Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#19145680 |
| Fitting | C2×C43×#433 ⋊ C2 |
| Sylow | C43 ⋊ C2×#3223 |
2022 conjugacy classes of subgroups.
1228 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1040953);