Finite Group Databasebeta

← Group #293764

Character table — Group #293764

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444444444444888888888888888844444444244444448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-11-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-111-11-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-1-11111-1-1-11
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-111-1-1111-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1111-1-111-1-111-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-111-11-1-1-1-1-11111-1-11-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1111-1-1-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11111-111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-2-2-222-2-2000000000000000022-2-20000200-200000000000000
χ1822222222222-2-2-2-2222-2-2-2-222-2-20000000000000000-2-2220000-200200000000000000
χ1922222222222-2-2-2-22-2-22222-2-2-2-2000000000000000022-2-20000-200200000000000000
χ2022222222222-2-2-2-22-2-22222-2-2-2-20000000000000000-2-2220000200-200000000000000
χ2122222222-2-2-22222-222-2-222-2-2-2-20000000000000000000022-2-20000200-20000000000
χ2222222222-2-2-22222-222-2-222-2-2-2-200000000000000000000-2-2220000-20020000000000
χ2322222222-2-2-22222-2-2-222-2-222-2-20000000000000000000022220000-200-20000000000
χ2422222222-2-2-22222-2-2-222-2-222-2-200000000000000000000-2-2-2-2000020020000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-22200000000000000000000000002-2002-200000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000-2200-2200000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000002-200-2200000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000-22002-200000000000
χ2922-2-222-2-20002-22-20002i−2i002i−2i00i2i2i2i2−i2−i2−i2−i22222−2−2−2−200002-22i−2i000000000000i2−i22−200
χ3022-2-222-2-20002-22-20002i−2i002i−2i00i2i2i2i2−i2−i2−i2−i22222−2−2−2−20000-22−2i2i000000000000−i2i2−2200
χ3122-2-222-2-20002-22-20002i−2i002i−2i00−i2−i2−i2−i2i2i2i2i2−2−2−2−2222200002-22i−2i000000000000−i2i2−2200
χ3222-2-222-2-20002-22-20002i−2i002i−2i00−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000-22−2i2i000000000000i2−i22−200
χ3322-2-222-2-20002-22-2000−2i2i00−2i2i00i2i2i2i2−i2−i2−i2−i2−2−2−2−2222200002-2−2i2i000000000000i2−i2−2200
χ3422-2-222-2-20002-22-2000−2i2i00−2i2i00i2i2i2i2−i2−i2−i2−i2−2−2−2−222220000-222i−2i000000000000−i2i22−200
χ3522-2-222-2-20002-22-2000−2i2i00−2i2i00−i2−i2−i2−i2i2i2i2i22222−2−2−2−200002-2−2i2i000000000000−i2i22−200
χ3622-2-222-2-20002-22-2000−2i2i00−2i2i00−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000-222i−2i000000000000i2−i2−2200
χ372-22-2-22-2222-22-2-22-2000000002-2000000002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i000000000000002-2000000
χ382-22-2-22-2222-22-2-22-2000000002-2000000002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i00000000000000-22000000
χ392-22-2-22-2222-22-2-22-2000000002-200000000−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i00000000000000-22000000
χ402-22-2-22-2222-22-2-22-2000000002-200000000−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i000000000000002-2000000
χ412-22-2-22-2222-2-222-2-200000000-222i2i−2i−2i2i2i−2i−2i000000002i−2i−2i2i0000000000002-200000000
χ422-22-2-22-2222-2-222-2-200000000-222i2i−2i−2i2i2i−2i−2i00000000−2i2i2i−2i000000000000-2200000000
χ432-22-2-22-2222-2-222-2-200000000-22−2i−2i2i2i−2i−2i2i2i000000002i−2i−2i2i000000000000-2200000000
χ442-22-2-22-2222-2-222-2-200000000-22−2i−2i2i2i−2i−2i2i2i00000000−2i2i2i−2i0000000000002-200000000
χ45444-4-4-44-44-440000-4000000000022−2222−2222−2222−220000000000000000000000000000000000
χ46444-4-4-44-44-440000-40000000000−2222−2222−2222−22220000000000000000000000000000000000
χ47444-4-4-44-4-44-4000040000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000
χ48444-4-4-44-4-44-400004000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000
χ4944-44-4-4-44000000004-4000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5044-44-4-4-44000000004-400000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5144-44-4-4-4400000000-44000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5244-44-4-4-4400000000-4400000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5344-4-444-4-4000-44-440004i−4i00−4i4i00000000000000000000000000000000000000000000
χ5444-4-444-4-4000-44-44000−4i4i004i−4i00000000000000000000000000000000000000000000
χ554-4444-4-4-44-4-40000400000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ564-4444-4-4-44-4-4000040000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ574-4444-4-4-4-4440000-400000000000000000022−22−222222−22−222200000000000000000000000000
χ584-4444-4-4-4-4440000-4000000000000000000−222222−22−222222−2200000000000000000000000000
χ594-44-4-44-44-4-444-4-44400000000-44000000000000000000000000000000000000000000
χ604-44-4-44-44-4-44-444-44000000004-4000000000000000000000000000000000000000000
χ614-4-44-444-400044-4-400000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ624-4-44-444-400044-4-40000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ634-4-44-444-4000-4-444000000000002222−22−22−22−2222220000000000000000000000000000000000
χ644-4-44-444-4000-4-44400000000000−22−2222222222−22−220000000000000000000000000000000000
χ654-4-4-44-4440000000000004-400002-2-22-222-22-2-22-222-200000000000000000000000000
χ664-4-4-44-4440000000000004-40000-222-22-2-22-222-22-2-2200000000000000000000000000
χ674-4-4-44-444000000000000-4400002-2-22-222-2-222-22-2-2200000000000000000000000000
χ684-4-4-44-444000000000000-440000-222-22-2-222-2-22-222-200000000000000000000000000

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