Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#19143406 |
| Fitting | C2×C43×#442 ⋊ C2 |
| Sylow | C43 ⋊ C2×C4×AGL(1,ℤ/8) |
3242 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1033633);