Finite Group Databasebeta

← Group #10762161

Character table — Group #10762161

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size11111111222222222222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444441212121212121212242424242424242424242424
order1222444422223444444444444666888888881212121212121212121212122424242424242424242424242424242424444466666688888888888812121212121212121212121212121212121224242424242424242424242424242424242424242424242422448888224444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ51111111111-1-1111-1-1-1-111-1-111111111111111111111111111111111111111111-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-111-1-1
χ61111111111-1-1111-1-1-1-111-1-111111111111111111111111111111111111111111-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-111
χ71111111111-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11-1-1-11-111-1-111
χ81111111111-1-1111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1111-11-1-111-1-1
χ911111111-1-111111-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-1-11-1-1-1-111
χ1011111111-1-111111-1-1-1-1-1-11111111111111111111111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11111-1-1
χ1111111111-1-111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-111111-1-1
χ1211111111-1-111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1111-1-1-1-1-111
χ1311111111-1-1-1-11111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1
χ1411111111-1-1-1-11111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ1511111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ1611111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ171111-1-1-1-1111111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-111111-1-1ii−i−iii−i−iii−i−i11-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i111-1-1-1i−ii−ii−i
χ181111-1-1-1-1111111111-1-1-1-1-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-111111-1-1ii−i−iii−i−iii−i−i11-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1111−ii−ii−ii
χ191111-1-1-1-1111111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-111111-1-1−i−iii−i−iii−i−iii11-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii111-1-1-1−ii−ii−ii
χ201111-1-1-1-1111111111-1-1-1-1-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-111111-1-1−i−iii−i−iii−i−iii11-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-1-1-1111i−ii−ii−i
χ211111-1-1-1-111-1-1111-1-111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-111-1-111ii−i−i−i−iii−i−iii11-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i1-1-11-11−iii−i−ii
χ221111-1-1-1-111-1-1111-1-111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-111-1-111ii−i−i−i−iii−i−iii11-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii-111-11-1i−i−iii−i
χ231111-1-1-1-111-1-1111-1-111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-111-1-111−i−iiiii−i−iii−i−i11-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii1-1-11-11i−i−iii−i
χ241111-1-1-1-111-1-1111-1-111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-111-1-111−i−iiiii−i−iii−i−i11-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i-111-11-1−iii−i−ii
χ251111-1-1-1-1-1-111111-1-11111-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-111-1-1-1-11111−i−iiiii−i−i−i−iii-1-1111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-11-111-1−ii−iii−i
χ261111-1-1-1-1-1-111111-1-11111-1-1-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-111-1-1-1-11111−i−iiiii−i−i−i−iii-1-1111111-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-11-1-11i−ii−i−ii
χ271111-1-1-1-1-1-111111-1-11111-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1-1-11111ii−i−i−i−iiiii−i−i-1-1111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-11-111-1i−ii−i−ii
χ281111-1-1-1-1-1-111111-1-11111-1-1-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1-1-11111ii−i−i−i−iiiii−i−i-1-1111111-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-11-1-11−ii−iii−i
χ291111-1-1-1-1-1-1-1-111111-1-11111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11-111-1-1-1-1-1-1−i−iii−i−iiiii−i−i-1-11111-1-111111111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i-1-11-111i−i−ii−ii
χ301111-1-1-1-1-1-1-1-111111-1-11111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11-111-1-1-1-1-1-1−i−iii−i−iiiii−i−i-1-11111-1-111111111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii11-11-1-1−iii−ii−i
χ311111-1-1-1-1-1-1-1-111111-1-11111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11-111-1-1-1-1-1-1ii−i−iii−i−i−i−iii-1-11111-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iii-1-11-111−iii−ii−i
χ321111-1-1-1-1-1-1-1-111111-1-11111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11-111-1-1-1-1-1-1ii−i−iii−i−i−i−iii-1-11111-1-111111111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i11-11-1-1i−i−ii−ii
χ332222222222222-2-222222222-2-222200000000-2-2-2-22222-2-2-2-20000000000000000-2-2-2-2-2-22222-2-2000000000000-2-222-2-2-2-222-2-222-2-22200000000000000000000000000000000000000000000
χ34222222222222-1222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ35222222222222-1222222222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111100000000000000000000
χ36222222222222-1-2-222222222-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-2-2-2-2-2-1-1-1-11100000000000011-1-11111-1-111-1-111-1-133−3−333−3−333−3−333−3−333−3−333−3−300000000000000000000
χ37222222222222-1-2-222222222-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-2-2-2-2-2-1-1-1-11100000000000011-1-11111-1-111-1-111-1-1−3−333−3−333−3−333−3−333−3−333−3−33300000000000000000000
χ382222222222-2-22-2-2-2-2-2-222-2-2-2-222200000000-2-2-2-22222-2-2-2-200000000000000002-2-222222-2-222000000000000-2-222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000
χ392222222222-2-2-122-2-2-2-222-2-222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-2-1-111112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111100000000000000000000
χ402222222222-2-2-122-2-2-2-222-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-222-2-2-2-1-11111-2-2-2-222222222-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ412222222222-2-2-1-2-2-2-2-2-222-2-2-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−32-2-2222-1-111-1-100000000000011-1-111-1-111-1-111-1-11133−3−333−3−3−3−333−3−333−3−333−3−33300000000000000000000
χ422222222222-2-2-1-2-2-2-2-2-222-2-2-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−333332-2-2222-1-111-1-100000000000011-1-111-1-111-1-111-1-111−3−333−3−33333−3−333−3−333−3−333−3−300000000000000000000
χ4322222222-2-2222-2-2-2-2-2-2-2-222-2-222200000000-2-2-2-22222-2-2-2-20000000000000000222-2-22-2-2222200000000000022-2-222-2-222-2-2-2-222-2-200000000000000000000000000000000000000000000
χ4422222222-2-222-122-2-2-2-2-2-22222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-222-211-1-111-2-2-2-22222-2-2-2-2111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111100000000000000000000
χ4522222222-2-222-122-2-2-2-2-2-22222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-222-211-1-1112222-2-2-2-22222111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-100000000000000000000
χ4622222222-2-222-1-2-2-2-2-2-2-2-222-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3222-2-2211-1-1-1-1000000000000-1-111-1-111-1-11111-1-111−3−333−3−33333−3−333−3−3−3−333−3−33300000000000000000000
χ4722222222-2-222-1-2-2-2-2-2-2-2-222-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333222-2-2211-1-1-1-1000000000000-1-111-1-111-1-11111-1-11133−3−333−3−3−3−333−3−33333−3−333−3−300000000000000000000
χ4822222222-2-2-2-22-2-22222-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-20000000000000000-22222-2-2-2-2-2-2-200000000000022-2-22222-2-22222-2-22200000000000000000000000000000000000000000000
χ4922222222-2-2-2-2-1222222-2-2-2-222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-221111-1-1-2-2-2-2-2-2-2-22222111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000
χ5022222222-2-2-2-2-1222222-2-2-2-222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111112-2-2-2-221111-1-122222222-2-2-2-2111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111100000000000000000000
χ5122222222-2-2-2-2-1-2-22222-2-2-2-2-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-22222-2111111000000000000-1-111-1-1-1-111-1-1-1-111-1-1−3−333−3−333−3−333−3−33333−3−333−3−300000000000000000000
χ5222222222-2-2-2-2-1-2-22222-2-2-2-2-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-22222-2111111000000000000-1-111-1-1-1-111-1-1-1-111-1-133−3−333−3−333−3−333−3−3−3−333−3−33300000000000000000000
χ532222-2-2-2-222222-2-222-2-2-2-2-2-22222200000000-2-2-2-2-2-2-2-2222200000000000000002-22-22-2222222000000000000-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.