Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#6447 |
| Fitting | C4×C7×C22⋊C4 ⋊ C2 |
| Sylow | C7 ⋊ C4×#121 |
824 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | C8×#6447, #13359823, #13359833, … |
| maximal normal subgroup of | C8×#6447, #13359823, #13359833, … |
| maximal quotient of | C4×#89728, C4×#89437, C4×#89723, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 5776);