| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C22×C4×#11745400 |
| unambiguous semidirect product | D233⋊(C2×C42) |
| Fitting | C22×C4×C233 ⋊ C4 |
| derived, Sylow | C233 ⋊ C22×C42 |
498 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3728 |
992 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 1609);