Finite Group Databasebeta

← Group #11869402

Character table — Group #11869402

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444444121212121818242424242424242424243636361111222222222244444444444444444444444444444412121212181824242424242424242424363636
order1222334466666636668812121212121212122424242424242424242424242424242444442244121212121212121248822226644666666666688121212121212121224242424242424242424242424242424444422441212121212121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11-11111-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-11-1-1-1-11111-1-1-111111111111111111111111111111111111111111111-1-111-1-1-11-1-1-1-11111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1-1
χ6111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-111-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-111-111
χ7111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-11111-1-1-111
χ8111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-1
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χ10222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200222222-2-2222222222200-2-2-2-2-2-2-2-200000000000000000000-2-20000000000200
χ1122222-1222-12-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000020-1-1-1-1000000022222-1222-12-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000020-1-1-1-10000000
χ1222222-1222-12-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-201111000000022222-1222-12-1-12-1-1-1-122-12-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2011110000000
χ1322222-1222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111220000-20-1-111000000022222-1222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111220000-20-1-1110000000
χ1422222-1222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111-2-200002011-1-1000000022222-1222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-1-2-2-2-2111111111111-2-200002011-1-10000000
χ152222-1222-12-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200020000-1-1-1-10002222-1222-12-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200020000-1-1-1-1000
χ162222-1222-12-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-2000011110002222-1222-12-122-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-200001111000
χ172222-1222-12-122-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-2111111110022000-20000-1-1110002222-1222-12-122-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-2111111110022000-20000-1-111000
χ182222-1222-12-122-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-21111111100-2-20002000011-1-10002222-1222-12-122-1-1-1-1-1-2-22-1-1-12-1-1-11111-2-2-2-21111111100-2-20002000011-1-1000
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χ202-22-22200-2-222-2-222-2-2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000-2200000000000i2−i22-22-22200-2-222-2-222-2-2−i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000-2200000000000i2−i2
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χ232-2-22222-2-22-2-2-222-2-2200-2-2-2-2222200000000000000002i−2i0000002i−2i0000000002-2-22222-2-22-2-2-222-2-2200-2-2-2-2222200000000000000002i−2i0000002i−2i000000000
χ242-2-22222-2-22-2-2-222-2-2200-2-2-2-222220000000000000000−2i2i000000−2i2i0000000002-2-22222-2-22-2-2-222-2-2200-2-2-2-222220000000000000000−2i2i000000−2i2i000000000
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χ332-2-22-12-22121-2-2-1-111-1002-1-1-1-2111−33−330000−33−33−33−33002i−2i00000000−iii3−i30002-2-22-12-22121-2-2-1-111-1002-1-1-1-2111−33−330000−33−33−33−33002i−2i00000000−iii3−i3000
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χ1204-44-4-2-20022-2-22211-1-12i2−2i200−3i3i003i−3i−i2−i2i2i2−i2−i2i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000-44-442200-2-222-2-2-1-111−2i22i2003i−3i00−3i3ii2i2−i2−i2i2i2−i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000
χ1214-4-444-2-44-4-2-4224-222-200-24-2-22-42200000000000000000000000000000000000-444-4-424-4424-2-2-42-2-22002-422-24-2-200000000000000000000000000000000000
χ1224-4-44-244-4242-4-4-2-222-200-42224-2-2-200000000000000000000000000000000000-444-42-4-44-2-4-24422-2-22004-2-2-2-422200000000000000000000000000000000000
χ1234-4-44-2-24-42-2222-21-1-110022-1-1-2-2110000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000-444-422-44-22-2-2-22-111-100-2-21122-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000
χ1244-4-44-2-24-42-2222-21-1-110022-1-1-2-21100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000-444-422-44-22-2-2-22-111-100-2-21122-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000
χ1254-4-44-2-2-442-2222-21-1-1100-2-21122-1-123−2323−230000−33−33−33−330000000000000000000-444-4224-4-22-2-2-22-111-10022-1-1-2-211−2323−232300003−33−33−33−30000000000000000000
χ1264-4-44-2-2-442-2222-21-1-1100-2-21122-1-1−2323−232300003−33−33−33−30000000000000000000-444-4224-4-22-2-2-22-111-10022-1-1-2-21123−2323−230000−33−33−33−330000000000000000000

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