Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | Dic3×#681 |
| Hall | C3×C5 ⋊ C4×M16 |
| Sylow | C5 ⋊ Dic3×M16 |
| Sylow | C3 ⋊ C4×#681 |
284 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 284 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 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | #14295433, #14295436, Dic3×#3955, … |
| maximal normal subgroup of | #14295433, #14295436, Dic3×#3955, … |
| maximal quotient of | C3⋊C8×#681, #14280396, #14280519, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2520);