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C₄×Q₈×D₅ #65905

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

298 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 1243);