Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C3×C5×#410 ⋊ C2 |
| Hall | C3×C5 ⋊ #3025 |
| Sylow | C5 ⋊ #78690 |
| Sylow | C3 ⋊ #10610421 |
1532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^7,3,5|d^2=g,b^a=be,c^a=cf,h^a=h^2,i^a=i^4,f^b=fg,e^c=eg,h^c=h^2,i^c=i^4186 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 151367);