Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#88129 |
| Fitting | C2×C42×C13 ⋊ C2 |
| Sylow | C13 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | #13113187, #13113189, C2×#11718056, … |
| maximal normal subgroup of | #13113187, #13113189, C2×#11718056, … |
| maximal quotient of | C2×#11718597, C2×#11718601, C2×#11718600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1147);