Finite Group Databasebeta

← Group #11873377

Character table — Group #11873377

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222244444466666666888888242422224444444444888888121212121212121216161616161648483333666666666612121212121218181818181818182424242424247272
order1222344444466612121212121288888888441212121222366631212121212126661212121212122424242424242424121212121212662222644444466612121212121288888888441212121222
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
χ511111-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-1
χ611111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-11
χ711111-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-11
χ811111-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1111-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1111-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1111-1
χ92222222-2-2-2-2222-2-222-2-200000000000000002222222-2-2-2-2222-2-222-2-200000000000000002222222-2-2-2-2222-2-222-2-20000000000000000
χ1022222-2-222-2-2222-2-2-2-222000000000000000022222-2-222-2-2222-2-2-2-222000000000000000022222-2-222-2-2222-2-2-2-2220000000000000000
χ112222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100
χ122222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-2111100
χ132222-122-2-2-2-2-1-1-111-1-1110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-111-1-1110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-111-1-1110000000000−i3i3−i3i300
χ142222-122-2-2-2-2-1-1-111-1-1110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-111-1-1110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-111-1-1110000000000i3−i3i3−i300
χ152222-1-2-222-2-2-1-1-11111-1-10000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-11111-1-10000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-11111-1-10000000000−i3i3i3−i300
χ162222-1-2-222-2-2-1-1-11111-1-10000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-11111-1-10000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-11111-1-10000000000i3−i3−i3i300
χ172222-1-2-2-2-222-1-1-1-1-11111000000002-2-1-111002222-1-2-2-2-222-1-1-1-1-11111000000002-2-1-111002222-1-2-2-2-222-1-1-1-1-11111000000002-2-1-11100
χ182222-1-2-2-2-222-1-1-1-1-1111100000000-2211-1-1002222-1-2-2-2-222-1-1-1-1-1111100000000-2211-1-1002222-1-2-2-2-222-1-1-1-1-1111100000000-2211-1-100
χ1922-2-2200002-22-2-22-2000000002i2i−2i−2i0000000022-2-2200002-22-2-22-2000000002i2i−2i−2i0000000022-2-2200002-22-2-22-2000000002i2i−2i−2i00000000
χ2022-2-2200002-22-2-22-200000000−2i−2i2i2i0000000022-2-2200002-22-2-22-200000000−2i−2i2i2i0000000022-2-2200002-22-2-22-200000000−2i−2i2i2i00000000
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χ2222-2-220000-222-2-2-220000−2i−2i2i2i00000000000022-2-220000-222-2-2-220000−2i−2i2i2i00000000000022-2-220000-222-2-2-220000−2i−2i2i2i000000000000
χ232-22-222-20000-22-2002-200−i2i2−i2i2−i2i2−i2i2000000002-22-222-20000-22-2002-200−i2i2−i2i2−i2i2−i2i2000000002-22-222-20000-22-2002-200−i2i2−i2i2−i2i2−i2i200000000
χ242-22-222-20000-22-2002-200i2−i2i2−i2i2−i2i2−i2000000002-22-222-20000-22-2002-200i2−i2i2−i2i2−i2i2−i2000000002-22-222-20000-22-2002-200i2−i2i2−i2i2−i2i2−i200000000
χ252-22-22-220000-22-200-2200−i2i2−i2i2i2−i2i2−i2000000002-22-22-220000-22-200-2200−i2i2−i2i2i2−i2i2−i2000000002-22-22-220000-22-200-2200−i2i2−i2i2i2−i2i2−i200000000
χ262-22-22-220000-22-200-2200i2−i2i2−i2−i2i2−i2i2000000002-22-22-220000-22-200-2200i2−i2i2−i2−i2i2−i2i2000000002-22-22-220000-22-200-2200i2−i2i2−i2−i2i2−i2i200000000
χ272-2-222002-200-2-2200002-22−2−222−2−22000000002-2-222002-200-2-2200002-22−2−222−2−22000000002-2-222002-200-2-2200002-22−2−222−2−2200000000
χ282-2-222002-200-2-2200002-2−222−2−222−2000000002-2-222002-200-2-2200002-2−222−2−222−2000000002-2-222002-200-2-2200002-2−222−2−222−200000000
χ292-2-22200-2200-2-220000-222−2−22−222−2000000002-2-22200-2200-2-220000-222−2−22−222−2000000002-2-22200-2200-2-220000-222−2−22−222−200000000
χ302-2-22200-2200-2-220000-22−222−22−2−22000000002-2-22200-2200-2-220000-22−222−22−2−22000000002-2-22200-2200-2-220000-22−222−22−2−2200000000
χ3144-4-4-200004-4-222-220000000000000000000044-4-4-200004-4-222-220000000000000000000044-4-4-200004-4-222-2200000000000000000000
χ3244-4-4-20000-44-2222-20000000000000000000044-4-4-20000-44-2222-20000000000000000000044-4-4-20000-44-2222-200000000000000000000
χ334-44-4-24-400002-2200-220000000000000000004-44-4-24-400002-2200-220000000000000000004-44-4-24-400002-2200-22000000000000000000
χ344-44-4-2-4400002-22002-20000000000000000004-44-4-2-4400002-22002-20000000000000000004-44-4-2-4400002-22002-2000000000000000000
χ354-4-44-2004-40022-20000-2200000000000000004-4-44-2004-40022-20000-2200000000000000004-4-44-2004-40022-20000-220000000000000000
χ364-4-44-200-440022-200002-200000000000000004-4-44-200-440022-200002-200000000000000004-4-44-200-440022-200002-20000000000000000
χ37111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ4111111-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-11
χ4211111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11-1
χ4311111-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-111111-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1111-1
χ4411111-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1111-111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-11-111-1-1-11
χ452222222-2-2-2-2222-2-222-2-200000000000000002222222-2-2-2-2222-2-222-2-20000000000000000-2-2-2-2-2-2-22222-2-2-222-2-2220000000000000000
χ4622222-2-222-2-2222-2-2-2-222000000000000000022222-2-222-2-2222-2-2-2-2220000000000000000-2-2-2-2-222-2-222-2-2-22222-2-20000000000000000
χ472222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-1002222-1222222-1-1-1-1-1-1-1-1-10000000022-1-1-1-100-2-2-2-21-2-2-2-2-2-211111111100000000-2-2111100
χ482222-1222222-1-1-1-1-1-1-1-1-100000000-2-21111002222-1222222-1-1-1-1-1-1-1-1-100000000-2-2111100-2-2-2-21-2-2-2-2-2-21111111110000000022-1-1-1-100
χ492222-122-2-2-2-2-1-1-111-1-1110000000000−i3i3−i3i3002222-122-2-2-2-2-1-1-111-1-1110000000000−i3i3−i3i300-2-2-2-21-2-22222111-1-111-1-10000000000i3−i3i3−i300
χ502222-122-2-2-2-2-1-1-111-1-1110000000000i3−i3i3−i3002222-122-2-2-2-2-1-1-111-1-1110000000000i3−i3i3−i300-2-2-2-21-2-22222111-1-111-1-10000000000−i3i3−i3i300
χ512222-1-2-222-2-2-1-1-11111-1-10000000000−i3i3i3−i3002222-1-2-222-2-2-1-1-11111-1-10000000000−i3i3i3−i300-2-2-2-2122-2-222111-1-1-1-1110000000000i3−i3−i3i300
χ522222-1-2-222-2-2-1-1-11111-1-10000000000i3−i3−i3i3002222-1-2-222-2-2-1-1-11111-1-10000000000i3−i3−i3i300-2-2-2-2122-2-222111-1-1-1-1110000000000−i3i3i3−i300
χ532222-1-2-2-2-222-1-1-1-1-11111000000002-2-1-111002222-1-2-2-2-222-1-1-1-1-11111000000002-2-1-11100-2-2-2-212222-2-211111-1-1-1-100000000-2211-1-100
χ542222-1-2-2-2-222-1-1-1-1-1111100000000-2211-1-1002222-1-2-2-2-222-1-1-1-1-1111100000000-2211-1-100-2-2-2-212222-2-211111-1-1-1-1000000002-2-1-11100
χ5522-2-2200002-22-2-22-2000000002i2i−2i−2i0000000022-2-2200002-22-2-22-2000000002i2i−2i−2i00000000-2-222-20000-22-222-2200000000−2i−2i2i2i00000000
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χ632-2-222002-200-2-2200002-22−2−222−2−22000000002-2-222002-200-2-2200002-22−2−222−2−2200000000-222-2-200-220022-20000-22−222−2−222−200000000
χ642-2-222002-200-2-2200002-2−222−2−222−2000000002-2-222002-200-2-2200002-2−222−2−222−200000000-222-2-200-220022-20000-222−2−222−2−2200000000
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χ662-2-22200-2200-2-220000-22−222−22−2−22000000002-2-22200-2200-2-220000-22−222−22−2−2200000000-222-2-2002-20022-200002-22−2−22−222−200000000
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χ894444-2-4-4-4-444-2-2-2-2-22222000000004-4-2-22200-2-2-2-212222-2-211111-1-1-1-100000000-2211-1-100000000000000000000000000000000000000
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χ9244-4-4400004-44-4-44-400000000−4i−4i4i4i00000000-2-222-20000-22-222-22000000002i2i−2i−2i00000000000000000000000000000000000000000000
χ9344-4-440000-444-4-4-4400004i4i−4i−4i000000000000-2-222-200002-2-2222-20000−2i−2i2i2i000000000000000000000000000000000000000000000000
χ9444-4-440000-444-4-4-440000−4i−4i4i4i000000000000-2-222-200002-2-2222-200002i2i−2i−2i000000000000000000000000000000000000000000000000
χ954-44-444-40000-44-4004-400−2i22i2−2i22i2−2i22i2−2i22i200000000-22-22-2-2200002-2200-2200i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000000000
χ964-44-444-40000-44-4004-4002i2−2i22i2−2i22i2−2i22i2−2i200000000-22-22-2-2200002-2200-2200−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000000000
χ974-44-44-440000-44-400-4400−2i22i2−2i22i22i2−2i22i2−2i200000000-22-22-22-200002-22002-200i2−i2i2−i2−i2i2−i2i200000000000000000000000000000000000000000000
χ984-44-44-440000-44-400-44002i2−2i22i2−2i2−2i22i2−2i22i200000000-22-22-22-200002-22002-200−i2i2−i2i2i2−i2i2−i200000000000000000000000000000000000000000000
χ994-4-444004-400-4-4400004-422−22−222222−22−222200000000-222-2-200-220022-20000-22−222−2−222−200000000000000000000000000000000000000000000
χ1004-4-444004-400-4-4400004-4−222222−22−222222−2200000000-222-2-200-220022-20000-222−2−222−2−2200000000000000000000000000000000000000000000
χ1014-4-44400-4400-4-440000-4422−22−2222−222222−2200000000-222-2-2002-20022-200002-2−222−22−2−2200000000000000000000000000000000000000000000
χ1024-4-44400-4400-4-440000-44−222222−2222−22−222200000000-222-2-2002-20022-200002-22−2−22−222−200000000000000000000000000000000000000000000
χ10388-8-8-400008-8-444-4400000000000000000000-4-44420000-442-2-22-200000000000000000000000000000000000000000000000000000000
χ10488-8-8-40000-88-4444-400000000000000000000-4-444200004-42-2-2-2200000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-800004-4400-44000000000000000000-44-442-440000-22-2002-2000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-8800004-44004-4000000000000000000-44-4424-40000-22-200-22000000000000000000000000000000000000000000000000000000
χ1078-8-88-4008-80044-40000-440000000000000000-444-4200-4400-2-2200002-20000000000000000000000000000000000000000000000000000
χ1088-8-88-400-880044-400004-40000000000000000-444-42004-400-2-220000-220000000000000000000000000000000000000000000000000000

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