Finite Group Databasebeta

← Group #316479

Character table — Group #316479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244448888444444888888888822224444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1
χ91111111111111111-1-1-1-1111111-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111
χ101111111111111111-1-1-1-1111111-1-11111-1-111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-111-1-1-1-1-1-11111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-1-1-11111-1-1-1-1
χ17222222222-222-2-22-22222-2-22222-2-2000022-2-2-2-2000000000000000000000000
χ18222222222-222-2-22-22222-2-2-2-2-2-2-2-20000-2-22222000000000000000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-22222220000-2-2-2-222000000000000000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-2-2-2-2-22200002222-2-2000000000000000000000000
χ2122222222-22-2-222-2222-2-2-2-200002-222-2-2000000000000002-200000000000000
χ2222222222-22-2-222-2222-2-2-2-200002-2-2-22200000000000000-2200000000000000
χ2322222222-22-2-222-22-2-222-2-20000-2222-2-200000000000000-2200000000000000
χ2422222222-22-2-222-22-2-222-2-20000-22-2-222000000000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-2200000000002i2i−2i−2i00000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-220000000000−2i−2i2i2i0000000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-200000000002i2i−2i−2i0000000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-20000000000−2i−2i2i2i00000000002i−2i00000000
χ292222-2-2-2-2-202-200202-22-2002i2i−2i−2i0000002i−2i00000000000000000000i2−i22−2i2−i22−2
χ302222-2-2-2-2-202-200202-22-2002i2i−2i−2i0000002i−2i00000000000000000000−i2i2−22−i2i2−22
χ312222-2-2-2-2-202-200202-22-200−2i−2i2i2i000000−2i2i00000000000000000000i2−i2−22i2−i2−22
χ322222-2-2-2-2-202-200202-22-200−2i−2i2i2i000000−2i2i00000000000000000000−i2i22−2−i2i22−2
χ332222-2-2-2-2-202-20020-22-22002i2i−2i−2i000000−2i2i00000000000000000000i2−i2−22−i2i22−2
χ342222-2-2-2-2-202-20020-22-22002i2i−2i−2i000000−2i2i00000000000000000000−i2i22−2i2−i2−22
χ352222-2-2-2-2-202-20020-22-2200−2i−2i2i2i0000002i−2i00000000000000000000i2−i22−2−i2i2−22
χ362222-2-2-2-2-202-20020-22-2200−2i−2i2i2i0000002i−2i00000000000000000000−i2i2−22i2−i22−2
χ372-2-2222-2-2222-2-2-2-2200002-22i−2i2i−2i000000002i−2i000000002-200002i−2i0000000000
χ382-2-2222-2-2222-2-2-2-2200002-22i−2i2i−2i000000002i−2i00000000-220000−2i2i0000000000
χ392-2-2222-2-2222-2-2-2-2200002-2−2i2i−2i2i00000000−2i2i000000002-20000−2i2i0000000000
χ402-2-2222-2-2222-2-2-2-2200002-2−2i2i−2i2i00000000−2i2i00000000-2200002i−2i0000000000
χ412-2-2222-2-22-22-222-2-20000-222i−2i2i−2i00000000−2i2i0000002-200002i−2i000000000000
χ422-2-2222-2-22-22-222-2-20000-222i−2i2i−2i00000000−2i2i000000-220000−2i2i000000000000
χ432-2-2222-2-22-22-222-2-20000-22−2i2i−2i2i000000002i−2i0000002-20000−2i2i000000000000
χ442-2-2222-2-22-22-222-2-20000-22−2i2i−2i2i000000002i−2i000000-2200002i−2i000000000000
χ454444-4-4-4-440-4400-404-4-44000000000000000000000000000000000000000000
χ464444-4-4-4-440-4400-40-444-4000000000000000000000000000000000000000000
χ4744-4-44-44-404004-40-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ4844-4-44-44-404004-40-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ4944-4-44-44-40-400-4404000000000000000000000022−22−222200000000000000000000
χ5044-4-44-44-40-400-44040000000000000000000000−222222−2200000000000000000000
χ514-44-44-4-440400-440-4000000000000004i−4i000000000000000000000000000000
χ524-44-44-4-440400-440-400000000000000−4i4i000000000000000000000000000000
χ534-44-44-4-440-4004-4040000000000004-400000000000000000000000000000000
χ544-44-44-4-440-4004-404000000000000-4400000000000000000000000000000000
χ554-4-4444-4-4-44-44-4-4440000-440000000000000000000000000000000000000000
χ564-4-4444-4-4-4-4-44444-400004-40000000000000000000000000000000000000000
χ574-4-44-4-44440-4-40040000000000000000000004-4000000000000000000000000
χ584-4-44-4-44440-4-4004000000000000000000000-44000000000000000000000000
χ594-4-44-4-444-404400-400000004-4-44000000000000000000000000000000000000
χ604-4-44-4-444-404400-40000000-444-4000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-8-888-8000000000000000000000000000000000000000000000000000000

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