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C₂²×#358 #33375

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

Aliases

Subgroups

607 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 24 points:

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

Conjugacy classes & character table

88 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 26363);