Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D4×#6705 |
| Fitting | C3×C5×C8×D4 ⋊ C2 |
| Hall | C3×C5 ⋊ D4×M16 |
| Sylow | C5 ⋊ D4×ΓL(1,𝔽25) |
| Sylow | C3 ⋊ D4×#676 |
1088 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
330 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 141366);