Finite Group Databasebeta

← Group #11866715

Character table — Group #11866715

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222244444466666666888888242422224444444444888888121212121212121216161616161648483333666666666612121212121218181818181818182424242424247272
order122234466688881212242424242244888844121212122436663121266624242424121224242424661212242424241212121212126122222644666888812122424242422448888441212121224
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
χ922222-2-22220000-2-2000022-2-200000000000022222-2-22220000-2-2000022-2-200000000000022222-2-22220000-2-2000022-2-2000000000000
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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
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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
χ4522222-2-22220000-2-2000022-2-200000000000022222-2-22220000-2-2000022-2-2000000000000-2-2-2-2-222-2-2-20000220000-2-222000000000000
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χ782222222222-2-2-2-222-2-2-2-22222-2-2-2-2-22-2-222-22-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111-111-1-11-1000000000000000000000000000000000000
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χ802222222222-2-2-2-222-2-2-2-2-2-2-2-22222-22-2-2222-2-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-111-1-1-11000000000000000000000000000000000000
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χ8244444-4-44440000-4-40000-4-444000000000000-2-2-2-2-222-2-2-2000022000022-2-2000000000000000000000000000000000000000000000000
χ834444-244-2-2-24444-2-2-2-2-2-20000000044-2-2-2-200-2-2-2-21-2-2111-2-2-2-211111100000000-2-2111100000000000000000000000000000000000000
χ844444-244-2-2-24444-2-2-2-2-2-200000000-4-4222200-2-2-2-21-2-2111-2-2-2-21111110000000022-1-1-1-100000000000000000000000000000000000000
χ854444-244-2-2-2-4-4-4-4-2-22222000000004-4-2-22200-2-2-2-21-2-2111222211-1-1-1-100000000-2211-1-100000000000000000000000000000000000000
χ864444-244-2-2-2-4-4-4-4-2-2222200000000-4422-2-200-2-2-2-21-2-2111222211-1-1-1-1000000002-2-1-11100000000000000000000000000000000000000
χ8744-4-4400-44-4−2i2−2i22i22i200−2i2−2i22i22i24-400−2i2−2i22i22i200000000-2-222-2002-22i2i2−i2−i200i2i2−i2−i2-2200i2i2−i2−i200000000000000000000000000000000000000000000
χ8844-4-4400-44-4−2i2−2i22i22i200−2i2−2i22i22i2-44002i22i2−2i2−2i200000000-2-222-2002-22i2i2−i2−i200i2i2−i2−i22-200−i2−i2i2i200000000000000000000000000000000000000000000
χ8944-4-4400-44-42i22i2−2i2−2i2002i22i2−2i2−2i24-4002i22i2−2i2−2i200000000-2-222-2002-22−i2−i2i2i200−i2−i2i2i2-2200−i2−i2i2i200000000000000000000000000000000000000000000
χ9044-4-4400-44-42i22i2−2i2−2i2002i22i2−2i2−2i2-4400−2i2−2i22i22i200000000-2-222-2002-22−i2−i2i2i200−i2−i2i2i22-200i2i2−i2−i200000000000000000000000000000000000000000000
χ914-44-44004-4-422−2222−220022−2222−22004i−4i−2i22i2−2i22i200000000-22-22-200-222−22−2200−22−2200−2i2ii2−i2i2−i200000000000000000000000000000000000000000000
χ924-44-44004-4-422−2222−220022−2222−2200−4i4i2i2−2i22i2−2i200000000-22-22-200-222−22−2200−22−22002i−2i−i2i2−i2i200000000000000000000000000000000000000000000
χ934-44-44004-4-4−2222−222200−2222−2222004i−4i2i2−2i22i2−2i200000000-22-22-200-2222−22−2002−22−200−2i2i−i2i2−i2i200000000000000000000000000000000000000000000
χ944-44-44004-4-4−2222−222200−2222−222200−4i4i−2i22i2−2i22i200000000-22-22-200-2222−22−2002−22−2002i−2ii2−i2i2−i200000000000000000000000000000000000000000000
χ954-4-4444-4-4-444i−4i−4i4i4-44i−4i−4i4i0000000000000000-222-2-2-2222-2−2i2i2i−2i-22−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-44−4i4i4i−4i4-4−4i4i4i−4i0000000000000000-222-2-2-2222-22i−2i−2i2i-222i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ974-4-444-44-4-440000-44000000004-4-4400000000-222-2-22-222-200002-200000000-222-200000000000000000000000000000000000000000000
χ984-4-444-44-4-440000-4400000000-444-400000000-222-2-22-222-200002-2000000002-2-2200000000000000000000000000000000000000000000
χ994-4-44-24-422-24i−4i−4i4i-22−2i2i2i−2i000000000023−23−2i32i300-222-21-22-1-11−2i2i2i−2i1-1i−i−ii0000000000−33i3−i300000000000000000000000000000000000000
χ1004-4-44-24-422-24i−4i−4i4i-22−2i2i2i−2i0000000000−23232i3−2i300-222-21-22-1-11−2i2i2i−2i1-1i−i−ii00000000003−3−i3i300000000000000000000000000000000000000
χ1014-4-44-24-422-2−4i4i4i−4i-222i−2i−2i2i000000000023−232i3−2i300-222-21-22-1-112i−2i−2i2i1-1−iii−i0000000000−33−i3i300000000000000000000000000000000000000
χ1024-4-44-24-422-2−4i4i4i−4i-222i−2i−2i2i0000000000−2323−2i32i300-222-21-22-1-112i−2i−2i2i1-1−iii−i00000000003−3i3−i300000000000000000000000000000000000000
χ1038888-4-8-8-4-4-400004400000000000000000000-4-4-4-42442220000-2-200000000000000000000000000000000000000000000000000000000
χ10488-8-8-4004-44−4i2−4i24i24i2002i22i2−2i2−2i20000000000000000-4-444200-22-22i22i2−2i2−2i200−i2−i2i2i20000000000000000000000000000000000000000000000000000
χ10588-8-8-4004-444i24i2−4i2−4i200−2i2−2i22i22i20000000000000000-4-444200-22-2−2i2−2i22i22i200i2i2−i2−i20000000000000000000000000000000000000000000000000000
χ1068-88-8-400-44442−4242−4200−2222−22220000000000000000-44-442002-2-2−2222−2222002−22−20000000000000000000000000000000000000000000000000000
χ1078-88-8-400-444−4242−42420022−2222−220000000000000000-44-442002-2-222−2222−2200−22−220000000000000000000000000000000000000000000000000000
χ1088-8-88-4-8844-400004-400000000000000000000-444-424-4-2-220000-2200000000000000000000000000000000000000000000000000000000

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