Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#89796 |
| 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 | #13244384, #13244386, #13244624, … |
| maximal normal subgroup of | #13244384, #13244386, #13244624, … |
| maximal quotient of | C2×#11727232, C2×#11727231, C4×#89796, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14644);