Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D7×#461 |
| Fitting | C7×#461 ⋊ C2 |
| Sylow | C7 ⋊ C2×#461 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
95 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1639, D7×#1643, D7×#1647, … |
| maximal normal subgroup of | D7×#1639, D7×#1643, D7×#1647, … |
| maximal quotient of | D7×#1671, D7×#1673, D7×#1675, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 12637);