Finite Group Databasebeta

← Group #307467

Character table — Group #307467

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888224444888888888888884444444488888824
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-1-111111-11-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111111111111-1-1-1-1-11-111-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ911111111111111111-1-1-1-11111111-1-111111111-1-1-1-11111-11-1-1-1-1-11-1-11111-1-1
χ1011111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1111-1-1-1-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-11-1-1-111-1-1-11
χ17222222222-2-222-2-22-22222-2000000-2-2000022-2-200000000200000-2000000000
χ18222222222-2-222-2-22-22222-2000000-2-20000-2-22200000000-2000002000000000
χ19222222222-2-222-2-22-2-2-2-2-2-200000022000022-2-200000000-2000002000000000
χ20222222222-2-222-2-22-2-2-2-2-2-2000000220000-2-22200000000200000-2000000000
χ2122222222-222-2-222-2-20000-22222220022-2-20000000000000-200000-200000000
χ2222222222-222-2-222-2-20000-22222-2-200-2-2-2-20000000000000200000200000000
χ2322222222-222-2-222-2-20000-2-2-2-2-22200-2-2220000000000000200000-200000000
χ2422222222-222-2-222-2-20000-2-2-2-2-2-2-20022220000000000000-200000200000000
χ2522-22-22-2-202-2002-200000002i2i−2i−2i2-2002i−2i00i2−i2i2−i2000022−2−20000000000i2−i22−200
χ2622-22-22-2-202-2002-200000002i2i−2i−2i2-2002i−2i00−i2i2−i2i20000−2−2220000000000−i2i2−2200
χ2722-22-22-2-202-2002-200000002i2i−2i−2i-2200−2i2i00i2−i2i2−i2000022−2−20000000000−i2i2−2200
χ2822-22-22-2-202-2002-200000002i2i−2i−2i-2200−2i2i00−i2i2−i2i20000−2−2220000000000i2−i22−200
χ2922-22-22-2-202-2002-20000000−2i−2i2i2i2-200−2i2i00i2−i2i2−i20000−2−2220000000000i2−i2−2200
χ3022-22-22-2-202-2002-20000000−2i−2i2i2i2-200−2i2i00−i2i2−i2i2000022−2−20000000000−i2i22−200
χ3122-22-22-2-202-2002-20000000−2i−2i2i2i-22002i−2i00i2−i2i2−i20000−2−2220000000000−i2i22−200
χ3222-22-22-2-202-2002-20000000−2i−2i2i2i-22002i−2i00−i2i2−i2i2000022−2−20000000000i2−i2−2200
χ332-2-222-2-22222-2-2-2-2220000-22-22-20000002-2000000000000002i−2i2i−2i0000000000
χ342-2-222-2-22222-2-2-2-2220000-22-22-20000002-200000000000000−2i2i−2i2i0000000000
χ352-2-222-2-22222-2-2-2-2220000-2-22-22000000-22000000000000002i−2i−2i2i0000000000
χ362-2-222-2-22222-2-2-2-2220000-2-22-22000000-2200000000000000−2i2i2i−2i0000000000
χ372-2-222-2-22-22222-2-2-2-22i2i−2i−2i22-22-2002i−2i00-2200002i2i−2i−2i00000000000000000000
χ382-2-222-2-22-22222-2-2-2-22i2i−2i−2i2-22-22002i−2i002-20000−2i−2i2i2i00000000000000000000
χ392-2-222-2-22-22222-2-2-2-2−2i−2i2i2i22-22-200−2i2i00-220000−2i−2i2i2i00000000000000000000
χ402-2-222-2-22-22222-2-2-2-2−2i−2i2i2i2-22-2200−2i2i002-200002i2i−2i−2i00000000000000000000
χ412-2-222-2-22-2-2-22222-222i2i−2i−2i-2000000−2i2i0000000000002i−2i2i−2i000000002-2000000
χ422-2-222-2-22-2-2-22222-222i2i−2i−2i-2000000−2i2i000000000000−2i2i−2i2i00000000-22000000
χ432-2-222-2-22-2-2-22222-22−2i−2i2i2i-20000002i−2i0000000000002i−2i2i−2i00000000-22000000
χ442-2-222-2-22-2-2-22222-22−2i−2i2i2i-20000002i−2i000000000000−2i2i−2i2i000000002-2000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ4644-44-44-4-40-4400-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ4744-44-44-4-40-4400-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ4844-4-4-4-4444004-400-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ4944-4-4-4-4444004-400-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ5044-4-4-4-444-400-4400404-44-400000000000000000000000000000000000000000
χ5144-4-4-4-444-400-440040-44-4400000000000000000000000000000000000000000
χ524-444-4-44-404-400-4400000004i−4i−4i4i000000000000000000000000000000000000
χ534-444-4-44-404-400-440000000−4i4i4i−4i000000000000000000000000000000000000
χ544-444-4-44-40-44004-40000000000000000000000000002i2−2i2−2i22i20000000000000000
χ554-444-4-44-40-44004-4000000000000000000000000000−2i22i22i2−2i20000000000000000
χ564-44-4-44-44400-4400-404i−4i−4i4i00000000000000000000000000000000000000000
χ574-44-4-44-44400-4400-40−4i4i4i−4i00000000000000000000000000000000000000000
χ584-44-4-44-44-4004-4004000000000000000000000022−22−222200000000000000000000
χ594-44-4-44-44-4004-40040000000000000000000000−222222−2200000000000000000000
χ604-4-444-4-444-4-4-4-4444-4000040000000000000000000000000000000000000000
χ61888-88-8-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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