Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C5 ⋊ #347 |
| Sylow | C5 ⋊ #4512 |
| Sylow | C3 ⋊ #64686 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|a^2=c,b^2=d,c^2=e,e^2=f,b^a=be,d^a=df,h^a=h^4,c^b=cf,g^b=g^2114 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#4512, #14312721, D3×#64686, … |
| maximal normal subgroup of | D5×#4512, #14312721, D3×#64686, … |
| maximal quotient of | #14277504, #14277505, #14278711, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 72);