Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#22626494 |
| Fitting | C22×M16×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#2873 |
3342 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2336 |
856 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1114657);