Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | D11×#2956 |
| Fitting | C11×#2956 ⋊ C2 |
| Sylow | C11 ⋊ C2×#2956 |
2674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×#61110, D11×#33688, D11×#11669 |
| maximal normal subgroup of | D11×#61110, D11×#33688, D11×#11669 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1033875);