Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25 |
| direct product | Q8×#14556645 |
| Fitting | C8×Q8×C73 ⋊ C4 |
| Sylow | C73 ⋊ Q8×#97 |
954 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, 1104125);