| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C212 |
| direct product | C23×(C2×#64408)⋊C4 |
| unambiguous semidirect product | D73⋊(C22×#95) |
| Fitting | C24×C4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C23×#95 |
14334 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
1312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1114090);