Finite Group Databasebeta

← Group #11860094

Character table — Group #11860094

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111122222244444444444422224444448888888888883333666666121212121212121212121212111122222244444444444422224444448888888888883333666666121212121212121212121212111122222244444444444422224444448888888888883333666666121212121212121212121212
order122244444444444444888836661212121212121212121212121212242424242222444444444444448888366612121212121212121212121212122424242436661212121212121212121212121212242424246666121212121212121212121212121224242424366612121212121212121212121212122424242436661212121212121212121212121212242424246666121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ31111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1
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
χ51111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ61111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111
χ71111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111
χ81111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1
χ91-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i
χ101-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii
χ111-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii
χ121-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i
χ131-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii
χ141-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i
χ151-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i
χ161-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii
χ1722222-22-2-2-200000000000022222-22-2-2-200000000000022222-22-2-2-200000000000022222-22-2-2-200000000000022222-22-2-2-200000000000022222-22-2-2-200000000000022222-22-2-2-200000000000022222-22-2-2-200000000000022222-22-2-2-2000000000000
χ182222-22-22-2-20000000000002222-22-22-2-20000000000002222-22-22-2-20000000000002222-22-22-2-20000000000002222-22-22-2-20000000000002222-22-22-2-20000000000002222-22-22-2-20000000000002222-22-22-2-20000000000002222-22-22-2-2000000000000
χ192-2-222i−2i−2i2i-220000000000002-2-222i−2i−2i2i-220000000000002-2-222i−2i−2i2i-220000000000002-2-222i−2i−2i2i-220000000000002-2-222i−2i−2i2i-220000000000002-2-222i−2i−2i2i-220000000000002-2-222i−2i−2i2i-220000000000002-2-222i−2i−2i2i-220000000000002-2-222i−2i−2i2i-22000000000000
χ202-2-22−2i2i2i−2i-220000000000002-2-22−2i2i2i−2i-220000000000002-2-22−2i2i2i−2i-220000000000002-2-22−2i2i2i−2i-220000000000002-2-22−2i2i2i−2i-220000000000002-2-22−2i2i2i−2i-220000000000002-2-22−2i2i2i−2i-220000000000002-2-22−2i2i2i−2i-220000000000002-2-22−2i2i2i−2i-22000000000000
χ2144-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-400000000000000000044-4-4000000000000000000
χ224-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-40000000000000000004-44-4000000000000000000
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
χ24111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ251111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
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
χ271111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ281111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ291111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ301111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ311-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i-111-1−i−iii-11−ii−ii-11-11-11−ii1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i-111-1−i−iii-11−ii−ii-11-11-11−ii1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i1-1-11ii−i−i1-1i−ii−i1-11-11-1i−i-111-1−i−iii-11−ii−ii-11-11-11−ii
χ321-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii-111-1−i−iii-11−iii−i-111-11-1i−i1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii-111-1−i−iii-11−iii−i-111-11-1i−i1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii1-1-11ii−i−i1-1i−i−ii1-1-11-11−ii-111-1−i−iii-11−iii−i-111-11-1i−i
χ331-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii-111-1−i−iii-11i−i−ii1-1-111-1i−i1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii-111-1−i−iii-11i−i−ii1-1-111-1i−i1-1-11ii−i−i1-1−iii−i-111-1-11−ii1-1-11ii−i−i1-1−iii−i-111-1-11−ii-111-1−i−iii-11i−i−ii1-1-111-1i−i
χ341-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i-111-1−i−iii-11i−ii−i1-11-1-11−ii1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i-111-1−i−iii-11i−ii−i1-11-1-11−ii1-1-11ii−i−i1-1−ii−ii-11-111-1i−i1-1-11ii−i−i1-1−ii−ii-11-111-1i−i-111-1−i−iii-11i−ii−i1-11-1-11−ii
χ351-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii-111-1ii−i−i-11−ii−ii1-11-1-11i−i1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii-111-1ii−i−i-11−ii−ii1-11-1-11i−i1-1-11−i−iii1-1i−ii−i-11-111-1−ii1-1-11−i−iii1-1i−ii−i-11-111-1−ii-111-1ii−i−i-11−ii−ii1-11-1-11i−i
χ361-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i-111-1ii−i−i-11−iii−i1-1-111-1−ii1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i-111-1ii−i−i-11−iii−i1-1-111-1−ii1-1-11−i−iii1-1i−i−ii-111-1-11i−i1-1-11−i−iii1-1i−i−ii-111-1-11i−i-111-1ii−i−i-11−iii−i1-1-111-1−ii
χ371-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i-111-1ii−i−i-11i−i−ii-111-11-1−ii1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i-111-1ii−i−i-11i−i−ii-111-11-1−ii1-1-11−i−iii1-1−iii−i1-1-11-11i−i1-1-11−i−iii1-1−iii−i1-1-11-11i−i-111-1ii−i−i-11i−i−ii-111-11-1−ii
χ381-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii-111-1ii−i−i-11i−ii−i-11-11-11i−i1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii-111-1ii−i−i-11i−ii−i-11-11-11i−i1-1-11−i−iii1-1−ii−ii1-11-11-1−ii1-1-11−i−iii1-1−ii−ii1-11-11-1−ii-111-1ii−i−i-11i−ii−i-11-11-11i−i
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χ19788-8-8000000000000000000-4-4440000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i30000000000000000002+2i32+2i3−2−2i3−2−2i30000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i30000000000000000002−2i32−2i3−2+2i3−2+2i30000000000000000000000000000000000000000
χ1988-88-8000000000000000000-44-440000000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i30000000000000000002+2i3−2−2i32+2i3−2−2i30000000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i30000000000000000002−2i3−2+2i32−2i3−2+2i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.