Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Hall | C3×C5 ⋊ #368 |
| Sylow | C5 ⋊ #4493 |
| Sylow | C3 ⋊ #64713 |
80 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=c,c^2=f,d^2=ef,e^2=f,b^a=bd,g^a=g^2,h^a=h^4,d^b=de,e^b=ef120 conjugacy classes — view the full character table.
| maximal subgroup of | D15×#368, C2×#11746314, D5×#4493, … |
| maximal normal subgroup of | D15×#368, C2×#11746314, D5×#4493, … |
| maximal quotient of | #14278635, #14278650, #14278834, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 509);