Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | M16×D28 |
| Fitting | C4×C7×M16 ⋊ 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 | #13248123, #13248127, #13248137, … |
| maximal normal subgroup of | #13248123, #13248127, #13248137, … |
| maximal quotient of | M16×D56, #13325228, M16×#1132, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 10732);