Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #686 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×C3×#3954 |
| Hall | C3×C5 ⋊ C2×#108 |
| Sylow | C5 ⋊ C2×C3×#108 |
212 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 126 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
204 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10599534, C3×#10600682, #14296486, … |
| maximal normal subgroup of | C3×#10599534, C3×#10600682, #14296486, … |
| maximal quotient of | C2×C3×#64700, C2×C3×#64699, C3×#10601538, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4215);