Finite Group Databasebeta

← Group #11863723

Character table — Group #11863723

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222444444444444444444444444444121212121212121212121212242424242424363636361111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order12223344446666661212121223666666666661212121212121212121212121212888824242424242424242466121222442222664444666666121212122666666666666121212121212121212121212121288882424242424242424246612122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1111111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1111111-1-1111111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ6111111-1-1111111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111111111-1-1111111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ7111111-1-1111111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111111111-1-1111111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ8111111-1-1111111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1111111-1-1111111111111-11-1-1-1-111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ922222222-2-2222222-2-2-2-2-22-2-2-2-222-2-2-2-22-2-22222-2-2-2-22222000000000000000000000022222222-2-2222222-2-2-2-2-22-2-2-2-222-2-2-2-22-2-22222-2-2-2-222220000000000000000000000
χ10222222-2-2-2-2222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000222222-2-2-2-2222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
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χ1222222-1222222-12-1-122222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000022222-1222222-12-1-122222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
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χ1422222-122-2-222-12-1-1-2-2-2-2-2-1-2-211-1-11111-11122-1-11111-1-1-1-100000000000000i3−i3i3−i3000022222-122-2-222-12-1-1-2-2-2-2-2-1-2-211-1-11111-11122-1-11111-1-1-1-100000000000000i3−i3i3−i30000
χ1522222-1-2-22222-12-1-12222-2-1-2-211-1-11111-1-1-1-2-211-1-1-1-111110000000000002-2-1-111000022222-1-2-22222-12-1-12222-2-1-2-211-1-11111-1-1-1-2-211-1-1-1-111110000000000002-2-1-1110000
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χ1722222-1-2-2-2-222-12-1-1-2-2-2-22-122-1-1-1-1-1-1-1-1-111-2-2111111111100000000000000−i3i3i3−i3000022222-1-2-2-2-222-12-1-1-2-2-2-22-122-1-1-1-1-1-1-1-1-111-2-2111111111100000000000000−i3i3i3−i30000
χ1822222-1-2-2-2-222-12-1-1-2-2-2-22-122-1-1-1-1-1-1-1-1-111-2-2111111111100000000000000i3−i3−i3i3000022222-1-2-2-2-222-12-1-1-2-2-2-22-122-1-1-1-1-1-1-1-1-111-2-2111111111100000000000000i3−i3−i3i30000
χ192222-122222-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222-122222-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ202222-122222-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-21111111100000000002222-122222-1-12-122-1-1-1-12-1-1-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ212222-1222-2-2-1-12-1221111-2-111-2-2-1-11111-1-2-2-1-1221111-1-1-1-1000033−3−333−3−300000000002222-1222-2-2-1-12-1221111-2-111-2-2-1-11111-1-2-2-1-1221111-1-1-1-1000033−3−333−3−30000000000
χ222222-1222-2-2-1-12-1221111-2-111-2-2-1-11111-1-2-2-1-1221111-1-1-1-10000−3−333−3−33300000000002222-1222-2-2-1-12-1221111-2-111-2-2-1-11111-1-2-2-1-1221111-1-1-1-10000−3−333−3−3330000000000
χ232222-12-2-222-1-12-122-1-1-1-1-2-111-2-2-1-11111-12211-2-2-1-1-1-1111122-2-2-1-1-1-1111100000000002222-12-2-222-1-12-122-1-1-1-1-2-111-2-2-1-11111-12211-2-2-1-1-1-1111122-2-2-1-1-1-111110000000000
χ242222-12-2-222-1-12-122-1-1-1-1-2-111-2-2-1-11111-12211-2-2-1-1-1-11111-2-2221111-1-1-1-100000000002222-12-2-222-1-12-122-1-1-1-1-2-111-2-2-1-11111-12211-2-2-1-1-1-11111-2-2221111-1-1-1-10000000000
χ252222-12-2-2-2-2-1-12-12211112-1-1-122-1-1-1-1-1-1-1-2-211-2-211111111000033−3−3−3−33300000000002222-12-2-2-2-2-1-12-12211112-1-1-122-1-1-1-1-1-1-1-2-211-2-211111111000033−3−3−3−3330000000000
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χ2722-2-2222i−2i002-22-2-2-200000200002-20000-2002i−2i2i−2i00002i2i−2i−2i2−2−i2i22−22−2−i2i2−i2i2000000000022-2-2222i−2i002-22-2-2-200000200002-20000-2002i−2i2i−2i00002i2i−2i−2i2−2−i2i22−22−2−i2i2−i2i20000000000
χ2822-2-2222i−2i002-22-2-2-200000200002-20000-2002i−2i2i−2i00002i2i−2i−2i−22i2−i2−22−22i2−i2i2−i2000000000022-2-2222i−2i002-22-2-2-200000200002-20000-2002i−2i2i−2i00002i2i−2i−2i−22i2−i2−22−22i2−i2i2−i20000000000
χ2922-2-222−2i2i002-22-2-2-200000200002-20000-200−2i2i−2i2i0000−2i−2i2i2i2−2i2−i22−22−2i2−i2i2−i2000000000022-2-222−2i2i002-22-2-2-200000200002-20000-200−2i2i−2i2i0000−2i−2i2i2i2−2i2−i22−22−2i2−i2i2−i20000000000
χ3022-2-222−2i2i002-22-2-2-200000200002-20000-200−2i2i−2i2i0000−2i−2i2i2i−22−i2i2−22−22−i2i2−i2i2000000000022-2-222−2i2i002-22-2-2-200000200002-20000-200−2i2i−2i2i0000−2i−2i2i2i−22−i2i2−22−22−i2i2−i2i20000000000
χ3122-2-2-122i−2i00-1121-2-233−3−30-1−i3i300-11−i3−i3i3i3100−ii2i−2i33−3−3−i−iii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000022-2-2-122i−2i00-1121-2-233−3−30-1−i3i300-11−i3−i3i3i3100−ii2i−2i33−3−3−i−iii2−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ3222-2-2-122i−2i00-1121-2-233−3−30-1−i3i300-11−i3−i3i3i3100−ii2i−2i33−3−3−i−iii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000022-2-2-122i−2i00-1121-2-233−3−30-1−i3i300-11−i3−i3i3i3100−ii2i−2i33−3−3−i−iii−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ3322-2-2-122i−2i00-1121-2-2−3−3330-1i3−i300-11i3i3−i3−i3100−ii2i−2i−3−333−i−iii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000022-2-2-122i−2i00-1121-2-2−3−3330-1i3−i300-11i3i3−i3−i3100−ii2i−2i−3−333−i−iii2−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ3422-2-2-122i−2i00-1121-2-2−3−3330-1i3−i300-11i3i3−i3−i3100−ii2i−2i−3−333−i−iii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000022-2-2-122i−2i00-1121-2-2−3−3330-1i3−i300-11i3i3−i3−i3100−ii2i−2i−3−333−i−iii−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
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χ12144-4-4-2-2−4i4i00-22-2222−23−23232301−2i32i3001-1i3i3−i3−i3-1002i−2i2i−2i33−3−3−i−iii0000000000000000000000-4-444224i−4i002-22-2-2-22323−23−230-12i3−2i300-11−i3−i3i3i3100−2i2i−2i2i−3−333ii−i−i0000000000000000000000
χ1224-44-4440000-44-4-4-440000040000-440000-4000000000000000000000000000000000000-44-44-4-400004-4444-400000-400004-400004000000000000000000000000000000000000
χ1234-44-44-20000-442-42-200000-200−2i32i32-2−2i32i3−2i32i32000000000000000000000000000000000000-44-44-4200004-4-24-22000002002i3−2i3-222i3−2i32i3−2i3-2000000000000000000000000000000000000
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χ1264-44-4-2400002-2-42-44−232323−230-200002-200002000000−232323−2300000000000000000000000000-44-442-40000-224-24-423−23−2323020000-220000-200000023−23−232300000000000000000000000000
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χ1294-44-4-2-200002-2222-2−232323−230100−2i32i3-11i3−i3i3−i3-10000003−3−33−3i3i−3i3i0000000000000000000000-44-44220000-22-2-2-2223−23−23230-1002i3−2i31-1−i3i3−i3i31000000−333−33i−3i3i−3i0000000000000000000000
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χ1314-4-444-2004-4-4-424-224-44-40-20000220000-2-220000-22-2200000000000000000000000000-444-4-4200-4444-2-42-2-44-44020000-2-2000022-200002-22-200000000000000000000000000
χ1324-4-444-200-44-4-424-22-44-440-20000220000-22-200002-22-200000000000000000000000000-444-4-42004-444-2-42-24-44-4020000-2-200002-220000-22-2200000000000000000000000000
χ1334-4-44-24004-422-4-24-4-22-220-20000220000-24-40000-22-2200000000000000000000000000-444-42-400-44-2-242-442-22-2020000-2-200002-4400002-22-200000000000000000000000000
χ1344-4-44-2400-4422-4-24-42-22-20-20000220000-2-4400002-22-200000000000000000000000000-444-42-4004-4-2-242-44-22-22020000-2-2000024-40000-22-2200000000000000000000000000
χ1354-4-44-2-2004-4222-2-22-22-22010000-1-13-3-331-2200001-11-1-333-30000000000000000000000-444-42200-44-2-2-222-22-22-20-1000011-333-3-12-20000-11-113-3-330000000000000000000000
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χ1374-4-44-2-200-44222-2-222-22-2010000-1-13-3-3312-20000-11-113-3-330000000000000000000000-444-422004-4-2-2-222-2-22-220-1000011-333-3-1-2200001-11-1-333-30000000000000000000000
χ1384-4-44-2-200-44222-2-222-22-2010000-1-1-333-312-20000-11-11-333-30000000000000000000000-444-422004-4-2-2-222-2-22-220-10000113-3-33-1-2200001-11-13-3-330000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.