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C₂×#3511 #62799

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

3879 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 18 points:

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

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 55787);