| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19136492 |
| Fitting | C2×C43×#365 ⋊ C2 |
| Sylow | C43 ⋊ C2×AGL(1,ℤ/16) |
710 conjugacy classes of subgroups.
718 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 323008);