Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D43×AGL(1,ℤ/16) |
| Fitting | C43×AGL(1,ℤ/16) ⋊ C2 |
| Sylow | C43 ⋊ C2×AGL(1,ℤ/16) |
710 conjugacy classes of subgroups.
529 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 323005);