Finite Group Databasebeta

← Group #11787037

Character table — Group #11787037

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636
order12224444223344666666121212121212121222344666666612121212121212126666666666121212121212121212124444888812121212121212122424242424242424888844881212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
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
χ61111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11111
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
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-1i−i11-1-1ii−i−ii−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii-11i−i-1-111ii−i−i−ii−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-1−ii11-1-1−i−iii−ii−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-111111-1-11111-1-1-1-111-1-1-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i-11−ii-1-111−i−iiii−iii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-11−ii-1-111−i−iiii−i−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii1-1−ii11-1-1−i−iii−iiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-11i−i-1-111ii−i−i−iiii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−i1-1i−i11-1-1ii−i−ii−i−i−iii
χ1722222222222-122222-1-1-122-1-1-1-12222-1222-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100002200-1-1-1-10000000000
χ1822222222222-122222-1-1-122-1-1-1-12222-1222-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000-2-20011110000000000
χ1922222222222-122222-1-1-122-1-1-1-122-2-2-1-2-22-1-1-1-1-1222-1-1-1-1-1-1-2-211-1-11111-2-211-1-111110000222200000000-1-1-1-1-1-1-1-10000-2-20011110000000000
χ2022222222222-122222-1-1-122-1-1-1-122-2-2-1-2-22-1-1-1-1-1222-1-1-1-1-1-1-2-211-1-11111-2-211-1-111110000-2-2-2-2000000001111111100002200-1-1-1-10000000000
χ212222222222-1222-1-1-1222-1-12222-1-122-122-122-1-1-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1000000
χ222222222222-1222-1-1-1222-1-12222-1-122-122-122-1-1-1-1-1-12-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000000000-2-200001111000000
χ232222222222-1222-1-1-1222-1-12222-1-1-2-2-1-2-2-122-1-1-1-1-1-12-1-1-1-1211-2-2-1-1111111-2-2-1-1111122220000-1-1-1-1-1-1-1-100000000000000-2-200001111000000
χ242222222222-1222-1-1-1222-1-12222-1-1-2-2-1-2-2-122-1-1-1-1-1-12-1-1-1-1211-2-2-1-1111111-2-2-1-11111-2-2-2-200001111111100000000000000220000-1-1-1-1000000
χ2522222222-2-222-2-22222222222222200200-2-2-2222-2-2-2-22222-20000-2-200000000-2-200000000000000000000000000002222000000000000-2-20000
χ2622222222-2-222-2-22222222222222200200-2-2-2222-2-2-2-22222-20000-2-200000000-2-20000000000000000000000000000-2-2-2-2000000000000220000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-200002200000000-2-200000000000000000000000000002i2i−2i−2i000000000000−2i2i0000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2002002222222-2-2-2-2-2-2-2-200002200000000-2-20000000000000000000000000000−2i−2i2i2i0000000000002i−2i0000
χ292222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-222-1-2-2-211-1-1-1-222-11111-122-1-111-1-1-1-1-2-211-1-11111000022-2-200000000-1-1-1-1111100002-200-1-1110000000000
χ302222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-222-1-2-2-211-1-1-1-222-11111-122-1-111-1-1-1-1-2-211-1-111110000-2-222000000001111-1-1-1-10000-220011-1-10000000000
χ312222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-2-2-122-211-1-1-1-222-11111-1-2-21111111122-1-1-1-1-1-1-1-1000022-2-200000000-1-1-1-111110000-220011-1-10000000000
χ322222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-2-2-122-211-1-1-1-222-11111-1-2-21111111122-1-1-1-1-1-1-1-10000-2-222000000001111-1-1-1-100002-200-1-1110000000000
χ332222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-21122-1-2-21-2-2-1-1-11-1-1211112-1-12211-1-1-1-111-2-2-1-111112i2i−2i−2i0000−i−i−i−iiiii000000000000002i−2i0000−i−iii000000
χ342222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-21122-1-2-21-2-2-1-1-11-1-1211112-1-12211-1-1-1-111-2-2-1-11111−2i−2i2i2i0000iiii−i−i−i−i00000000000000−2i2i0000ii−i−i000000
χ352222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-2-2-1221-2-2-1-1-11-1-121111211-2-2111111-1-122-1-1-1-1-1-12i2i−2i−2i0000−i−i−i−iiiii00000000000000−2i2i0000ii−i−i000000
χ362222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-2-2-1221-2-2-1-1-11-1-121111211-2-2111111-1-122-1-1-1-1-1-1−2i−2i2i2i0000iiii−i−i−i−i000000000000002i−2i0000−i−iii000000
χ3722-2-222-2-22-2222-2-2-222-2-22222-2-2-2-22-222-222-2-2-22-22-2222-2-2-22-22-22-222-2-22-22-22-222-2-20000000000000000000000000000000000000000000000
χ3822-2-222-2-22-2222-2-2-222-2-22222-2-2-2-2-222-2222-2-2-22-22-2222-2-2-2-22-222-2-2-222-22-222-2-2-2220000000000000000000000000000000000000000000000
χ3922-2-222-2-22-22-12-2-2-22-11122-1-111-2-22-2-12-22-1111-1-22-2-1-1-11112-2-11-11-1-1112-2-11-11-1-111000000000000000033−3−333−3−3000000003−33−30000000000
χ4022-2-222-2-22-22-12-2-2-22-11122-1-111-2-22-2-12-22-1111-1-22-2-1-1-11112-2-11-11-1-1112-2-11-11-1-1110000000000000000−3−333−3−33300000000−33−330000000000
χ4122-2-222-2-22-22-12-2-2-22-11122-1-111-2-2-22-1-222-1111-1-22-2-1-1-1111-221-1-1111-1-1-221-1-1111-1-1000000000000000033−3−333−3−300000000−33−330000000000
χ4222-2-222-2-22-22-12-2-2-22-11122-1-111-2-2-22-1-222-1111-1-22-2-1-1-1111-221-1-1111-1-1-221-1-1111-1-10000000000000000−3−333−3−333000000003−33−30000000000
χ4322-2-222-2-22-2-122-211-12-2-2-1-122-2-2112-2-12-2-12-211-11-112-1-111-2-112-2-11-1-111-112-2-11-1-1110000000033−3−333−3−3000000000000000000003−33−3000000
χ4422-2-222-2-22-2-122-211-12-2-2-1-122-2-2112-2-12-2-12-211-11-112-1-111-2-112-2-11-1-111-112-2-11-1-11100000000−3−333−3−33300000000000000000000−33−33000000
χ4522-2-222-2-22-2-122-211-12-2-2-1-122-2-211-22-1-22-12-211-11-112-1-111-21-1-22-1111-1-11-1-22-1111-1-10000000033−3−333−3−300000000000000000000−33−33000000
χ4622-2-222-2-22-2-122-211-12-2-2-1-122-2-211-22-1-22-12-211-11-112-1-111-21-1-22-1111-1-11-1-22-1111-1-100000000−3−333−3−333000000000000000000003−33−3000000
χ4722-2-222-2-2-2222-22-2-222-2-22222-2-2-2-200200-2-22-2-222-22-222-2-220000-2200000000-2200000000000000000000000000000000000000000000002i−2i2i−2i
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χ4922-2-2-2-2222-222-22-2-222-2-2-2-2-2-222220020022-2-2-22-2-22-2-2-222200002-200000000-2200000000000000000000000000000000000000000000002-2-22
χ5022-2-2-2-2222-222-22-2-222-2-2-2-2-2-222220020022-2-2-22-2-22-2-2-222200002-200000000-220000000000000000000000000000000000000000000000-222-2
χ5122-2-2-2-222-22222-2-2-222-2-2-2-2-2-222222-22-22-2-22-2-2222-22-2-222-22-22-2-2222-2-2-22-222-2-2-2220000000000000000000000000000000000000000000000
χ5222-2-2-2-222-22222-2-2-222-2-2-2-2-2-22222-2222-2-2-22-2-2222-22-2-222-2-22-22-22-2-2222-22-22-222-2-20000000000000000000000000000000000000000000000
χ5322-2-2-2-222-222-12-2-2-22-111-2-211-1-1222-2-1-22-21-111-122-2-111-1-112-2-111-1-1-111-221-1-1111-1-1000000000000000033−3−3−3−333000000003−3−330000000000
χ5422-2-2-2-222-222-12-2-2-22-111-2-211-1-1222-2-1-22-21-111-122-2-111-1-112-2-111-1-1-111-221-1-1111-1-10000000000000000−3−33333−3−300000000−333−30000000000
χ5522-2-2-2-222-222-12-2-2-22-111-2-211-1-122-22-12-2-21-111-122-2-111-1-11-221-11-111-1-12-2-11-11-1-111000000000000000033−3−3−3−33300000000−333−30000000000
χ5622-2-2-2-222-222-12-2-2-22-111-2-211-1-122-22-12-2-21-111-122-2-111-1-11-221-11-111-1-12-2-11-11-1-1110000000000000000−3−33333−3−3000000003−3−330000000000
χ5722-2-2-2-222-22-122-211-12-2-211-2-222-1-12-2-1-221-2211-1-1-11211-1-1-2-112-21-1-1-1111-1-22-1111-1-100000000−i3−i3i3i3i3i3−i3−i300000000000000000000−i3i3i3−i3000000
χ5822-2-2-2-222-22-122-211-12-2-211-2-222-1-12-2-1-221-2211-1-1-11211-1-1-2-112-21-1-1-1111-1-22-1111-1-100000000i3i3−i3−i3−i3−i3i3i300000000000000000000i3−i3−i3i3000000
χ5922-2-2-2-222-22-122-211-12-2-211-2-222-1-1-22-12-21-2211-1-1-11211-1-1-21-1-221-111-1-1-112-2-11-1-11100000000−i3−i3i3i3i3i3−i3−i300000000000000000000i3−i3−i3i3000000
χ6022-2-2-2-222-22-122-211-12-2-211-2-222-1-1-22-12-21-2211-1-1-11211-1-1-21-1-221-111-1-1-112-2-11-1-11100000000i3i3−i3−i3−i3−i3i3i300000000000000000000−i3i3i3−i3000000
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χ1138-8-888i−8i−8i8i00-4-4004-4444-4−4i4i−4i4i4i−4i4i−4i00200000-22-200002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88−8i8i8i−8i00-4-4004-4444-44i−4i4i−4i−4i4i−4i4i00200000-22-20000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000

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