Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | C2×#19144991 |
| Fitting | C22×C4⋊Q8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×#3141 |
2398 conjugacy classes of subgroups.
1240 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1038860);