Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #552 |
| Sylow | C5 ⋊ #5650 |
| Sylow | C3 ⋊ #65984 |
428 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=f,c^2=e,c^a=cf,g^a=g^2,h^a=h^4,d^b=de,d^c=df123 conjugacy classes — view the full character table.
| maximal subgroup of | D15×#552, C2×#11756409, D5×#5650, … |
| maximal normal subgroup of | D15×#552, C2×#11756409, D5×#5650, … |
| maximal quotient of | #14326406, #14326418, #14326562, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10604);