Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×Dic7 |
| Sylow | C7 ⋊ C22×C4×Q8 |
1664 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #13259224, #13259365, Dic7×#391, … |
| maximal normal subgroup of | #13259224, #13259365, Dic7×#391, … |
| maximal quotient of | C22×C4⋊C4×Dic7, C2×C4×Q8×Dic7, C22×#89753, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19077);