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C₂×#8607 #188783

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

Aliases

Subgroups

962 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 34 points:

(1,2);(3,4,6,9,7,10,13,16)(5,8,12,15,11,14,17,18)(19,20,22,26,23,27,29,25)(21,28,31,24,32,33,34,30);(3,5)(4,8)(6,12)(7,11)(9,15)(10,14)(13,17)(16,18)(19,21,29,34,23,32,22,31)(20,24,26,33,27,30,25,28);(5,11)(8,14)(12,17)(15,18)(19,20)(21,30)(22,25)(23,27)(24,32)(26,29)(28,34)(31,33)

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 95979);