Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#89709 |
| Sylow | C7 ⋊ C2×#383 |
624 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
248 conjugacy classes — view the full character table.
| maximal subgroup of | #13243419, #13243421, C2×#11725472, … |
| maximal normal subgroup of | #13243419, #13243421, C2×#11725472, … |
| maximal quotient of | C2×#11729288, C4×#89709, C2×#11727170, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14270);