Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#88166 |
| Fitting | C2×C13×D8 ⋊ C2 |
| Sylow | C13 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | #13116540, #13116545, #13116582, … |
| maximal normal subgroup of | #13116540, #13116545, #13116582, … |
| maximal quotient of | C2×#11718433, C2×#11718541, C2×D8×Dic13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1427);