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C₂×#4729 #78595

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

552 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 17 points:

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

Conjugacy classes & character table

96 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 11171);