Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×D73⋊#353 |
| unambiguous semidirect product | D73⋊(C2×#353) |
| Fitting | C2×#127×C73 ⋊ C4 |
| Sylow | C73 ⋊ C22×#353 |
2062 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1168 |
556 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1113502);