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Cayley diagramAliases
Subgroups
220 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 20 points:
(1,2);(3,4);(5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20);(6,20)(7,19)(8,18)(9,17)(10,16)(11,15)(12,14)
Conjugacy classes & character table
44 conjugacy classes — view the full character table.
Relationships
| Fitting subgroup of | A4×D16, #11711662, #11711664, … |
| maximal subgroup of | #13012, #13017, #13235, … |
| maximal normal subgroup of | #13012, #13017, #13235, … |
| maximal quotient of | C22×#357, C22×#366, C2×C4×D16, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 2140);
Finite Group Databasebeta