Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Hall | C3×C5 ⋊ #2888 |
| Sylow | C5 ⋊ #84100 |
| Sylow | C3 ⋊ #10617553 |
1512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^7,3,5|a^2=f,f^2=g,b^a=be,e^a=eg,h^a=h^2,i^a=i^2,f^b=fg,d^c=dg,i^c=i^4,i^d=i^4,i^f=i^4135 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 137868);