480], [12, 300], [15, 192], [30, 240]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 2, 'outer_gen_orders': [2, 2, 2], 'outer_gen_pows': [0, 12, 0], 'outer_gens': [[13, 10, 24, 1728], [1, 2, 48, 240], [1, 10, 24, 120]], 'outer_group': '8.5', 'outer_hash': 5, 'outer_nilpotent': True, 'outer_order': 8, 'outer_permdeg': 6, 'outer_perms': [1, 6, 120], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^3', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 5], [4, 4], [8, 5], [16, 9], [32, 2]], 'representations': {'PC': {'code': 7633145960811125796068312976578221737099803680669815, 'gens': [1, 2, 5, 6], 'pres': [7, 2, 2, 2, 3, 5, 3, 5, 309, 36, 422, 58, 451, 28564, 1271, 858, 5556, 5059, 166, 19417, 17660]}, 'Perm': {'d': 16, 'gens': [1327353718456, 1335497143823, 33745299840, 325, 435, 2891867655600, 4311704275200]}}, 'schur_multiplier': [2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 11, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_{15}^2:D_4', 'transitive_degree': 30, 'wreath_data': None, 'wreath_product': False}