Finite Group Databasebeta

← Group #11785325

Character table — Group #11785325

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order122244442233446666661212121212121212344446666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212122244444444446688881212121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11ii−i−i-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-111-1-111-1-111i−ii−i11-1-1-1-1ii−i−iii−i−i1-1ii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11ii−i−i-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-1-111-1-11111i−i−ii-1-111-1-1ii−i−i−i−iii-11−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11ii−i−i-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-11111-1-1-1-111-1-1−iii−i11-1-111−i−iiiii−i−i-11−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11ii−i−i-1-111-1-1-1-11-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-111-1-11111-1-1-1-1−ii−ii-1-11111−i−iii−i−iii1-1ii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11−i−iii-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-111-1-111-1-111−ii−ii11-1-1-1-1−i−iii−i−iii1-1−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11−i−iii-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii11-1-1-1-111-1-11111−iii−i-1-111-1-1−i−iiiii−i−i-11ii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11−i−iii-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-11111-1-1-1-111-1-1i−i−ii11-1-111ii−i−i−i−iii-11ii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11−i−iii-1-111-1-1-1-11-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-1-111-1-11111-1-1-1-1i−ii−i-1-11111ii−i−iii−i−i1-1−i−iii
χ1722222222222-122-1-1222-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-122000000-1-1-1-1-1-10000000000
χ1822222222222-122-1-1222-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011-2-20000001111110000000000
χ1922222222222-122-1-1222-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111222200000000-1-1-2-2000000-1-111110000000000
χ2022222222222-122-1-1222-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-200000000112200000011-1-1-1-10000000000
χ212222222222-122222-1-1-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000000022-1-1-1-1000000-1-1-1-1000000
χ222222222222-122222-1-1-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-211110000001111000000
χ232222222222-122222-1-1-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000222200000000-2-2-1-1-1-10000001111000000
χ242222222222-122222-1-1-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-200000000221111000000-1-1-1-1000000
χ2522222222-2-222-2-22222222222222220000-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000222200000000000000000000-2-20000
χ2622222222-2-222-2-22222222222222220000-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000000000000000-220000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22000022222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-222000000000000000000002-20000
χ292222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-12i2i−2i−2i-21-1-111-21-11122-1-1-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii22-2-200000000-1-12i−2i00000011−i−iii0000000000
χ302222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-12i2i−2i−2i-21-1-111-21-11122-1-1-1-1-1-111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii-2-2220000000011−2i2i000000-1-1ii−i−i0000000000
χ312222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1−2i−2i2i2i-21-1-111-21-11122-1-1-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i22-2-200000000-1-1−2i2i00000011ii−i−i0000000000
χ322222-2-2-2-2-2-22-122-1-1222-1-2-211-2-211-1−2i−2i2i2i-21-1-111-21-11122-1-1-1-1-1-11111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i-2-22200000000112i−2i000000-1-1−i−iii0000000000
χ332222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-12i2i−2i−2i1-2-1-1111-2-111-1-122-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii000022-2-2000000002i−2i-1-111000000−i−iii000000
χ342222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-12i2i−2i−2i1-2-1-1111-2-111-1-122-1-1-1-11111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii0000-2-22200000000−2i2i11-1-1000000ii−i−i000000
χ352222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-1−2i−2i2i2i1-2-1-1111-2-111-1-122-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i000022-2-200000000−2i2i-1-111000000ii−i−i000000
χ362222-2-2-2-2-2-2-122222-1-1-1211-2-211-2-2-1−2i−2i2i2i1-2-1-1111-2-111-1-122-1-1-1-11111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i0000-2-222000000002i−2i11-1-1000000−i−iii000000
χ3722-2-222-2-22-2222-2-2-22-2-222222-2-2-2-22000022-2-222-2-22-2-22-22-222-2-222-2-2000000000000000000000000000000002-22-2000000002-2000000002-200000000000000
χ3822-2-222-2-22-2222-2-2-22-2-222222-2-2-2-22000022-2-222-2-22-2-22-22-222-2-222-2-200000000000000000000000000000000-22-2200000000-2200000000-2200000000000000
χ3922-2-222-2-22-22-12-2112-2-2-122-1-1-2-211-100002-111-1-1-21-1112-2-11-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−32-22-200000000-1100000000-113−33−30000000000
χ4022-2-222-2-22-22-12-2112-2-2-122-1-1-2-211-100002-111-1-1-21-1112-2-11-1-111-1-111000033−3−33333−3−3−3−3000033−3−33333−3−3−3−3-22-22000000001-1000000001-1−33−330000000000
χ4122-2-222-2-22-22-12-2112-2-2-122-1-1-2-211-100002-111-1-1-21-1112-2-11-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−333332-22-200000000-1100000000-11−33−330000000000
χ4222-2-222-2-22-22-12-2112-2-2-122-1-1-2-211-100002-111-1-1-21-1112-2-11-1-111-1-1110000−3−333−3−3−3−333330000−3−333−3−3−3−33333-22-22000000001-1000000001-13−33−30000000000
χ4322-2-222-2-2-2222-22-2-22-2-222222-2-2-2-220000-2-2-2-2-2-222222-22-22-2-22222-2-20000000000000000000000000000000000002i−2i2i−2i00000000002i−2i2i−2i0000000000000000
χ4422-2-222-2-2-2222-22-2-22-2-222222-2-2-2-220000-2-2-2-2-2-222222-22-22-2-22222-2-2000000000000000000000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i0000000000000000
χ4522-2-222-2-2-22-12-22-2-2-1112-1-12211-2-2-100001-21111-12-1-1-11-1-2211-1-1-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i0000000000−ii−ii0000003−33−3000000
χ4622-2-222-2-2-22-12-22-2-2-1112-1-12211-2-2-100001-21111-12-1-1-11-1-2211-1-1-1-111−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i0000000000i−ii−i000000−33−33000000
χ4722-2-222-2-2-22-12-22-2-2-1112-1-12211-2-2-100001-21111-12-1-1-11-1-2211-1-1-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i0000000000−ii−ii000000−33−33000000
χ4822-2-222-2-2-22-12-22-2-2-1112-1-12211-2-2-100001-21111-12-1-1-11-1-2211-1-1-1-111i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i0000000000i−ii−i0000003−33−3000000
χ4922-2-2-2-2222-222-22-2-22-2-22-2-2-2-222222000022-2-222-2-22-2-2-22-22-2-222-2-2220000000000000000000000000000000000002i−2i−2i2i00000000002i−2i−2i2i0000000000000000
χ5022-2-2-2-2222-222-22-2-22-2-22-2-2-2-222222000022-2-222-2-22-2-2-22-22-2-222-2-222000000000000000000000000000000000000−2i2i2i−2i0000000000−2i2i2i−2i0000000000000000
χ5122-2-2-2-2222-2-12-22-2-2-111211-2-2-1-122-10000-1211-1-11-2-1111-1-2211-1-111-1-133−3−3000033−3−333−3−3−3−3330000−3−333−3−33300002i−2i−2i2i0000000000−iii−i000000i3−i3−i3i3000000
χ5222-2-2-2-2222-2-12-22-2-2-111211-2-2-1-122-10000-1211-1-11-2-1111-1-2211-1-111-1-133−3−3000033−3−333−3−3−3−3330000−3−333−3−3330000−2i2i2i−2i0000000000i−i−ii000000−i3i3i3−i3000000
χ5322-2-2-2-2222-2-12-22-2-2-111211-2-2-1-122-10000-1211-1-11-2-1111-1-2211-1-111-1-1−3−3330000−3−333−3−33333−3−3000033−3−333−3−300002i−2i−2i2i0000000000−iii−i000000−i3i3i3−i3000000
χ5422-2-2-2-2222-2-12-22-2-2-111211-2-2-1-122-10000-1211-1-11-2-1111-1-2211-1-111-1-1−3−3330000−3−333−3−33333−3−3000033−3−333−3−30000−2i2i2i−2i0000000000i−i−ii000000i3−i3−i3i3000000
χ5522-2-2-2-222-22222-2-2-22-2-22-2-2-2-2222220000-2-2-2-2-2-2222222-22-222-2-2-2-222000000000000000000000000000000002-2-22000000002-200000000-2200000000000000
χ5622-2-2-2-222-22222-2-2-22-2-22-2-2-2-2222220000-2-2-2-2-2-2222222-22-222-2-2-2-22200000000000000000000000000000000-222-200000000-22000000002-200000000000000
χ5722-2-2-2-222-222-12-2112-2-2-1-2-21122-1-1-10000-2111112-1-1-1-12-2-11-1-11111-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i32-2-2200000000-11000000001-1−i3i3i3−i30000000000
χ5822-2-2-2-222-222-12-2112-2-2-1-2-21122-1-1-10000-2111112-1-1-1-12-2-11-1-11111-1-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3-222-2000000001-100000000-11i3−i3−i3i30000000000
χ5922-2-2-2-222-222-12-2112-2-2-1-2-21122-1-1-10000-2111112-1-1-1-12-2-11-1-11111-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i32-2-2200000000-11000000001-1i3−i3−i3i30000000000
χ6022-2-2-2-222-222-12-2112-2-2-1-2-21122-1-1-10000-2111112-1-1-1-12-2-11-1-11111-1-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3-222-2000000001-100000000-11−i3i3i3−i30000000000
χ612-22-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i21+i−1−i1−i−1+i002-20000-200000000002i−2i2i−2i1+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+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000002-22i−2i00000000000000000000001+i−1−i1−i−1+i
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χ1264-4-44−4i4i4i−4i00-2-2002-222-222i−2i2i−2i−2i2i−2i2i1000000-11-3300-13-300003i−3i−3i3i−iii−iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−33i3−i3−i3i33−3ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−i3i3−333−3i3−i300000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.