Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×D7×M16 |
| Fitting | C22×C7×M16 ⋊ C2 |
| Sylow | C7 ⋊ C23×M16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
200 conjugacy classes — view the full character table.
| maximal subgroup of | #13259030, (C2×D7)⋊#338, #13259068, … |
| maximal normal subgroup of | #13259030, (C2×D7)⋊#338, #13259068, … |
| maximal quotient of | C22×D7×#97, C2×C4×D7×M16, C22×M16×Dic7, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18986);