Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×Q16×#10596842 |
| Fitting | C2×Q16×C73 ⋊ C8 |
| Sylow | C73 ⋊ C2×C8×Q16 |
734 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
238 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1118105);