Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic13 |
| Sylow | C13 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | #13116680, D16×Dic13, SD32×Dic13, … |
| maximal normal subgroup of | #13116680, D16×Dic13, SD32×Dic13, … |
| maximal quotient of | D8×#1055, #13113666, #13113721, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 776);