Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #89332 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#89338 |
| Sylow | C7 ⋊ C2×#330 |
232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
122 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#89338, Dic7×#330, #13244722, … |
| maximal normal subgroup of | C4×#89338, Dic7×#330, #13244722, … |
| maximal quotient of | C2×#11725444, #13241768, #13242022, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 4254);