Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C27×C4 |
| direct product | C22⋊C4×C22⋊#64408 |
| Fitting | C22×C22⋊C4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C22⋊C42 |
4254 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
820 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1098259);