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C₂×C₅×Dic₁₂ #91708

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 26 points:

(3,4,5)(6,7,8,9,10)(11,13,20,24,15,22,14,21)(12,16,23,26,18,25,17,19);(1,2)(4,5)(11,12,15,18)(13,19,22,26)(14,23,20,17)(16,24,25,21);(1,2)

Conjugacy classes & character table

150 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 784);