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C₂×#8131 #181802

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

Aliases

Subgroups

1442 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 26 points:

(1,2);(3,4)(5,8)(6,7)(9,10)(11,12,13,15,14,16,17,18);(4,7)(8,10)(19,20,21,23,22,24,25,26);(3,5,6,9)(4,8,7,10)

Conjugacy classes & character table

320 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 88998);