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C₂×#1913 #21013

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

Aliases

Subgroups

1039 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 14001);