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C₈×Dic₁₀ #64967

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 21 points:

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 305);