Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C5 · Schur multiplier (H2) = C22 |
| direct product | C4×C5×#216 |
| Hall | C3×C5 ⋊ C4×Q16 |
| Sylow | C3 ⋊ C4×C5×Q16 |
220 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 110 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#68213, C5×C8×#216, #14286248, … |
| maximal normal subgroup of | C5×#68213, C5×C8×#216, #14286248, … |
| maximal quotient of | C5×C8×#216, C5×#70956, C5×#70934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4723);