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C₂×C₄×Dic₁₁ #66975

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

108 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 21 points:

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

Conjugacy classes & character table

112 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(352, 117);