Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#19136580 |
| Fitting | C2×C43×AΣL(1,𝔽16) ⋊ C2 |
| Sylow | C43 ⋊ C2×#2196 |
1956 conjugacy classes of subgroups.
586 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 323570);