| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×#15689205 |
| Fitting | C4×#107×C47 ⋊ C2 |
| Sylow | C47 ⋊ C42×D8 |
1350 conjugacy classes of subgroups.
1400 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 168031);