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C₂³×Dic₁₄ #90603

• supersolvable
• metabelian
• solvable
• monomial
• ambivalent

Aliases

Splittings

Subgroups

850 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 21 points:

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

Conjugacy classes & character table

136 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 1365);