Finite Group Databasebeta

← Group #11857922

Character table — Group #11857922

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222444444444444444444444444444444121212121212121218181818242424242424242436361111222222222244444444444444444444444444444412121212121212121818181824242424242424243636
order122233446666663666881212121212121212242424242424242424242424242424242244444422446612121212121288222266446666666666881212121212121212242424242424242424242424242424242244444422446612121212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111
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χ111-1-11111-1-1-11-1-111-1-11i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−iii−i1-1-11-11-11−iii−i1-1−ii1-1-11111-1-1-11-1-111-1-11i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−iii−i1-1-11-11-11−iii−i1-1−ii
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χ141-1-11111-1-1-11-1-111-1-11−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii−ii1-11-11-11-1−ii−ii1-1−ii1-1-11111-1-1-11-1-111-1-11−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−ii−ii1-11-11-11-1−ii−ii1-1−ii
χ151-1-11111-1-1-11-1-111-1-11−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−ii−i-111-11-1-11i−ii−i-11−ii1-1-11111-1-1-11-1-111-1-11−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11i−ii−i-111-11-1-11i−ii−i-11−ii
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χ232222-1222-122-12-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-1002222-1222-122-12-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-100
χ242222-1222-122-12-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000001111002222-1222-122-12-1-1-1-1-1222-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000111100
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χ1284-4-44-24-442-442-4-2-222-200-42224-2-2-200000000000000000000000000000000000000-444-42-44-4-24-4-2422-2-22004-2-2-2-422200000000000000000000000000000000000000
χ1294-4-44-2-24-422-222-21-1-114i−4i-2-21122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000-444-422-44-2-22-2-22-111-1−4i4i22-1-1-2-2112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000
χ1304-4-44-2-24-422-222-21-1-11−4i4i-2-21122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000-444-422-44-2-22-2-22-111-14i−4i22-1-1-2-211−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000
χ1314-4-44-2-2-4422-222-21-1-110022-1-1-2-211000033-3-30000-3-3330000000000000000000000-444-4224-4-2-22-2-22-111-100-2-21122-1-10000-3-333000033-3-30000000000000000000000
χ1324-4-44-2-2-4422-222-21-1-110022-1-1-2-2110000-3-333000033-3-30000000000000000000000-444-4224-4-2-22-2-22-111-100-2-21122-1-1000033-3-30000-3-3330000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.