Finite Group Databasebeta

← Group #10701045

Character table — Group #10701045

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size111111111111111122222222222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444121212121212121212121212121212122424242424242424
order1222222244444444222234444444444446666666666666661212121212121212121212121212121244444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444444444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iii
χ171111-1-1-1-11111-1-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-11111-1-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-1-1-11111-1-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ201111-1-1-1-11111-1-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-1-1-11111-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ221111-1-1-1-11111-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ231111-1-1-1-11111-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ241111-1-1-1-11111-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ251111-1-1-1-1-1-1-1-11111-111-1111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-11ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iii-111-1-111-1
χ261111-1-1-1-1-1-1-1-11111-111-1111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-11ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−i−iiiii−i−i1-1-111-1-11
χ271111-1-1-1-1-1-1-1-11111-111-1111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-11−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iiiii−i−i−i−iii1-1-111-1-11
χ281111-1-1-1-1-1-1-1-11111-111-1111-1-111-1-1-1-111-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111111-1-11−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i-111-1-111-1
χ291111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-111-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−i-111-11-1-11
χ301111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-111-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1
χ311111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-111-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1
χ321111-1-1-1-1-1-1-1-11111-111-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-111-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iii-111-11-1-11
χ3322222222222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222222222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000000000000000
χ3522222222222222222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000
χ3622222222222222222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222222222-2-2-2-22-2-2-2-2222222222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ382222222222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222222222220000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ392222222222222222-2-2-2-2-1-2-2-2-222222222-1-1-1-1111111-1-1-11111111111-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-1-111-1-111-1-111-1-11133−3−333−3−333−3−333−3−333−3−333−3−333−3−333−3−3000000000000000000000000
χ402222222222222222-2-2-2-2-1-2-2-2-222222222-1-1-1-1111111-1-1-11111111111-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-1-111-1-111-1-111-1-111−3−333−3−333−3−333−3−333−3−333−3−333−3−333−3−333000000000000000000000000
χ412222222222222222-2-2-2-2-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1111111-1-1-11111111111-1-1-1-1-1-1-1-12222000000000000000011-1-111-1-111-1-111-1-133−3−333−3−333−3−333−3−3−3−333−3−333−3−333−3−333000000000000000000000000
χ422222222222222222-2-2-2-2-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1111111-1-1-11111111111-1-1-1-1-1-1-1-12222000000000000000011-1-111-1-111-1-111-1-1−3−333−3−333−3−333−3−33333−3−333−3−333−3−333−3−3000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000000000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-22222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2220000000000000000-1-111-1-11111-1-111-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ4622222222-2-2-2-2-2-2-2-22222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2220000000000000000-1-111-1-11111-1-111-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ4722222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2000000000000000011-1-111-1-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000
χ4822222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2000000000000000011-1-111-1-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000
χ4922222222-2-2-2-2-2-2-2-2-2-2-2-2-122222222-2-2-2-2-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-11111111122-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.