Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#19136243 |
| Fitting | C2×C43×AΣL(1,𝔽16) ⋊ C2 |
| Sylow | C43 ⋊ C2×#2122 |
1406 conjugacy classes of subgroups.
592 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 322298);