Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×#22626436 |
| unambiguous semidirect product | D73⋊#2341 |
| Fitting | C22×#41×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#2341 |
5718 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
820 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1114212);