Finite Group Databasebeta

← Group #11787032

Character table — Group #11787032

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order12224444223344666666121212121212121236666666121212121212121266881212242424242424242424242424242424242244444488888888121212121212121224242424242424248888661212242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−ii−i1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i11-1-1ii−i−i−i−iii-1-111iiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−i−iii−ii-11
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−i−ii-11
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iiii−i1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1−ii11−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−ii−i-11
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1−ii11−i−iii−i−iii−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii−ii1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1−ii11−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i−ii1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1111-1-1-1-11-1-1−ii11−i−iii−i−iii−i−i−i−iiiii-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iiii−i-11
χ1722222222222-12222-1-12-122-1-1-1-122-122-1-1-1-1-12-1-1-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ1822222222222-12222-1-12-122-1-1-1-122-122-1-1-1-1-12-1-1-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000011111111000000000000111100000000
χ1922222222222-12222-1-12-122-1-1-1-122-122-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-1-11111-2-2-2-2111111112222-2-2-2-20000000011111111000000000000-1-1-1-100000000
χ2022222222222-12222-1-12-122-1-1-1-122-122-1-1-1-1-12-1-1-1-1-1-12-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-2222200000000-1-1-1-1-1-1-1-1000000000000111100000000
χ212222222222-1222-1-122-12-1-12222-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002222222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ222222222222-1222-1-122-12-1-12222-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-200000000111111110000000011110000
χ232222222222-1222-1-122-12-1-12222-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111000000002222-2-2-2-2000000001111111100000000-1-1-1-10000
χ242222222222-1222-1-122-12-1-12222-1-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000-2-2-2-2222200000000-1-1-1-1-1-1-1-10000000011110000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-22222-2-2-200-2-2000000000000000000000000000000000000000000000000222200000000-2-200
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-22222-2-2-200-2-2000000000000000000000000000000000000000000000000-2-2-2-2000000002200
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000000000002i2i−2i−2i00000000−2i2i00
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i000000002i−2i00
χ292222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-2-1-2-21-1-1-112-1-111112112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii22-2-22i2i−2i−2i00000000−i−i−i−iiiii000000000000-1-11100000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-2-1-2-21-1-1-112-1-111112112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii-2-222−2i−2i2i2i00000000iiii−i−i−i−i00000000000011-1-100000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-2-1-2-21-1-1-112-1-11111211−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i22-2-2−2i−2i2i2i00000000iiii−i−i−i−i000000000000-1-11100000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-21111-2-2-1-2-21-1-1-112-1-11111211−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i-2-2222i2i−2i−2i00000000−i−i−i−iiiii00000000000011-1-100000000
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-211-111-2-1-1-1-2-1221111-1112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii000000002i2i−2i−2i22-2-200000000-1-1-1-1111100000000−i−iii0000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-211-111-2-1-1-1-2-1221111-1112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii00000000−2i−2i2i2i-2-222000000001111-1-1-1-100000000ii−i−i0000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-211-111-2-1-1-1-2-1221111-111−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i000000002i2i−2i−2i-2-222000000001111-1-1-1-100000000−i−iii0000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-2-2-211-111-2-1-1-1-2-1221111-111−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−2i−2i2i2i22-2-200000000-1-1-1-1111100000000ii−i−i0000
χ3722-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-222-22-2-22-222-222-2-2-22-2002-200000000000000002-22-2000000000000000000000000000000002-22-200000000
χ3822-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-222-22-2-22-222-222-2-2-22-2002-20000000000000000-22-2200000000000000000000000000000000-22-2200000000
χ3922-2-222-2-22-22-12-2-2-2112-122-1-111-2-2-12-2-111-112-11-1-111-2-1100-113−33−3000033−3−333−3−32-22-200000000000033−3−333−3−3000000000000-11-1100000000
χ4022-2-222-2-22-22-12-2-2-2112-122-1-111-2-2-12-2-111-112-11-1-111-2-1100-113−33−3000033−3−333−3−3-22-22000000000000−3−333−3−3330000000000001-11-100000000
χ4122-2-222-2-22-22-12-2-2-2112-122-1-111-2-2-12-2-111-112-11-1-111-2-1100-11−33−330000−3−333−3−3332-22-2000000000000−3−333−3−333000000000000-11-1100000000
χ4222-2-222-2-22-22-12-2-2-2112-122-1-111-2-2-12-2-111-112-11-1-111-2-1100-11−33−330000−3−333−3−333-22-2200000000000033−3−333−3−30000000000001-11-100000000
χ4322-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-2-2-222-2-2222-2-22-2200-220000000000000000000000002i−2i2i−2i00000000000000000000000000002i−2i2i−2i0000
χ4422-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-2-2-222-2-2222-2-22-2200-22000000000000000000000000−2i2i−2i2i0000000000000000000000000000−2i2i−2i2i0000
χ4522-2-222-2-2-22-12-2211-2-2-12-1-122-2-211-11-1-211-121-22-1-111-11-1001-100003−33−33−33−33−33−3000000002i−2i2i−2i000000000000−i3−i3i3i3−i3−i3i3i300000000−ii−ii0000
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χ4722-2-222-2-2-22-12-2211-2-2-12-1-122-2-211-11-1-211-121-22-1-111-11-1001-10000−33−33−33−33−33−33000000002i−2i2i−2i000000000000i3i3−i3−i3i3i3−i3−i300000000−ii−ii0000
χ4822-2-222-2-2-22-12-2211-2-2-12-1-122-2-211-11-1-211-121-22-1-111-11-1001-10000−33−33−33−33−33−3300000000−2i2i−2i2i000000000000−i3−i3i3i3−i3−i3i3i300000000i−ii−i0000
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χ5022-2-2-2-2222-222-22-2-2-2-222-2-2-2-2222222-22-2-22-2-2-22-2-22222-200-22000000000000000000000000-222-20000000000000000000000000000-222-20000
χ5122-2-2-2-2222-2-12-2211-2-2-1211-2-222-1-1-1-11211-1-21-2211-1-1-1-11001-10000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3000000002-2-22000000000000−i3−i3i3i3i3i3−i3−i300000000-111-10000
χ5222-2-2-2-2222-2-12-2211-2-2-1211-2-222-1-1-1-11211-1-21-2211-1-1-1-11001-10000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i300000000-222-2000000000000i3i3−i3−i3−i3−i3i3i3000000001-1-110000
χ5322-2-2-2-2222-2-12-2211-2-2-1211-2-222-1-1-1-11211-1-21-2211-1-1-1-11001-10000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3000000002-2-22000000000000i3i3−i3−i3−i3−i3i3i300000000-111-10000
χ5422-2-2-2-2222-2-12-2211-2-2-1211-2-222-1-1-1-11211-1-21-2211-1-1-1-11001-10000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i300000000-222-2000000000000−i3−i3i3i3i3i3−i3−i3000000001-1-110000
χ5522-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-2-2-22222-2-2-222-2-22002-200000000000000002-2-22000000000000000000000000000000002-2-2200000000
χ5622-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-2-2-22222-2-2-222-2-22002-20000000000000000-222-200000000000000000000000000000000-222-200000000
χ5722-2-2-2-222-222-12-2-2-2112-1-2-211-1-122-1-22111-1-12-1111-1-1-21-100-11−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i32-2-22000000000000−i3−i3i3i3i3i3−i3−i3000000000000-111-100000000
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χ652-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-20000−2i2i−2i2i0000000000000000000000000001−i−1+i1+i−1−i00002−2i2−i21−i−1+i1−i−1+i1+i−1−i1+i−1−i2−22−2i2−i2i2−i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ662-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i20002-2-20000−2i2i−2i2i0000000000000000000000000001−i−1+i1+i−1−i0000−22−i2i21−i−1+i1−i−1+i1+i−1−i1+i−1−i−22−22−i2i2−i2i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.