Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C8 |
| direct product | D11×#1455 |
| Fitting | C11×#1455 ⋊ C2 |
| Sylow | C11 ⋊ C2×#1455 |
994 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D11×#19745, AGL(1,𝔽11)×#1455, D11×#11669 |
| maximal normal subgroup of | D11×#19745, AGL(1,𝔽11)×#1455, D11×#11669 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 135272);