Finite Group Databasebeta

← Group #317366

Character table — Group #317366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444448888224444888888888822444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-1-1-11-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-11-1-11111111-1-1-1-111-11111-111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1111111
χ81111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-111-111111111-1-1-1-1
χ91111111111111111-1-1-1-111111111-111-1-1-1-1-111111111-1-1-111-1-1-111-1-1-1-111-1-1
χ101111111111111111-1-1-1-111111111-111-1-1-1-1-1111111-1-1-111-1-1-111-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11111-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111111-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-111-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ141111111111111111-1-1-1-111-1-1-1-111-111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1111-1-111-1-111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-111-1-1-1-1-1-111
χ17222222222-2-222-2-2222-2-2-2-20000222-2-2-200000000000020000-2000000000000
χ18222222222-2-222-2-2222-2-2-2-20000-2-2222-2000000000000-200002000000000000
χ19222222222-2-222-2-22-2-222-2-2000022-2-2-22000000000000-200002000000000000
χ20222222222-2-222-2-22-2-222-2-20000-2-2-222200000000000020000-2000000000000
χ2122222222-222-2-222-22222-2-2222200-200-222-2-2-2-2000000000000000000000000
χ2222222222-222-2-222-22222-2-2-2-2-2-200-200-2-2-22222000000000000000000000000
χ2322222222-222-2-222-2-2-2-2-2-2-22222002002-2-222-2-2000000000000000000000000
χ2422222222-222-2-222-2-2-2-2-2-2-2-2-2-2-200200222-2-222000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222000000-20020000002i2i−2i−2i000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-222000000-2002000000−2i−2i2i2i00000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000200-20000002i2i−2i−2i00000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000200-2000000−2i−2i2i2i000000000000002i−2i0000
χ2922-22-22-2-202-2002-202i−2i2i−2i0022-2-20000002i−2i0000000000000000002−2i2−i2002−2i2−i2
χ3022-22-22-2-202-2002-202i−2i2i−2i0022-2-20000002i−2i000000000000000000−22−i2i200−22−i2i2
χ3122-22-22-2-202-2002-202i−2i2i−2i00-2-222000000−2i2i0000000000000000002−2i2−i200−22−i2i2
χ3222-22-22-2-202-2002-202i−2i2i−2i00-2-222000000−2i2i000000000000000000−22−i2i2002−2i2−i2
χ3322-22-22-2-202-2002-20−2i2i−2i2i0022-2-2000000−2i2i0000000000000000002−2−i2i2002−2−i2i2
χ3422-22-22-2-202-2002-20−2i2i−2i2i0022-2-2000000−2i2i000000000000000000−22i2−i200−22i2−i2
χ3522-22-22-2-202-2002-20−2i2i−2i2i00-2-2220000002i−2i0000000000000000002−2−i2i200−22i2−i2
χ3622-22-22-2-202-2002-20−2i2i−2i2i00-2-2220000002i−2i000000000000000000−22i2−i2002−2−i2i2
χ372-2-222-2-22222-2-2-2-2200002-22i−2i2i−2i00000000002i−2i00000002i−2i0002-20000000000
χ382-2-222-2-22222-2-2-2-2200002-22i−2i2i−2i00000000002i−2i0000000−2i2i000-220000000000
χ392-2-222-2-22222-2-2-2-2200002-2−2i2i−2i2i0000000000−2i2i00000002i−2i000-220000000000
χ402-2-222-2-22222-2-2-2-2200002-2−2i2i−2i2i0000000000−2i2i0000000−2i2i0002-20000000000
χ412-2-222-2-22-22222-2-2-20000-222i−2i2i−2i0000000000−2i2i00002-20002i−2i0000000000000
χ422-2-222-2-22-22222-2-2-20000-222i−2i2i−2i0000000000−2i2i0000-22000−2i2i0000000000000
χ432-2-222-2-22-22222-2-2-20000-22−2i2i−2i2i00000000002i−2i00002-2000−2i2i0000000000000
χ442-2-222-2-22-22222-2-2-20000-22−2i2i−2i2i00000000002i−2i0000-220002i−2i0000000000000
χ45444-44-4-4-44004-400-400000000004-40000000000000000000000000000000000
χ46444-44-4-4-44004-400-40000000000-440000000000000000000000000000000000
χ47444-44-4-4-4-400-4400400000000000004i−4i0000000000000000000000000000000
χ48444-44-4-4-4-400-440040000000000000−4i4i0000000000000000000000000000000
χ4944-44-44-4-40-4400-4404i−4i−4i4i000000000000000000000000000000000000000000
χ5044-44-44-4-40-4400-440−4i4i4i−4i000000000000000000000000000000000000000000
χ514-444-4-44-404-400-4400000004i−4i−4i4i000000000000000000000000000000000000
χ524-444-4-44-404-400-440000000−4i4i4i−4i000000000000000000000000000000000000
χ534-444-4-44-40-44004-400000000000000000004i−4i00000000000000000000000000
χ544-444-4-44-40-44004-40000000000000000000−4i4i00000000000000000000000000
χ554-4-444-4-444-4-4-4-44440000-440000000000000000000000000000000000000000
χ564-4-444-4-44-4-4-44444-400004-40000000000000000000000000000000000000000
χ574-4-4-4444-4400-4400-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ584-4-4-4444-4400-4400-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ594-4-4-4444-4-4004-4004000000000000000000000022−22−222200000000000000000000
χ604-4-4-4444-4-4004-40040000000000000000000000−222222−2200000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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