Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#88124 |
| Sylow | C13 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | #13113191, #13113193, C2×#11718057, … |
| maximal normal subgroup of | #13113191, #13113193, C2×#11718057, … |
| maximal quotient of | C2×#11718597, C2×#11718594, C2×#11718589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1140);