Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of D112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic56 |
| Sylow | C7 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
236 conjugacy classes — view the full character table.
| maximal subgroup of | #13270873, #13270875, #13270908, … |
| maximal normal subgroup of | #13270873, #13270875, #13270908, … |
| maximal quotient of | C22×#89298, C22×#89299, C2×C4×Dic56, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14215);