Finite Group Databasebeta

← Group #11784339

Character table — Group #11784339

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121218181818181818181818181818181818
order1222222244444444334444444466666666666666121212121212121212121212121212123666666612121212121212121212121212121212121212121212121212121212121212121212121212121212444444448888888812121212121212121212121212121212242424242424242424242424242424248888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1211111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111ii−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
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111−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
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1ii−i−i−i−iii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1−i−iiiii−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171-1-1111-1-111-1-1-1-11111ii−i−iii−i−i11-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−ii−ii−i1-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1
χ181-1-1111-1-111-1-1-1-11111ii−i−iii−i−i11-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i−ii−ii-11-1111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii-1-111-1-111
χ191-1-1111-1-111-1-1-1-11111ii−i−iii−i−i11-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−iii−ii−i1-11-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111
χ201-1-1111-1-111-1-1-1-11111ii−i−iii−i−i11-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii−ii−ii-11-11-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i11-1-111-1-1
χ211-1-1111-1-111-1-1-1-11111−i−iii−i−iii11-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−iii−ii−i-11-1111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i-1-111-1-111
χ221-1-1111-1-111-1-1-1-11111−i−iii−i−iii11-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii−ii−ii1-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-1
χ231-1-1111-1-111-1-1-1-11111−i−iii−i−iii11-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−ii−ii−i-11-11-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1
χ241-1-1111-1-111-1-1-1-11111−i−iii−i−iii11-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i−ii−ii1-11-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-1-111-1-111
χ251-1-1111-1-1-1-11111-1-111ii−i−i−i−iii11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii1-1-11−iii−i11-1-1-1-111ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ261-1-1111-1-1-1-11111-1-111ii−i−i−i−iii11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii-111-1i−i−ii11-1-1-1-111ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ271-1-1111-1-1-1-11111-1-111ii−i−i−i−iii11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i1-1-11−iii−i-1-11111-1-1−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ281-1-1111-1-1-1-11111-1-111ii−i−i−i−iii11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i-111-1i−i−ii-1-11111-1-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ291-1-1111-1-1-1-11111-1-111−i−iiiii−i−i11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i1-1-11i−i−ii11-1-1-1-111−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ301-1-1111-1-1-1-11111-1-111−i−iiiii−i−i11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i-111-1−iii−i11-1-1-1-111−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ311-1-1111-1-1-1-11111-1-111−i−iiiii−i−i11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii1-1-11i−i−ii-1-11111-1-1ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ321-1-1111-1-1-1-11111-1-111−i−iiiii−i−i11-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111111-1-11-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii-111-1−iii−i-1-11111-1-1ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ3322222222222222222-1222222222222-1-12-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ3422222222222222222-1222222222222-1-12-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000111111111111111100000000000000000000000000000000
χ3522222222222222222-1-2-2-2-2-2-2-2-22222-1-12-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111111111112222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000000000000000000000000000
χ3622222222222222222-1-2-2-2-2-2-2-2-22222-1-12-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111111111111-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ372222222222222222-1222222222-1-1-1-122-12-1-12222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ382222222222222222-1222222222-1-1-1-122-12-1-12222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000011111111111111110000000000000000
χ392222222222222222-12-2-2-2-2-2-2-2-2-1-1-1-122-12-1-12222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000002222-2-2-2-20000000000000000-1-1-1-1-1-1-1-1111111110000000000000000
χ402222222222222222-12-2-2-2-2-2-2-2-2-1-1-1-122-12-1-12222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-10000000000000000
χ4122222222-2-2-2-2-2-2-2-22-12222-2-2-2-22222-1-12-122-1-1-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111122-2-222-2-200000000-1-1-1-11111-1-1-1-1111100000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-22-12222-2-2-2-22222-1-12-122-1-1-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-2-222-2-222000000001111-1-1-1-11111-1-1-1-100000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-22-1-2-2-2-222222222-1-12-122-1-1-1-1-2-21111-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-222221111-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-2-2-22200000000-1-1-1-111111111-1-1-1-100000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.