Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic6 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C5×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×C5×#798 |
| Fitting | C2×C3×C5×C16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×M32 |
| Sylow | C3 ⋊ C2×C5×M32 |
180 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 180 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) = 480 |
360 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5×#67602, #14279268, C4×C5×#798, … |
| maximal normal subgroup of | C5×#67602, #14279268, C4×C5×#798, … |
| maximal quotient of | C2×C5×#4502, C4×C5×#798, C2×C5×(C2×D3)⋊C16, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4594);