Finite Group Databasebeta

← Group #13135943

Character table — Group #13135943

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146
size11111111111122222222222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636
order122233666666224444666612121212121212128888242424242424242433336666666666661212121212121212121212121212121266666666121212121212121224242424242424242424242424242424242424242424242424242424242424244444888812121212121212122424242424242424
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
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−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−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−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−i−iii-1-1-1-11111−i−i−i−iiiii
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−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−iiiiiiiiiiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−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-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i
χ91-11-111-1-111-1-11-11-11-111-1-111-1-111-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101-11-111-1-111-1-11-11-11-111-1-111-1-111-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111-11-111-1-111-1-11-11-11-111-1-111-1-111-1-1-11-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121-11-111-1-111-1-11-11-11-111-1-111-1-111-1-1-11-11-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131-11-111-1-111-1-11-1-11-1111-1-1-1-111-1-111i−i−iiii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1
χ141-11-111-1-111-1-11-1-11-1111-1-1-1-111-1-111i−i−iiii−i−i−i−iii1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111
χ151-11-111-1-111-1-11-1-11-1111-1-1-1-111-1-111−iii−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−ii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111
χ161-11-111-1-111-1-11-1-11-1111-1-1-1-111-1-111−iii−i−i−iiiii−i−i1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-1
χ172222222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222222222222222222222-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000
χ19222222222222222222222222222222222222222222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000
χ20222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000
χ21222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000
χ22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000
χ23222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000
χ24222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000
χ2522222222222222-2-2-2-22222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2111-21112i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii000000000000000000000000
χ2622222222222222-2-2-2-22222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-12-1-1-12-1-11-2111-211−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii000000000000000000000000
χ2722222222222222-2-2-2-22222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-12-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-211-1-12-1-1-12-111-2111-21−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii000000000000000000000000
χ2822222222222222-2-2-2-22222-2-2-2-2-2-2-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-12-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2-1-1-12-1-1-12111-2111-2−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i000000000000000000000000
χ2922222222222222-2-2-2-22222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1-2111-2111−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i000000000000000000000000
χ3022222222222222-2-2-2-22222-2-2-2-2-2-2-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-12-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-12-1-1-12-1-11-2111-211ii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−i000000000000000000000000
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χ42222222222222-2-2-222-2-2-2-2-2-2-22222-2-200000000000022222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
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χ48222222222222-2-2-222-2-2-2-2-2-2-22222-2-2000000000000-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-21i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3000000000000000000000000
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χ512-22-222-2-222-2-22-22-22-222-2-222-2-222-2-22-22-222-2-222-2-22-1-1-1-2-21111112-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-21112-1-1-1-211122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.