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C₂×#4023 #65814

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1152);