Finite Group Databasebeta

← Group #328473

Character table — Group #328473

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444444444448888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111-1-1-1-1111-1-1-1-11111-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ101111111111111-1-1-1-1111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ111111111111111-1-1-1-1111-1-1-1-11111-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-1-11
χ121111111111111-1-1-1-1111-1-1-1-11111-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1111-1
χ131111111111111-1-1-1-1111-1-1-1-111-1-1-111-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-11
χ141111111111111-1-1-1-1111-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ151111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-1111-1
χ161111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-111-1-1-11
χ1722222222222-2-22222-2-22-2-222-2-200-2220000-2-2-2-200220000000000000000000000
χ1822222222222-2-22222-2-22-2-222-2-200-2-2-20000222200-2-20000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-2222-2-2-2-2002220000-2-22200-2-20000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-2222-2-2-2-2002-2-2000022-2-200220000000000000000000000
χ2122222222-2-2-222222222-222-2-2-2-222-200-2-2-2-2000022000000000000000000000000
χ2222222222-2-2-222222222-222-2-2-2-2-2-2-20022220000-2-2000000000000000000000000
χ2322222222-2-2-222-2-2-2-222-2-2-222-2-222200-2-2220000-2-2000000000000000000000000
χ2422222222-2-2-222-2-2-2-222-2-2-222-2-2-2-220022-2-2000022000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-22200200000000000000000000002-22-20000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-2220020000000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000-222-20000000000
χ292-2222-2-2-20002-22i2i−2i−2i2-202i−2i00002-2000000000002i−2i0022−2−2i2i2−i2−i2000000002−2i2−i200
χ302-2222-2-2-20002-22i2i−2i−2i2-202i−2i00002-2000000000002i−2i00−2−222−i2−i2i2i200000000−22−i2i200
χ312-2222-2-2-20002-22i2i−2i−2i2-202i−2i0000-2200000000000−2i2i0022−2−2i2i2−i2−i200000000−22−i2i200
χ322-2222-2-2-20002-22i2i−2i−2i2-202i−2i0000-2200000000000−2i2i00−2−222−i2−i2i2i2000000002−2i2−i200
χ332-2222-2-2-20002-2−2i−2i2i2i2-20−2i2i00002-200000000000−2i2i0022−2−2−i2−i2i2i2000000002−2−i2i200
χ342-2222-2-2-20002-2−2i−2i2i2i2-20−2i2i00002-200000000000−2i2i00−2−222i2i2−i2−i200000000−22i2−i200
χ352-2222-2-2-20002-2−2i−2i2i2i2-20−2i2i0000-22000000000002i−2i0022−2−2−i2−i2i2i200000000−22i2−i200
χ362-2222-2-2-20002-2−2i−2i2i2i2-20−2i2i0000-22000000000002i−2i00−2−222i2i2−i2−i2000000002−2−i2i200
χ372-2-22-222-222-2002-22-200-2002-2000000000002-22-20000i2−i2i2−i2i2−i2i2−i20000i2−i2i2−i2000000
χ382-2-22-222-222-2002-22-200-2002-2000000000002-22-20000−i2i2−i2i2−i2i2−i2i20000−i2i2−i2i2000000
χ392-2-22-222-222-2002-22-200-2002-200000000000-22-220000i2−i2i2−i2i2−i2i2−i20000−i2i2−i2i2000000
χ402-2-22-222-222-2002-22-200-2002-200000000000-22-220000−i2i2−i2i2−i2i2−i2i20000i2−i2i2−i2000000
χ412-2-22-222-222-200-22-2200-200-22000000000002-2-220000i2−i2i2−i2−i2i2−i2i20000i2−i2−i2i2000000
χ422-2-22-222-222-200-22-2200-200-22000000000002-2-220000−i2i2−i2i2i2−i2i2−i20000−i2i2i2−i2000000
χ432-2-22-222-222-200-22-2200-200-2200000000000-222-20000i2−i2i2−i2−i2i2−i2i20000−i2i2i2−i2000000
χ442-2-22-222-222-200-22-2200-200-2200000000000-222-20000−i2i2−i2i2i2−i2i2−i20000i2−i2−i2i2000000
χ45444-4-44-4-44-4400000000-40000000004-40000000000000000000000000000000000
χ46444-4-44-4-44-4400000000-4000000000-440000000000000000000000000000000000
χ47444-4-44-4-4-44-40000000040000000000000000000004i−4i0000000000000000000000
χ48444-4-44-4-4-44-4000000004000000000000000000000−4i4i0000000000000000000000
χ4944-44-4-4-44000004i−4i−4i4i000000000000000000000000002i−2i−2i2i-222-200000000000000
χ5044-44-4-4-44000004i−4i−4i4i00000000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ5144-44-4-4-4400000−4i4i4i−4i000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ5244-44-4-4-4400000−4i4i4i−4i00000000000000000000000000−2i2i2i−2i-222-200000000000000
χ5344-4-44-44-40004-40000-440000000000004i−4i00000000000000000000000000000000
χ5444-4-44-44-40004-40000-44000000000000−4i4i00000000000000000000000000000000
χ5544-4-44-44-4000-4400004-4000000000000004i−4i000000000000000000000000000000
χ5644-4-44-44-4000-4400004-400000000000000−4i4i000000000000000000000000000000
χ574-4444-4-4-4000-444i4i−4i−4i-440−4i4i0000000000000000000000000000000000000000000
χ584-4444-4-4-4000-44−4i−4i4i4i-4404i−4i0000000000000000000000000000000000000000000
χ594-4-44-444-4-4-44004-44-400400-4400000000000000000000000000000000000000000
χ604-4-44-444-4-4-4400-44-44004004-400000000000000000000000000000000000000000
χ614-4-4-444-444-4-4440000-4-440000-44000000000000000000000000000000000000000
χ624-4-4-444-444-4-4-4-4000044400004-4000000000000000000000000000000000000000
χ634-4-4-444-44-444440000-4-4-400004-4000000000000000000000000000000000000000
χ644-4-4-444-44-444-4-4000044-40000-44000000000000000000000000000000000000000
χ658-88-8-8-888000000000000000000000000000000000000000000000000000000000

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