Finite Group Databasebeta

← Group #291749

Character table — Group #291749

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444422444444444444444888888882444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-11-1-11-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1
χ9111111111111-1-1-1-11-1-1-1-111111-1-111-1111111-1-1-1-11111-1-1-1-1-1-11-1-111-111-1-111-1-1
χ10111111111111-1-1-1-11-1-1-1-111111-1-111-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-1-111-1-111
χ11111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111-11-1-1111-1-1-1-111
χ12111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1-11-1-11111-1-1
χ13111111111111-1-1-1-11-1-1-1-1111-1-11111-1111111-1-1-1-11111-1-1-1-11-1-11-1-1-11-1-111-1-111
χ14111111111111-1-1-1-11-1-1-1-1111-1-11111-111-1-1-1-11111-1-1-1-111111-1-11-1-1-1111-1-111-1-1
χ15111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11111-1-1-11111-1-1
χ16111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11111-111-1-1-1-111
χ172222222222222222-222-2-2-2-2-2222200-200000000000000000000-2-2000000000000
χ182222222222222222-222-2-2-2-2-2-2-2-2-200-20000000000000000000022000000000000
χ19222222222222-2-2-2-2-2-2-222-2-2-222-2-200200000000000000000000-22000000000000
χ20222222222222-2-2-2-2-2-2-222-2-2-2-2-222002000000000000000000002-2000000000000
χ2122222222-2-2-2-222222-2-222-2-22000000-2000000000000000000200002-2-200000000
χ2222222222-2-2-2-222222-2-222-2-22000000-2000000000000000000-20000-22200000000
χ2322222222-2-2-2-22222-2-2-2-2-222-20000222-2-200000000000000000-200200000000000
χ2422222222-2-2-2-22222-2-2-2-2-222-20000-2-222200000000000000000200-200000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-22000000200000000000000000020000-22-200000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-220000002000000000000000000-200002-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2222222-2000022-2-2-200000000000000000200-200000000000
χ2822222222-2-2-2-2-2-2-2-2-2222222-20000-2-2-22200000000000000000-200200000000000
χ2922-22-2-22-222-2-20000-200002-2200002i−2i02i−2i00002i2i−2i−2i000022-2-20000000000000000
χ3022-22-2-22-222-2-20000-200002-2200002i−2i02i−2i0000−2i−2i2i2i0000-2-2220000000000000000
χ3122-22-2-22-222-2-20000-200002-220000−2i2i0−2i2i00002i2i−2i−2i0000-2-2220000000000000000
χ3222-22-2-22-222-2-20000-200002-220000−2i2i0−2i2i0000−2i−2i2i2i000022-2-20000000000000000
χ3322-22-2-22-2-2-2220000200002-2-200002i−2i0−2i2i22-2-200002i2i−2i−2i00000000000000000000
χ3422-22-2-22-2-2-2220000200002-2-200002i−2i0−2i2i-2-2220000−2i−2i2i2i00000000000000000000
χ3522-22-2-22-2-2-2220000200002-2-20000−2i2i02i−2i22-2-20000−2i−2i2i2i00000000000000000000
χ3622-22-2-22-2-2-2220000200002-2-20000−2i2i02i−2i-2-22200002i2i−2i−2i00000000000000000000
χ372-22-22-22-22-22-22i2i−2i−2i02i−2i000002-22i−2i0000000000000i2−i2i2−i22−22−2000000000000i2−i22−2
χ382-22-22-22-22-22-22i2i−2i−2i02i−2i000002-22i−2i0000000000000−i2i2−i2i2−22−22000000000000−i2i2−22
χ392-22-22-22-22-22-22i2i−2i−2i02i−2i00000-22−2i2i0000000000000i2−i2i2−i22−22−2000000000000−i2i2−22
χ402-22-22-22-22-22-22i2i−2i−2i02i−2i00000-22−2i2i0000000000000−i2i2−i2i2−22−22000000000000i2−i22−2
χ412-22-22-22-22-22-2−2i−2i2i2i0−2i2i000002-2−2i2i0000000000000i2−i2i2−i2−22−22000000000000i2−i2−22
χ422-22-22-22-22-22-2−2i−2i2i2i0−2i2i000002-2−2i2i0000000000000−i2i2−i2i22−22−2000000000000−i2i22−2
χ432-22-22-22-22-22-2−2i−2i2i2i0−2i2i00000-222i−2i0000000000000i2−i2i2−i2−22−22000000000000−i2i22−2
χ442-22-22-22-22-22-2−2i−2i2i2i0−2i2i00000-222i−2i0000000000000−i2i2−i2i22−22−2000000000000i2−i2−22
χ4544-44-4-44-444-4-4000040000-44-400000000000000000000000000000000000000000
χ4644-44-4-44-4-4-4440000-40000-44400000000000000000000000000000000000000000
χ4744-4-44-4-4400004i−4i4i−4i000000000000000000000000000000000000000002i−2i2-20000
χ4844-4-44-4-4400004i−4i4i−4i00000000000000000000000000000000000000000−2i2i-220000
χ4944-4-44-4-440000−4i4i−4i4i000000000000000000000000000000000000000002i−2i-220000
χ5044-4-44-4-440000−4i4i−4i4i00000000000000000000000000000000000000000−2i2i2-20000
χ514-444-4-4-44000000000004i−4i0000000000002i−2i2i−2i2-22-2000000000000000000000000
χ524-444-4-4-44000000000004i−4i000000000000−2i2i−2i2i-22-22000000000000000000000000
χ534-444-4-4-4400000000000−4i4i0000000000002i−2i2i−2i-22-22000000000000000000000000
χ544-444-4-4-4400000000000−4i4i000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ554-44-44-44-4-44-444i4i−4i−4i0−4i4i0000000000000000000000000000000000000000000000
χ564-44-44-44-4-44-44−4i−4i4i4i04i−4i0000000000000000000000000000000000000000000000
χ574-4-4444-4-400004-4-44000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ584-4-4444-4-400004-4-4400000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ594-4-4444-4-40000-444-4000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ604-4-4444-4-40000-444-400000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ614-4-4-4-44444-4-4400000000000000000000000000000000022−22−22220000000000000000
χ624-4-4-4-44444-4-44000000000000000000000000000000000−222222−220000000000000000
χ634-4-4-4-4444-444-40000000000000000000000000000022−22−222200000000000000000000
χ644-4-4-4-4444-444-400000000000000000000000000000−222222−2200000000000000000000
χ65888-8-88-8-8000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).