Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×(C2×D3)⋊Dic5 |
| Hall | C3×C5 ⋊ C4×C22⋊C4 |
| Sylow | C5 ⋊ C4×(C2×D3)⋊C4 |
| Sylow | C3 ⋊ C4×C22⋊Dic5 |
516 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 180 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 | #14295164, C8×(C2×D3)⋊Dic5, #14295178, … |
| maximal normal subgroup of | #14295164, C8×(C2×D3)⋊Dic5, #14295178, … |
| maximal quotient of | C4×#90994, #14279874, #14279907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2908);