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C₂²×#235 #5954

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

890 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 15 points:

(1,2)(3,4)(5,6,7)(9,13)(12,15);(8,10,11,14)(9,12,13,15);(6,7)(8,9)(10,12)(11,13)(14,15);(3,4);(1,2)

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(192, 1513);