Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×#6665 |
| Hall | C3×C5 ⋊ C22×C22⋊C4 |
| Sylow | C5 ⋊ C22×#217 |
| Sylow | C3 ⋊ C22×#685 |
1348 conjugacy classes of subgroups; only the 432 normal subgroups are shown.
This group has 1348 conjugacy classes of subgroups — too many to draw. Only its 432 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #14279869, #14279872, #14280012, … |
| maximal normal subgroup of | #14279869, #14279872, #14280012, … |
| maximal quotient of | C22×#90994, C2×C4×#6665, C2×#11749488, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9561);