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C₂×#13363 #498945

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

Aliases

Subgroups

1216 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 30 points:

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

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, 406141);