Finite Group Databasebeta

← Group #11785324

Character table — Group #11785324

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order12224444223344666666121212121212121222344666666612121212121212126666666666121212121212121212124444444412121212121212121212121212121212444488882424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ51111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-111-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-11-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-11-1-111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-111-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii1-1-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-1111-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-1111-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i1-1-1-111
χ1722222222222-12222-1-12-122-1-122-1-122-1222-1-1-1-12-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000220000-1-1-1-1000000
χ1822222222222-12222-1-12-122-1-122-1-122-1222-1-1-1-12-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000000-2-200001111000000
χ1922222222222-12222-1-12-122-1-122-1-1-2-2-1-2-22-1-1-1-12-122-1-1-1-1-1-1-2-211-1-11111-2-211-1-111110000222200000000-1-1-1-1-1-1-1-1000000-2-200001111000000
χ2022222222222-12222-1-12-122-1-122-1-1-2-2-1-2-22-1-1-1-12-122-1-1-1-1-1-1-2-211-1-11111-2-211-1-111110000-2-2-2-20000000011111111000000220000-1-1-1-1000000
χ212222222222-1222-1-122-12-1-122-1-12222-122-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000002200-1-1-1-10000000000
χ222222222222-1222-1-122-12-1-122-1-12222-122-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2000011111111000000000000-2-20011110000000000
χ232222222222-1222-1-122-12-1-122-1-122-2-2-1-2-2-12-1-1-1-12-1-122-1-1-1-111-2-2-1-1111111-2-2-1-1111122220000-1-1-1-1-1-1-1-1000000000000-2-20011110000000000
χ242222222222-1222-1-122-12-1-122-1-122-2-2-1-2-2-12-1-1-1-12-1-122-1-1-1-111-2-2-1-1111111-2-2-1-11111-2-2-2-20000111111110000000000002200-1-1-1-10000000000
χ2522222222-2-222-2-22222222222222200200-2-2222-2-2-2-2-2-222220000-2-200000000-2-200000000000000000000000000002222000000000000-2-20000
χ2622222222-2-222-2-22222222222222200200-2-2222-2-2-2-2-2-222220000-2-200000000-2-20000000000000000000000000000-2-2-2-2000000000000220000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-200002200000000-2-2000000000000000000000000000022-2-2000000000000-220000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000-2-2220000000000002-20000
χ292222-2-2-2-2-2-22-12222-1-12-1-2-211-2-21122-1-2-2-21-1-1-1-2122-1-1111122-1-111-1-1-1-1-2-211-1-1111100002i2i−2i−2i00000000−i−i−i−iiiii0000002i−2i0000−i−iii000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-211-2-21122-1-2-2-21-1-1-1-2122-1-1111122-1-111-1-1-1-1-2-211-1-111110000−2i−2i2i2i00000000iiii−i−i−i−i000000−2i2i0000ii−i−i000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-2-2-122-21-1-1-1-2122-1-11111-2-21111111122-1-1-1-1-1-1-1-100002i2i−2i−2i00000000−i−i−i−iiiii000000−2i2i0000ii−i−i000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-2-2-122-21-1-1-1-2122-1-11111-2-21111111122-1-1-1-1-1-1-1-10000−2i−2i2i2i00000000iiii−i−i−i−i0000002i−2i0000−i−iii000000
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-222-1-2-21-2-1-1-11-2-1-1221111-1-12211-1-1-1-111-2-2-1-111112i2i−2i−2i0000−i−i−i−iiiii0000000000002i−2i00−i−iii0000000000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-222-1-2-21-2-1-1-11-2-1-1221111-1-12211-1-1-1-111-2-2-1-11111−2i−2i2i2i0000iiii−i−i−i−i000000000000−2i2i00ii−i−i0000000000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-2-2-1221-2-1-1-11-2-1-122111111-2-2111111-1-122-1-1-1-1-1-12i2i−2i−2i0000−i−i−i−iiiii000000000000−2i2i00ii−i−i0000000000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-2-2-1221-2-1-1-11-2-1-122111111-2-2111111-1-122-1-1-1-1-1-1−2i−2i2i2i0000iiii−i−i−i−i0000000000002i−2i00−i−iii0000000000
χ3722-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-22-222-222-2-22-2-22-22-222-2-22-22-22-222-2-22-22-22-222-2-20000000000000000000000000000000000000000000000
χ3822-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-2-222-2222-2-22-2-22-22-222-2-2-22-222-2-2-222-22-222-2-2-2220000000000000000000000000000000000000000000000
χ3922-2-222-2-22-22-12-2-2-2112-122-1-1-2-2112-2-12-22-111-1-212-2-11-1-1112-2-11-11-1-1112-2-11-11-1-111000000000000000033−3−333−3−30000000000003−33−3000000
χ4022-2-222-2-22-22-12-2-2-2112-122-1-1-2-2112-2-12-22-111-1-212-2-11-1-1112-2-11-11-1-1112-2-11-11-1-1110000000000000000−3−333−3−333000000000000−33−33000000
χ4122-2-222-2-22-22-12-2-2-2112-122-1-1-2-211-22-1-222-111-1-212-2-11-1-111-221-1-1111-1-1-221-1-1111-1-1000000000000000033−3−333−3−3000000000000−33−33000000
χ4222-2-222-2-22-22-12-2-2-2112-122-1-1-2-211-22-1-222-111-1-212-2-11-1-111-221-1-1111-1-1-221-1-1111-1-10000000000000000−3−333−3−3330000000000003−33−3000000
χ4322-2-222-2-22-2-122-211-2-2-12-1-12211-2-22-2-12-2-1211-11-2-112-2-1-111-112-2-11-1-111-112-2-11-1-1110000000033−3−333−3−300000000000000003−33−30000000000
χ4422-2-222-2-22-2-122-211-2-2-12-1-12211-2-22-2-12-2-1211-11-2-112-2-1-111-112-2-11-1-111-112-2-11-1-11100000000−3−333−3−3330000000000000000−33−330000000000
χ4522-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-22-1-22-1211-11-2-112-2-1-1111-1-22-1111-1-11-1-22-1111-1-10000000033−3−333−3−30000000000000000−33−330000000000
χ4622-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-22-1-22-1211-11-2-112-2-1-1111-1-22-1111-1-11-1-22-1111-1-100000000−3−333−3−33300000000000000003−33−30000000000
χ4722-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-200200-2-2-2-2222-22-2222-2-20000-2200000000-2200000000000000000000000000000000000000000000002i−2i2i−2i
χ4822-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-200200-2-2-2-2222-22-2222-2-20000-2200000000-220000000000000000000000000000000000000000000000−2i2i−2i2i
χ4922-2-2-2-2222-222-22-2-2-2-222-2-2-2-222220020022-2-22-2-2-22-22-2-22200002-200000000-2200000000000000000000000000000000000000000000002i−2i−2i2i
χ5022-2-2-2-2222-222-22-2-2-2-222-2-2-2-222220020022-2-22-2-2-22-22-2-22200002-200000000-220000000000000000000000000000000000000000000000−2i2i2i−2i
χ5122-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-22-2-2-2-22222-22-2-2-2222-22-2-2222-2-2-22-222-2-2-2220000000000000000000000000000000000000000000000
χ5222-2-2-2-222-22222-2-2-2-2-222-2-2-2-22222-2222-2-2-2-2-22222-22-2-2-222-22-22-22-2-2222-22-22-222-2-20000000000000000000000000000000000000000000000
χ5322-2-2-2-222-222-12-2-2-2112-1-2-21122-1-12-2-1-22-2111-12-12-2-1111-1-12-2-111-1-1-111-221-1-1111-1-10000000000000000−i3−i3i3i3i3i3−i3−i3000000000000−i3i3i3−i3000000
χ5422-2-2-2-222-222-12-2-2-2112-1-2-21122-1-12-2-1-22-2111-12-12-2-1111-1-12-2-111-1-1-111-221-1-1111-1-10000000000000000i3i3−i3−i3−i3−i3i3i3000000000000i3−i3−i3i3000000
χ5522-2-2-2-222-222-12-2-2-2112-1-2-21122-1-1-22-12-2-2111-12-12-2-1111-1-1-221-11-111-1-12-2-11-11-1-1110000000000000000−i3−i3i3i3i3i3−i3−i3000000000000i3−i3−i3i3000000
χ5622-2-2-2-222-222-12-2-2-2112-1-2-21122-1-1-22-12-2-2111-12-12-2-1111-1-1-221-11-111-1-12-2-11-11-1-1110000000000000000i3i3−i3−i3−i3−i3i3i3000000000000−i3i3i3−i3000000
χ5722-2-2-2-222-22-122-211-2-2-1211-2-2-1-1222-2-1-221-211-1-12-112-211-1-1-112-21-1-1-1111-1-22-1111-1-100000000−i3−i3i3i3i3i3−i3−i30000000000000000−i3i3i3−i30000000000
χ5822-2-2-2-222-22-122-211-2-2-1211-2-2-1-1222-2-1-221-211-1-12-112-211-1-1-112-21-1-1-1111-1-22-1111-1-100000000i3i3−i3−i3−i3−i3i3i30000000000000000i3−i3−i3i30000000000
χ5922-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-22-12-21-211-1-12-112-211-1-11-1-221-111-1-1-112-2-11-1-11100000000−i3−i3i3i3i3i3−i3−i30000000000000000i3−i3−i3i30000000000
χ6022-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-22-12-21-211-1-12-112-211-1-11-1-221-111-1-1-112-2-11-1-11100000000i3i3−i3−i3−i3−i3i3i30000000000000000−i3i3i3−i30000000000
χ612-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i00200002-2-20000002i−2i2i−2i000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2-22i−2i000000000000000000
χ622-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i00200002-2-20000002i−2i2i−2i000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i-22−2i2i000000000000000000
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χ662-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i00200002-2-2000000−2i2i−2i2i000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-222i−2i000000000000000000
χ672-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i00200002-2-2000000−2i2i−2i2i00000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-222i−2i000000000000000000
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χ704444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-4-2-2111-2-2-2-2-2-21111222211-1-1-1-1222211-1-1-1-10000000000000000000000000000000000000000000000
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χ7444444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2001002211122222211110000-1-1-33-330000-1-1-33-330000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.