Finite Group Databasebeta

← Group #13149846

Character table — Group #13149846

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size11112222222222222222222222222244444444444444444444444444444444444444444444446666666666666666666666668888888888888888888888881212121212121212121212121212121212121212121212121818181818181818181818183636363636365454545454545454
order124423346688889991212121218181836363636363636669991212121218181818181824242424242424243636363636363636367272727272727272727272722244888824242424727272727272727272727272612181818242424243636367272727272727272727272726612121818181818182424363636363636727272727272224466888812126122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ71111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-111-11111-1-111111111111111111-1-11111-1-111-1-1-111111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-11-11-111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11-11-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-111-1-11-11-111-1-1
χ101111-111-11111-1-111111111111111111-1-11111-1-111-1-1-111111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-11-11-111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11-11-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-111-11-11-1-111
χ111111-111-11111-1-111111111111111111-1-11111-1-111-1-1-111111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-111111-1-1-11111111111-11-11111-1-111-1-111-1-1-11-11-1-111
χ121111-111-11111-1-111111111111111111-1-11111-1-111-1-1-111111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-111111-1-1-1111111111-11-11-1-1-1-111-1-111-1-1111-11-111-1-1
χ131111-111-111-1-11111111111111111111-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1111111-1-1-1-1-1-11111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-11-1111-1-1-111111-1-1-11111111-11-111-1-11111-1-1-1-1111-11-1-1-111
χ141111-111-111-1-11111111111111111111-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1111111-1-1-1-1-1-11111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-11-1111-1-1-111111-1-1-1111111-11-11-1-111-1-1-1-11111-1-1-11-1111-1-1
χ151111-111-111-1-11111111111111111111-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1111111-1-1-1-1-1-1111111-11-1111-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11-11-111-1-11111-1-1-1-111-11-1111-1-1
χ161111-111-111-1-11111111111111111111-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1111111-1-1-1-1-1-1111111-11-1111-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-11-11-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-11-11-1-1-111
χ1711-1-1111-111i−ii−i111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i1-1-11i−ii−iii−i−iiiiiii−i−i−i−i−i−i1-1111i−ii−i-1-1-1iii−i−i−iiii−i−i−i1-1-11111-1-1-1i−i-1-1-1111iii−i−i−i11-1-111i−ii−i-1-11-1i−ii−i-111-1i−ii−i
χ1811-1-1111-111i−ii−i111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i1-1-11i−ii−iii−i−iiiiiii−i−i−i−i−i−i1-1111i−ii−i-1-1-1iii−i−i−iiii−i−i−i1-1-11111-1-1-1i−i-1-1-1111iii−i−i−i-1-111-1-1−ii−ii11-11−ii−ii1-1-11−ii−ii
χ1911-1-1111-111i−ii−i111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i-111-1−ii−ii−i−iii−i−i−i−i−i−iiiiiii1-1111i−ii−i-1-1-1iii−i−i−iiii−i−i−i-111-1-1-1-1111−ii111-1-1-1−i−i−iiii11-1-111i−ii−i-1-11-1i−ii−i1-1-11−ii−ii
χ2011-1-1111-111i−ii−i111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i-111-1−ii−ii−i−iii−i−i−i−i−i−iiiiiii1-1111i−ii−i-1-1-1iii−i−i−iiii−i−i−i-111-1-1-1-1111−ii111-1-1-1−i−i−iiii-1-111-1-1−ii−ii11-11−ii−ii-111-1i−ii−i
χ2111-1-1111-111−ii−ii111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii1-1-11−ii−ii−i−iii−i−i−i−i−i−iiiiiii1-1111−ii−ii-1-1-1−i−i−iiii−i−i−iiii1-1-11111-1-1-1−ii-1-1-1111−i−i−iiii11-1-111−ii−ii-1-11-1−ii−ii-111-1−ii−ii
χ2211-1-1111-111−ii−ii111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii1-1-11−ii−ii−i−iii−i−i−i−i−i−iiiiiii1-1111−ii−ii-1-1-1−i−i−iiii−i−i−iiii1-1-11111-1-1-1−ii-1-1-1111−i−i−iiii-1-111-1-1i−ii−i11-11i−ii−i1-1-11i−ii−i
χ2311-1-1111-111−ii−ii111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii-111-1i−ii−iii−i−iiiiiii−i−i−i−i−i−i1-1111−ii−ii-1-1-1−i−i−iiii−i−i−iiii-111-1-1-1-1111i−i111-1-1-1iii−i−i−i11-1-111−ii−ii-1-11-1−ii−ii1-1-11i−ii−i
χ2411-1-1111-111−ii−ii111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii-111-1i−ii−iii−i−iiiiiii−i−i−i−i−i−i1-1111−ii−ii-1-1-1−i−i−iiii−i−i−iiii-111-1-1-1-1111i−i111-1-1-1iii−i−i−i-1-111-1-1i−ii−i11-11i−ii−i-111-1−ii−ii
χ2511-1-1-111111i−i−ii111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1111i−i−iii−i−ii111-1-1-1-1-1-1iii−i−i−i−i−i−iiii11-1-1i−i−iiii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1i−i−ii111iii−i−i−i−i−i−iiii11-1-1111111−ii-1-1-1-1-1-1−i−i−iiii1-1-1111i−i−ii-1-1-11i−i−ii-1-111i−i−ii
χ2611-1-1-111111i−i−ii111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1111i−i−iii−i−ii111-1-1-1-1-1-1iii−i−i−i−i−i−iiii11-1-1i−i−iiii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1i−i−ii111iii−i−i−i−i−i−iiii11-1-1111111−ii-1-1-1-1-1-1−i−i−iiii-111-1-1-1−iii−i111-1−iii−i11-1-1−iii−i
χ2711-1-1-111111i−i−ii111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1111i−i−iii−i−ii111-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-111−iii−i−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1i−i−ii111iii−i−i−i−i−i−iiii-1-111-1-1-1-1-1-1i−i111111iii−i−i−i1-1-1111i−i−ii-1-1-11i−i−ii11-1-1−iii−i
χ2811-1-1-111111i−i−ii111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1111i−i−iii−i−ii111-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-111−iii−i−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1i−i−ii111iii−i−i−i−i−i−iiii-1-111-1-1-1-1-1-1i−i111111iii−i−i−i-111-1-1-1−iii−i111-1−iii−i-1-111i−i−ii
χ2911-1-1-111111−iii−i111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1111−iii−i−iii−i111-1-1-1-1-1-1−i−i−iiiiiii−i−i−i11-1-1−iii−i−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1−iii−i111−i−i−iiiiiii−i−i−i11-1-1111111i−i-1-1-1-1-1-1iii−i−i−i1-1-1111−iii−i-1-1-11−iii−i-1-111−iii−i
χ3011-1-1-111111−iii−i111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1111−iii−i−iii−i111-1-1-1-1-1-1−i−i−iiiiiii−i−i−i11-1-1−iii−i−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1−iii−i111−i−i−iiiiiii−i−i−i11-1-1111111i−i-1-1-1-1-1-1iii−i−i−i-111-1-1-1i−i−ii111-1i−i−ii11-1-1i−i−ii
χ3111-1-1-111111−iii−i111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1111−iii−i−iii−i111-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-111i−i−iiii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1−iii−i111−i−i−iiiiiii−i−i−i-1-111-1-1-1-1-1-1−ii111111−i−i−iiii1-1-1111−iii−i-1-1-11−iii−i11-1-1i−i−ii
χ3211-1-1-111111−iii−i111-1-1-1-1111-1-1-1-1-1-11-1-1111111-1-1-1-1-1111−iii−i−iii−i111-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-111i−i−iiii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1−iii−i111−i−i−iiiiiii−i−i−i-1-111-1-1-1-1-1-1−ii111111−i−i−iiii-111-1-1-1i−i−ii111-1i−i−ii-1-111−iii−i
χ3322222222222222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ3422222222222222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211111111111122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-211111111111100000000000000000000000000
χ352222222222-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-2-2-2-211111111111122-1-1-1-2-2-2-2-1-1-11111111111112222-1-1-1-1-1-1-2-2-1-1-1-1-1-111111100000000000000000000000000
χ362222222222-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-2-2-2-2-1-1-1111111111111-2-2-2-211111122111111-1-1-1-1-1-100000000000000000000000000
χ37222222-122-1222222222-1-1222222222-12-1-1-1-1-12-1-1-1222-1-1-12222-1-1-1-1222-1-1-1-1-1-1222222222222000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-12222-1-1-1-1-1-1-1-100000000
χ38222222-122-1222222222-1-1222222222-12-1-1-1-1-12-1-1-1222-1-1-12222-1-1-1-1222-1-1-1-1-1-1222222222222000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-211-2-2-2-21111111100000000
χ39222222-122-1-2-2-2-222222-1-1222222222-12-1-1-1-1-12-1-1-1222-1-1-1-2-2-2-21111222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-1-1-1-1-11111-1-1-11111111111110000000000000000000000002222-1-1-2-2-2-2-1-1-1-1111100000000
χ40222222-122-1-2-2-2-222222-1-1222222222-12-1-1-1-1-12-1-1-1222-1-1-1-2-2-2-21111222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-1-1-1-1-11111-1-1-1111111111111000000000000000000000000-2-2-2-21122221111-1-1-1-100000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.