Finite Group Databasebeta

← Group #11790122

Character table — Group #11790122

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222244444444444466666666666666668888888888882424242411111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order122222223444444444444666666612121212121212121212121288888888888888884444121212121212121244443666666631212121212121212121212126666666121212121212121212121212242424242424242424242424242424241212121212121212121212121212121236666666312121212121212121212121266666661212121212121212121212122424242424242424242424242424242412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i1-1i−i11-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i1-1i−i11-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i1-1i−i
χ1011-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-11−ii11-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-11−ii11-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii-11−ii
χ1111-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-11−ii11-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-11−ii11-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i-11−ii
χ1211-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii1-1i−i11-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii1-1i−i11-1-11-11-111-1ii−i−iii−i−i1-11-1-11-11-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii1-1i−i
χ1311-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii1-1−ii11-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii1-1−ii11-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii1-1−ii
χ1411-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-11i−i11-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-11i−i11-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i-11i−i
χ1511-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii-11i−i11-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii-11i−i11-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii-11i−i
χ1611-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i1-1−ii11-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i1-1−ii11-1-11-11-111-1−i−iii−i−iii1-11-1-11-11-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i1-1−ii
χ17222222222-2-22222-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-200000000000000000000000000000000222222222-2-22222-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-200000000000000000000000000000000222222222-2-22222-2-2-2-2-2-22222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ18222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000222222222-2-2-2-2-2-22222-2-22222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ1922222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2122222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-11111000022222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-11111000022222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ2222222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-1000022222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-1000022222222-122-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ2322222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i3000022222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i3000022222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ2422222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i3000022222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i3000022222222-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ2522222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i3000022222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i3000022222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ2622222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i3000022222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i3000022222222-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ27222-2-22-2-22002-22-200000022-2-22-2-200002-22-2000022−2−222−2−222−2−222−2−20000000000000000222-2-22-2-22002-22-200000022-2-22-2-200002-22-2000022−2−222−2−222−2−222−2−20000000000000000222-2-22-2-22002-22-200000022-2-22-2-200002-22-2000022−2−222−2−222−2−222−2−20000000000000000
χ28222-2-22-2-22002-22-200000022-2-22-2-200002-22-20000−2−222−2−222−2−222−2−2220000000000000000222-2-22-2-22002-22-200000022-2-22-2-200002-22-20000−2−222−2−222−2−222−2−2220000000000000000222-2-22-2-22002-22-200000022-2-22-2-200002-22-20000−2−222−2−222−2−222−2−2220000000000000000
χ29222-2-22-2-2200-22-2200000022-2-22-2-20000-22-22000022−2−222−2−2−2−222−2−2220000000000000000222-2-22-2-2200-22-2200000022-2-22-2-20000-22-22000022−2−222−2−2−2−222−2−2220000000000000000222-2-22-2-2200-22-2200000022-2-22-2-20000-22-22000022−2−222−2−2−2−222−2−2220000000000000000
χ30222-2-22-2-2200-22-2200000022-2-22-2-20000-22-220000−2−222−2−22222−2−222−2−20000000000000000222-2-22-2-2200-22-2200000022-2-22-2-20000-22-220000−2−222−2−22222−2−222−2−20000000000000000222-2-22-2-2200-22-2200000022-2-22-2-20000-22-220000−2−222−2−22222−2−222−2−20000000000000000
χ3122-22-2-2-222002i−2i−2i2i0000002-22-2-2-2200002i−2i−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000022-22-2-2-222002i−2i−2i2i0000002-22-2-2-2200002i−2i−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000022-22-2-2-222002i−2i−2i2i0000002-22-2-2-2200002i−2i−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ3222-22-2-2-222002i−2i−2i2i0000002-22-2-2-2200002i−2i−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000022-22-2-2-222002i−2i−2i2i0000002-22-2-2-2200002i−2i−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000022-22-2-2-222002i−2i−2i2i0000002-22-2-2-2200002i−2i−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ3322-22-2-2-22200−2i2i2i−2i0000002-22-2-2-220000−2i2i2i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000022-22-2-2-22200−2i2i2i−2i0000002-22-2-2-220000−2i2i2i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000022-22-2-2-22200−2i2i2i−2i0000002-22-2-2-220000−2i2i2i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ3422-22-2-2-22200−2i2i2i−2i0000002-22-2-2-220000−2i2i2i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000022-22-2-2-22200−2i2i2i−2i0000002-22-2-2-220000−2i2i2i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000022-22-2-2-22200−2i2i2i−2i0000002-22-2-2-220000−2i2i2i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ3522-2-22-22-22-222i2i−2i−2i−2i−2i2i2i-222-2-22-22-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000022-2-22-22-22-222i2i−2i−2i−2i−2i2i2i-222-2-22-22-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000022-2-22-22-22-222i2i−2i−2i−2i−2i2i2i-222-2-22-22-2-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ3622-2-22-22-22-22−2i−2i2i2i2i2i−2i−2i-222-2-22-22-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000022-2-22-22-22-22−2i−2i2i2i2i2i−2i−2i-222-2-22-22-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000022-2-22-22-22-22−2i−2i2i2i2i2i−2i−2i-222-2-22-22-2-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.