Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C2×#22623719 |
| Fitting | C22×H(5,𝔽2)×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#3500 |
11534 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
2536 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1078037);