Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C27 · Schur multiplier (H2) = C220 |
| direct product | C22×H(5,𝔽2)×D43 |
| Fitting | C22×H(5,𝔽2)×C43 ⋊ C2 |
| Sylow | C43 ⋊ C23×H(5,𝔽2) |
65726 conjugacy classes of subgroups.
1564 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1083453);