Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #380 |
| Sylow | C5 ⋊ #4987 |
| Sylow | C3 ⋊ #64956 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=e,b^2=e,c^2=d,c^a=ce,h^a=h^4,c^b=cf,g^b=g^2120 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#4987, #14319840, C2×#11748876, … |
| maximal normal subgroup of | D5×#4987, #14319840, C2×#11748876, … |
| maximal quotient of | #14279870, #14279901, #14279934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3071);