Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#89426 |
| Sylow | C7 ⋊ C2×#387 |
712 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13253841, #13253846, #13274970, … |
| maximal normal subgroup of | #13253841, #13253846, #13274970, … |
| maximal quotient of | C2×#11727157, C2×#11727160, C2×#11727161, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 5538);