Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D7×#416 |
| Fitting | C7×#416 ⋊ C2 |
| Sylow | C7 ⋊ C2×#416 |
792 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | D7×#1764, D7×#1765, #13351656, … |
| maximal normal subgroup of | D7×#1764, D7×#1765, #13351656, … |
| maximal quotient of | D7×#1476, D7×#1488, #13320204, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 11040);