Finite Group Databasebeta

← Group #72316962

Character table — Group #72316962

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size1111222222222244444444444444444488888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323264646464128128128128128128128128
order1222222222222222222222222222222222222222222222222222222222444444444444444444444444444422444444444444444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ91111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111-1-1111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1
χ101111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-111-1-111
χ111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111
χ121111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1
χ131111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ141111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-111-1-1
χ151111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ161111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ171111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-11-11-1-1-111-1-111-1-111-1-111-1-11-11-1ii−i−iii−i−i111-11111-1-111-1-1-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−ii−ii−ii−ii−i11-1-11-11-1i−ii−i
χ181111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-11-11-1-1-111-1-111-1-111-1-111-1-11-11-1ii−i−iii−i−i-1-11-1-1-111-1-111-1-11111i−ii−iii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiiii−ii−ii−ii−i-1-111-11-11−ii−ii
χ191111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-11-11-1-1-111-1-111-1-111-1-111-1-11-11-1−i−iii−i−iii111-11111-1-111-1-1-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−ii−ii−ii−ii11-1-11-11-1−ii−ii
χ201111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-11-11-1-1-111-1-111-1-111-1-111-1-11-11-1−i−iii−i−iii-1-11-1-1-111-1-111-1-11111−ii−ii−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i−ii−ii−ii−ii-1-111-11-11i−ii−i
χ211111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-1-11-11-1-111-1-1-1-111-1-11111-1-1-11-11ii−i−iii−i−i111-111-1-111-1-111-1-1-1-1−ii−iiii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−ii−ii−i−ii−ii11-1-1-11-11−ii−ii
χ221111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-1-11-11-1-111-1-1-1-111-1-11111-1-1-11-11ii−i−iii−i−i-1-11-1-1-1-1-111-1-1111111−ii−iiii−i−iii−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiii−ii−i−ii−ii-1-1111-11-1i−ii−i
χ231111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-1-11-11-1-111-1-1-1-111-1-11111-1-1-11-11−i−iii−i−iii111-111-1-111-1-111-1-1-1-1i−ii−i−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii−ii−iii−ii−i11-1-1-11-11i−ii−i
χ241111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-1-11-11-1-111-1-1-1-111-1-11111-1-1-11-11−i−iii−i−iii-1-11-1-1-1-1-111-1-1111111i−ii−i−i−iii−i−iiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−ii−iii−ii−i-1-1111-11-1−ii−ii
χ251111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1111-1-11-1-1-1-11111-1-1-1-11111-1-11-1-11ii−i−i−i−iii11-111111-1-1-1-111-1-1-1-1i−i−iiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiii−i−iii−i−ii-1-1111-1-11i−i−ii
χ261111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1111-1-11-1-1-1-11111-1-1-1-11111-1-11-1-11ii−i−i−i−iii-1-1-11-1-111-1-1-1-1111111i−i−iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−ii−i−iii−i−ii11-1-1-111-1−iii−i
χ271111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1111-1-11-1-1-1-11111-1-1-1-11111-1-11-1-11−i−iiiii−i−i11-111111-1-1-1-111-1-1-1-1−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−iii−i−iii−i-1-1111-1-11−iii−i
χ281111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1111-1-11-1-1-1-11111-1-1-1-11111-1-11-1-11−i−iiiii−i−i-1-1-11-1-111-1-1-1-1111111−iii−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii−iii−i−iii−i11-1-1-111-1i−i−ii
χ291111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-111-1-1-1-1-111-1-11111-1-111-1-1-111-1ii−i−i−i−iii11-1111-1-11111-1-1-1-1-1-1−iii−iii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiiii−i−ii−iii−i-1-111-111-1−iii−i
χ301111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-111-1-1-1-1-111-1-11111-1-111-1-1-111-1ii−i−i−i−iii-1-1-11-1-1-1-11111-1-11111−iii−iii−i−i−i−iii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iii−i11-1-11-1-11i−i−ii
χ311111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-111-1-1-1-1-111-1-11111-1-111-1-1-111-1−i−iiiii−i−i11-1111-1-11111-1-1-1-1-1-1i−i−ii−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i−iii−ii−i−ii-1-111-111-1i−i−ii
χ321111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-111-1-1-1-1-111-1-11111-1-111-1-1-111-1−i−iiiii−i−i-1-1-11-1-1-1-11111-1-11111i−i−ii−i−iiiii−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−ii11-1-11-1-11−iii−i
χ3322222222222222222222222222222222222222222222-2-2-2-222220000-2-2-2-2-2-200000000-2-2-2-200002222222200-2-2000000000000000000-2-2-2-2-2-2-2-200000000000000000000000022220000000000000000
χ3422222222222222222222222222222222222222222222-2-2-2-222220000-2-2-2-2-2-200000000-2-2-2-20000-2-2-2-2-2-2-2-200-2-200000000000000000022222222000000000000000000000000-2-2-2-20000000000000000
χ35222222222222222222222222-2-2-222-2-2-2-2-2-2-2-2-2222-2-2-22222-2-2222-22-22222-2-222-2-222-2-2-2-2-2-22-22-20000000000-2200-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ36222222222222222222222222-2-2-222-2-2-2-2-2-2-2-2-2222-2-2-22222-2-222-22-222222-2-2-2-222-2-222-2-2-2-2-22-220000000000-220022-2-222-2-2000000000000000000000000000000000000000000000000000000000000
χ37222222222222222222222222-2-2-222-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2220000-2-2-2-222000000002222000000000000002-2000000000000002i−2i2i−2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i000000000000
χ38222222222222222222222222-2-2-222-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2220000-2-2-2-222000000002222000000000000002-200000000000000−2i2i−2i2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i000000000000
χ392222222222222222222222-2-222-222-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-22-2-2222-2-22222-2-2-2-222-2-2-2-22-2-2200000000002-200-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ402222222222222222222222-2-222-222-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-222-222-2-222-2-22222-2-2-2-2-2-2-222-200000000002-20022-2-2-2-222000000000000000000000000000000000000000000000000000000000000
χ412222222222222222222222-2-222-222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-222-2-20000-2-222-2-200000000222200000000000000-22000000000000002i−2i−2i2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000002i−2i−2i2i000000000000
χ422222222222222222222222-2-222-222-2-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-222-2-20000-2-222-2-200000000222200000000000000-2200000000000000−2i2i2i−2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000−2i2i2i−2i000000000000
χ432222222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2222200000000-2-2-2-200002222-2-2-2-20022000000000000000000-2-2-2-2222200000000000000000000000022-2-20000000000000000
χ442222222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2222200000000-2-2-2-20000-2-2-2-2222200220000000000000000002222-2-2-2-2000000000000000000000000-2-2220000000000000000
χ452222222222222222-2-2-2-2-2-222222-2-2222-2-2-2-2222222222222-2-2-2-22222-2-2222222222222-2-22222220000000000-2-200-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ462222222222222222-2-2-2-2-2-222222-2-2222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000-2-20022222222000000000000000000000000000000000000000000000000000000000000
χ472222222222222222-2-2-2-2-2-222222-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-2-2-20000000022-2-2000000000000002200000000000000222200000000-2-2-2-2-2-2-2-2000000000000000000002222000000000000
χ482222222222222222-2-2-2-2-2-222222-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2000022-2-2-2-20000000022-2-2000000000000002200000000000000-2-2-2-2000000002222222200000000000000000000-2-2-2-2000000000000
χ492222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2222-2-2-2-2-2-2-222-2-2000022-2-22200000000-2-22200002i2i−2i−2i2i2i−2i−2i00-22000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i0000000000000000
χ502222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2222-2-2-2-2-2-2-222-2-2000022-2-22200000000-2-2220000−2i−2i2i2i−2i−2i2i2i00-220000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i0000000000000000
χ512222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2222-2-2-2-2-2-22200002222-2-200000000-2-22200002i2i−2i−2i−2i−2i2i2i002-2000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000002i−2i−2i2i0000000000000000
χ522222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22222-2-2-2-2-2222-2-2-2-2-2-22200002222-2-200000000-2-2220000−2i−2i2i2i2i2i−2i−2i002-20000000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000−2i2i2i−2i0000000000000000
χ532222222222222222-2-2-2-2-2-2-2-2-2-22-2-2222-2-2-2-222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-200000000002200-2-2-2-22222000000000000000000000000000000000000000000000000000000000000
χ542222222222222222-2-2-2-2-2-2-2-2-2-22-2-2222-2-2-2-222-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-222-2-222000000000022002222-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ552222222222222222-2-2-2-2-2-2-2-2-2-22-2-2222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222200002222220000000022-2-200000000000000-2-20000000000000022-2-200000000-2-2-2-222220000000000000000000022-2-2000000000000
χ562222222222222222-2-2-2-2-2-2-2-2-2-22-2-2222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222200002222220000000022-2-200000000000000-2-200000000000000-2-222000000002222-2-2-2-200000000000000000000-2-222000000000000
χ572222222-2-2-2-2222-2-2222-2-2-2000022-222222-2-2-2-200000022-2-2000000222-200000000-2-2-2-22-22-200220000222200000000002-22-20000-2-20000002-22-22-22-20000000000000000000000-2-22200000000000000
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Here i is the imaginary unit (i² = −1).