Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C26×C4 |
| direct product | C2×C22⋊C4×#10596842 |
| Fitting | C2×C22⋊C4×C73 ⋊ C8 |
| Sylow | C73 ⋊ C2×C8×C22⋊C4 |
2046 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1168 |
340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1118124);