Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42 |
| direct product | C4×#17989531 |
| Fitting | C43×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×#382 |
1742 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
1264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1098208);