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C₂×#6450 #90187

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 21 points:

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

Conjugacy classes & character table

100 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(448, 949);