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 ⋊ #423 |
| Sylow | C5 ⋊ #4924 |
| Sylow | C3 ⋊ #65126 |
252 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 108 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|b^2=d,c^2=e,d^2=f,b^a=bf,h^a=h^4,c^b=ce,g^b=g^2132 conjugacy classes — view the full character table.
| maximal subgroup of | #14276979, #14276980, #14277107, … |
| maximal normal subgroup of | #14276979, #14276980, #14277107, … |
| maximal quotient of | #14285662, #14285693, #14285732, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 1202);