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Cayley diagramAliases
Subgroups
220 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 19 points:
(1,2)(3,5)(4,6)(7,8)(10,13)(11,15)(17,18,19);(1,3)(2,5)(4,7)(6,8)(9,10)(11,14)(12,13)(15,16);(2,6)(3,7)(9,11,12,15)(10,14,13,16);(2,6)(5,8)(10,13)(14,16)
Conjugacy classes & character table
57 conjugacy classes — view the full character table.
Relationships
| Fitting subgroup of | #71952, #71953, #71954, … |
| maximal subgroup of | #71952, #71953, #71954, … |
| maximal normal subgroup of | #71952, #71953, #71954, … |
| maximal quotient of | C3×#2376, C3×#2377, C3×#2378, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(192, 1451);
Finite Group Databasebeta