Finite Group Databasebeta

← Group #72218144

Character table — Group #72218144

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size1111111122222222222244444444888888888888888888888888161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464
order12224444222222444444444444444444444444444444444444442244888888888888888888882222222444444444444444444444448888888888888888888888888888888888888816161616161616161616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1111111111111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-111111-111-1-1-111111-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-11111-11-1-111-11111-11-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1
χ911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111111-111-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11111-11-1-111-11111-111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1-1-11-1111111111111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1-111-1-1111-11-1111-1-1-1-1ii−i−iiiii−i−i−i−ii−ii−ii−ii−ii−i11-1-11111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i
χ181111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1-111-1-1-1-1-11-11111-1-111ii−i−iiiii−i−i−i−i−ii−iii−i−ii−ii11-1-11111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-1-111−i−iii-1-111−i−iii
χ191111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1-1-1-111111-11-11-1-111-1-1ii−i−i−i−i−i−iiiiii−ii−ii−ii−ii−i11-1-1-1-1-1-11111−i−i−i−iiiii1-11-1i−ii−i-1-111−i−iii-1-111−i−iii
χ201111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i11-1-1-1-1-111-1-1-11-111-1-11111ii−i−i−i−i−i−iiiii−ii−iii−i−ii−ii11-1-1-1-1-1-11111−i−i−i−iiiii-11-11−ii−ii11-1-1ii−i−i11-1-1ii−i−i
χ211111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-111−i−iii11-1-1iiii−i−i−i−i11-1-1111-1-11-11-1-11-111-1-1-11−i−iiiiiii−i−i−i−ii−i−ii−iii−i−ii-1-111-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1ii−i−i-1-111−i−iii
χ221111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-111−i−iii11-1-1iiii−i−i−i−i11-1-1111-1-1-11-111-1-111-1-11-1−i−iiiiiii−i−i−i−i−iii−i−ii−iii−i-1-111-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-111−i−iii11-1-1ii−i−i
χ231111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-111−i−iii11-1-1iiii−i−i−i−i11-1-11-1-1111-11-1-11-1-1-111-11−i−iii−i−i−i−iiiiii−i−ii−iii−i−ii-1-1111111-1-1-1-1iiii−i−i−i−i1-1-11i−i−ii-1-111−i−iii11-1-1ii−i−i
χ241111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1ii−i−iiiiiii−i−i−i−i−i−i11-1-1-1-111−i−iii11-1-1iiii−i−i−i−i11-1-11-1-111-11-111-1-1-1-1111-1−i−iii−i−i−i−iiiii−iii−i−ii−iii−i-1-1111111-1-1-1-1iiii−i−i−i−i-111-1−iii−i11-1-1ii−i−i-1-111−i−iii
χ251111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1-111-1-1111-11-1111-1-1-1-1−i−iii−i−i−i−iiiii−ii−ii−ii−ii−ii11-1-11111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii
χ261111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1-111-1-1-1-1-11-11111-1-111−i−iii−i−i−i−iiiiii−ii−i−iii−ii−i11-1-11111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-111ii−i−i-1-111ii−i−i
χ271111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1-1-1-111111-11-11-1-111-1-1−i−iiiiiii−i−i−i−i−ii−ii−ii−ii−ii11-1-1-1-1-1-11111iiii−i−i−i−i1-11-1−ii−ii-1-111ii−i−i-1-111ii−i−i
χ281111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii11-1-1-1-1-111-1-1-11-111-1-11111−i−iiiiiii−i−i−i−ii−ii−i−iii−ii−i11-1-1-1-1-1-11111iiii−i−i−i−i-11-11i−ii−i11-1-1−i−iii11-1-1−i−iii
χ291111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii11-1-1111-1-11-11-1-11-111-1-1-11ii−i−i−i−i−i−iiiii−iii−ii−i−iii−i-1-111-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1−i−iii-1-111ii−i−i
χ301111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii11-1-1111-1-1-11-111-1-111-1-11-1ii−i−i−i−i−i−iiiiii−i−iii−ii−i−ii-1-111-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-111ii−i−i11-1-1−i−iii
χ311111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii11-1-11-1-1111-11-1-11-1-1-111-11ii−i−iiiii−i−i−i−i−iii−ii−i−iii−i-1-1111111-1-1-1-1−i−i−i−iiiii1-1-11−iii−i-1-111ii−i−i11-1-1−i−iii
χ321111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-111-1-1−i−iii−i−i−i−i−i−iiiiiii11-1-1-1-111ii−i−i11-1-1−i−i−i−iiiii11-1-11-1-111-11-111-1-1-1-1111-1ii−i−iiiii−i−i−i−ii−i−iii−ii−i−ii-1-1111111-1-1-1-1−i−i−i−iiiii-111-1i−i−ii11-1-1−i−iii-1-111ii−i−i
χ3322222222222222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22000000000020000002222000000000000-2-20000-2-2-2-20000000000000000000000000000000000000000
χ342222222222222222222222222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000-2000000-2-2-2-200000000000022000022220000000000000000000000000000000000000000
χ3522222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-222222222-2-2-2-2200000000002000000-2-2-2-2000000000000220000-2-2-2-20000000000000000000000000000000000000000
χ3622222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-20000000000-20000002222000000000000-2-2000022220000000000000000000000000000000000000000
χ372222222222222222222222222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2000000002-22-222-2-222-2-22-22-200000020022000000200000000000000220000220000000000000000000000-2-200-2-20000000000000000
χ382222222222222222222222222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-2000000002-22-222-2-222-2-22-22-2000000-200-2-2000000-200000000000000-2-20000-2-200000000000000000000002200220000000000000000
χ392222222222222222222222222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-200000000-22-22-2-222-2-222-22-22000002022000000020000000000000220000220000000000000000000000-2-200-2-2000000000000000000
χ402222222222222222222222222222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-2-2-200000000-22-22-2-222-2-222-22-2200000-20-2-20000000-20000000000000-2-20000-2-20000000000000000000000220022000000000000000000
χ412222222222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2000000002-22-2-2-222-2-2222-22-200000020022000000200000000000000-2-20000-2-20000000000000000000000-2-200220000000000000000
χ422222222222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2000000002-22-2-2-222-2-2222-22-2000000-200-2-2000000-2000000000000002200002200000000000000000000002200-2-20000000000000000
χ432222222222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-200000000-22-2222-2-222-2-2-22-22000002022000000020000000000000-2-20000-2-20000000000000000000000-2-20022000000000000000000
χ442222222222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-200000000-22-2222-2-222-2-2-22-2200000-20-2-20000000-200000000000002200002200000000000000000000002200-2-2000000000000000000
χ452222-2-2-2-222-2-2-2-2222-2-22-2-22222-2-222-2-22i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i22-2-222-2-2−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-2-222-2000000000020000002i2i−2i−2i000000000000−2i2i0000-2-2220000000000000000000000000000000000000000
χ462222-2-2-2-222-2-2-2-2222-2-22-2-22222-2-222-2-22i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i22-2-2-2-2222i2i−2i−2i-2-222−2i−2i−2i−2i2i2i2i2i-2-22220000000000-2000000−2i−2i2i2i0000000000002i−2i000022-2-20000000000000000000000000000000000000000
χ472222-2-2-2-222-2-2-2-2222-2-22-2-22222-2-222-2-2−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i22-2-222-2-22i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-2-222-200000000002000000−2i−2i2i2i0000000000002i−2i0000-2-2220000000000000000000000000000000000000000
χ482222-2-2-2-222-2-2-2-2222-2-22-2-22222-2-222-2-2−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i22-2-2-2-222−2i−2i2i2i-2-2222i2i2i2i−2i−2i−2i−2i-2-22220000000000-20000002i2i−2i−2i000000000000−2i2i000022-2-20000000000000000000000000000000000000000
χ492222-2-2-2-222-2-2-2-2222-2-22-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-222000000002-2-222i2i−2i−2i−2i−2i2i2i2-2-220000002002-2000000-2000000000000002i−2i00002i−2i0000000000000000000000-2200−2i2i0000000000000000
χ502222-2-2-2-222-2-2-2-2222-2-22-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-222000000002-2-222i2i−2i−2i−2i−2i2i2i2-2-22000000-200-22000000200000000000000−2i2i0000−2i2i00000000000000000000002-2002i−2i0000000000000000
χ512222-2-2-2-222-2-2-2-2222-2-22-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-22200000000-222-2−2i−2i2i2i2i2i−2i−2i-222-200000202-20000000-200000000000002i−2i00002i−2i0000000000000000000000-2200−2i2i000000000000000000
χ522222-2-2-2-222-2-2-2-2222-2-22-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-22200000000-222-2−2i−2i2i2i2i2i−2i−2i-222-200000-20-22000000020000000000000−2i2i0000−2i2i00000000000000000000002-2002i−2i000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.