Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×#22626931 |
| Fitting | C2×C4⋊C4×C73 ⋊ C8 |
| Sylow | C73 ⋊ C2×#1271 |
714 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
256 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1116754);