Finite Group Databasebeta

← Group #72226580

Character table — Group #72226580

Order 6400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190
size11222222244444444444444444444444444448888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616252550505050505050100100100100100100100100100100100100100100100100100100100100200200200200200200200200200200200200
order1222244442244555555101010101010101010101010101010101010228810101010101010101010101020202020202020202020202020202020202020202020202010101010101010101010101010101010101010101010101010101010101010101010101020202020202020202020202040404040404040404040404040404040404040404040404022222444422448888888888888888224444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1ii−i−i-1-1ii−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−iii-1-1−i−iii
χ51111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ71111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11−i−iii11−i−iii
χ81111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11ii−i−i11ii−i−i
χ9111111111-1-1-1-111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ10111111111-1-1-1-111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111
χ11111111111-1-1-1-111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1ii−i−i11−i−iii
χ12111111111-1-1-1-111111111111111111111111111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1−i−iii11ii−i−i
χ13111111111-1-1-1-1111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ14111111111-1-1-1-1111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1
χ15111111111-1-1-1-1111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11−i−iii-1-1ii−i−i
χ16111111111-1-1-1-1111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11ii−i−i-1-1−i−iii
χ17111-1-11-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-11-111-1-111-1-111-1-111-1-11-11-11-11-11-11-1
χ18111-1-11-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-11-1-1-111-1-111-1-111-1-1111-1-11-111-1-11-11
χ19111-1-11-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11ii−i−iii−i−i−i−iii−i−iii-11i−i−ii-11i−i−ii
χ20111-1-11-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11−i−iii−i−iiiii−i−iii−i−i-11−iii−i-11−iii−i
χ21111-1-11-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-11-111-1-111-1-111-1-111-1-1-11-11-11-11-11-11
χ22111-1-11-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1111-11-1-1-111-1-111-1-111-1-111-111-11-1-111-11-1
χ23111-1-11-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-11-11ii−i−iii−i−i−i−iii−i−iii1-1−iii−i1-1−iii−i
χ24111-1-11-1-111-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-11-11−i−iii−i−iiiii−i−iii−i−i1-1i−i−ii1-1i−i−ii
χ25111-1-11-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-11-1111-1-1-1-11111-1-1-1-1111-11-11-1-11-11-11
χ26111-1-11-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-11-11-1-11111-1-1-1-11111-1-11-1-11-11-111-11-1
χ27111-1-11-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-11-11-1ii−i−i−i−iii−i−iiiii−i−i-11i−i−ii1-1−iii−i
χ28111-1-11-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-11-11-1−i−iiiii−i−iii−i−i−i−iii-11−iii−i1-1i−i−ii
χ29111-1-11-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1111-1-1-1-11111-1-1-1-111-11-11-111-11-11-1
χ30111-1-11-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-11-1-11111-1-1-1-11111-1-1-111-11-11-1-11-11
χ31111-1-11-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1ii−i−i−i−iii−i−iiiii−i−i1-1−iii−i-11i−i−ii
χ32111-1-11-1-11-11-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1−i−iiiii−i−iii−i−i−i−iii1-1i−i−ii-11−iii−i
χ3322222-2-2-2-200002222222222222222222222220000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000022222-2-2-2-2000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ3422222-2-2-2-200002222222222222222222222220000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000022222-2-2-2-200000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ3522222-2-2-2-200002222222222222222222222220000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000-2-2-2-2-22222000000002-22-20000-22-22000000000000
χ3622222-2-2-2-200002222222222222222222222220000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000-2-2-2-2-2222200000000-22-2200002-22-2000000000000
χ37222-2-2-222-20000222222-2-2-2-2-2-2-2-2-2-2-2-22222220000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000222-2-222-2-2000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ38222-2-2-222-20000222222-2-2-2-2-2-2-2-2-2-2-2-22222220000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000222-2-222-2-200000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ39222-2-2-222-20000222222-2-2-2-2-2-2-2-2-2-2-2-22222220000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000-2-2-222-2-222000000002-2-220000-222-2000000000000
χ40222-2-2-222-20000222222-2-2-2-2-2-2-2-2-2-2-2-22222220000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000-2-2-222-2-22200000000-222-200002-2-22000000000000
χ4122-22-222-2-200002222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000022-22-22-2-2200002-22-200002-22-20000000000000000
χ4222-22-222-2-200002222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000022-22-22-2-220000-22-220000-22-220000000000000000
χ4322-22-222-2-200002222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000-2-22-22-222-200002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ4422-22-222-2-200002222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000-2-22-22-222-20000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ4522-22-2-2-22222-2-22222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022-22-2-222-222-2-20000000000000000000000000000
χ4622-22-2-2-22222-2-22222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-22-222-2-22-2-2220000000000000000000000000000
χ4722-22-2-2-222-2-2222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022222222222200000000000000000000000022-22-2-222-2-2-2220000000000000000000000000000
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χ18416-1600000000000-4-4−4+456−256+25−4−45−454545−4500−10−2510+2510−25−10+2500444−45−6+25−6−254+45000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18516-1600000000000-4-46−25−4−45−4+456+2545−4545−45−10−2510+25000010−25−10+2544−6+254+454−45−6−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18616-1600000000000-4-46−25−4−45−4+456+25−4545−454510+25−10−250000−10+2510−2544−6+254+454−45−6−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18716-1600000000000-4-46+25−4+45−4−456−2545−4545−4510−25−10+250000−10−2510+2544−6−254−454+45−6+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18816-1600000000000-4-46+25−4+45−4−456−25−4545−4545−10+2510−25000010+25−10−2544−6−254−454+45−6+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ18916-1600000000000-4-4−4−456+256−25−4+4545−45−454500−10+2510−2510+25−10−2500444+45−6−25−6+254−45000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ19016-1600000000000-4-4−4−456+256−25−4+45−454545−450010−25−10+25−10−2510+2500444+45−6−25−6+254−45000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).