Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #6653 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#90965 |
| Hall | C3×C5 ⋊ C2×#102 |
| Sylow | C5 ⋊ C2×#832 |
| Sylow | C3 ⋊ C2×#3953 |
404 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 404 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 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14295705, Dic3×#3953, C4×#90965, … |
| maximal normal subgroup of | #14295705, Dic3×#3953, C4×#90965, … |
| maximal quotient of | C2×#11745835, #14281795, #14282093, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2558);