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C₂×#11479 #480105

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

Aliases

Subgroups

1474 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 387301);