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C₂×#8277 #183367

• 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 30 points:

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

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 90563);