Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #554 |
| Sylow | C5 ⋊ #5539 |
| Sylow | C3 ⋊ #66064 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=e,c^2=f,d^2=ef,c^a=cf,h^a=h^4,d^b=de,g^b=g^2,d^c=df93 conjugacy classes — view the full character table.
| maximal subgroup of | #14471701, #14471707, #14471713, … |
| maximal normal subgroup of | #14471701, #14471707, #14471713, … |
| maximal quotient of | #14326756, #14327072, #14327185, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7784);