Finite Group Databasebeta

← Group #11791041

Character table — Group #11791041

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order12222222334444666666666666668888888836666666121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444448888888822224444666666661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111-11-1-1-1111-11-111-1-1-111-1-1-1-111-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ10111-11-1-1-1111-11-111-1-1-111-1-1-1-111-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ11111-11-1-1-1111-11-111-1-1-111-1-1-1-111-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ12111-11-1-1-1111-11-111-1-1-111-1-1-1-111-11111-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ13111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ14111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ15111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ16111-11-1-1-1111-11-111-1-1-111-1-1-1-111-1-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ172222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-222-2-200000000000000000000000000000000
χ182222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-2-22200000000000000000000000000000000
χ19222222222-1222222222-1-1-1-1-1-12-1222222222-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000
χ20222222222-1222222222-1-1-1-1-1-12-1222222222-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200001111111100000000
χ21222222222-1222222222-1-1-1-1-1-12-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000022-2-20000-1-1-1-1111100000000
χ22222222222-1222222222-1-1-1-1-1-12-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000-2-22200001111-1-1-1-100000000
χ2322222222-122222-1-1-1-1-1222222-12-122222222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000222200000000-1-1-1-1-1-1-1-1
χ2422222222-122222-1-1-1-1-1222222-12-122222222-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000000011111111
χ2522222222-122222-1-1-1-1-1222222-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000000022-2-200000000-1-1-1-11111
χ2622222222-122222-1-1-1-1-1222222-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000000000-2-222000000001111-1-1-1-1
χ27222-22-2-2-222-22-2222-2-2-222-2-2-2-222-200000000222-2-2-2-22-2-22222-2-22222-2-2-2-2000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ28222-22-2-2-222-22-2222-2-2-222-2-2-2-222-200000000222-2-2-2-22-2-22222-2-22222-2-2-2-200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ29222-22-2-2-22-12-22-222-2-2-2-1-111112-1-22222-2-2-2-2-1-1-11111-12-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000002-22-20000-1-111-1-11100000000
χ30222-22-2-2-22-12-22-222-2-2-2-1-111112-1-22222-2-2-2-2-1-1-11111-12-1-2-211-1-111112-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000-22-22000011-1-111-1-100000000
χ31222-22-2-2-22-12-22-222-2-2-2-1-111112-1-2-2-2-2-22222-1-1-11111-12-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002-2-220000-1-11111-1-100000000
χ32222-22-2-2-22-12-22-222-2-2-2-1-111112-1-2-2-2-2-22222-1-1-11111-12-1-2-211-1-111112-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-222-2000011-1-1-1-11100000000
χ33222-22-2-2-2-122-22-2-1-111122-2-2-2-2-1212222-2-2-2-2-1-1-11111-1-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ34222-22-2-2-2-122-22-2-1-111122-2-2-2-2-1212222-2-2-2-2-1-1-11111-1-1211-2-2-1-11111-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ35222-22-2-2-2-122-22-2-1-111122-2-2-2-2-121-2-2-2-22222-1-1-11111-1-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ36222-22-2-2-2-122-22-2-1-111122-2-2-2-2-121-2-2-2-22222-1-1-11111-1-1211-2-2-1-11111-12-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ3722-22-22-2-22200002-222-22-222-2-2-2-2-222−2−222−2−222-222-2-2-2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2002i−2i002i−2i−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ3822-22-22-2-22200002-222-22-222-2-2-2-2-222−2−222−2−222-222-2-2-2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−200−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2000000000000000000000000
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χ4322-2-2-2-2222200002-2-2-222-2-2-222-2-22−2−22222−2−222-2-2-222-20000000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2002-200-2222−2−2−2−222000000000000000000000000
χ4422-2-2-2-2222200002-2-2-222-2-2-222-2-22−2−22222−2−222-2-2-222-20000000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−200-22002-2−2−22222−2−2000000000000000000000000
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χ482-222-2-22-2220000-222-22-222-22-2-2-2-2−22−22−22−222-222-22-2-20000000000000000−22−22−22−22−2−222−2−222−22−22−22−22−2−222−2−222−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i2000000000000000000000000
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χ522-22-2-22-22220000-22-22-2-22-22-22-2-22−22−222−22−22-22-22-22-20000000000000000−22−22−22−22−2−222−2−2222−22−22−22−222−2−222−2−2-22002-200−22−222−22−2000000000000000000000000
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χ632-2-222-2-22-12-222-211-111-2-22-2-22-12-1-222-2-222-2-111-111-1-11-21-1-221111-1-1-12-1-11-1-11-222-211-1-1-1-1111-1-11-222-211-1-1-1-11100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i3
χ642-2-222-2-22-12-222-211-111-2-22-2-22-12-1-222-2-222-2-111-111-1-11-21-1-221111-1-1-12-1-11-1-11-222-211-1-1-1-1111-1-11-222-211-1-1-1-11100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i3
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χ672-2-2-2222-222-2-222-2-2-222-2-2-222-222-22-2-22-222-22-2-2-222-22-2-22-22-2-2-222-2-222222-2-222-2-2222-2-2-2-222-222-2-222-2-2-22222-2-20000000000000000000000000000000000000000
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χ1204-44-4-44-44-2-200002-22-222-22-22-222-2−2222−222222−2222−221-11-11-11-1000000−3i3i3i−3i−3i3i003i−3i2−22−22−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23−22−22−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000000000000000000000000000000
χ1214-4-444-4-444-24-4-44-4-44-4-422-222-24-2400000000-222-222-2-24-24-4-22-2-2-2-222-4222000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-444-4-44-244-4-4422-222-4-44-4-44-24-200000000-222-222-2-2-24-224-4-2-2-2-2222-422000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-444-4-44-2-24-4-4422-22222-222-2-2-2-2000000001-1-11-1-111-2-2-22-221111-1-122-1-1000000003i−3i−3i3i−3i3i3i−3i000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1244-4-444-4-44-2-24-4-4422-22222-222-2-2-2-2000000001-1-11-1-111-2-2-22-221111-1-122-1-100000000−3i3i3i−3i3i−3i−3i3i00000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1254-4-444-4-44-2-2-444-422-22222-222-2-2-2-24-4-444-4-441-1-11-1-111222-22-2-1-1-1-111-2-211-222-2-222-211-1-1-1-111-222-2-222-211-1-1-1-1110000000000000000000000000000000000000000
χ1264-4-444-4-44-2-2-444-422-22222-222-2-2-2-2-444-4-444-41-1-11-1-111222-22-2-1-1-1-111-2-2112-2-222-2-22-1-11111-1-12-2-222-2-22-1-11111-1-10000000000000000000000000000000000000000
χ1274-4-4-4444-44-244-4-4-4-4-444222-2-224-2-400000000-2222-2-22-24-2-442-2-2-222-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-4-4444-4-2444-4-4222-2-2-4-4-444-4-24200000000-2222-2-22-2-242-2-44-2-222-2-22-422000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4-4444-4-2-244-4-4222-2-2222-2-22-2-22000000001-1-1-111-11-2-22-22-211-1-11122-1-1000000003i−3i−3i3i−3i3i3i−3i00000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1304-4-4-4444-4-2-244-4-4222-2-2222-2-22-2-22000000001-1-1-111-11-2-22-22-211-1-11122-1-100000000−3i3i3i−3i3i−3i−3i3i000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1314-4-4-4444-4-2-2-4-444222-2-2222-2-22-2-224-4-44-444-41-1-1-111-1122-22-22-1-111-1-1-2-211-222-2-222-211-1-1-1-1112-2-222-2-22-1-11111-1-10000000000000000000000000000000000000000
χ1324-4-4-4444-4-2-2-4-444222-2-2222-2-22-2-22-444-44-4-441-1-1-111-1122-22-22-1-111-1-1-2-2112-2-222-2-22-1-11111-1-1-222-2-222-211-1-1-1-1110000000000000000000000000000000000000000

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