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C₂×#6396 #89895

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

106 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 25 points:

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

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(448, 657);