Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C3×C5×H(5,𝔽2) ⋊ C2 |
| Hall | C3×C5 ⋊ #3019 |
| Sylow | C5 ⋊ #84104 |
| Sylow | C3 ⋊ #10615835 |
1524 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^7,3,5|e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,h^a=h^2,i^a=i^4,e^b=eg,f^b=fg,e^c=eg267 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 151002);