Finite Group Databasebeta

← Group #317800

Character table — Group #317800

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444448888444444888888888844444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111-1-11-1-1111111-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1-1-1111111
χ81111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-111-1-1-111111111-1-1-1-1
χ91111111111111111-1-111-1-11111-111-11111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111-1-111-1-11111-111-11111-1-1-1-11111-1-1-111-111-1-1-1-111-1-1-1-111
χ111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-111-1-11111-1-111
χ121111111111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-111-1-11111-1-1
χ131111111111111111-1-111-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-11111-1-1-1-1-111-1-111-1-111
χ141111111111111111-1-111-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1-1-1-1-1-111
χ17222222222-2-222-2-2222-2-2-2-20000-2222-2-20000000000-20000200000000000000
χ18222222222-2-222-2-2222-2-2-2-20000-2-2-2222000000000020000-200000000000000
χ19222222222-2-222-2-22-2-2-2-2220000222-2-2-2000000000020000-200000000000000
χ20222222222-2-222-2-22-2-2-2-22200002-2-2-2220000000000-20000200000000000000
χ2122222222-222-2-222-222-2-2222222-200-200-2-222-2-2000000000000000000000000
χ2222222222-222-2-222-222-2-222-2-2-2-2-200-20022-2-222000000000000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-22222200200-2-2-2-222000000000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-2-2-2-2-22002002222-2-2000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-20000200-2000000002i2i−2i−2i000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-20000200-200000000−2i−2i2i2i00000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000-2002000000002i2i−2i−2i00000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000-200200000000−2i−2i2i2i000000000000002i−2i0000
χ2922-2-222-2-22-2-2-2-2222002-2002i2i−2i−2i0000002i−2i0000000002-2000002i−2i0000000000
χ3022-2-222-2-22-2-2-2-2222002-2002i2i−2i−2i0000002i−2i000000000-2200000−2i2i0000000000
χ3122-2-222-2-22-2-2-2-2222002-200−2i−2i2i2i000000−2i2i0000000002-200000−2i2i0000000000
χ3222-2-222-2-22-2-2-2-2222002-200−2i−2i2i2i000000−2i2i000000000-22000002i−2i0000000000
χ3322-2-222-2-2-2-2-22222-200-22002i2i−2i−2i000000−2i2i000000000002-202i−2i000000000000
χ3422-2-222-2-2-2-2-22222-200-22002i2i−2i−2i000000−2i2i00000000000-220−2i2i000000000000
χ3522-2-222-2-2-2-2-22222-200-2200−2i−2i2i2i0000002i−2i000000000002-20−2i2i000000000000
χ3622-2-222-2-2-2-2-22222-200-2200−2i−2i2i2i0000002i−2i00000000000-2202i−2i000000000000
χ372-22-22-22-202-2002-202i−2i002i−2i2-22-2000000002i−2i00000000000000002−2i2−i2002−2i2−i2
χ382-22-22-22-202-2002-202i−2i002i−2i2-22-2000000002i−2i0000000000000000−22−i2i200−22−i2i2
χ392-22-22-22-202-2002-202i−2i002i−2i-22-2200000000−2i2i00000000000000002−2i2−i200−22−i2i2
χ402-22-22-22-202-2002-202i−2i002i−2i-22-2200000000−2i2i0000000000000000−22−i2i2002−2i2−i2
χ412-22-22-22-202-2002-20−2i2i00−2i2i2-22-200000000−2i2i00000000000000002−2−i2i2002−2−i2i2
χ422-22-22-22-202-2002-20−2i2i00−2i2i2-22-200000000−2i2i0000000000000000−22i2−i200−22i2−i2
χ432-22-22-22-202-2002-20−2i2i00−2i2i-22-22000000002i−2i00000000000000002−2−i2i200−22i2−i2
χ442-22-22-22-202-2002-20−2i2i00−2i2i-22-22000000002i−2i0000000000000000−22i2−i2002−2−i2i2
χ45444-4-4-4-444004-400-4000000000000000000000022−2222−2200000000000000000000
χ46444-4-4-4-444004-400-40000000000000000000000−2222−222200000000000000000000
χ47444-4-4-4-44-400-4400400000000000000000000002i2−2i2−2i22i200000000000000000000
χ48444-4-4-4-44-400-440040000000000000000000000−2i22i22i2−2i200000000000000000000
χ4944-44-4-44-4400-4400-4000000000004-4000000000000000000000000000000000
χ5044-44-4-44-4400-4400-400000000000-44000000000000000000000000000000000
χ5144-44-4-44-4-4004-4004000000000000004i−4i000000000000000000000000000000
χ5244-44-4-44-4-4004-400400000000000000−4i4i000000000000000000000000000000
χ5344-4-444-4-4444-4-4-4-4400-44000000000000000000000000000000000000000000
χ5444-4-444-4-4-44444-4-4-4004-4000000000000000000000000000000000000000000
χ554-44-44-44-40-4400-4404i−4i00−4i4i0000000000000000000000000000000000000000
χ564-44-44-44-40-4400-440−4i4i004i−4i0000000000000000000000000000000000000000
χ574-4-444-4-4404-400-440000000000000000000004i−4i000000000000000000000000
χ584-4-444-4-4404-400-44000000000000000000000−4i4i000000000000000000000000
χ594-4-444-4-440-44004-400000004i−4i−4i4i000000000000000000000000000000000000
χ604-4-444-4-440-44004-40000000−4i4i4i−4i000000000000000000000000000000000000
χ618-888-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-8-8888000000000000000000000000000000000000000000000000000000

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