Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#88130 |
| Fitting | C2×C42×C13 ⋊ C2 |
| Sylow | C13 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | #13113203, #13113206, #13117384, … |
| maximal normal subgroup of | #13113203, #13113206, #13117384, … |
| maximal quotient of | C2×#11718598, C2×#11718594, C2×#11718601, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1149);