Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#19143234 |
| Fitting | C2×C43×#431 ⋊ C2 |
| Sylow | C43 ⋊ C2×#2922 |
2222 conjugacy classes of subgroups.
1792 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1033301);