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Cayley diagramAliases
Subgroups
906 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 14 points:
(1,2);(8,10)(11,12)(13,14);(4,6)(8,10)(12,14);(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)
Conjugacy classes & character table
44 conjugacy classes — view the full character table.
Relationships
| Fitting subgroup of | C2×#392⋊C3, #11711132, #11711133, … |
| maximal subgroup of | #9017, #9020, #9914, … |
| maximal normal subgroup of | #9017, #9020, #9914, … |
| maximal quotient of | C2×#1438, C2×#1439, C2×#1444, … |
| outer automorphism group of | #1278, #1376, #1714, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 1116);
Finite Group Databasebeta