Finite Group Databasebeta

← Group #72324156

Character table — Group #72324156

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155
size1122244444488888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464646464128128128128256256256256256256256256256256256256
order12222222222222222222222222222222222222222222222444444444444444444442222244444444444444444442444444444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11111-1-1-111-111-1-1-1111111-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-111i−i-1-1iii−i−i−i
χ6111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11111-1-1-111-111-1-1-1111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-1-1-111−ii-1-1−i−i−iiii
χ7111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1111-1-1−ii11−i−i−iiii
χ8111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1111-1-1i−i11iii−i−i−i
χ91111111111111111111111-1-1-1-111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11-1-11111-1-111-1-1-1-1-1-1111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-1-1
χ101111111111111111111111-1-1-1-111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11-1-11111-1-111-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-111
χ111111111111111111111111-1-1-1-111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11-1-11111-1-111-1-1-1-1-1-1111-1-11-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-111
χ121111111111111111111111-1-1-1-111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11-1-11111-1-111-1-1-1-1-1-1111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-11-1-1
χ131111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1-1-1-1-1-111-111-1111111-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1i−i11i−i−i−iii
χ141111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1-1-1-1-1-111-111-1111111-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1−ii11−iiii−i−i
χ151111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii111111−ii-1-1−iiii−i−i
χ161111111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i111111i−i-1-1i−i−i−iii
χ171111111111111111-1-1-1-1-1-111-1-111111111-1-1-11-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-111-111-1-11-1111-111-1-111111-111-11-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-1111-1-11-1-11-1
χ181111111111111111-1-1-1-1-1-111-1-111111111-1-1-11-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-111-111-1-11-1111-111-1-111111-111-11-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11-1-1-11-11-111-11
χ191111111111111111-1-1-1-1-1-111-1-111111111-1-1-11-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-111-111-1-11-1111-111-1-1111-1-1-1-1-1-11-111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-1-1-111-111-11
χ201111111111111111-1-1-1-1-1-111-1-111111111-1-1-11-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111-1-111-1-11-111-111-1-11-1111-111-1-1111-1-1-1-1-1-11-111111-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1111-11-11-1-11-1
χ211111111111111111-1-1-1-1-1-111-1-11-1-1-1-1111-1-1-11-111-1-11111-1-1-1-11111-1-11111-1-11111-1-11-1-1-1111-1-11-1-1-1-1111-1-1-1-1-1111111-11-1-1-1-11-1-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1111-1i−i-11−ii−ii−ii
χ221111111111111111-1-1-1-1-1-111-1-11-1-1-1-1111-1-1-11-111-1-11111-1-1-1-11111-1-11111-1-11111-1-11-1-1-1111-1-11-1-1-1-1111-1-1-1-1-1111111-11-1-1-1-11-1-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1111-1−ii-11i−ii−ii−i
χ231111111111111111-1-1-1-1-1-111-1-11-1-1-1-1111-1-1-11-111-1-11111-1-1-1-11111-1-11111-1-11111-1-11-1-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-11-1-11-1111111-1-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-11−ii1-1i−ii−ii−i
χ241111111111111111-1-1-1-1-1-111-1-11-1-1-1-1111-1-1-11-111-1-11111-1-1-1-11111-1-11111-1-11111-1-11-1-1-1111-1-11-1-1-1-1111-1-1-1-1-1-1-11-1-11-1111111-1-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-11i−i1-1−ii−ii−ii
χ251111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-111-1111-1-1-1111-11-1-11111111-111-1-11-1-1-1-1-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1111-11-1-11-1-11
χ261111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-111-1111-1-1-1111-11-1-11111111-111-1-11-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-11-1-1-1111-111-1
χ271111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-111-1111-1-1-1111-11-1-111111-1-1-1-1-1-1-111111-11-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-11-111-111-1
χ281111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-111-1111-1-1-1111-11-1-111111-1-1-1-1-1-1-111111-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-1111-1-1-11-1-11
χ291111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111111111-1-111-1-1-11-11-111-1-1-11-1-11-1-1-111-1-1-11111111-1-1-1-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-11i−i1-1−i−iiii−i
χ301111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111111111-1-111-1-1-11-11-111-1-1-11-1-11-1-1-111-1-1-11111111-1-1-1-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-11−ii1-1ii−i−i−ii
χ311111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111111111-1-111-1-1-11-11-111-1-1-11-1-11-1-1-111-1-1-1-1-11-1-111-11111-111-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-11-1−ii-11ii−i−i−ii
χ321111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-111-1-111111111-1-111-1-1-11-11-111-1-1-11-1-11-1-1-111-1-1-1-1-11-1-111-11111-111-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-11-1i−i-11−i−iiii−i
χ3322222222222222222222-2-200002222222222-200-2-20000-2-2-2-222-2-2000022220000-2-22200200-2-2-2-200-2-20000002-2-200-2002000000000022-2-222-2-20000000022-2-222-2-2000000000000000000000000
χ3422222222222222222222-2-200002222222222-200-2-20000-2-2-2-222-2-2000022220000-2-22200200-2-2-2-200-2-20000002-2-200-20020000000000-2-222-2-22200000000-2-222-2-222000000000000000000000000
χ3522222222222222222222-2-200002-2-2-2-222222-200220000-2-2-2-2-2-2220000-2-2-2-20000-2-22200-200-2-2-2-20022000000-22200200-200000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3622222222222222222222-2-200002-2-2-2-222222-200220000-2-2-2-2-2-2220000-2-2-2-20000-2-22200-200-2-2-2-20022000000-22200200-20000000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ372222222222222222-2-2-2-222000022222222-2-2200220000-2-22222220000-2-2-2-20000-2-2-2-200200-2-22200-2-20000002-2-200200-2000000000022-2-2-2-2220000000022-2-2-2-222000000000000000000000000
χ382222222222222222-2-2-2-222000022222222-2-2200220000-2-22222220000-2-2-2-20000-2-2-2-200200-2-22200-2-20000002-2-200200-20000000000-2-22222-2-200000000-2-22222-2-2000000000000000000000000
χ392222222222222222-2-2-2-22200002-2-2-2-2222-2-2200-2-20000-2-222-2-2-2-2000022220000-2-2-2-200-200-2-2220022000000-22200-200200000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ402222222222222222-2-2-2-22200002-2-2-2-2222-2-2200-2-20000-2-222-2-2-2-2000022220000-2-2-2-200-200-2-2220022000000-22200-20020000000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4122222222222222-2-2222222222222222-2-2-2222222222222222222222222222222222-2-222-222-2-2-2-2222222-2-2-2-2-2-2-200-200-2-2-20000-2-2-2-2000000000000000000000000000000000000000000000000
χ4222222222222222-2-222222222222-2-2-2-2-2-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2222-2-2-2-2-2-222-2-2-2-2-2-2-2-2222002002220000-2-222000000000000000000000000000000000000000000000000
χ4322222222222222-2-2222222-2-2-2-222222-2-2-2222-2-222-2-2-2-222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-200-200-22200002222000000000000000000000000000000000000000000000000
χ4422222222222222-2-2222222-2-2-2-22-2-2-2-2-2-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222-2-2-2-2-2-2-2-2222222222002002-2-2000022-2-2000000000000000000000000000000000000000000000000
χ4522222222222222-2-22222-2-2000022222-2-2-222-200-2-20000-2-2-2-222-2-2000022220000-2-2-2-200-200222200-2-2000000-22200200-200000000000000000022-2-222-2-20000000022-2-222-2-20000000000000000
χ4622222222222222-2-22222-2-2000022222-2-2-222-200-2-20000-2-2-2-222-2-2000022220000-2-2-2-200-200222200-2-2000000-22200200-2000000000000000000-2-222-2-22200000000-2-222-2-2220000000000000000
χ4722222222222222-2-22222-2-200002-2-2-2-2-2-2-222-200220000-2-2-2-2-2-2220000-2-2-2-20000-2-2-2-200200222200220000002-2-200-20020000000000000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4822222222222222-2-22222-2-200002-2-2-2-2-2-2-222-200220000-2-2-2-2-2-2220000-2-2-2-20000-2-2-2-200200222200220000002-2-200-2002000000000000000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ4922222222222222-2-2-2-2-2-222000022222-2-2-2-2-2200220000-2-22222220000-2-2-2-20000-2-22200-20022-2-200-2-2000000-22200-200200000000000000000022-2-2-2-2220000000022-2-2-2-2220000000000000000
χ5022222222222222-2-2-2-2-2-222000022222-2-2-2-2-2200220000-2-22222220000-2-2-2-20000-2-22200-20022-2-200-2-2000000-22200-2002000000000000000000-2-22222-2-200000000-2-22222-2-20000000000000000
χ5122222222222222-2-2-2-2-2-22200002-2-2-2-2-2-2-2-2-2200-2-20000-2-222-2-2-2-2000022220000-2-2220020022-2-200220000002-2-200200-20000000000000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ5222222222222222-2-2-2-2-2-22200002-2-2-2-2-2-2-2-2-2200-2-20000-2-222-2-2-2-2000022220000-2-2220020022-2-200220000002-2-200200-2000000000000000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ5322222222222222-2-2-2-2-2-2-2-222-2-222222-2-2-2-2-2-22-2-2-222-2-222-2-222-2-222-2-2-2-2-2-222-2-222222-2-22-2-2-2222-2222-2-2-222-2-2-2002002-220000-22-22000000000000000000000000000000000000000000000000
χ5422222222222222-2-2-2-2-2-2-2-222-2-22-2-2-2-2-2-2-2-2-2-22-222-2-22222-2-2-2-22222-2-22222-2-22222222-22-22-2-2222-2-2-2-22-2-22222200-200-22-20000-222-2000000000000000000000000000000000000000000000000
χ5522222222222222-2-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-22-2-2-2-22222-2-222-2-2-2-222-2-2-2-2-2-2222222-22-2-22-2-222-2222-2222-2-2-2-2-20020022-200002-22-2000000000000000000000000000000000000000000000000
χ5622222222222222-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-222222-2-222-2-2-2-222-2-222222222-2-22222-2222-2-2-222-22-2-22-222-2-222200-200-2-2200002-2-22000000000000000000000000000000000000000000000000
χ5722222-2222-222-2-2220000000022-222222-2-2000020000222-200-2-2000022000000222-2000-220-22-2000-22-20-20022-22-20000000-200000-2022-22-2000000002-22-22-22-2000000002-22-20000000000000000
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Here i is the imaginary unit (i² = −1).