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C₂×#1382 #12560

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

Aliases

Subgroups

295 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 38 points:

(1,2);(3,4,5,6)(7,8)(9,18)(10,23)(11,26)(12,28)(13,17)(14,19)(15,25)(16,24)(20,30)(21,38)(22,34)(27,31)(29,37)(32,36)(33,35);(7,9,11,20,24,35,25,36,13,22,10,19,12,21,27,37)(8,14,15,18,28,32,26,38,17,30,31,34,16,29,23,33)

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, 5548);