Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#90436 |
| Fitting | C22×C7×M16 ⋊ C2 |
| Sylow | C7 ⋊ C2×#568 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
188 conjugacy classes — view the full character table.
| maximal subgroup of | #13259122, #13259125, #13259132, … |
| maximal normal subgroup of | #13259122, #13259125, #13259132, … |
| maximal quotient of | C2×#11735959, C2×#11741192, C2×#11735931, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18988);