Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | D11×#2238 |
| Fitting | C11×#2238 ⋊ C2 |
| Sylow | C11 ⋊ C2×#2238 |
604 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#33688 |
| maximal normal subgroup of | D11×#33688 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 324449);