Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6505 |
| Fitting | C2×C4×C7×Q8 ⋊ C2 |
| Sylow | C7 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | #13248410, #13248416, #13248424, … |
| maximal normal subgroup of | #13248410, #13248416, #13248424, … |
| maximal quotient of | C8×#6505, #13323390, #13323410, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14638);