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C₂×#11663 #481271

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

Aliases

Subgroups

1192 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 26 points:

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

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, 388467);