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C₂×#30903 #7502195

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

Aliases

Subgroups

2762 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 22 points:

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 7409391);