Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27×C4 |
| direct product | C22×#17988949 |
| Fitting | C22×C4⋊Q8×C73 ⋊ C2 |
| Sylow | C73 ⋊ C22×#489 |
2486 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
2080 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1038779);