Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×H(3,ℤ/4)×D73 |
| Fitting | C2×H(3,ℤ/4)×C73 ⋊ C2 |
| Sylow | C73 ⋊ C22×H(3,ℤ/4) |
2270 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
1672 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 166938);