Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#89480 |
| Fitting | C2×C7×#97 ⋊ C2 |
| Sylow | C7 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #13244323, #13244327, #13246656, … |
| maximal normal subgroup of | #13244323, #13244327, #13246656, … |
| maximal quotient of | C2×#11725821, C2×#11725822, C2×#11725823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10696);