Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C211 |
| direct product | C22×#17989534 |
| unambiguous semidirect product | D73⋊(C2×#385) |
| Fitting | C22×C22⋊C4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C22×#385 |
8670 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
832 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1114124);