← Prev (#3143) Next (#3145) →
Cayley diagramAliases
Subgroups
380 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 4 generators on 14 points:
(1,2);(4,6)(8,11)(9,12)(13,14);(7,8,12,14,10,13,9,11);(3,4,5,6)
Conjugacy classes & character table
44 conjugacy classes — view the full character table.
Relationships
| derived subgroup of | #72279700, #72279704, #72279843 |
| Frattini subgroup of | #94779, #94795, #94801, … |
| maximal subgroup of | #9061, #9734, #9743, … |
| maximal normal subgroup of | #9061, #9734, #9743, … |
| maximal quotient of | C2×#1706, C2×#1709, C2×#1712, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(128, 1876);
Finite Group Databasebeta