Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C211 |
| direct product | C2×B(4,𝔽2)×D43 |
| Fitting | C2×C43×B(4,𝔽2) ⋊ C2 |
| Sylow | C43 ⋊ C22×B(4,𝔽2) |
7014 conjugacy classes of subgroups.
736 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1036279);