Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#22612585 |
| Fitting | C22×C4×D4×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#2321 |
5094 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
2968 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 328280);