Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D7×#367 |
| Fitting | C7×#367 ⋊ C2 |
| Sylow | C7 ⋊ C2×#367 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
110 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1418, D7×#1426, C2×D7×#367, … |
| maximal normal subgroup of | D7×#1418, D7×#1426, C2×D7×#367, … |
| maximal quotient of | D7×#1372, #13265439, #13265479, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 1864);