Finite Group Databasebeta

← Group #11874184

Character table — Group #11874184

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222244444466666666888888242422224444444444888888121212121212121216161616161648483333666666666612121212121218181818181818182424242424247272
order12223446668888121224242424444488882266662236663121266624242424121224242424121212122424242466666666222264466688881212242424244444888822666622
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1
χ61111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-11
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-1
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χ112222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-1002222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-1002222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-100
χ122222-122-1-1-12222-1-1-1-1-1-100000000-2-21111002222-122-1-1-12222-1-1-1-1-1-100000000-2-21111002222-122-1-1-12222-1-1-1-1-1-100000000-2-2111100
χ132222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-111002222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-111002222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-11100
χ142222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-1002222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-1002222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-100
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χ2022-2-2-12-211-122-2-21-1-1-1110000000000i3−i3i3−i30022-2-2-12-211-122-2-21-1-1-1110000000000i3−i3i3−i30022-2-2-12-211-122-2-21-1-1-1110000000000i3−i3i3−i300
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χ232-22-22002-2-22−22−2002−22−2002-22−22−2000000002-22-22002-2-22−22−2002−22−2002-22−22−2000000002-22-22002-2-22−22−2002−22−2002-22−22−200000000
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χ252-22-22002-2-2−22−2200−22−22002-2−22−22000000002-22-22002-2-2−22−2200−22−22002-2−22−22000000002-22-22002-2-2−22−2200−22−22002-2−22−2200000000
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χ381111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3911111111111111111111-1-1-1-1-1-1-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ411111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-11-1-111-11
χ421111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-111-1-11-1
χ431111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1111-1
χ441111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-111-1-1-11
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χ5122-2-222-2-2-2222-2-2-2222-2-2000000000000000022-2-222-2-2-2222-2-2-2222-2-20000000000000000-2-222-2-2222-2-2-2222-2-2-2220000000000000000
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χ984-44-44004-4-4−2222−222200−2222−222200-4422−2222−2200000000-22-22-200-2222−22−2002−22−2002-2−22−2200000000000000000000000000000000000000000000
χ994-4-44400-44-422−22−22220022−22−22224-40022−22−222200000000-222-2-2002-22−222−200−222−2-2200−222−200000000000000000000000000000000000000000000
χ1004-4-44400-44-422−22−22220022−22−2222-4400−222222−2200000000-222-2-2002-22−222−200−222−22-2002−2−2200000000000000000000000000000000000000000000
χ1014-4-44400-44-4−222222−2200−222222−224-400−222222−2200000000-222-2-2002-222−2−22002−2−22-22002−2−2200000000000000000000000000000000000000000000
χ1024-4-44400-44-4−222222−2200−222222−22-440022−22−222200000000-222-2-2002-222−2−22002−2−222-200−222−200000000000000000000000000000000000000000000
χ1038888-4-8-8-4-4-400004400000000000000000000-4-4-4-42442220000-2-200000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-8844-40000-4400000000000000000000-4-44424-4-2-2200002-200000000000000000000000000000000000000000000000000000000
χ1058-88-8-400-44442−4242−4200−2222−22220000000000000000-44-442002-2-2−2222−2222002−22−20000000000000000000000000000000000000000000000000000
χ1068-88-8-400-444−4242−42420022−2222−220000000000000000-44-442002-2-222−2222−2200−22−220000000000000000000000000000000000000000000000000000
χ1078-8-88-4004-4442−42−424200−222222−220000000000000000-444-4200-22-2−222222−22002−2−220000000000000000000000000000000000000000000000000000
χ1088-8-88-4004-44−424242−420022−22−22220000000000000000-444-4200-22-222−22−222200−222−20000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).