Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Hall | C3×C5 ⋊ #389 |
| Sylow | C5 ⋊ #4976 |
| Sylow | C3 ⋊ #64936 |
340 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=de,c^2=ef,c^a=cef,h^a=h^4,c^b=cf,g^b=g^2120 conjugacy classes — view the full character table.
| maximal subgroup of | D5×#4976, #14320729, C2×#11748676, … |
| maximal normal subgroup of | D5×#4976, #14320729, C2×#11748676, … |
| maximal quotient of | #14279935, #14279982, #14279988, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2871);