Finite Group Databasebeta

← Group #11791406

Character table — Group #11791406

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order122244442233446666661212121212121212366666668888121212121212121266121224242424242424242424242424242424444444441212121212121212121212121212121244442244666612121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-11-1ii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1111-1-1111-1-1-1-111-11−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-111-1-1-11111-1-1-11−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-1-1-111111-1ii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-1-1-111111-1−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-111-1-1-11111-1-1-11ii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1111-1-1111-1-1-1-111-11ii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11111-1-1-1-11-1−i−iii
χ1722222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-1222222-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000020200-1-100-1-1000000
χ1822222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-1222222-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000-20-200110011000000
χ1922222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000222200000000-1-1-1-1-1-1-1-100000-20-200110011000000
χ2022222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-1-1-1-2-211-2-211111111110000-2-2-2-200000000111111110000020200-1-100-1-1000000
χ212222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002020-1-100-1-100000000
χ222222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000-20-2011001100000000
χ232222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-1-111-2-211-2-21111111122220000-1-1-1-1-1-1-1-1000000000000-20-2011001100000000
χ242222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-1-111-2-211-2-211111111-2-2-2-20000111111110000000000002020-1-100-1-100000000
χ2522222222-2-222-2-2222222222222222-2-2222-2-20000-2-2-2-22222-2-2-2-200000000000000000000000000000000000000002222000000000000-2-20000
χ2622222222-2-222-2-2222222222222222-2-2222-2-20000-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000-2-2-2-2000000000000220000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-222-2-2000000000000000000000000000000000000000022-2-2000000000000-220000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000000000-2-2220000000000002-20000
χ292222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-212i2i−2i−2i22-1-1111111-1-12i2i−i−i−2i−2iii−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii0000020-200-1-10011000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-212i2i−2i−2i22-1-1111111-1-12i2i−i−i−2i−2iii−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i00000-202001100-1-1000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-21−2i−2i2i2i22-1-1111111-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii00000-202001100-1-1000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-21−2i−2i2i2i22-1-1111111-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i0000020-200-1-10011000000
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-22i2i−2i−2i-1-122111111-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii00000000000020-20-1-1001100000000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-22i2i−2i−2i-1-122111111-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i000000000000-20201100-1-100000000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2−2i−2i2i2i-1-122111111-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii000000000000-20201100-1-100000000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2−2i−2i2i2i-1-122111111-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i00000000000020-20-1-1001100000000
χ3722-2-222-2-22-2222-2-2-2-2-222-2-2-2-22222222-2-22-2-200002-22-2-2-2222-22-200000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ3822-2-222-2-22-2222-2-2-2-2-222-2-2-2-22222222-2-22-2-200002-22-2-2-2222-22-20000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ3922-2-222-2-2-2222-22-2-2-2-222-2-2-2-222222-2-2-2-22222-22-2-22-22-2-222-22-222-22-22-22-222-2-222-2-20000000000000000000000000000000000000000000000
χ4022-2-222-2-2-2222-22-2-2-2-222-2-2-2-222222-2-2-2-2222-22-22-22-22-2-222-22-22-22-22-22-22-2-222-2-2220000000000000000000000000000000000000000000000
χ4122-2-222-2-2-222-1-22-2-2112-1-2-21122-1-1-1-2111-12-12-22-2-221-111-1-11-11-12-2-112-2-11-1-111-1-1110000000000000000−i3−i3i3i3−i3−i3i3i30000000000−i3i300−i3i3000000
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χ4422-2-222-2-2-222-1-22-2-2112-1-2-21122-1-1-1-2111-12-1-22-22-221-111-1-11-11-1-221-1-221-111-1-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i30000000000−i3i300−i3i3000000
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χ5022-2-2-2-2222-222-22-2-2-2-2222222-2-2-2-2222-2-22-2-2−2i2i2i−2i-22-2222-2-22-2-22−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000
χ5122-2-2-2-2222-22-1-22-2-2112-122-1-1-2-211-12-111-1-212i−2i−2i2i-221-1-1-111-111-12i−2i−ii−2i2ii−i−i−iiiii−i−i000000000000000033−3−3−3−3330000000000−i3i300i3−i3000000
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χ5422-2-2-2-2222-22-1-22-2-2112-122-1-1-2-211-12-111-1-21−2i2i2i−2i-221-1-1-111-111-1−2i2ii−i2i−2i−iiii−i−i−i−iii0000000000000000−3−33333−3−30000000000−i3i300i3−i3000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.