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C₂²×Dic₃₀ #92089

• supersolvable
• metabelian
• solvable
• monomial
• ambivalent

Aliases

Splittings

Subgroups

312 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 20 points:

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

Conjugacy classes & character table

132 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 1165);