| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C2×#324×D43 |
| Fitting | C2×C43×#324 ⋊ C2 |
| Sylow | C43 ⋊ C22×#324 |
1806 conjugacy classes of subgroups.
1012 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 135355);