Finite Group Databasebeta

← Group #11783388

Character table — Group #11783388

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222244444444444422224444448888888888883333666666121212121212121212121212111122222244444444444422224444448888888888883333666666121212121212121212121212111122222244444444444422224444448888888888883333666666121212121212121212121212
order1222224444444488888888366666121212121212121224242424242424242222224444444488888888366666121212121212121224242424242424243666661212121212121212242424242424242466666612121212121212122424242424242424366666121212121212121224242424242424243666661212121212121212242424242424242466666612121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i
χ6111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii
χ7111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii
χ8111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i
χ91-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i
χ101-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii
χ111-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii
χ121-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i
χ131-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-1
χ141-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-11
χ151-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-11
χ161-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-1
χ172222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-220000000000002222-2-22-2-22000000000000
χ182222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-20000000000002222-2-2-222-2000000000000
χ192-22-2-2222-2-20000000000002-22-2-2222-2-20000000000002-22-2-2222-2-20000000000002-22-2-2222-2-20000000000002-22-2-2222-2-20000000000002-22-2-2222-2-20000000000002-22-2-2222-2-20000000000002-22-2-2222-2-20000000000002-22-2-2222-2-2000000000000
χ202-22-2-22-2-2220000000000002-22-2-22-2-2220000000000002-22-2-22-2-2220000000000002-22-2-22-2-2220000000000002-22-2-22-2-2220000000000002-22-2-22-2-2220000000000002-22-2-22-2-2220000000000002-22-2-22-2-2220000000000002-22-2-22-2-222000000000000
χ2144-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-4000000000000000000
χ224-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-440000000000000000004-4-44000000000000000000
χ2311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2411111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ251111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ261111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ27111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-11111-1-111−i−iii−i−iii111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-11111-1-111−i−iii−i−iii111111-1-1-1-111-1-1ii−i−iii−i−i111111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-1-1-11111-1-111−i−iii−i−iii
χ28111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-1-1-11111-1-111ii−i−iii−i−i111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-1-1-11111-1-111ii−i−iii−i−i111111-1-1-1-111-1-1−i−iii−i−iii111111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-1-1-11111-1-111ii−i−iii−i−i
χ29111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1111111-1-1−i−iiiii−i−i111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1111111-1-1−i−iiiii−i−i111111-1-1-1-1-1-111ii−i−i−i−iii111111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1111111-1-1−i−iiiii−i−i
χ30111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1111111-1-1ii−i−i−i−iii111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1111111-1-1ii−i−i−i−iii111111-1-1-1-1-1-111−i−iiiii−i−i111111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1111111-1-1ii−i−i−i−iii
χ311-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i-11-11-11-11-11−ii−ii-11-11−ii−ii1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i-11-11-11-11-11−ii−ii-11-11−ii−ii1-11-11-11-11-1i−ii−i1-11-1i−ii−i1-11-11-11-11-1i−ii−i1-11-1i−ii−i-11-11-11-11-11−ii−ii-11-11−ii−ii
χ321-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii-11-11-11-11-11−ii−ii1-11-1i−ii−i1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii-11-11-11-11-11−ii−ii1-11-1i−ii−i1-11-11-11-11-1i−ii−i-11-11−ii−ii1-11-11-11-11-1i−ii−i-11-11−ii−ii-11-11-11-11-11−ii−ii1-11-1i−ii−i
χ331-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii-11-11-11-11-11i−ii−i-11-11i−ii−i1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii-11-11-11-11-11i−ii−i-11-11i−ii−i1-11-11-11-11-1−ii−ii1-11-1−ii−ii1-11-11-11-11-1−ii−ii1-11-1−ii−ii-11-11-11-11-11i−ii−i-11-11i−ii−i
χ341-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i-11-11-11-11-11i−ii−i1-11-1−ii−ii1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i-11-11-11-11-11i−ii−i1-11-1−ii−ii1-11-11-11-11-1−ii−ii-11-11i−ii−i1-11-11-11-11-1−ii−ii-11-11i−ii−i-11-11-11-11-11i−ii−i1-11-1−ii−ii
χ351-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-1-11-11-111-11-1−iii−i−iii−i1-1-111-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-1-11-11-111-11-1−iii−i−iii−i1-1-111-11-11-1-11-11i−i−iii−i−ii-111-11-11-11-1-11-11i−i−iii−i−ii-111-1-11-11-111-11-1−iii−i−iii−i1-1-11
χ361-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-11-11-11-111-11-1−iii−ii−i−ii-111-11-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-11-11-11-111-11-1−iii−ii−i−ii-111-11-11-11-1-11-11i−i−ii−iii−i1-1-111-11-11-1-11-11i−i−ii−iii−i1-1-11-11-11-111-11-1−iii−ii−i−ii-111-1
χ371-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-11-11-11-111-11-1i−i−ii−iii−i-111-11-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-11-11-11-111-11-1i−i−ii−iii−i-111-11-11-11-1-11-11−iii−ii−i−ii1-1-111-11-11-1-11-11−iii−ii−i−ii1-1-11-11-11-111-11-1i−i−ii−iii−i-111-1
χ381-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-1-11-11-111-11-1i−i−iii−i−ii1-1-111-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-1-11-11-111-11-1i−i−iii−i−ii1-1-111-11-11-1-11-11−iii−i−iii−i-111-11-11-11-1-11-11−iii−i−iii−i-111-1-11-11-111-11-1i−i−iii−i−ii1-1-11
χ392222-2-22-2-220000000000002222-2-22-2-22000000000000-2-2-2-222-222-20000000000002222-2-22-2-220000000000002222-2-22-2-22000000000000-2-2-2-222-222-20000000000002222-2-22-2-220000000000002222-2-22-2-22000000000000-2-2-2-222-222-2000000000000
χ402222-2-2-222-20000000000002222-2-2-222-2000000000000-2-2-2-2222-2-220000000000002222-2-2-222-20000000000002222-2-2-222-2000000000000-2-2-2-2222-2-220000000000002222-2-2-222-20000000000002222-2-2-222-2000000000000-2-2-2-2222-2-22000000000000
χ412-22-2-2222-2-20000000000002-22-2-2222-2-2000000000000-22-222-2-2-2220000000000002-22-2-2222-2-20000000000002-22-2-2222-2-2000000000000-22-222-2-2-2220000000000002-22-2-2222-2-20000000000002-22-2-2222-2-2000000000000-22-222-2-2-222000000000000
χ422-22-2-22-2-2220000000000002-22-2-22-2-222000000000000-22-222-222-2-20000000000002-22-2-22-2-2220000000000002-22-2-22-2-222000000000000-22-222-222-2-20000000000002-22-2-22-2-2220000000000002-22-2-22-2-222000000000000-22-222-222-2-2000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.