Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | #135×D172 |
| Fitting | C4×#135×C43 ⋊ C2 |
| Sylow | C43 ⋊ D4×#135 |
2822 conjugacy classes of subgroups.
1246 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1044868);