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C₄×C₅×Dic₆ #91671

• 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:

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

Conjugacy classes & character table

180 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 747);