Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6498 |
| Sylow | C7 ⋊ C4×#123 |
688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13248484, #13248486, #13248494, … |
| maximal normal subgroup of | #13248484, #13248486, #13248494, … |
| maximal quotient of | C4×#89992, C4×#89716, C4×#89718, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14532);