Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | AΣL(1,𝔽16)×Dic43 |
| Sylow | C43 ⋊ C4×AΣL(1,𝔽16) |
844 conjugacy classes of subgroups.
598 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 84702);