Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | D7×#446 |
| Fitting | C7×#446 ⋊ C2 |
| Sylow | C7 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1338, #13263617, #13263757, … |
| maximal normal subgroup of | D7×#1338, #13263617, #13263757, … |
| maximal quotient of | D7×#1771, D7×#1770, #13352417, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 12168);