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Cayley diagramAliases
Subgroups
454 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 18 points:
(1,2);(8,10)(11,12,15,14)(13,17,18,16);(4,6)(8,10)(11,13,15,18)(12,16,14,17);(3,4)(5,6)(7,8)(9,10)(11,14,15,12)(13,16,18,17)
Conjugacy classes & character table
44 conjugacy classes — view the full character table.
Relationships
| Fitting subgroup of | C2×#395⋊C3, #11711129, #11711130, … |
| maximal subgroup of | #9014, #9015, #9917, … |
| maximal normal subgroup of | #9014, #9015, #9917, … |
| maximal quotient of | C2×#1441, C2×#1444, C2×#1446, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 1119);
Finite Group Databasebeta