Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#89452 |
| Sylow | C7 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
236 conjugacy classes — view the full character table.
| maximal subgroup of | #13249058, #13249060, #13253011, … |
| maximal normal subgroup of | #13249058, #13249060, #13253011, … |
| maximal quotient of | C2×#11727518, C2×#11727523, C2×#11727531, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10650);