Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic10 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×C3×#3930 |
| Fitting | C2×C3×C5×C16 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×M32 |
| Sylow | C5 ⋊ C2×C3×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 |
312 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×#10598660, #14278704, C3×#10598661, … |
| maximal normal subgroup of | C3×#10598660, #14278704, C3×#10598661, … |
| maximal quotient of | C2×C3×#64722, C3×C4×#3930, C2×C3×#64727, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3992);