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C₂×#5490 #85696

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

1900 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 17 points:

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

Conjugacy classes & character table

90 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 18272);