Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C4×#6500 |
| Fitting | C2×C4×C7×D4 ⋊ C2 |
| Sylow | C7 ⋊ C4×#120 |
1224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13248479, #13248481, #13248489, … |
| maximal normal subgroup of | #13248479, #13248481, #13248489, … |
| maximal quotient of | C4×#89728, C4×#89992, C4×#89761, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14604);