Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C16 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22611729 |
| Fitting | C2×C4⋊C16×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#2162 |
726 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
3040 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 322632);