Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C213×C4 |
| direct product | C23×#13063282 |
| Fitting | C23×C42×C43 ⋊ C2 |
| Sylow | C43 ⋊ C23×#117 |
14334 conjugacy classes of subgroups.
2848 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1076126);