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Cayley diagramAliases
Subgroups
518 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 18 points:
(1,2);(8,10)(11,12,14,16)(13,17,18,15);(4,6)(8,10)(11,13,14,18)(12,15,16,17);(3,4)(5,6)(7,8)(9,10)(11,12)(13,17)(14,16)(15,18)
Conjugacy classes & character table
44 conjugacy classes — view the full character table.
Relationships
| Fitting subgroup of | C2×#393⋊C3, #11711128, #11711131, … |
| maximal subgroup of | #9013, #9016, #9916, … |
| maximal normal subgroup of | #9013, #9016, #9916, … |
| maximal quotient of | C2×#1439, C2×#1442, C2×#1446, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 1117);
Finite Group Databasebeta