Finite Group Databasebeta

← Group #11873369

Character table — Group #11873369

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order12223344666666888836661212121212121212242424242424242424242424242424244444888822446666121212122222664466666688886666121212121212121224242424242424242424242424242424444488882244666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111
χ811111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ9222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000
χ10222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2220000000000000000
χ1122222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000020200-1-100-1-122222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000020200-1-100-1-1
χ1222222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-20-20011001122222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-20-200110011
χ1322222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000020-200-1-1001122222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000020-200-1-10011
χ1422222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111000000000-202001100-1-122222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111000000000-202001100-1-1
χ152222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002020-1-100-1-1002222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002020-1-100-1-100
χ162222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-20-20110011002222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-20-2011001100
χ172222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000020-20-1-10011002222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000020-20-1-1001100
χ182222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-21111111100000000-20201100-1-1002222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-21111111100000000-20201100-1-100
χ1922-2-2222-2-2-222-2-200002-2-22-2-2-2-22222000000000000000000002i2i−2i−2i00000000000022-2-2222-2-2-222-2-200002-2-22-2-2-2-22222000000000000000000002i2i−2i−2i000000000000
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χ2822-2-2-12-221-2-121-22i2i−2i−2i-111-1-12-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiii000000000000i3−i300−330022-2-2-12-221-2-121-22i2i−2i−2i-111-1-12-1-11-211−i−iii2i2i−2i−2i−i−i−i−iiiii000000000000i3−i300−3300
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χ312-22-2220022-2-2-2-2−i2i2−i2i222-2-200000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-200−i2i2−i2i20000000000002-22-2220022-2-2-2-2−i2i2−i2i222-2-200000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-200−i2i2−i2i2000000000000
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χ362-2-222200-2-2-2-2222−2−222-22-2000000002−2−222−2−2222−2−2−2−22200-22−222−20000000000002-2-222200-2-2-2-2222−2−222-22-2000000002−2−222−2−2222−2−2−2−22200-22−222−2000000000000
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χ404444-24-4-4-24-24-240000-2-2-2-22-4222-4220000000000000000000000000000000000004444-24-4-4-24-24-240000-2-2-2-22-4222-422000000000000000000000000000000000000
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χ424444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-21122222222-1-1-1-1-1-1-1-1000000000000000000004444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-21122222222-1-1-1-1-1-1-1-100000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.