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C₂×C₄×Dic₆ #5467

• 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:

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

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(192, 1026);