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Cayley diagramAliases
Subgroups
992 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 5 generators on 14 points:
(1,2);(4,6)(7,8)(9,13)(10,11)(12,14);(8,11)(12,13);(3,4)(5,6)(7,8)(9,12)(10,11)(13,14);(7,9)(8,12)(10,14)(11,13)
Conjugacy classes & character table
44 conjugacy classes — view the full character table.
Relationships
| maximal subgroup of | #8403, #10972, #10995, … |
| maximal normal subgroup of | #8403, #10972, #10995, … |
| maximal quotient of | C2×#2308, C2×#2315, C2×#2321, … |
| outer automorphism group of | #2981, #2985 |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 2177);
Finite Group Databasebeta