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C₃×Q₈×Dic₅ #91662

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

140 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 20 points:

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

Conjugacy classes & character table

120 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 738);