Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Hall | C3×C5 ⋊ #362 |
| Sylow | C5 ⋊ #4565 |
| Sylow | C3 ⋊ #64737 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=f,b^2=cd,c^2=ef,e^2=f,b^a=bc,c^a=ce,e^a=ef,h^a=h^4,c^b=cf,d^b=df,g^b=g^2102 conjugacy classes — view the full character table.
| maximal subgroup of | #14314220, D5×#4565, C2×#11745922, … |
| maximal normal subgroup of | #14314220, D5×#4565, C2×#11745922, … |
| maximal quotient of | #14277882, #14278250, #14278482, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 117);