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C₂×D₃×#108 #79250

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

480 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 21 points:

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

Conjugacy classes & character table

84 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(384, 11826);