Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #89428 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#89756 |
| Sylow | C7 ⋊ C2×#398 |
692 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | #13275631, C4×#89756, #13279181, … |
| maximal normal subgroup of | #13275631, C4×#89756, #13279181, … |
| maximal quotient of | C2×#11727165, C2×#11729319, C2×#11727164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14376);