| order | 26944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C22×D421⋊C8 |
| unambiguous semidirect product | D421⋊(C22×C8) |
| derived, Sylow | C421 ⋊ C23×C8 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13472 |
1744 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26944, 1620);