Set of generators: 17 Groups: 8 Vector spaces (start): 350 Vector spaces (end): 25 (16, 13, '(C4 x C2) : C2') Vector space of dimension 1 with basis: [1, 0, 0, 0, 0, 0, 0, 0] (4, 2, 'C2 x C2') Vector space of dimension 3 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, 1, 0] [0, 0, 0, 0, 0, 0, 0, 1] Vector space of dimension 4 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 1, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, -1, 1, 0, 0] [0, 0, 0, 0, 0, 0, -1, 1] Vector space of dimension 3 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, -1, 1, 0, 0] [0, 0, 0, 0, 0, 0, 1, 1] Vector space of dimension 3 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, 1, 1, 0, 0] [0, 0, 0, 0, 0, 0, -1, 1] Vector space of dimension 4 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 1, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, 1, 1, 0, 0] [0, 0, 0, 0, 0, 0, 1, 1] (2, 1, 'C2') Vector space of dimension 4 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 1, 0, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, 1, 0] [0, 0, 0, 0, 0, 0, 0, 1] Vector space of dimension 4 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 1, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, 1, 0] [0, 0, 0, 0, 0, 0, 0, 1] Vector space of dimension 5 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 1, 0, 0, 0, 0, 0, 0] [0, 0, 1, 1, 0, 0, 0, 0] [0, 0, 0, 0, 1, 1, 0, 0] [0, 0, 0, 0, 0, 0, 1, 1] Vector space of dimension 6 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 1, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, 1, 0, 0, 0] [0, 0, 0, 0, 0, 1, 0, 0] [0, 0, 0, 0, 0, 0, 1, 0] [0, 0, 0, 0, 0, 0, 0, 1] Vector space of dimension 5 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 1, 0, 0, 0, 0, 0, 0] [0, 0, -1, 1, 0, 0, 0, 0] [0, 0, 0, 0, 1, 1, 0, 0] [0, 0, 0, 0, 0, 0, 1, 1] (32, 11, '(C4 x C4) : C2') Vector space of dimension 0 with basis: (4, 1, 'C4') Vector space of dimension 2 with basis: [0, 0, 1, 0, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, 1, 0] Vector space of dimension 2 with basis: [0, 0, 0, 1, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, 0, 1] Vector space of dimension 3 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, 1, 0, 0, 0] [0, 0, 0, 0, 0, 1, 0, 0] (1, 1, '1') Vector space of dimension 8 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 1, 0, 0, 0, 0, 0, 0] [0, 0, 1, 0, 0, 0, 0, 0] [0, 0, 0, 1, 0, 0, 0, 0] [0, 0, 0, 0, 1, 0, 0, 0] [0, 0, 0, 0, 0, 1, 0, 0] [0, 0, 0, 0, 0, 0, 1, 0] [0, 0, 0, 0, 0, 0, 0, 1] (8, 2, 'C4 x C2') Vector space of dimension 2 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, -1, 1, 0, 0] Vector space of dimension 1 with basis: [0, 0, 0, 0, 0, 0, 1, 0] Vector space of dimension 1 with basis: [0, 0, 0, 0, -I, 1, 0, 0] Vector space of dimension 2 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, 1, 1, 0, 0] Vector space of dimension 1 with basis: [0, 0, 0, 0, 0, 0, 0, 1] Vector space of dimension 1 with basis: [0, 0, 0, 0, I, 1, 0, 0] (8, 3, 'D8') Vector space of dimension 2 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, -1, 1] Vector space of dimension 2 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 0, 0, 0, 0, 0, 1, 1] Vector space of dimension 2 with basis: [1, 0, 0, 0, 0, 0, 0, 0] [0, 1, 0, 0, 0, 0, 0, 0] Resume: groups: 8 group (1, 1, '1') with 1 components, of which 1 of dimension 8 group (2, 1, 'C2') with 5 components, of which 2 of dimension 4 2 of dimension 5 1 of dimension 6 group (4, 1, 'C4') with 3 components, of which 2 of dimension 2 1 of dimension 3 group (4, 2, 'C2 x C2') with 5 components, of which 3 of dimension 3 2 of dimension 4 group (8, 2, 'C4 x C2') with 6 components, of which 4 of dimension 1 2 of dimension 2 group (8, 3, 'D8') with 3 components, of which 3 of dimension 2 group (16, 13, '(C4 x C2) : C2') with 1 components, of which 1 of dimension 1 group (32, 11, '(C4 x C4) : C2') with 1 components, of which 1 of dimension 0