Finite Group Databasebeta

← Group #13149848

Character table — Group #13149848

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11112222222222222222222222222233334444444444444444444444444444444444444444444444666666666666666666666688888888888888888888888899991212121212121212121212121212121212121212121212121818181818181818181827272727363636363636545454545454
order1244233466888899912121212181818363636363636888836669991212121218181818181824242424242424243636363636363636367272727272727272727272722244882424242472727272727272727272727261218181824242424363636727272727272727272727272888866121218181818181824243636363636367272727272722244882424242422446612122424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ51111111111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111-1-1-1-11111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111
χ81111111111-1-1-1-11111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-1
χ91111-111-11111-1-1111111111111111111111-1-11111-1-111-1-1-111111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-11-11-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-111111-11-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-11-1-1-1111111111-11-1-1-1-1-111-1-1
χ101111-111-11111-1-1111111111111111111111-1-11111-1-111-1-1-111111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-11-11-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-11-111111-1-111
χ111111-111-11111-1-11111111111111111-1-1-1-11-1-11111-1-111-1-1-111111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-11111-11-11-1-1-111111-1-1-11111111111-11-1-1-11111-1-1-1-11-11-1-1-111-1-111
χ121111-111-11111-1-11111111111111111-1-1-1-11-1-11111-1-111-1-1-111111-1-111-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111-1-1-1111111111-11-1111-1-1-1-11111-11-1111-1-111-1-1
χ131111-111-111-1-111111111111111111111111-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1111111-1-1-1-1-1-1111111-11-11-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-11-11-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-11-11-1-111111111-11-11-1-1-1-1-1-111
χ141111-111-111-1-111111111111111111111111-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1111111-1-1-1-1-1-1111111-11-11-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-11-11-1111111-1-1
χ151111-111-111-1-1111111111111111111-1-1-1-11-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1111111-1-1-1-1-1-11111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-11-1111-1-1-111111-1-1-1111111-11-11-1-11111-1-1-1-1-11-11-1-11111-1-1
χ161111-111-111-1-1111111111111111111-1-1-1-11-1-11111-1-111-1-1-1111-1-111-1-111-1-1-1111111-1-1-1-1-1-11111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-11-11-1111-1-1-111111-1-1-11111111-11-111-1-1-1-111111-11-111-1-1-1-111
χ1711-1-1111-111i−ii−i111-1-1-1-1111-1-1-1-1-1-1ii−i−i1111111-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i1-1-11i−iii−i−iiiiiii−i−i−i−i−i−i1-1111i−ii−i-1-1-1iii−i−i−iiii−i−i−iii−i−i1-1-11111-1-1-1i−i-1-1-1111iii−i−i−i1-1-11i−iii−i−i11-1-11-1-11i−i1-1i−ii−i
χ1811-1-1111-111i−ii−i111-1-1-1-1111-1-1-1-1-1-1ii−i−i1111111-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i1-1-11i−iii−i−iiiiiii−i−i−i−i−i−i1-1111i−ii−i-1-1-1iii−i−i−iiii−i−i−i−i−iii1-1-11111-1-1-1i−i-1-1-1111iii−i−i−i-111-1−ii−i−iii-1-111-111-1−ii-11−ii−ii
χ1911-1-1111-111i−ii−i111-1-1-1-1111-1-1-1-1-1-1−i−iii1111111-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i-111-1−ii−i−iii−i−i−i−i−i−iiiiiii1-1111i−ii−i-1-1-1iii−i−i−iiii−i−i−iii−i−i-111-1-1-1-1111−ii111-1-1-1−i−i−iiii1-1-11i−iii−i−i-1-1111-1-11i−i-11−ii−ii
χ2011-1-1111-111i−ii−i111-1-1-1-1111-1-1-1-1-1-1−i−iii1111111-1-1-1-1111111i−ii−ii−ii−i-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i-111-1−ii−i−iii−i−i−i−i−i−iiiiiii1-1111i−ii−i-1-1-1iii−i−i−iiii−i−i−i−i−iii-111-1-1-1-1111−ii111-1-1-1−i−i−iiii-111-1−ii−i−iii11-1-1-111-1−ii1-1i−ii−i
χ2111-1-1111-111−ii−ii111-1-1-1-1111-1-1-1-1-1-1ii−i−i1111111-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii-111-1i−iii−i−iiiiiii−i−i−i−i−i−i1-1111−ii−ii-1-1-1−i−i−iiii−i−i−iiiiii−i−i-111-1-1-1-1111i−i111-1-1-1iii−i−i−i-111-1i−iii−i−i11-1-1-111-1i−i1-1−ii−ii
χ2211-1-1111-111−ii−ii111-1-1-1-1111-1-1-1-1-1-1ii−i−i1111111-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii-111-1i−iii−i−iiiiiii−i−i−i−i−i−i1-1111−ii−ii-1-1-1−i−i−iiii−i−i−iiii−i−iii-111-1-1-1-1111i−i111-1-1-1iii−i−i−i1-1-11−ii−i−iii-1-1111-1-11−ii-11i−ii−i
χ2311-1-1111-111−ii−ii111-1-1-1-1111-1-1-1-1-1-1−i−iii1111111-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii1-1-11−ii−i−iii−i−i−i−i−i−iiiiiii1-1111−ii−ii-1-1-1−i−i−iiii−i−i−iiiiii−i−i1-1-11111-1-1-1−ii-1-1-1111−i−i−iiii-111-1i−iii−i−i-1-111-111-1i−i-11i−ii−i
χ2411-1-1111-111−ii−ii111-1-1-1-1111-1-1-1-1-1-1−i−iii1111111-1-1-1-1111111−ii−ii−ii−ii-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii1-1-11−ii−i−iii−i−i−i−i−i−iiiiiii1-1111−ii−ii-1-1-1−i−i−iiii−i−i−iiii−i−iii1-1-11111-1-1-1−ii-1-1-1111−i−i−iiii1-1-11−ii−i−iii11-1-11-1-11−ii1-1−ii−ii
χ2511-1-1-111111i−i−ii111-1-1-1-1111-1-1-1-1-1-1ii−i−i1-1-1111111-1-1-1-1-1111i−i−iii−i−ii111-1-1-1-1-1-1iii−i−i−i−i−i−iiii11-1-1−iiii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1i−i−ii111iii−i−i−i−i−i−iiiiii−i−i11-1-1111111−ii-1-1-1-1-1-1−i−i−iiii11-1-1−iiii−i−i11-1-111-1-1−ii-11i−i−ii
χ2611-1-1-111111i−i−ii111-1-1-1-1111-1-1-1-1-1-1ii−i−i1-1-1111111-1-1-1-1-1111i−i−iii−i−ii111-1-1-1-1-1-1iii−i−i−i−i−i−iiii11-1-1−iiii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1i−i−ii111iii−i−i−i−i−i−iiii−i−iii11-1-1111111−ii-1-1-1-1-1-1−i−i−iiii-1-111i−i−i−iii-1-111-1-111i−i1-1−iii−i
χ2711-1-1-111111i−i−ii111-1-1-1-1111-1-1-1-1-1-1−i−iii1-1-1111111-1-1-1-1-1111i−i−iii−i−ii111-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-111i−i−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1i−i−ii111iii−i−i−i−i−i−iiiiii−i−i-1-111-1-1-1-1-1-1i−i111111iii−i−i−i11-1-1−iiii−i−i-1-11111-1-1−ii1-1−iii−i
χ2811-1-1-111111i−i−ii111-1-1-1-1111-1-1-1-1-1-1−i−iii1-1-1111111-1-1-1-1-1111i−i−iii−i−ii111-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-111i−i−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1i−i−ii111iii−i−i−i−i−i−iiii−i−iii-1-111-1-1-1-1-1-1i−i111111iii−i−i−i-1-111i−i−i−iii11-1-1-1-111i−i-11i−i−ii
χ2911-1-1-111111−iii−i111-1-1-1-1111-1-1-1-1-1-1ii−i−i1-1-1111111-1-1-1-1-1111−iii−i−iii−i111-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-111−iiii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1−iii−i111−i−i−iiiiiii−i−i−iii−i−i-1-111-1-1-1-1-1-1−ii111111−i−i−iiii-1-111−iiii−i−i11-1-1-1-111−ii-11−iii−i
χ3011-1-1-111111−iii−i111-1-1-1-1111-1-1-1-1-1-1ii−i−i1-1-1111111-1-1-1-1-1111−iii−i−iii−i111-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-111−iiii−i−iiiiiii−i−i−i−i−i−i-11-1-1-1−iii−i111−i−i−iiiiiii−i−i−i−i−iii-1-111-1-1-1-1-1-1−ii111111−i−i−iiii11-1-1i−i−i−iii-1-11111-1-1i−i1-1i−i−ii
χ3111-1-1-111111−iii−i111-1-1-1-1111-1-1-1-1-1-1−i−iii1-1-1111111-1-1-1-1-1111−iii−i−iii−i111-1-1-1-1-1-1−i−i−iiiiiii−i−i−i11-1-1i−i−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1−iii−i111−i−i−iiiiiii−i−i−iii−i−i11-1-1111111i−i-1-1-1-1-1-1iii−i−i−i-1-111−iiii−i−i-1-111-1-111−ii1-1i−i−ii
χ3211-1-1-111111−iii−i111-1-1-1-1111-1-1-1-1-1-1−i−iii1-1-1111111-1-1-1-1-1111−iii−i−iii−i111-1-1-1-1-1-1−i−i−iiiiiii−i−i−i11-1-1i−i−i−iii−i−i−i−i−i−iiiiiii-11-1-1-1−iii−i111−i−i−iiiiiii−i−i−i−i−iii11-1-1111111i−i-1-1-1-1-1-1iii−i−i−i11-1-1i−i−i−iii11-1-111-1-1i−i-11−iii−i
χ3322222222222222-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ3422222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-211111111111122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2111111-2-211111111111100000000000000000000000000
χ352222222222-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-122222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-2-2-2-2-1-1-11111111111110000-2-2-2-211111122111111-1-1-1-1-1-100000000000000000000000000
χ362222222222-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-2-211111111111122-1-1-1-2-2-2-2-1-1-111111111111100002222-1-1-1-1-1-1-2-2-1-1-1-1-1-111111100000000000000000000000000
χ37222222-122-1222222222-1-12222222220000-12-1-1-1-1-12-1-1-1222-1-1-12222-1-1-1-1222-1-1-1-1-1-12222222222220000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000000000222222-1-1-1-10000-1-1-1-1-1-1000000
χ38222222-122-1222222222-1-12222222220000-12-1-1-1-1-12-1-1-1222-1-1-12222-1-1-1-1222-1-1-1-1-1-12222222222220000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000000000-2-2-2-2-2-211110000111111000000
χ39222222-122-1-2-2-2-222222-1-12222222220000-12-1-1-1-1-12-1-1-1222-1-1-1-2-2-2-21111222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000-1-1-1-1-11111-1-1-11111111111112222000000000000000000000000-2-2-2-222-1-1-1-100001111-1-1000000
χ40222222-122-1-2-2-2-222222-1-12222222220000-12-1-1-1-1-12-1-1-1222-1-1-1-2-2-2-21111222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000-1-1-1-1-11111-1-1-1111111111111-2-2-2-20000000000000000000000002222-2-211110000-1-1-1-111000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.