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Cayley diagramAliases
Subgroups
16 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 21 points:
(1,2,3,4,5)(11,12,13,14,15,16,17,18,19,20,21);(6,7,8,9,10)
Conjugacy classes & character table
275 conjugacy classes. The character table is too large to display.
Relationships
| center of | C52×D3×C11, C52×C11×A4, C52×C11×D7, … |
| derived subgroup of | C5⋊D55, C11⋊#1039, C11⋊#1043, … |
| Fitting subgroup of | C52×D11, C5×D5×C11, C5×D55, … |
| socle of | C52×D11, C5×D5×C11, C5×D55, … |
| maximal subgroup of | C52×D11, C5×D5×C11, C5×D55, … |
| maximal normal subgroup of | C52×D11, C5×D5×C11, C5×D55, … |
| maximal quotient of | C2×C52×C11, C3×C52×C11, C5×C11×C25, … |
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(275, 4);
Finite Group Databasebeta