Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#89778 |
| Fitting | C2×C7×#117 ⋊ C2 |
| Sylow | C7 ⋊ C2×#410 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | #13259122, #13259125, #13259127, … |
| maximal normal subgroup of | #13259122, #13259125, #13259127, … |
| maximal quotient of | C2×#11728536, C2×#11728537, C2×#11728540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14477);