Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#89707 |
| Sylow | C7 ⋊ C2×#384 |
888 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11725508, #13243890, #13243900, … |
| maximal normal subgroup of | C2×#11725508, #13243890, #13243900, … |
| maximal quotient of | C2×#11729289, C4×#89707, C2×#11727173, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14272);