Finite Group Databasebeta

← Group #313807

Character table — Group #313807

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111111111111-1-1-11-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1111-1
χ91111111111111111-1-1-1-111111111-1-1111111-1-1-1-1111111-11-1-1-11-1-1-1-11111-1-1
χ101111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1111-111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-11-111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-11-1-11111-1-11-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-11111-1-1-1-1-1-111-11
χ17222222222-22-22-22-22222-2-2000000-2-20022000000-2-20000-2000200000000000
χ18222222222-22-22-22-22222-2-2000000-2-200-2-20000002200002000-200000000000
χ19222222222-22-22-22-2-2-2-2-2-2-2000000220022000000-2-200002000-200000000000
χ20222222222-22-22-22-2-2-2-2-2-2-20000002200-2-2000000220000-2000200000000000
χ2122222222-22-22-22-220000-2-2222222002200-2-200000000000-2000-20000000000
χ2222222222-22-22-22-220000-2-22222-2-200-2-200-2-200000000000200020000000000
χ2322222222-22-22-22-220000-2-2-2-2-2-22200-2-2002200000000000-200020000000000
χ2422222222-22-22-22-220000-2-2-2-2-2-2-2-200220022000000000002000-20000000000
χ25222-2-2-2-220-20-202020000002i2i−2i−2i2-2002i−2i2−20000002−2i2i2−i2−i20000000000i2−i22−200
χ26222-2-2-2-220-20-202020000002i2i−2i−2i2-2002i−2i−22000000−22−i2−i2i2i20000000000−i2i2−2200
χ27222-2-2-2-220-20-202020000002i2i−2i−2i-2200−2i2i2−20000002−2i2i2−i2−i20000000000−i2i2−2200
χ28222-2-2-2-220-20-202020000002i2i−2i−2i-2200−2i2i−22000000−22−i2−i2i2i20000000000i2−i22−200
χ29222-2-2-2-220-20-20202000000−2i−2i2i2i2-200−2i2i2−20000002−2−i2−i2i2i20000000000−i2i22−200
χ30222-2-2-2-220-20-20202000000−2i−2i2i2i2-200−2i2i−22000000−22i2i2−i2−i20000000000i2−i2−2200
χ31222-2-2-2-220-20-20202000000−2i−2i2i2i-22002i−2i2−20000002−2−i2−i2i2i20000000000i2−i2−2200
χ32222-2-2-2-220-20-20202000000−2i−2i2i2i-22002i−2i−22000000−22i2i2−i2−i20000000000−i2i22−200
χ332-2-222-2-2222-2-222-2-222-2-2-222i−2i2i−2i002-200002i−2i2i2i−2i−2i0000000000000000000000
χ342-2-222-2-2222-2-222-2-222-2-2-22−2i2i−2i2i002-20000−2i2i−2i−2i2i2i0000000000000000000000
χ352-2-222-2-2222-2-222-2-2-2-222-222i−2i2i−2i00-2200002i−2i−2i−2i2i2i0000000000000000000000
χ362-2-222-2-2222-2-222-2-2-2-222-22−2i2i−2i2i00-220000−2i2i2i2i−2i−2i0000000000000000000000
χ372-2-222-2-222-2-222-2-2222-2-22-2000000-220000000000002i−2i2i−2i000000002i−2i000000
χ382-2-222-2-222-2-222-2-2222-2-22-2000000-22000000000000−2i2i−2i2i00000000−2i2i000000
χ392-2-222-2-222-2-222-2-22-2-2222-20000002-20000000000002i−2i2i−2i00000000−2i2i000000
χ402-2-222-2-222-2-222-2-22-2-2222-20000002-2000000000000−2i2i−2i2i000000002i−2i000000
χ412-2-222-2-22-222-2-222-200002-22i−2i2i−2i00000000−2i2i0000000000002i−2i002-200000000
χ422-2-222-2-22-222-2-222-200002-22i−2i2i−2i00000000−2i2i000000000000−2i2i00-2200000000
χ432-2-222-2-22-222-2-222-200002-2−2i2i−2i2i000000002i−2i0000000000002i−2i00-2200000000
χ442-2-222-2-22-222-2-222-200002-2−2i2i−2i2i000000002i−2i000000000000−2i2i002-200000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-4-4404040-40-4000000000000000022−22000000−222200000000000000000000
χ47444-4-4-4-4404040-40-40000000000000000−222200000022−2200000000000000000000
χ4844-44-44-4-440-40-40404-44-4000000000000000000000000000000000000000000
χ4944-44-44-4-440-40-4040-44-44000000000000000000000000000000000000000000
χ5044-44-44-4-4-404040-400000000000000000000022−2222−220000000000000000000000
χ5144-44-44-4-4-404040-4000000000000000000000−2222−22220000000000000000000000
χ524-444-4-44-44040-40-404-4-44000000000000000000000000000000000000000000
χ534-444-4-44-44040-40-40-444-4000000000000000000000000000000000000000000
χ544-444-4-44-4-40-404040000000000000000000002i2−2i2−2i22i20000000000000000000000
χ554-444-4-44-4-40-40404000000000000000000000−2i22i22i2−2i20000000000000000000000
χ564-4-444-4-44-4-444-4-4440000-440000000000000000000000000000000000000000
χ574-4-4-4-4444040-40-4040000000000000000000000000022−22−22220000000000000000
χ584-4-4-4-4444040-40-40400000000000000000000000000−222222−220000000000000000
χ594-4-4-4-44440-404040-40000004-4-44000000000000000000000000000000000000
χ604-4-4-4-44440-404040-4000000-444-4000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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