Finite Group Databasebeta

← Group #72262390

Character table — Group #72262390

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111122224444488888888888888888816161616161616161616161616323232323232323232323232323232323232323264646464646464646464646464646464
order12222222222222222222222444444442224444444444244444444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-111-11-11111-1-1-1-1111111-1-1-1-11-1-1-1iiii−i−i−i−i111-1-1ii−i−ii−ii−i11-1-1ii−i−i11-1-1ii−i−iii−i−i11-1-1
χ101111-1-1-1-111-11-11111-1-1-1-1111111-1-1-1-11-1-1-1iiii−i−i−i−i111-1-1ii−i−i−ii−ii11-1-1−i−iii-1-111ii−i−i−i−iii-1-111
χ111111-1-1-1-111-11-11111-1-1-1-1111111-1-1-1-11-1-1-1iiii−i−i−i−i1-1-111ii−i−ii−ii−i-1-111ii−i−i11-1-1−i−iii−i−iii-1-111
χ121111-1-1-1-111-11-11111-1-1-1-1111111-1-1-1-11-1-1-1iiii−i−i−i−i1-1-111ii−i−i−ii−ii-1-111−i−iii-1-111−i−iiiii−i−i11-1-1
χ131111-1-1-1-111-11-11111-1-1-1-1111111-1-1-1-11-1-1-1−i−i−i−iiiii111-1-1−i−iiii−ii−i11-1-1ii−i−i-1-111−i−iiiii−i−i-1-111
χ141111-1-1-1-111-11-11111-1-1-1-1111111-1-1-1-11-1-1-1−i−i−i−iiiii111-1-1−i−iii−ii−ii11-1-1−i−iii11-1-1−i−iii−i−iii11-1-1
χ151111-1-1-1-111-11-11111-1-1-1-1111111-1-1-1-11-1-1-1−i−i−i−iiiii1-1-111−i−iiii−ii−i-1-111ii−i−i-1-111ii−i−i−i−iii11-1-1
χ161111-1-1-1-111-11-11111-1-1-1-1111111-1-1-1-11-1-1-1−i−i−i−iiiii1-1-111−i−iii−ii−ii-1-111−i−iii11-1-1ii−i−iii−i−i-1-111
χ172222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-200000000-2000000000000000000000000000000002i−2i2i−2i
χ182222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222-200000000-200000000000000000000000000000000−2i2i−2i2i
χ19222222222222222-2-222222222-2-222-2-2-2-2-2-222222222-20000-2-2-2-20000000000000000000000000000
χ20222222222222222-2-222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022220000000000000000000000000000
χ21222222222222222-2-222-2-2-2-2-2-222-2-222-2-2-2200000000200000000000000000000000000002-22-20000
χ22222222222222222-2-222-2-2-2-2-2-222-2-222-2-2-220000000020000000000000000000000000000-22-220000
χ232222222222222-2-222-2-22222-2-2-2-2-2-2-2-2-22-22000000002000000000000000000002-22-2000000000000
χ242222222222222-2-222-2-22222-2-2-2-2-2-2-2-2-22-2200000000200000000000000000000-22-22000000000000
χ252222222222222-2-222-2-2-2-2-2-222222222-22-2-200000000-2222200000000-2-2-2-200000000000000000000
χ262222222222222-2-222-2-2-2-2-2-222222222-22-2-200000000-2-2-2-2-200000000222200000000000000000000
χ272222222222222-2-2-2-2-2-22222-2-222-2-2222-22-200000000-20000000022220000-2-2-2-20000000000000000
χ282222222222222-2-2-2-2-2-22222-2-222-2-2222-22-200000000-200000000-2-2-2-2000022220000000000000000
χ292222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-22-2220000000020000000000000000000000002-22-200000000
χ302222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-22-222000000002000000000000000000000000-22-2200000000
χ312222-2-2-2-222-22-22222-2-222-2-2-2-2-2-222222-2-2200000000-2000000000000000000000000000000002i−2i−2i2i
χ322222-2-2-2-222-22-22222-2-222-2-2-2-2-2-222222-2-2200000000-200000000000000000000000000000000−2i2i2i−2i
χ332222-2-2-2-222-22-222-2-2-2-222-2-2-2-22222-2-2-222-200000000200000000000000000000000000002i−2i−2i2i0000
χ342222-2-2-2-222-22-222-2-2-2-222-2-2-2-22222-2-2-222-20000000020000000000000000000000000000−2i2i2i−2i0000
χ352222-2-2-2-222-22-222-2-2-2-2-2-22222-2-2-2-222-22222i2i2i2i−2i−2i−2i−2i-20000−2i−2i2i2i0000000000000000000000000000
χ362222-2-2-2-222-22-222-2-2-2-2-2-22222-2-2-2-222-2222−2i−2i−2i−2i2i2i2i2i-200002i2i−2i−2i0000000000000000000000000000
χ372222-2-2-2-222-22-2-2-2222222-2-22222-2-2-2-2-2-22200000000-222-2-200000000-2-22200000000000000000000
χ382222-2-2-2-222-22-2-2-2222222-2-22222-2-2-2-2-2-22200000000-2-2-2220000000022-2-200000000000000000000
χ392222-2-2-2-222-22-2-2-22222-2-222-2-2-2-22222-2-22-2000000002000000000000000000002-2-22000000000000
χ402222-2-2-2-222-22-2-2-22222-2-222-2-2-2-22222-2-22-200000000200000000000000000000-222-2000000000000
χ412222-2-2-2-222-22-2-2-2-2-22222-2-222-2-2-2-22222-2-20000000020000000000000000000000002i−2i−2i2i00000000
χ422222-2-2-2-222-22-2-2-2-2-22222-2-222-2-2-2-22222-2-2000000002000000000000000000000000−2i2i2i−2i00000000
χ432222-2-2-2-222-22-2-2-2-2-222-2-222-2-22222-2-222-2200000000-2000000002i−2i2i−2i0000−2i−2i2i2i0000000000000000
χ442222-2-2-2-222-22-2-2-2-2-222-2-222-2-22222-2-222-2200000000-200000000−2i2i−2i2i00002i2i−2i−2i0000000000000000
χ45444444444-4-4-4-40000000000004-4004-4000022-2-222-2-2000002-22-20000000000000000000000000000
χ46444444444-4-4-4-40000000000004-4004-40000-2-222-2-22200000-22-220000000000000000000000000000
χ47444444444-4-4-4-4000000000000-4400-44000022-2-222-2-200000-22-220000000000000000000000000000
χ48444444444-4-4-4-4000000000000-4400-440000-2-222-2-222000002-22-20000000000000000000000000000
χ49444444-4-4-444-4-400000000004-4004-4000000000000000000000002i−2i−2i2i00002i−2i2i−2i0000000000000000
χ50444444-4-4-444-4-400000000004-4004-400000000000000000000000−2i2i2i−2i0000−2i2i−2i2i0000000000000000
χ51444444-4-4-444-4-40000000000-4400-44000000000000000000000002i−2i−2i2i0000−2i2i−2i2i0000000000000000
χ52444444-4-4-444-4-40000000000-4400-4400000000000000000000000−2i2i2i−2i00002i−2i2i−2i0000000000000000
χ53444444-4-4-4-4-4440000004-44-40000000000000000000002-22-2000000002-22-200000000000000000000
χ54444444-4-4-4-4-4440000004-44-4000000000000000000000-22-2200000000-22-2200000000000000000000
χ55444444-4-4-4-4-444000000-44-440000000000000000000002-22-200000000-22-2200000000000000000000
χ56444444-4-4-4-4-444000000-44-44000000000000000000000-22-22000000002-22-200000000000000000000
χ574444-4-444-44-4-4400000000004-400-440000000000000000000000022-2-200002-2-220000000000000000
χ584444-4-444-44-4-4400000000004-400-4400000000000000000000000-2-2220000-222-20000000000000000
χ594444-4-444-44-4-440000000000-44004-40000000000000000000000022-2-20000-222-20000000000000000
χ604444-4-444-44-4-440000000000-44004-400000000000000000000000-2-22200002-2-220000000000000000
χ614444-4-444-4-444-40000004-4-440000000000000000000002-2-2200000000-222-200000000000000000000
χ624444-4-444-4-444-40000004-4-44000000000000000000000-222-2000000002-2-2200000000000000000000
χ634444-4-444-4-444-4000000-444-40000000000000000000002-2-22000000002-2-2200000000000000000000
χ644444-4-444-4-444-4000000-444-4000000000000000000000-222-200000000-222-200000000000000000000
χ654444-4-4-4-44-44-440000000000004-400-4400002i2i−2i−2i−2i−2i2i2i000002i−2i−2i2i0000000000000000000000000000
χ664444-4-4-4-44-44-440000000000004-400-440000−2i−2i2i2i2i2i−2i−2i00000−2i2i2i−2i0000000000000000000000000000
χ674444-4-4-4-44-44-44000000000000-44004-400002i2i−2i−2i−2i−2i2i2i00000−2i2i2i−2i0000000000000000000000000000
χ684444-4-4-4-44-44-44000000000000-44004-40000−2i−2i2i2i2i2i−2i−2i000002i−2i−2i2i0000000000000000000000000000
χ6988-8-8008-8000004-4004-40000000000000000004i−4i004i−4i0000000000000000000000000000000000000
χ7088-8-8008-8000004-4004-4000000000000000000−4i4i00−4i4i0000000000000000000000000000000000000
χ7188-8-8008-800000-4400-4400000000000000004i−4i004i−4i000000000000000000000000000000000000000
χ7288-8-8008-800000-4400-440000000000000000−4i4i00−4i4i000000000000000000000000000000000000000
χ7388-8-800-88000004-400-440000000000000000004-400-440000000000000000000000000000000000000
χ7488-8-800-88000004-400-44000000000000000000-44004-40000000000000000000000000000000000000
χ7588-8-800-8800000-44004-400000000000000004-400-44000000000000000000000000000000000000000
χ7688-8-800-8800000-44004-40000000000000000-44004-4000000000000000000000000000000000000000
χ7716-1616-16000000000008-8000000000000000000000000000000000000000000000000000000000000000
χ7816-1616-1600000000000-88000000000000000000000000000000000000000000000000000000000000000
χ7916-16-161616-1600000000000000000000000000000000000000000000000000000000000000000000000000
χ8016-16-1616-161600000000000000000000000000000000000000000000000000000000000000000000000000

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