Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D7×#452 |
| Fitting | C7×#452 ⋊ C2 |
| Sylow | C7 ⋊ C2×#452 |
760 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
95 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D7×#452, D7×#3002, D7×#3005, … |
| maximal normal subgroup of | C2×D7×#452, D7×#3002, D7×#3005, … |
| maximal quotient of | D7×#1603, D7×#1615, D7×#1606, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 12436);