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C₂³×C₃×Dic₅ #92072

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

472 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 18 points:

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

Conjugacy classes & character table

192 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 1148);