Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Hall | C3×C5 ⋊ #436 |
| Sylow | C5 ⋊ #5012 |
| Sylow | C3 ⋊ #65695 |
244 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=d,b^2=ef,d^2=f,c^a=cef,g^a=g^2,h^a=h^3,c^b=ce,h^d=h^478 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#11752354, D5⋊#5012, D3×#65695, … |
| maximal normal subgroup of | C2×#11752354, D5⋊#5012, D3×#65695, … |
| maximal quotient of | #14287267, #14287332, #14287334, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6549);