Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C22×C3×C4×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ #379 |
| Sylow | C5 ⋊ #4955 |
| Sylow | C3 ⋊ #65244 |
1012 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|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×#4955, #14319808, D3×#65244, … |
| maximal normal subgroup of | D5×#4955, #14319808, D3×#65244, … |
| maximal quotient of | #14279869, #14279870, #14279871, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3135);