Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C211 |
| direct product | C2×D11×B(4,𝔽2) |
| Fitting | C2×C11×B(4,𝔽2) ⋊ C2 |
| Sylow | C11 ⋊ C22×B(4,𝔽2) |
7014 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D11×#23900 |
| maximal normal subgroup of | D11×#23900 |
| maximal quotient of | D11×#23900 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1036279);