Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #6652 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#90976 |
| Hall | C3×C5 ⋊ C2×#104 |
| Sylow | C5 ⋊ C2×#837 |
| Sylow | C3 ⋊ C2×#3957 |
340 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 112 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | #14295589, #14295593, C4×#90976, … |
| maximal normal subgroup of | #14295589, #14295593, C4×#90976, … |
| maximal quotient of | C2×#11745834, C2×#11745840, #14281586, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2613);