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Cayley diagramAliases
Subgroups
1354 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 22 points:
(1,2);(3,4)(5,6)(8,13,15,16)(9,18)(10,20)(11,19)(14,21,17,22);(4,6)(7,8,10,16,11,17,20,22,12,15,9,13,19,14,18,21);(8,14,15,17)(9,10)(13,21,16,22)(18,20)
Conjugacy classes & character table
92 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | C2×C4×AGL(1,ℤ/16), #72216453, #72216458, … |
| maximal normal subgroup of | C2×C4×AGL(1,ℤ/16), #72216453, #72216458, … |
| maximal quotient of | #72216446, #72216453, #72216458, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(512, 400271);
Finite Group Databasebeta