Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
| direct product | C4×#91473 |
| Fitting | C2×C3×C42×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×C4×C22⋊C4 |
| Sylow | C5 ⋊ C4×D3×C22⋊C4 |
| Sylow | C3 ⋊ C4×D5×C22⋊C4 |
2720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
264 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45097);