| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C23×#13063301 |
| Fitting | C24×Q8×C43 ⋊ C2 |
| Sylow | C43 ⋊ C23×C22⋊Q8 |
14078 conjugacy classes of subgroups.
1792 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 1076208);