Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#17989632 |
| Fitting | C4×SD16×C73 ⋊ C4 |
| Sylow | C73 ⋊ C4×#444 |
1022 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
592 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1104080);