Finite Group Databasebeta

?

← Prev (#357565) Next (#357567) →

C₂×#11015 #357566

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

Aliases

Subgroups

4302 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 38 points:

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

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, 264762);