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Cayley diagramAliases
Subgroups
2202 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 20 points:
(1,2,3,4);(2,4);(5,6)(7,10)(8,17)(9,11)(12,14)(13,15)(16,18)(19,20);(6,10)(7,14)(8,15)(11,18)(12,13)(16,20)(17,19);(6,11)(10,18)(12,19)(13,17)
Conjugacy classes & character table
80 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | D8×#509, #72227132, D4×AGL(1,ℤ/16), … |
| maximal normal subgroup of | D8×#509, #72227132, D4×AGL(1,ℤ/16), … |
| maximal quotient of | D4×#2177, #72226906, D8×#509, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(512, 7530816);
Finite Group Databasebeta