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C₂²×C₂²⋊Dic₇ #90530

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

674 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 19 points:

(5,6)(7,8)(13,14,16,18,19,17,15);(6,8)(9,10,11,12)(14,15)(16,17)(18,19);(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, 1292);