Finite Group Databasebeta

← Group #11791404

Character table — Group #11791404

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222444422334466666612121212121212123444466666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888444422446666121212122424242424242424444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-1-1-1-1-11111-1-11111
χ811111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
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−iii−i−iii−i−i11-1-111-1-11111-1-1-1-1ii−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−iii−i−i−i−iii-1-1111-1-1111-1-1-1-111ii−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−i−iiiii−i−i-1-111-111-1-1-11111-1-1−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−i−iii−i−iii11-1-1-1-111-1-1-1-11111−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−iiiiiiiiiiiiiiiiiii−i−iii−i−i11-1-1-1-111-1-1-1-11111ii−i−iii−i−i1-1−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−iiiiiiiiiiiiiiiiiii−i−i−i−iii-1-111-111-1-1-11111-1-1ii−i−i−i−iii-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−i−iiiii−i−i-1-1111-1-1111-1-1-1-111−i−iiiii−i−i-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−i−iii−i−iii11-1-111-1-11111-1-1-1-1−i−iii−i−iii1-1−i−iii
χ1722222222222-12222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000020200-1-100-1-10000-1-1-1-1000000
χ1822222222222-12222-1-12-122-1-122-1-1-122222-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000-20-20011001100001111000000
χ1922222222222-12222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000222200000-20-2001100110000-1-1-1-1000000
χ2022222222222-12222-1-12-122-1-122-1-1-1-2-2-2-22-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000-2-2-2-20000020200-1-100-1-100001111000000
χ212222222222-1222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222000000002020-1-100-1-100-1-1-1-10000000000
χ222222222222-1222-1-122-12-1-122-1-122-12222-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200000000-20-201100110011110000000000
χ232222222222-1222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111222200000000-20-2011001100-1-1-1-10000000000
χ242222222222-1222-1-122-12-1-122-1-122-1-2-2-2-2-12-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-2-2000000002020-1-100-1-10011110000000000
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
χ292222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-12i2i−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−2iiiiiiiiiiiii00002i2i−2i−2i0000020-200-1-100110000−i−iii000000
χ302222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-12i2i−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−2iiiiiiiiiiiii0000−2i−2i2i2i00000-202001100-1-10000ii−i−i000000
χ312222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1−2i−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−i00002i2i−2i−2i00000-202001100-1-10000−i−iii000000
χ322222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1−2i−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−i0000−2i−2i2i2i0000020-200-1-100110000ii−i−i000000
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-12i2i−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−2iiiiiiiii2i2i−2i−2i0000000020-20-1-1001100−i−iii0000000000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-12i2i−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−2iiiiiiiii−2i−2i2i2i00000000-20201100-1-100ii−i−i0000000000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-1−2i−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−i2i2i−2i−2i00000000-20201100-1-100−i−iii0000000000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-1−2i−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−i−2i−2i2i2i0000000020-20-1-1001100ii−i−i0000000000
χ3722-2-222-2-22-2222-2-2-2-2-22222-2-2-2-2222000022-2-222-2-22-2-22-22-222-2-222-2-2000000000000000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000000000
χ3822-2-222-2-22-2222-2-2-2-2-22222-2-2-2-2222000022-2-222-2-22-2-22-22-222-2-222-2-200000000000000000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000000000
χ3922-2-222-2-22-2-122-211-2-2-12-1-1-2-21122-10000-1211-1-11-2-111-112-2-1-111-1-11133−3−300003333−3−3−3−333−3−300003333−3−3−3−32i−2i2i−2i000000000000−i3i300−i3i300−ii−ii0000000000
χ4022-2-222-2-22-2-122-211-2-2-12-1-1-2-21122-10000-1211-1-11-2-111-112-2-1-111-1-11133−3−300003333−3−3−3−333−3−300003333−3−3−3−3−2i2i−2i2i000000000000i3−i300i3−i300i−ii−i0000000000
χ4122-2-222-2-22-2-122-211-2-2-12-1-1-2-21122-10000-1211-1-11-2-111-112-2-1-111-1-111−3−3330000−3−3−3−33333−3−3330000−3−3−3−333332i−2i2i−2i000000000000i3−i300i3−i300−ii−ii0000000000
χ4222-2-222-2-22-2-122-211-2-2-12-1-1-2-21122-10000-1211-1-11-2-111-112-2-1-111-1-111−3−3330000−3−3−3−33333−3−3330000−3−3−3−33333−2i2i−2i2i000000000000−i3i300−i3i300i−ii−i0000000000
χ4322-2-222-2-2-2222-22-2-2-2-22222-2-2-2-22220000-2-2-2-2-2-222222-22-22-2-22222-2-20000000000000000000000000000000000002-22-2000000000000000000002-22-2000000
χ4422-2-222-2-2-2222-22-2-2-2-22222-2-2-2-22220000-2-2-2-2-2-222222-22-22-2-22222-2-2000000000000000000000000000000000000-22-2200000000000000000000-22-22000000
χ4522-2-222-2-2-222-1-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-221-111-1-1-1-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002-22-20000000000−i3i300−i3i30000-11-11000000
χ4622-2-222-2-2-222-1-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-221-111-1-1-1-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000-22-220000000000i3−i300i3−i300001-11-1000000
χ4722-2-222-2-2-222-1-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-221-111-1-1-1-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002-22-20000000000i3−i300i3−i30000-11-11000000
χ4822-2-222-2-2-222-1-22-2-2112-12211-2-2-1-1-10000-2111112-1-1-1-1-221-111-1-1-1-1110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000-22-220000000000−i3i300−i3i300001-11-1000000
χ4922-2-2-2-2222-222-22-2-2-2-222-2-22222-2-22000022-2-222-2-22-2-2-22-22-2-222-2-2220000000000000000000000000000000000002i−2i−2i2i000000000000000000002i−2i−2i2i000000
χ5022-2-2-2-2222-222-22-2-2-2-222-2-22222-2-22000022-2-222-2-22-2-2-22-22-2-222-2-222000000000000000000000000000000000000−2i2i2i−2i00000000000000000000−2i2i2i−2i000000
χ5122-2-2-2-2222-22-1-22-2-2112-1-2-2-1-12211-100002-111-1-1-21-111-221-111-1-111-1-1000033−3−333−3−333−3−30000−3−333−3−333−3−33300002i−2i−2i2i0000000000−i3i300i3−i30000−iii−i000000
χ5222-2-2-2-2222-22-1-22-2-2112-1-2-2-1-12211-100002-111-1-1-21-111-221-111-1-111-1-1000033−3−333−3−333−3−30000−3−333−3−333−3−3330000−2i2i2i−2i0000000000i3−i300−i3i30000i−i−ii000000
χ5322-2-2-2-2222-22-1-22-2-2112-1-2-2-1-12211-100002-111-1-1-21-111-221-111-1-111-1-10000−3−333−3−333−3−333000033−3−333−3−333−3−300002i−2i−2i2i0000000000i3−i300−i3i30000−iii−i000000
χ5422-2-2-2-2222-22-1-22-2-2112-1-2-2-1-12211-100002-111-1-1-21-111-221-111-1-111-1-10000−3−333−3−333−3−333000033−3−333−3−333−3−30000−2i2i2i−2i0000000000−i3i300i3−i30000i−i−ii000000
χ5522-2-2-2-222-22222-2-2-2-2-222-2-22222-2-220000-2-2-2-2-2-2222222-22-222-2-2-2-222000000000000000000000000000000002-2-22000000000000000000002-2-220000000000
χ5622-2-2-2-222-22222-2-2-2-2-222-2-22222-2-220000-2-2-2-2-2-2222222-22-222-2-2-2-22200000000000000000000000000000000-222-200000000000000000000-222-20000000000
χ5722-2-2-2-222-22-122-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-112-2-1-11111-1-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32-2-22000000000000−i3i300i3−i300-111-10000000000
χ5822-2-2-2-222-22-122-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-112-2-1-11111-1-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-222-2000000000000i3−i300−i3i3001-1-110000000000
χ5922-2-2-2-222-22-122-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-112-2-1-11111-1-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i32-2-22000000000000i3−i300−i3i300-111-10000000000
χ6022-2-2-2-222-22-122-211-2-2-121122-1-1-2-2-100001-21111-12-1-1-1-112-2-1-11111-1-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-222-2000000000000−i3i300i3−i3001-1-110000000000
χ612-22-22i−2i2i−2i0022002-22-2-2-22i−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−4i00-2-2002-22-2222i−2i−2i2i−2i2i2i−2i1000000-11-3300-13-300003i−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−ζ113−3−i3i3i3−i3−33−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11i3−i33−3−33−i3i300000000000000000000000000000000000000

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