Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#89471 |
| Sylow | C7 ⋊ C2×#494 |
552 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
236 conjugacy classes — view the full character table.
| maximal subgroup of | #13249101, #13253035, #13253037, … |
| maximal normal subgroup of | #13249101, #13253035, #13253037, … |
| maximal quotient of | C2×#11725817, C2×#11725818, C2×#11725819, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10685);