Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#91338 |
| Hall | C3×C5 ⋊ C2×#117 |
| Sylow | C5 ⋊ C2×#892 |
| Sylow | C3 ⋊ C2×#4072 |
660 conjugacy classes of subgroups; only the 272 normal subgroups are shown.
This group has 660 conjugacy classes of subgroups — too many to draw. Only its 272 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | #14280835, #14281053, #14294567, … |
| maximal normal subgroup of | #14280835, #14281053, #14294567, … |
| maximal quotient of | C2×#11748643, C2×#11748719, C2×Dic3×C4⋊Dic5, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8392);