Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#17989453 |
| Sylow | C73 ⋊ C4×#336 |
1318 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18688 |
1312 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1091822);