| order | 14656 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C22×D229⋊C8 |
| unambiguous semidirect product | D229⋊(C22×C8) |
| derived, Sylow | C229 ⋊ C23×C8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7328 |
976 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14656, 1620);