Finite Group Databasebeta

← Group #11789739

Character table — Group #11789739

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222244444444444466666666666666668888888888882424242411111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order122222223444466666668888888812121212242424242424242444444444888888884444121212121212121244443666666631212121266666662424242424242424121212122424242424242424121212121212121224242424242424241212121212121212121212121212121236666666312121212666666624242424242424241212121224242424242424241212121212121212242424242424242412121212121212121212121212121212
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
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1
χ911-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-11-1i−iii−i−i11-1-1i−i1-111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-11-1i−iii−i−i11-1-1i−i1-111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-11-1i−iii−i−i11-1-1i−i1-1
χ1011-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1-11−ii−i−iii-1-111−ii-1111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1-11−ii−i−iii-1-111−ii-1111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1-11−ii−i−iii-1-111−ii-11
χ1111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-111111-1i−iii−i−i11-1-1−ii-1111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-111111-1i−iii−i−i11-1-1−ii-1111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-111111-1i−iii−i−i11-1-1−ii-11
χ1211-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111-11−ii−i−iii-1-111i−i1-111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111-11−ii−i−iii-1-111i−i1-111-11-1-11-111-1-1111-1-1-1-11iiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111-11−ii−i−iii-1-111i−i1-1
χ1311-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-111111-1−ii−i−iii11-1-1i−i-1111-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-111111-1−ii−i−iii11-1-1i−i-1111-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-111111-1−ii−i−iii11-1-1i−i-11
χ1411-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111-11i−iii−i−i-1-111−ii1-111-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111-11i−iii−i−i-1-111−ii1-111-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111-11i−iii−i−i-1-111−ii1-1
χ1511-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-11-1−ii−i−iii11-1-1−ii1-111-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-11-1−ii−i−iii11-1-1−ii1-111-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-11-1−ii−i−iii11-1-1−ii1-1
χ1611-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1-11i−iii−i−i-1-111i−i-1111-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1-11i−iii−i−i-1-111i−i-1111-11-1-11-111-1-1111-1-1-1-11−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1-11i−iii−i−i-1-111i−i-11
χ17222222222-2-2-2-2222222200000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000222222222-2-2-2-2222222200000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000222222222-2-2-2-2222222200000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000
χ18222222222-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-22222000000000000000000000000222222222-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-22222000000000000000000000000222222222-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-22222000000000000000000000000
χ1922222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000000000000000022-2-21111-1-1-1-1000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000000000000000022-2-21111-1-1-1-1000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000000000000000022-2-21111-1-1-1-10000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000000000000-2-222-1-1-1-11111000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000000000000-2-222-1-1-1-11111000022222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000000000000-2-222-1-1-1-111110000
χ23222-22-2-2-2200002-222-2-2-222−2−222−2−2000022−2−222−2−22-22-2000022−2−222−2−20000000000000000222-22-2-2-2200002-222-2-2-222−2−222−2−2000022−2−222−2−22-22-2000022−2−222−2−20000000000000000222-22-2-2-2200002-222-2-2-222−2−222−2−2000022−2−222−2−22-22-2000022−2−222−2−20000000000000000
χ24222-22-2-2-2200002-222-2-2-222−2−222−2−2000022−2−222−2−2-22-220000−2−222−2−2220000000000000000222-22-2-2-2200002-222-2-2-222−2−222−2−2000022−2−222−2−2-22-220000−2−222−2−2220000000000000000222-22-2-2-2200002-222-2-2-222−2−222−2−2000022−2−222−2−2-22-220000−2−222−2−2220000000000000000
χ25222-22-2-2-2200002-222-2-2-2−2−222−2−2220000−2−222−2−2222-22-20000−2−222−2−2220000000000000000222-22-2-2-2200002-222-2-2-2−2−222−2−2220000−2−222−2−2222-22-20000−2−222−2−2220000000000000000222-22-2-2-2200002-222-2-2-2−2−222−2−2220000−2−222−2−2222-22-20000−2−222−2−2220000000000000000
χ26222-22-2-2-2200002-222-2-2-2−2−222−2−2220000−2−222−2−222-22-22000022−2−222−2−20000000000000000222-22-2-2-2200002-222-2-2-2−2−222−2−2220000−2−222−2−222-22-22000022−2−222−2−20000000000000000222-22-2-2-2200002-222-2-2-2−2−222−2−2220000−2−222−2−222-22-22000022−2−222−2−20000000000000000
χ2722-22-2-22-22-222-222-2-2-2-2200000000-2-222000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000022-22-2-22-22-222-222-2-2-2-2200000000-2-222000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000022-22-2-22-22-222-222-2-2-2-2200000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ2822-22-2-22-22-222-222-2-2-2-2200000000-2-22200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000022-22-2-22-22-222-222-2-2-2-2200000000-2-22200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000022-22-2-22-22-222-222-2-2-2-2200000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ2922-22-2-22-2-12-2-22-1-11111-12i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−iiiii00000000000000002-22i−2i−i−iii-1-111000022-22-2-22-2-12-2-22-1-11111-12i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−iiiii00000000000000002-22i−2i−i−iii-1-111000022-22-2-22-2-12-2-22-1-11111-12i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−iiiii00000000000000002-22i−2i−i−iii-1-1110000
χ3022-22-2-22-2-12-2-22-1-11111-12i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−iiiii0000000000000000-22−2i2iii−i−i11-1-1000022-22-2-22-2-12-2-22-1-11111-12i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−iiiii0000000000000000-22−2i2iii−i−i11-1-1000022-22-2-22-2-12-2-22-1-11111-12i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−iiiii0000000000000000-22−2i2iii−i−i11-1-10000
χ3122-22-2-22-2-12-2-22-1-11111-1−2i−2i−2i−2i2i2i2i2i-1-111iiii−i−i−i−i00000000000000002-2−2i2iii−i−i-1-111000022-22-2-22-2-12-2-22-1-11111-1−2i−2i−2i−2i2i2i2i2i-1-111iiii−i−i−i−i00000000000000002-2−2i2iii−i−i-1-111000022-22-2-22-2-12-2-22-1-11111-1−2i−2i−2i−2i2i2i2i2i-1-111iiii−i−i−i−i00000000000000002-2−2i2iii−i−i-1-1110000
χ3222-22-2-22-2-12-2-22-1-11111-1−2i−2i−2i−2i2i2i2i2i-1-111iiii−i−i−i−i0000000000000000-222i−2i−i−iii11-1-1000022-22-2-22-2-12-2-22-1-11111-1−2i−2i−2i−2i2i2i2i2i-1-111iiii−i−i−i−i0000000000000000-222i−2i−i−iii11-1-1000022-22-2-22-2-12-2-22-1-11111-1−2i−2i−2i−2i2i2i2i2i-1-111iiii−i−i−i−i0000000000000000-222i−2i−i−iii11-1-10000
χ3322-2-2-22-22200002-2-2-222-2−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i22i−2i−2i2i0000−2−22222−2−2000000000000000022-2-2-22-22200002-2-2-222-2−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i22i−2i−2i2i0000−2−22222−2−2000000000000000022-2-2-22-22200002-2-2-222-2−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i22i−2i−2i2i0000−2−22222−2−20000000000000000
χ3422-2-2-22-22200002-2-2-222-2−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i000022−2−2−2−222000000000000000022-2-2-22-22200002-2-2-222-2−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i000022−2−2−2−222000000000000000022-2-2-22-22200002-2-2-222-2−i2−i2i2i2i2i2−i2−i20000−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i000022−2−2−2−2220000000000000000
χ3522-2-2-22-22200002-2-2-222-2i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i22i−2i−2i2i000022−2−2−2−222000000000000000022-2-2-22-22200002-2-2-222-2i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i22i−2i−2i2i000022−2−2−2−222000000000000000022-2-2-22-22200002-2-2-222-2i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i22i−2i−2i2i000022−2−2−2−2220000000000000000
χ3622-2-2-22-22200002-2-2-222-2i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i0000−2−22222−2−2000000000000000022-2-2-22-22200002-2-2-222-2i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i0000−2−22222−2−2000000000000000022-2-2-22-22200002-2-2-222-2i2i2−i2−i2−i2−i2i2i20000i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i0000−2−22222−2−20000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.