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C₂×C₂²⋊(C₇⋊C₈) #89978

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

202 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

(3,4)(5,6)(7,8,10,12,13,11,9);(4,6)(8,9)(10,11)(12,13)(14,15,16,18,17,19,20,21);(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, 740);