Finite Group Databasebeta

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C₂×#3968 #65515

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 23 points:

(3,4,6,7,5)(8,10,12,18)(9,13,15,16)(11,19,20,17)(14,22,23,21);(4,5)(6,7)(8,9,11,14,12,15,20,23)(10,16,17,22,18,13,19,21);(1,2)

Conjugacy classes & character table

62 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 853);