Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D7×#428 |
| Fitting | C7×#428 ⋊ C2 |
| Sylow | C7 ⋊ C2×#428 |
536 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1856, D7×#1857, #13354627, … |
| maximal normal subgroup of | D7×#1856, D7×#1857, #13354627, … |
| maximal quotient of | D7×#1565, D7×#1569, #13322821, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 11418);