Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#17988755 |
| Fitting | C4×H(5,𝔽2)×C73 ⋊ C2 |
| Sylow | C73 ⋊ C4×#453 |
1578 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
2512 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 175442);