Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#90503 |
| Sylow | C7 ⋊ C2×#519 |
1488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
188 conjugacy classes — view the full character table.
| maximal subgroup of | #13259118, #13259121, #13259163, … |
| maximal normal subgroup of | #13259118, #13259121, #13259163, … |
| maximal quotient of | C2×#11739589, C2×#11739895, C4×#90503, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19078);