Finite Group Databasebeta

← Group #11781579

Character table — Group #11781579

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444442424242424242424242424243636363636363636484848484848
order1222334444666666888812121212346668812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242488882424242424242424444488884412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-111-1-1
χ61111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-111
χ71111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111
χ81111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-111-1-1
χ92222222-22-2222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-20000000000
χ102222222-22-2222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2220000000000
χ11222222-22-222222222222-2-2-2-22-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ12222222-22-22222222-2-2-2-2-2-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222200000000000000000000000000
χ13222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i2i−2i−2i000000
χ14222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i000000
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χ1622222-12222222-1-1-122222222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-21111
χ1722222-12222222-1-1-1-2-2-2-22222-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000002-2-1-111
χ1822222-12222222-1-1-1-2-2-2-22222-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000-2211-1-1
χ1922222-1-22-22222-1-1-12222-2-2-2-2-1-2-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000000−i3i3−i3i3
χ2022222-1-22-22222-1-1-12222-2-2-2-2-1-2-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000000i3−i3i3−i3
χ2122222-1-22-22222-1-1-1-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000−i3i3i3−i3
χ2222222-1-22-22222-1-1-1-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000i3−i3−i3i3
χ232222-122222-1-1-12222222-1-1-1-1-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ242222-122222-1-1-12222222-1-1-1-1-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ252222-122222-1-1-1222-2-2-2-2-1-1-1-1-12-1-1-1-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-1-1-1111100000000000000
χ262222-122222-1-1-1222-2-2-2-2-1-1-1-1-12-1-1-1-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2221111-1-1-1-100000000000000
χ272222-12-22-22-1-1-122222221111-1-2-1-1-1-2-2-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000033−3−333−3−300000000000000
χ282222-12-22-22-1-1-122222221111-1-2-1-1-1-2-2-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−3−333−3−33300000000000000
χ292222-12-22-22-1-1-1222-2-2-2-21111-1-2-1-1-122-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000033−3−3−3−33300000000000000
χ302222-12-22-22-1-1-1222-2-2-2-21111-1-2-1-1-122-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−3−33333−3−300000000000000
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χ3322-2-2220-2022-2-2-22-2−2i−2i2i2i0000202-2-200000000000000002-22-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000−i2i2−22−i2i2−i2i2−22−2200000000000000
χ3422-2-2220-2022-2-2-22-2−2i−2i2i2i0000202-2-200000000000000002-22-222-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000i2−i22−2i2−i2i2−i22−22−200000000000000
χ3522-2-2-120-202-111-22-22i2i−2i−2i3−33−3-10-11100003−30033−3−333−3−3-112-2-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i2i22−2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ3622-2-2-120-202-111-22-22i2i−2i−2i3−33−3-10-11100003−30033−3−333−3−3-112-2-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3i2−i2−22−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ3722-2-2-120-202-111-22-22i2i−2i−2i−33−33-10-1110000−3300−3−333−3−333-112-2-1-111−i−iii2i2i−2i−2i−i−i−i−iiiiii3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−i2i22−2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ3822-2-2-120-202-111-22-22i2i−2i−2i−33−33-10-1110000−3300−3−333−3−333-112-2-1-111−i−iii2i2i−2i−2i−i−i−i−iiiiii3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i2−i2−22−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ3922-2-2-120-202-111-22-2−2i−2i2i2i3−33−3-10-11100003−30033−3−333−3−3-112-2-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−ii3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−i2i2−22ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000
χ4022-2-2-120-202-111-22-2−2i−2i2i2i3−33−3-10-11100003−30033−3−333−3−3-112-2-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−ii3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3i2−i22−2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000
χ4122-2-2-120-202-111-22-2−2i−2i2i2i−33−33-10-1110000−3300−3−333−3−333-112-2-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3−i2i2−22ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
χ4222-2-2-120-202-111-22-2−2i−2i2i2i−33−33-10-1110000−3300−3−333−3−333-112-2-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3i2−i22−2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ432-22-22220-20-22-22-2-22−22−222-2-220-22-22−22-200002-22-20000000000002−22−22−22−222−2−222−2−22−22−222−2−222−2−222−2−20000000000002-2002−22−2000000
χ442-22-22220-20-22-22-2-22−22−222-2-220-22-22−22-200002-22-20000000000002−22−22−22−222−2−222−2−22−22−222−2−222−2−222−2−2000000000000-2200−22−22000000
χ452-22-22220-20-22-22-2-2−22−2222-2-220-22-2−222-200002-22-2000000000000−22−22−22−22−2−222−2−222−22−22−2−222−2−222−2−2220000000000002-200−22−22000000
χ462-22-22220-20-22-22-2-2−22−2222-2-220-22-2−222-200002-22-2000000000000−22−22−22−22−2−222−2−222−22−22−2−222−2−222−2−222000000000000-22002−22−2000000
χ472-22-222-2020-22-22-2-22−22−2-2-22220-22-2−22-220000-22-220000000000002−22−22−22−222−2−222−2−2−22−22−2−222−2−222−2−222000000000000002i−2i−i2i2i2−i2000000
χ482-22-222-2020-22-22-2-22−22−2-2-22220-22-2−22-220000-22-220000000000002−22−22−22−222−2−222−2−2−22−22−2−222−2−222−2−22200000000000000−2i2ii2−i2−i2i2000000
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χ502-22-222-2020-22-22-2-2−22−22-2-22220-22-22−2-220000-22-22000000000000−22−22−22−22−2−222−2−2222−22−222−2−222−2−222−2−200000000000000−2i2i−i2i2i2−i2000000
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χ564444-2-24444-2-2-2-2-2-2-4-4-4-4-2-2-2-214111-4-4-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
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χ584444-2-24-44-4-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000
χ594444-2-2-44-44-2-2-2-2-2-2444422221-4111-4-4222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000
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χ7444-4-4-2-20-404-2222-224i4i−4i−4i23−2323−23101-1-1000023−2300−3−333−3−333-22-2211-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i300000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.