Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#88141 |
| Sylow | C13 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #13113158, #13113178, #13114631, … |
| maximal normal subgroup of | #13113158, #13113178, #13114631, … |
| maximal quotient of | C2×#11718310, C2×C4⋊C4×Dic13, C4×#88141, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1167);