Finite Group Databasebeta

← Group #312782

Character table — Group #312782

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1111-111-11-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-1-11-1-11-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1111-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111111-1-1-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-1-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-1
χ911111111111111111-1-1-1-111111-1-1111111-1-1-1-1111111111-1-1-1-1-1-1111-1-111-1-1
χ1011111111111111111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1-111-1-111-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-111111111-111-111-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-111-1-1-1-11-1-11111-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1111-1-11111-1-1-1-11-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11-1-1-111-1-11111-1-11-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-11111-1-1-1-1-111-11
χ17222222222-22-22-22-2-20000-22222002222000000-2-2000000-2000000-200000000
χ18222222222-22-22-22-2-20000-2222200-2-2-2-2000000-2-20000002000000200000000
χ19222222222-22-22-22-2-20000-2-2-2-2-20022-2-2000000220000002000000-200000000
χ20222222222-22-22-22-2-20000-2-2-2-2-200-2-22200000022000000-2000000200000000
χ2122222222-22-22-22-22-22222-20000-2-2000022000000-2-20000000200-2000000000
χ2222222222-22-22-22-22-22222-20000-2-20000-2-2000000220000000-2002000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000022000022000000-2-20000000-2002000000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000220000-2-2000000220000000200-2000000000
χ2522-22-2-2-22-202020-2000000022-2-2002i−2i2i−2ii2−i2000000i2−i2i2i2−i2−i2000000002−2002−200
χ2622-22-2-2-22-202020-2000000022-2-2002i−2i2i−2i−i2i2000000−i2i2−i2−i2i2i200000000−2200−2200
χ2722-22-2-2-22-202020-2000000022-2-200−2i2i−2i2ii2−i2000000i2−i2i2i2−i2−i200000000−2200−2200
χ2822-22-2-2-22-202020-2000000022-2-200−2i2i−2i2i−i2i2000000−i2i2−i2−i2i2i2000000002−2002−200
χ2922-22-2-2-22-202020-20000000-2-222002i−2i−2i2ii2−i2000000i2−i2−i2−i2i2i200000000−22002−200
χ3022-22-2-2-22-202020-20000000-2-222002i−2i−2i2i−i2i2000000−i2i2i2i2−i2−i2000000002−200−2200
χ3122-22-2-2-22-202020-20000000-2-22200−2i2i2i−2ii2−i2000000i2−i2−i2−i2i2i2000000002−200−2200
χ3222-22-2-2-22-202020-20000000-2-22200−2i2i2i−2i−i2i2000000−i2i2i2i2−i2−i200000000−22002−200
χ332-2-22-222-222-2-222-2-2-22i2i−2i−2i22i−2i2i−2i2i−2i00000022-2-22i−2i0000000000000000000000
χ342-2-22-222-222-2-222-2-2-22i2i−2i−2i2−2i2i−2i2i2i−2i000000-2-222−2i2i0000000000000000000000
χ352-2-22-222-222-2-222-2-2-2−2i−2i2i2i22i−2i2i−2i−2i2i000000-2-2222i−2i0000000000000000000000
χ362-2-22-222-222-2-222-2-2-2−2i−2i2i2i2−2i2i−2i2i−2i2i00000022-2-2−2i2i0000000000000000000000
χ372-2-22-222-22-2-222-2-2220000-22i−2i2i−2i000000000000−2i2i00000002i−2i02-20000000000
χ382-2-22-222-22-2-222-2-2220000-22i−2i2i−2i000000000000−2i2i0000000−2i2i0-220000000000
χ392-2-22-222-22-2-222-2-2220000-2−2i2i−2i2i0000000000002i−2i00000002i−2i0-220000000000
χ402-2-22-222-22-2-222-2-2220000-2−2i2i−2i2i0000000000002i−2i0000000−2i2i02-20000000000
χ412-2-22-222-2-222-2-222-222i2i−2i−2i-20000−2i2i000000000000002i−2i2i−2i00000000002-20000
χ422-2-22-222-2-222-2-222-222i2i−2i−2i-20000−2i2i00000000000000−2i2i−2i2i0000000000-220000
χ432-2-22-222-2-222-2-222-22−2i−2i2i2i-200002i−2i000000000000002i−2i2i−2i0000000000-220000
χ442-2-22-222-2-222-2-222-22−2i−2i2i2i-200002i−2i00000000000000−2i2i−2i2i00000000002-20000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ4644-44-4-4-4440-40-404000000000000000002i2−2i2000000−2i22i200000000000000000000
χ4744-44-4-4-4440-40-40400000000000000000−2i22i20000002i2−2i200000000000000000000
χ4844-4-44-44-4040-40-4040000000000000000002i2−2i22i2−2i2000000000000000000000000
χ4944-4-44-44-4040-40-404000000000000000000−2i22i2−2i22i2000000000000000000000000
χ5044-4-44-44-40-404040-404i−4i4i−4i00000000000000000000000000000000000000000
χ5144-4-44-44-40-404040-40−4i4i−4i4i00000000000000000000000000000000000000000
χ524-4444-4-4-44040-40-400000000000000000000000000022−22−22220000000000000000
χ534-4444-4-4-44040-40-4000000000000000000000000000−222222−220000000000000000
χ544-4444-4-4-4-40-4040400000004i−4i−4i4i000000000000000000000000000000000000
χ554-4444-4-4-4-40-404040000000−4i4i4i−4i000000000000000000000000000000000000
χ564-44-4-4-44404040-40-40000000000000000002i2−2i2−2i22i2000000000000000000000000
χ574-44-4-4-44404040-40-4000000000000000000−2i22i22i2−2i2000000000000000000000000
χ584-44-4-4-4440-40-4040404-4-4400000000000000000000000000000000000000000
χ594-44-4-4-4440-40-404040-444-400000000000000000000000000000000000000000
χ604-4-44-444-4-4-444-4-444-4000040000000000000000000000000000000000000000
χ61888-8-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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