Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#1131 |
| Fitting | C7×C8×D4 ⋊ C2 |
| Sylow | C7 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
170 conjugacy classes — view the full character table.
| maximal subgroup of | #13324677, #13324683, #13324688, … |
| maximal normal subgroup of | #13324677, #13324683, #13324688, … |
| maximal quotient of | D8×#1131, #13325221, SD16×#1131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 11635);