Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#91236 |
| unambiguous semidirect product | D5⋊#832 |
| Fitting | C2×C3×C5×D4 ⋊ C4 |
| Hall | C3×C5 ⋊ C2×#102 |
| Sylow | C5 ⋊ C2×#832 |
| Sylow | C3 ⋊ C2×#4007 |
404 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
78 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#91236, #102×ΓL(1,𝔽16), Dic3×#4007, … |
| maximal normal subgroup of | C4×#91236, #102×ΓL(1,𝔽16), Dic3×#4007, … |
| maximal quotient of | C2×D4⋊(C3⋊#170), C2×#11746742, D5⋊(D4⋊(C3⋊C8)), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6620);