Finite Group Databasebeta

← Group #11784798

Character table — Group #11784798

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order122244442233446666661212121212121212366666661212121212121212668812122424242424242424242424242424242422224444444444441212121212121212121212121212121222446666121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1-11i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-1111-1−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-11-1−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-11111-11i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1-11−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-1111-1i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-11-1i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-11111-11−ii
χ1722222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1002200220000222200000000-1-1-1-1-1-1-1-1000000-1-100-1-10000
χ1822222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-20000-2-2-2-200000000111111110000001100110000
χ1922222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-21111111111002200220000-2-2-2-20000000011111111000000-1-100-1-10000
χ2022222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-1-1-2-211-2-2111111111100-2-200-2-20000222200000000-1-1-1-1-1-1-1-10000001100110000
χ212222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12200220022220000-1-1-1-1-1-1-1-1000000000000-1-100-1-1000000
χ222222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-2000011111111000000000000110011000000
χ232222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-1-2-2-1-111-2-211-2-21111111122002200-2-2-2-2000011111111000000000000-1-100-1-1000000
χ242222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-1-1-2-2-1-111-2-211-2-211111111-2-200-2-20022220000-1-1-1-1-1-1-1-1000000000000110011000000
χ2522222222-2-222-2-2222222222222222-2-2222-2-2-2-2-2-22222-2-200-2-2000000000000000000000000000000000000000000000000222200000000-2-200
χ2622222222-2-222-2-2222222222222222-2-2222-2-2-2-2-2-22222-2-200-2-2000000000000000000000000000000000000000000000000-2-2-2-2000000002200
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000000022-2-2000000002-200
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000-2-22200000000-2200
χ292222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-11111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii002200-2-200002i2i−2i−2i00000000−i−i−i−iiiii000000-1-100110000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-11111112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii00-2-200220000−2i−2i2i2i00000000iiii−i−i−i−i0000001100-1-10000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-1111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i002200-2-20000−2i−2i2i2i00000000iiii−i−i−i−i000000-1-100110000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-1111111−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i00-2-2002200002i2i−2i−2i00000000−i−i−i−iiiii0000001100-1-10000
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-1221111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii2200-2-2002i2i−2i−2i0000−i−i−i−iiiii000000000000-1-10011000000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-1221111112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii-2-2002200−2i−2i2i2i0000iiii−i−i−i−i0000000000001100-1-1000000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-122111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i2200-2-200−2i−2i2i2i0000iiii−i−i−i−i000000000000-1-10011000000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-122111111−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i-2-20022002i2i−2i−2i0000−i−i−i−iiiii0000000000001100-1-1000000
χ3722-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-2-20000002i−2i2i−2i0000000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i000000000000
χ3822-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-2-20000002i−2i2i−2i0000000000000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i000000000000
χ3922-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-2-20000002i−2i2i−2i000000000000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22−2i2i000000000000
χ4022-2-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-2-20000002i−2i2i−2i000000000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i000000000000
χ4122-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-2-2000000−2i2i−2i2i0000000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2−2i2i000000000000
χ4222-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-2-2000000−2i2i−2i2i0000000000000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-222i−2i000000000000
χ4322-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-2-2000000−2i2i−2i2i000000000000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-222i−2i000000000000
χ4422-2-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-2-2000000−2i2i−2i2i000000000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2−2i2i000000000000
χ452-2-2222-2-22-2222-2-2-2-2-222-2-2-2-2222222-2-2-22-222-22-2-2-2222-2002-20000000000000000002-2002-20000000000000000000000000000002-2002-20000
χ462-2-2222-2-22-2222-2-2-2-2-222-2-2-2-2222222-2-2-22-222-22-2-2-2222-2002-2000000000000000000-2200-22000000000000000000000000000000-2200-220000
χ472-2-2222-2-22-22-12-2-2-2112-1-2-21122-1-1-12111-1-2-12-2-1111-1-1-1100-1100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i3002-2002-20000000000000000−i3i3−i3i3−i3i3−i3i3000000-1100-110000
χ482-2-2222-2-22-22-12-2-2-2112-1-2-21122-1-1-12111-1-2-12-2-1111-1-1-1100-1100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i300-2200-220000000000000000i3−i3i3−i3i3−i3i3−i30000001-1001-10000
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χ522-2-2222-2-2-2222-22-2-2-2-222-2-2-2-222222-22-2-222-2-22-22-2-222-2200-220000000000000000-2200-22000000000000000000000000000000-2200-22000000
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χ552-2-2222-2-2-22-12-2211-2-2-1211-2-2-1-122-11211-1-1-21-1-2211-1-11-1001-1i3−i300i3−i300i3−i3i3−i3i3−i3i3−i32-2002-20000000000i3−i3i3−i3i3−i3i3−i3000000000000-1100-11000000
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χ572-2-22-2-2222-222-22-2-2-2-2222222-2-2-2-222-2-2-22-22-22-2222-2-22-200-2200000000000000002-200-220000000000000000000000000000002-200-22000000
χ582-2-22-2-2222-222-22-2-2-2-2222222-2-2-2-222-2-2-22-22-22-2222-2-22-200-220000000000000000-22002-2000000000000000000000000000000-22002-2000000
χ592-2-22-2-2222-2-12-2211-2-2-12-1-12211-2-2-1-1-211-1121-1-22-1-111-11001-13−300−33003−33−3−33−332-200-2200000000003−33−3−33−33000000000000-11001-1000000
χ602-2-22-2-2222-2-12-2211-2-2-12-1-12211-2-2-1-1-211-1121-1-22-1-111-11001-13−300−33003−33−3−33−33-22002-20000000000−33−333−33−30000000000001-100-11000000
χ612-2-22-2-2222-2-12-2211-2-2-12-1-12211-2-2-1-1-211-1121-1-22-1-111-11001-1−33003−300−33−333−33−32-200-220000000000−33−333−33−3000000000000-11001-1000000
χ622-2-22-2-2222-2-12-2211-2-2-12-1-12211-2-2-1-1-211-1121-1-22-1-111-11001-1−33003−300−33−333−33−3-22002-200000000003−33−3−33−330000000000001-100-11000000
χ632-2-22-2-222-22222-2-2-2-2-2222222-2-2-2-22-22-2-222-22-22-222-2-2-22002-20000000000000000002-200-220000000000000000000000000000002-200-220000
χ642-2-22-2-222-22222-2-2-2-2-2222222-2-2-2-22-22-2-222-22-22-222-2-2-22002-2000000000000000000-22002-2000000000000000000000000000000-22002-20000
χ652-2-22-2-222-222-12-2-2-2112-122-1-1-2-211-1-2-111-1212-2-11-1-1111-100-11003−300−3333−3−3−3−333002-200-2200000000000000003−33−3−33−33000000-11001-10000
χ662-2-22-2-222-222-12-2-2-2112-122-1-1-2-211-1-2-111-1212-2-11-1-1111-100-11003−300−3333−3−3−3−33300-22002-20000000000000000−33−333−33−30000001-100-110000
χ672-2-22-2-222-222-12-2-2-2112-122-1-1-2-211-1-2-111-1212-2-11-1-1111-100-1100−33003−3−3−33333−3−3002-200-220000000000000000−33−333−33−3000000-11001-10000
χ682-2-22-2-222-222-12-2-2-2112-122-1-1-2-211-1-2-111-1212-2-11-1-1111-100-1100−33003−3−3−33333−3−300-22002-200000000000000003−33−3−33−330000001-100-110000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.