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C₂×#3797 #64299

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

339 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 16 points:

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

Conjugacy classes & character table

48 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 947);