Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C3×C5×C64 ⋊ C2 |
| Hall | C3×C5 ⋊ M128 |
| Sylow | C5 ⋊ #67432 |
| Sylow | C3 ⋊ #10597923 |
76 conjugacy classes of subgroups.
| minimal degree | μ(G) = 72 |
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^7,3,5|a^2=c,c^2=d,d^2=e,e^2=f,f^2=g,b^a=bg,h^b=h^2,i^b=i^4528 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 5490);