Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C2×C22⋊C4×D292 |
| Fitting | C2×C4×C22⋊C4×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×D4×C22⋊C4 |
8774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
2980 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 328743);