Finite Group Databasebeta

← Group #329076

Character table — Group #329076

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444444444448888888822448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111111-1-1-1-1111-1-11-1-1111-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ101111111111111-1-1-1-1111-1-11-1-1111-1-111-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ111111111111111-1-1-1-1111-1-11-1-1111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-11
χ121111111111111-1-1-1-1111-1-11-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1111-1
χ131111111111111-1-1-1-1111-1-11-1-11-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-11
χ141111111111111-1-1-1-1111-1-11-1-11-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ151111111111111-1-1-1-1111-1-11-1-11-1-111-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ161111111111111-1-1-1-1111-1-11-1-11-1-111-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ1722222222222-2-22222-2-22-2-2-222-2000022-20000-2-2-2-2220000000000000000000000
χ1822222222222-2-22222-2-22-2-2-222-20000-2-2-200002222-2-20000000000000000000000
χ1922222222222-2-2-2-2-2-2-2-2222-2-2-2-200002220000-2-222-2-20000000000000000000000
χ2022222222222-2-2-2-2-2-2-2-2222-2-2-2-20000-2-22000022-2-2220000000000000000000000
χ2122222222-2-2-222222222-222-2-2-2-2222200-2-2-2-2-20000000000000000000000000000
χ2222222222-2-2-222222222-222-2-2-2-2-2-2-2-200-222220000000000000000000000000000
χ2322222222-2-2-222-2-2-2-222-2-2-2-222-222-2-2002-2-2220000000000000000000000000000
χ2422222222-2-2-222-2-2-2-222-2-2-2-222-2-2-22200222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-22-2-2200000020000000000000000002-22-20000000000
χ2622222222-2-2-2-2-22222-2-2-2-2-22-2-220000002000000000000000000-22-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-2000000000000000000-222-20000000000
χ2922-2-22-22-20002-22i2i−2i−2i2-202i−2i00002i−2i2-2000000000000022−2−2i2i2−i2−i200000000i2−i22−200
χ3022-2-22-22-20002-22i2i−2i−2i2-202i−2i00002i−2i2-20000000000000−2−222−i2−i2i2i200000000−i2i2−2200
χ3122-2-22-22-20002-22i2i−2i−2i2-202i−2i0000−2i2i-22000000000000022−2−2i2i2−i2−i200000000−i2i2−2200
χ3222-2-22-22-20002-22i2i−2i−2i2-202i−2i0000−2i2i-220000000000000−2−222−i2−i2i2i200000000i2−i22−200
χ3322-2-22-22-20002-2−2i−2i2i2i2-20−2i2i00002i−2i-22000000000000022−2−2−i2−i2i2i200000000i2−i2−2200
χ3422-2-22-22-20002-2−2i−2i2i2i2-20−2i2i00002i−2i-220000000000000−2−222i2i2−i2−i200000000−i2i22−200
χ3522-2-22-22-20002-2−2i−2i2i2i2-20−2i2i0000−2i2i2-2000000000000022−2−2−i2−i2i2i200000000−i2i22−200
χ3622-2-22-22-20002-2−2i−2i2i2i2-20−2i2i0000−2i2i2-20000000000000−2−222i2i2−i2−i200000000i2−i2−2200
χ372-22-2-2-22222-2002-22-200-20002-20000000000002i−2i2i−2i002−22−22−22−20000i2−i2i2−i2000000
χ382-22-2-2-22222-2002-22-200-20002-20000000000002i−2i2i−2i00−22−22−22−220000−i2i2−i2i2000000
χ392-22-2-2-22222-2002-22-200-20002-2000000000000−2i2i−2i2i002−22−22−22−20000−i2i2−i2i2000000
χ402-22-2-2-22222-2002-22-200-20002-2000000000000−2i2i−2i2i00−22−22−22−220000i2−i2i2−i2000000
χ412-22-2-2-22222-200-22-2200-2000-220000000000002i−2i−2i2i002−22−2−22−220000i2−i2−i2i2000000
χ422-22-2-2-22222-200-22-2200-2000-220000000000002i−2i−2i2i00−22−222−22−20000−i2i2i2−i2000000
χ432-22-2-2-22222-200-22-2200-2000-22000000000000−2i2i2i−2i002−22−2−22−220000−i2i2i2−i2000000
χ442-22-2-2-22222-200-22-2200-2000-22000000000000−2i2i2i−2i00−22−222−22−20000i2−i2−i2i2000000
χ45444-4-44-4-44-44440000-4-4-400-4004000000000000000000000000000000000000000
χ46444-4-44-4-44-44-4-4000044-400400-4000000000000000000000000000000000000000
χ47444-4-44-4-4-44-4440000-4-4400400-4000000000000000000000000000000000000000
χ48444-4-44-4-4-44-4-4-4000044400-4004000000000000000000000000000000000000000
χ4944-44-4-4-440004-40000-44000000000000004i−4i000000000000000000000000000000
χ5044-44-4-4-440004-40000-4400000000000000−4i4i000000000000000000000000000000
χ5144-44-4-4-44000-4400004-400000000000000004i−4i0000000000000000000000000000
χ5244-44-4-4-44000-4400004-40000000000000000−4i4i0000000000000000000000000000
χ5344-4-44-44-4000-444i4i−4i−4i-440−4i4i0000000000000000000000000000000000000000000
χ5444-4-44-44-4000-44−4i−4i4i4i-4404i−4i0000000000000000000000000000000000000000000
χ554-4444-4-4-44-4-40000000040000000000000000000004i−4i0000000000000000000000
χ564-4444-4-4-44-4-4000000004000000000000000000000−4i4i0000000000000000000000
χ574-4444-4-4-4-44400000000-400000000004-4000000000000000000000000000000000
χ584-4444-4-4-4-44400000000-40000000000-44000000000000000000000000000000000
χ594-44-4-4-444-4-44004-44-4004000-440000000000000000000000000000000000000000
χ604-44-4-4-444-4-4400-44-440040004-40000000000000000000000000000000000000000
χ614-4-44-444-4000004i−4i−4i4i000000000000000000000000002-2-222i−2i−2i2i00000000000000
χ624-4-44-444-4000004i−4i−4i4i00000000000000000000000000-222-2−2i2i2i−2i00000000000000
χ634-4-44-444-400000−4i4i4i−4i000000000000000000000000002-2-22−2i2i2i−2i00000000000000
χ644-4-44-444-400000−4i4i4i−4i00000000000000000000000000-222-22i−2i−2i2i00000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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