Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C27 |
| direct product | C3×#10606609 |
| Fitting | C3×C5×#386 ⋊ C2 |
| Hall | C3×C5 ⋊ D4×C22⋊C4 |
| Sylow | C5 ⋊ C3×D4×C22⋊C4 |
2504 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
318 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 51597);