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 ⋊ #385 |
| Sylow | C5 ⋊ #5210 |
| Sylow | C3 ⋊ #65235 |
468 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 144 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=d,b^a=be,h^a=h^4,c^b=cf,g^b=g^2132 conjugacy classes — view the full character table.
| maximal subgroup of | #14300329, #14300335, #14300343, … |
| maximal normal subgroup of | #14300329, #14300335, #14300343, … |
| maximal quotient of | #14279875, #14279970, #14280078, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3703);