Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#19145679 |
| Fitting | C2×C43×#491 ⋊ C2 |
| Sylow | C43 ⋊ C2×#3223 |
2022 conjugacy classes of subgroups.
724 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1040952);