Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C4×C22⋊#10596842 |
| unambiguous semidirect product | #64408⋊(C2×C22⋊C8) |
| Fitting | C23×C4×C73 ⋊ C8 |
| Sylow | C73 ⋊ C2×C4×C22⋊C8 |
2414 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
448 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1118123);