Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#89473 |
| Sylow | C7 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13272333, #13352407, #13352408, … |
| maximal normal subgroup of | #13272333, #13352407, #13352408, … |
| maximal quotient of | C2×#11727564, C2×#11727565, C2×#11727587, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10688);