Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q16×C3⋊#168 |
| Hall | C3×C5 ⋊ C8×Q16 |
| Sylow | C5 ⋊ Q16×C3⋊C8 |
| Sylow | C3 ⋊ Q16×#168 |
328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 11926);