Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | #120×#10596842 |
| Fitting | #120×C73 ⋊ C8 |
| Sylow | C73 ⋊ C8×#120 |
1786 conjugacy classes of subgroups.
| transitive degree | μt(G) = 584 |
238 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1118158);