Finite Group Databasebeta

← Group #11860232

Character table — Group #11860232

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212121212121212121218181818181818182424242424242424242424242424242436363636
order1222444422334466666612121212121212123666666666668888121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422224444444444444444444466661212121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1
χ1711-1-111-1-11-111-11-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11i−ii−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-11-11-1i−ii−ii−ii−iii−i−iii−i−i1-11-1i−ii−ii−ii−i1-11-11-11-1
χ1811-1-111-1-11-111-11-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11i−ii−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-111-1-11i−ii−i−ii−ii−i−iii−i−iii1-1-11i−ii−i−ii−ii1-1-11-11-11
χ1911-1-111-1-11-111-11-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11i−ii−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-111-1-111-1−ii−iii−ii−i−i−iii−i−iii-111-1−ii−iii−ii−i-111-1-11-11
χ2011-1-111-1-11-111-11-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11i−ii−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-11-11−ii−ii−ii−iiii−i−iii−i−i-11-11−ii−ii−ii−ii-11-111-11-1
χ2111-1-111-1-11-111-11-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-11-11-1−ii−ii−ii−ii−i−iii−i−iii1-11-1−ii−ii−ii−ii1-11-11-11-1
χ2211-1-111-1-11-111-11-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-1-111-1-11−ii−iii−ii−iii−i−iii−i−i1-1-11−ii−iii−ii−i1-1-11-11-11
χ2311-1-111-1-11-111-11-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-111-1-111-1i−ii−i−ii−iiii−i−iii−i−i-111-1i−ii−i−ii−ii-111-1-11-11
χ2411-1-111-1-11-111-11-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-11−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-11-11i−ii−ii−ii−i−i−iii−i−iii-11-11i−ii−ii−ii−i-11-111-11-1
χ2511-1-1-1-111-1111-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111i−i−ii1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11-1-11-11i−i−iii−i−iiii−i−i−i−iii1-11-1i−i−iii−i−ii-11-111-1-11
χ2611-1-1-1-111-1111-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111i−i−ii1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-11-111-1i−i−ii−iii−i−i−iiiii−i−i1-1-11i−i−ii−iii−i-111-1-111-1
χ2711-1-1-1-111-1111-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111i−i−ii1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-11-1-11−iii−ii−i−ii−i−iiiii−i−i-111-1−iii−ii−i−ii1-1-11-111-1
χ2811-1-1-1-111-1111-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111i−i−ii1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-111-11-1−iii−i−iii−iii−i−i−i−iii-11-11−iii−i−iii−i1-11-11-1-11
χ2911-1-1-1-111-1111-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111−iii−i1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-11-1-11-11−iii−i−iii−i−i−iiiii−i−i1-11-1−iii−i−iii−i-11-111-1-11
χ3011-1-1-1-111-1111-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111−iii−i1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-11-111-1−iii−ii−i−iiii−i−i−i−iii1-1-11−iii−ii−i−ii-111-1-111-1
χ3111-1-1-1-111-1111-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111−iii−i1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-11-1-11i−i−ii−iii−iii−i−i−i−iii-111-1i−i−ii−iii−i1-1-11-111-1
χ3211-1-1-1-111-1111-11-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111−iii−i1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-111-11-1i−i−iii−i−ii−i−iiiii−i−i-11-11i−i−iii−i−ii1-11-11-1-11
χ3322222222222-12222-1-12-122-1-122-1-1-12-12-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100220022000022220000000000-1-10000-1-1-1-100-1-10000
χ3422222222222-12222-1-12-122-1-122-1-1-12-12-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-20000-2-2-2-20000000000110000111100110000
χ3522222222222-12222-1-12-122-1-122-1-1-12-12-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111002200220000-2-2-2-20000000000-1-10000111100-1-10000
χ3622222222222-12222-1-12-122-1-122-1-1-12-12-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111100-2-200-2-2000022220000000000110000-1-1-1-100110000
χ372222222222-1222-1-122-12-1-122-1-122-1-12-12-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220022002222000000000000-1-100-1-1-1-10000-1-1000000
χ382222222222-1222-1-122-12-1-122-1-122-1-12-12-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-200-2-2-2-200000000000011001111000011000000
χ392222222222-1222-1-122-12-1-122-1-122-1-12-12-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-2111122002200-2-2-2-2000000000000-1-10011110000-1-1000000
χ402222222222-1222-1-122-12-1-122-1-122-1-12-12-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-2-200-2-20022220000000000001100-1-1-1-1000011000000
χ4122222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000002-22-22-22-200000000000000000000
χ4222222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000-22-22-22-2200000000000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002-22-2-22-2200000000000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-22-222-22-200000000000000000000
χ452222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-21-1-11111-122-2-22-1-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111002200-2-2000022-2-20000000000-1-10000-1-11100110000
χ462222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-21-1-11111-122-2-22-1-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100-2-200220000-2-222000000000011000011-1-100-1-10000
χ472222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-21-1-11111-1-2-2222-1-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1002200-2-20000-2-2220000000000-1-1000011-1-100110000
χ482222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-21-1-11111-1-2-2222-1-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-100-2-20022000022-2-20000000000110000-1-11100-1-10000
χ492222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-21-2-1-11111-122-2-2-12-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211112200-2-20022-2-2000000000000-1-100-1-111000011000000
χ502222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-21-2-1-11111-122-2-2-12-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111-2-2002200-2-222000000000000110011-1-10000-1-1000000
χ512222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-21-2-1-11111-1-2-222-12-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-12200-2-200-2-222000000000000-1-10011-1-1000011000000
χ522222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-21-2-1-11111-1-2-222-12-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1-2-200220022-2-20000000000001100-1-1110000-1-1000000
χ5322-2-222-2-22-22-1-22-2-2112-122-1-1-2-211-12-1-2111-1-111-12i−2i2i−2i2-1-1-1-1-111-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii002-2002-200002i−2i2i−2i0000000000-110000−ii−ii00-110000
χ5422-2-222-2-22-22-1-22-2-2112-122-1-1-2-211-12-1-2111-1-111-12i−2i2i−2i2-1-1-1-1-111-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii00-2200-220000−2i2i−2i2i00000000001-10000i−ii−i001-10000
χ5522-2-222-2-22-22-1-22-2-2112-122-1-1-2-211-12-1-2111-1-111-1−2i2i−2i2i2-1-1-1-1-111-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i002-2002-20000−2i2i−2i2i0000000000-110000i−ii−i00-110000
χ5622-2-222-2-22-22-1-22-2-2112-122-1-1-2-211-12-1-2111-1-111-1−2i2i−2i2i2-1-1-1-1-111-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i00-2200-2200002i−2i2i−2i00000000001-10000−ii−ii001-10000
χ5722-2-222-2-22-2-12-2211-2-2-12-1-12211-2-2-1-121-211-1-111-12i−2i2i−2i-12-1-1-1-1111-211−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii2-2002-2002i−2i2i−2i000000000000-1100−ii−ii0000-11000000
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χ1254-4-44−4i4i4i−4i004-200-442-2-42−4i4i2i−2i4i−4i−2i2i-200002-200002000000002i−2i−2i2i000000i6−i6i6−i6i6−i600−i6i6−i6i6−i6i6006−66−66−600−66−66−6600000000000000000000000000000000000000000000
χ1264-4-44−4i4i4i−4i004-200-442-2-42−4i4i2i−2i4i−4i−2i2i-200002-200002000000002i−2i−2i2i000000−i6i6−i6i6−i6i600i6−i6i6−i6i6−i600−66−66−66006−66−66−600000000000000000000000000000000000000000000
χ1274-4-44−4i4i4i−4i00-24002-2-442-42i−2i−4i4i−2i2i4i−4i-200002-200002000000002i−2i−2i2i00006−6006−6−66−6600−666−6i6−i600−i6i6i6−i6−i6i600i6−i6−i6i600000000000000000000000000000000000000000000
χ1284-4-44−4i4i4i−4i00-24002-2-442-42i−2i−4i4i−2i2i4i−4i-200002-200002000000002i−2i−2i2i0000−6600−666−66−6006−6−66−i6i600i6−i6−i6i6i6−i600−i6i6i6−i600000000000000000000000000000000000000000000
χ1294-4-44−4i4i4i−4i00-2-2002-22-2222i−2i2i−2i−2i2i−2i2i10000-113-3-33-1000000−3i3i−iii−i003i−3i6−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23i6−i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−i6i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000000000
χ1304-4-44−4i4i4i−4i00-2-2002-22-2222i−2i2i−2i−2i2i−2i2i10000-113-3-33-1000000−3i3i−iii−i003i−3i−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−i6i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13i6−i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000000000000
χ1314-4-44−4i4i4i−4i00-2-2002-22-2222i−2i2i−2i−2i2i−2i2i10000-11-333-3-10000003i−3i−iii−i00−3i3i6−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13i6−i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−i6i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000000000
χ1324-4-44−4i4i4i−4i00-2-2002-22-2222i−2i2i−2i−2i2i−2i2i10000-11-333-3-10000003i−3i−iii−i00−3i3i−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ136−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−i6i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23i6−i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000000000

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