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C₂×#1904 #20996

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

Aliases

Subgroups

947 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 18 points:

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

Conjugacy classes & character table

58 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 13984);