Finite Group Databasebeta

← Group #262829

Character table — Group #262829

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244448888444444888888888844444444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-11111-111-1111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-111-1-1-1-1-1-11111-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ91111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-111-1-1-111-1-11111-1-1-1-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1111111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-111111111-1-1-1-1
χ131111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-111-1-1-1-1-11111-1-111-1-111
χ141111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-111-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-111111-1-111-1-1-1-1-1-111
χ17222222222-222-2-22-22222-2-222220000-2-2220000-2-2-2-200000000000000000000
χ18222222222-222-2-22-22222-2-2-2-2-2-20000-2-2-2-20000222200000000000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-22222000022-2-20000-2-22200000000000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-2-2-2-2-200002222000022-2-200000000000000000000
χ2122222222-22-2-222-2222-2-2-2-2000022-2-22-20000000000200-20000000000000000
χ2222222222-22-2-222-2222-2-2-2-20000-2-2222-20000000000-20020000000000000000
χ2322222222-22-2-222-22-2-222-2-2000022-2-2-220000000000-20020000000000000000
χ2422222222-22-2-222-22-2-222-2-20000-2-222-220000000000200-20000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200000000-22002i2i−2i−2i0000000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-22200000000-2200−2i−2i2i2i000000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000002-2002i2i−2i−2i000000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000002-200−2i−2i2i2i0000000000000000002i−2i0000
χ292222-2-2-2-2202-200-202-22-20022-2-20000002-20000000000000000002−22−2002−22−2
χ302222-2-2-2-2202-200-202-22-20022-2-20000002-2000000000000000000−22−2200−22−22
χ312222-2-2-2-2202-200-202-22-200-2-222000000-220000000000000000002−2−22002−2−22
χ322222-2-2-2-2202-200-202-22-200-2-222000000-22000000000000000000−222−200−222−2
χ332222-2-2-2-2202-200-20-22-220022-2-2000000-220000000000000000002−22−200−22−22
χ342222-2-2-2-2202-200-20-22-220022-2-2000000-22000000000000000000−22−22002−22−2
χ352222-2-2-2-2202-200-20-22-2200-2-2220000002-20000000000000000002−2−2200−222−2
χ362222-2-2-2-2202-200-20-22-2200-2-2220000002-2000000000000000000−222−2002−2−22
χ372-2-22-2-222-222-2-2-22200002-22-22-20000000000002-20002-20002-2000000000000
χ382-2-22-2-222-222-2-2-22200002-22-22-20000000000002-2000-22000-22000000000000
χ392-2-22-2-222-222-2-2-22200002-2-22-22000000000000-220002-2000-22000000000000
χ402-2-22-2-222-222-2-2-22200002-2-22-22000000000000-22000-220002-2000000000000
χ412-2-22-2-222-2-22-2222-20000-222-22-2000000000000-220000002-2002-20000000000
χ422-2-22-2-222-2-22-2222-20000-222-22-2000000000000-22000000-2200-220000000000
χ432-2-22-2-222-2-22-2222-20000-22-22-220000000000002-20000002-200-220000000000
χ442-2-22-2-222-2-22-2222-20000-22-22-220000000000002-2000000-22002-20000000000
χ454444-4-4-4-4-40-4400404-4-44000000000000000000000000000000000000000000
χ464444-4-4-4-4-40-440040-444-4000000000000000000000000000000000000000000
χ4744-4-44-44-404004-40-400000000000000000022−2222−22000000000000000000000000
χ4844-4-44-44-404004-40-4000000000000000000−2222−2222000000000000000000000000
χ4944-4-44-44-40-400-44040000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5044-4-44-44-40-400-4404000000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-44-4-444-40400-440-400000000004-40000000000000000000000000000000000
χ524-44-4-444-40400-440-40000000000-440000000000000000000000000000000000
χ534-44-4-444-40-4004-4040000000000004i−4i00000000000000000000000000000000
χ544-44-4-444-40-4004-404000000000000−4i4i00000000000000000000000000000000
χ554-4-4444-4-440-4-400400000000000000000000000004-400000000000000000000
χ564-4-4444-4-440-4-40040000000000000000000000000-4400000000000000000000
χ574-4-4444-4-4-404400-400000004-4-44000000000000000000000000000000000000
χ584-4-4444-4-4-404400-40000000-444-4000000000000000000000000000000000000
χ594-4-44-4-44444-44-4-4-440000-440000000000000000000000000000000000000000
χ604-4-44-4-4444-4-4444-4-400004-40000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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