Finite Group Databasebeta

← Group #11873405

Character table — Group #11873405

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order1222334466666688883666121212121212121224242424242424242424242424242424444488884444121212121212121222226644666666888866661212121212121212242424242424242424242424242424244444888844441212121212121212
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
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1
χ811111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-111
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
χ1322222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000020-2001100-1-122222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-211111111111100000000020-2001100-1-1
χ1422222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111000000000-20200-1-1001122222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111000000000-20200-1-10011
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
χ172222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000020-201100-1-1002222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-2111111110000000020-201100-1-100
χ182222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-21111111100000000-2020-1-10011002222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-11111-2-2-2-21111111100000000-2020-1-1001100
χ1922-2-2220022-2-2-2-222−2−222-2-20000000022−2−222−2−22222−2−2−2−22-20022−2−200000000000022-2-2220022-2-2-2-222−2−222-2-20000000022−2−222−2−22222−2−2−2−22-20022−2−2000000000000
χ2022-2-2220022-2-2-2-222−2−222-2-20000000022−2−222−2−22222−2−2−2−2-2200−2−22200000000000022-2-2220022-2-2-2-222−2−222-2-20000000022−2−222−2−22222−2−2−2−2-2200−2−222000000000000
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χ2222-2-2220022-2-2-2-2−2−22222-2-200000000−2−222−2−222−2−2−2−22222-220022−2−200000000000022-2-2220022-2-2-2-2−2−22222-2-200000000−2−222−2−222−2−2−2−22222-220022−2−2000000000000
χ232-22-2222-2-2-2-2-22200002-2-22-2-2-2-22222000000000000000000002i−2i2i−2i0000000000002-22-2222-2-2-2-2-22200002-2-22-2-2-2-22222000000000000000000002i−2i2i−2i000000000000
χ242-22-2222-2-2-2-2-22200002-2-22-2-2-2-2222200000000000000000000−2i2i−2i2i0000000000002-22-2222-2-2-2-2-22200002-2-22-2-2-2-2222200000000000000000000−2i2i−2i2i000000000000
χ252-22-222-22-2-2-2-2222i−2i2i−2i2-2-222222-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000002-22-222-22-2-2-2-2222i−2i2i−2i2-2-222222-2-2-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000
χ262-22-222-22-2-2-2-222−2i2i−2i2i2-2-222222-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000002-22-222-22-2-2-2-222−2i2i−2i2i2-2-222222-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ272-22-22-1-22-21-212-12i−2i2i−2i-111-12-1-1-1-21112i−2i2i−2i−ii−ii−i−iii−i−iii000000000000003−300−i3i32-22-22-1-22-21-212-12i−2i2i−2i-111-12-1-1-1-21112i−2i2i−2i−ii−ii−i−iii−i−iii000000000000003−300−i3i3
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χ292-22-22-1-22-21-212-1−2i2i−2i2i-111-12-1-1-1-2111−2i2i−2i2ii−ii−iii−i−iii−i−i000000000000003−300i3−i32-22-22-1-22-21-212-1−2i2i−2i2i-111-12-1-1-1-2111−2i2i−2i2ii−ii−iii−i−iii−i−i000000000000003−300i3−i3
χ302-22-22-1-22-21-212-1−2i2i−2i2i-111-12-1-1-1-2111−2i2i−2i2ii−ii−iii−i−iii−i−i00000000000000−3300−i3i32-22-22-1-22-21-212-1−2i2i−2i2i-111-12-1-1-1-2111−2i2i−2i2ii−ii−iii−i−iii−i−i00000000000000−3300−i3i3
χ312-22-2-12-221-21-2-122i−2i2i−2i-111-1-12-1-11-211−ii−ii2i−2i2i−2i−i−iii−i−iii0000000000003−300−i3i3002-22-2-12-221-21-2-122i−2i2i−2i-111-1-12-1-11-211−ii−ii2i−2i2i−2i−i−iii−i−iii0000000000003−300−i3i300
χ322-22-2-12-221-21-2-122i−2i2i−2i-111-1-12-1-11-211−ii−ii2i−2i2i−2i−i−iii−i−iii000000000000−3300i3−i3002-22-2-12-221-21-2-122i−2i2i−2i-111-1-12-1-11-211−ii−ii2i−2i2i−2i−i−iii−i−iii000000000000−3300i3−i300
χ332-22-2-12-221-21-2-12−2i2i−2i2i-111-1-12-1-11-211i−ii−i−2i2i−2i2iii−i−iii−i−i0000000000003−300i3−i3002-22-2-12-221-21-2-12−2i2i−2i2i-111-1-12-1-11-211i−ii−i−2i2i−2i2iii−i−iii−i−i0000000000003−300i3−i300
χ342-22-2-12-221-21-2-12−2i2i−2i2i-111-1-12-1-11-211i−ii−i−2i2i−2i2iii−i−iii−i−i000000000000−3300−i3i3002-22-2-12-221-21-2-12−2i2i−2i2i-111-1-12-1-11-211i−ii−i−2i2i−2i2iii−i−iii−i−i000000000000−3300−i3i300
χ352-2-222200-2-222-2-2−i2i2i2−i22-22-200000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2002-2−i2i2i2−i20000000000002-2-222200-2-222-2-2−i2i2i2−i22-22-200000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2002-2−i2i2i2−i2000000000000
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χ372-2-222200-2-222-2-2i2−i2−i2i22-22-200000000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2002-2i2−i2−i2i20000000000002-2-222200-2-222-2-2i2−i2−i2i22-22-200000000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2002-2i2−i2−i2i2000000000000
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χ3944444-2-4-44-24-24-20000-2-2-2-2-4222-422200000000000000000000000000000000000044444-2-4-44-24-24-20000-2-2-2-2-4222-4222000000000000000000000000000000000000
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
χ414444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-2-2-2-2-211111111000000000000000000004444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-2-2-2-2-21111111100000000000000000000
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
χ434444-2-2-4-4-2-2-2-2-2-20000111122-1-122-1-1000000003i−3i3i−3i3i−3i3i−3i000000000000000000004444-2-2-4-4-2-2-2-2-2-20000111122-1-122-1-1000000003i−3i3i−3i3i−3i3i−3i00000000000000000000
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χ4544-4-44-2004-2-42-422222−22−22-2-222000000002222−22−22−2−222−2−2−2−222220000000000000000000044-4-44-2004-2-42-422222−22−22-2-222000000002222−22−22−2−222−2−2−2−2222200000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.