Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#14583017 |
| Fitting | C42×C8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C4×#443 |
1046 conjugacy classes of subgroups.
2800 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 168125);