Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C42 |
| direct product | C2×#22627065 |
| Fitting | C2×C42×C73 ⋊ C8 |
| Sylow | C73 ⋊ C2×#1744 |
1438 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
448 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1118122);