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C₂×#30875 #7502175

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

Aliases

Subgroups

2832 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)(15,16,18,19)(17,21,22,20);(8,11)(9,14)(15,17)(16,20)(18,22)(19,21);(4,6)(16,19)(17,21)(20,22);(4,6)(7,9,10,14)(8,12,11,13)(17,22)(20,21)

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 7409371);