Finite Group Databasebeta

← Group #13135859

Character table — Group #13135859

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111111122222222222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order12334466121212122466888812122424242424242424161616164848484848484848333366661212121212121212242424242424242424242424242424246666121212122424242424242424484848484848484848484848484848484848484848484848484848484848484844881212121216161616242424244848484848484848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ51111111111111111-1-1-1-111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i
χ61111111111111111-1-1-1-111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i
χ9111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−ii−ii−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−ii−ii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111i−ii−iii−i−i−ii−iiii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−ii−ii−i−iiii−ii−i−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-1-1-111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−iiii−i−i-111-1−i−iii-1-11111-1-1
χ14111111111111-1-1-1-1-1-111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i−i−iii1-1-11ii−i−i11-1-1-1-111
χ15111111111111-1-1-1-1-1-111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−iiii−i−i1-1-11−i−iii11-1-1-1-111
χ16111111111111-1-1-1-1-1-111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i−i−iii-111-1ii−i−i-1-11111-1-1
χ172222222222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000
χ19222222222222222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000
χ20222222222222222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000
χ21222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000
χ22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000
χ23222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000
χ24222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000
χ252222222222222222-2-2-2-222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-12-1-1-1-2-21111112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii000000000000000000000000
χ262222222222222222-2-2-2-222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-12-1-111-2-21111−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii000000000000000000000000
χ272222222222222222-2-2-2-222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-1-12-11111-2-211−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii000000000000000000000000
χ282222222222222222-2-2-2-222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-1-1-12111111-2-2−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i000000000000000000000000
χ292222222222222222-2-2-2-222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-12-1-1-1-2-2111111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i000000000000000000000000
χ302222222222222222-2-2-2-222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-12-1-111-2-21111ii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−i000000000000000000000000
χ312222222222222222-2-2-2-222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-1-12-11111-2-211iiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−i000000000000000000000000
χ322222222222222222-2-2-2-222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-1-1-12111111-2-2iiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2i000000000000000000000000
χ33222222222222-2-2-2-222-2-2-2-22222-2-2-2-22-22-222-2-222-2-22-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2111-2111-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000000000000000
χ34222222222222-2-2-2-222-2-2-2-22222-2-2-2-22-22-222-2-222-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11-2111-21111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000000000000000
χ35222222222222-2-2-2-222-2-2-2-22222-2-2-2-22-22-222-2-222-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111-2111-211111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-11111-2-211000000000000000000000000
χ36222222222222-2-2-2-222-2-2-2-22222-2-2-2-22-22-222-2-222-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111-2111-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122111111-2-2000000000000000000000000
χ37222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-22-22-2-222-2-2222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2111-2111-2-2111111-2-211111122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1000000000000000000000000
χ38222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-22-22-2-222-2-222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11-2111-21111-2-2111111-2-21111-1-122-1-1-1-111-2-21111-1-122-1-1-1-1000000000000000000000000
χ39222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-22-22-2-222-2-222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111-2111-211111-2-2111111-2-211-1-1-1-122-1-11111-2-211-1-1-1-122-1-1000000000000000000000000
χ40222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-22-22-2-222-2-222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222111-2111-2111111-2-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122000000000000000000000000
χ41222222222222-2-2-2-2-2-222-2-2-2-2-2-222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2111-211122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000000000000000
χ42222222222222-2-2-2-2-2-222-2-2-2-2-2-222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111-2111-211-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000000000
χ43222222222222-2-2-2-2-2-222-2-2-2-2-2-222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111-2111-21-1-1-1-122-1-1−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i000000000000000000000000
χ44222222222222-2-2-2-2-2-222-2-2-2-2-2-222222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111-2111-2-1-1-1-1-1-122−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000000000
χ45222222222222-2-2-2-2-2-222-2-2-2-2-2-22222−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i2-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2111-211122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000000000000000
χ46222222222222-2-2-2-2-2-222-2-2-2-2-2-22222−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111-2111-211-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii000000000000000000000000
χ47222222222222-2-2-2-2-2-222-2-2-2-2-2-22222−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111-2111-21-1-1-1-122-1-1iiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii000000000000000000000000
χ48222222222222-2-2-2-2-2-222-2-2-2-2-2-22222−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111-2111-2-1-1-1-1-1-122iiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2i000000000000000000000000
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χ502222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i0000000000002-1-1-12-1-1-1-2-21111112i2i−2i−2i−i−iii−i−iii−i−iii2-1-1-1-21112i−2i−ii−ii−ii00−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
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χ542222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i000000000000-1-12-1-1-12-11111-2-211−i−iii−i−iii2i2i−2i−2i−i−iii-1-12-111-21−ii−ii2i−2i−ii−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300ζ5−ζ13−ζ5+ζ13000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.