Finite Group Databasebeta

← Group #13159415

Character table — Group #13159415

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222222222224444444444444444444444444444666688888888888888888888888888888888881212121212121212121212121212121212121818181824242424242424242727272736363636363654547272108108
order1222333334466666666666666633334466666666666612121212121212121212888812121212121212121212121212121212121212121212121212121212121212121212222424242424242424242424242424242488886666666622222224242424446644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ5111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ6111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1
χ91-11-1111111-1-1-1-1-1-111111-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-111111-1-1-1-1-1ii−i−iiiiii−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i1111-1-1-1-111-1-11-1ii−i−i1-11-1i−i
χ101-11-1111111-1-1-1-1-1-111111-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-111111-1-1-1-1-1ii−i−iiiiii−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii1111-1-1-1-1-1-111-11−i−iii-11-11−ii
χ111-11-1111111-1-1-1-1-1-111111-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-111111-1-1-1-1-1−i−iiiiiiii−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−i−i−i−i−i−i−iiiiiiiiiii−i−i-1-1-1-11111-1-1111-1ii−i−i-111-1−ii
χ121-11-1111111-1-1-1-1-1-111111-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-111111-1-1-1-1-1−i−iiiiiiii−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11−i−i−i−i−i−i−i−iiiiiiiii−i−iii-1-1-1-1111111-1-1-11−i−iii1-1-11i−i
χ131-11-1111111-1-1-1-1-1-111111-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-111111-1-1-1-1-1ii−i−i−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11iiiiiiii−i−i−i−i−i−i−i−iii−i−i-1-1-1-1111111-1-1-11ii−i−i1-1-11−ii
χ141-11-1111111-1-1-1-1-1-111111-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-111111-1-1-1-1-1ii−i−i−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11iiiiiiii−i−i−i−i−i−i−i−i−i−iii-1-1-1-11111-1-1111-1−i−iii-111-1i−i
χ151-11-1111111-1-1-1-1-1-111111-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-111111-1-1-1-1-1−i−iii−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i1111-1-1-1-1-1-111-11ii−i−i-11-11i−i
χ161-11-1111111-1-1-1-1-1-111111-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-111111-1-1-1-1-1−i−iii−i−i−i−i−iiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii1111-1-1-1-111-1-11-1−i−iii1-11-1−ii
χ17222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-200000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002222000000-2-20000
χ18222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-2-2-200000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000-2-2-2-2000000220000
χ1922222222-1222222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-100002222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222200000000000022-1-1-1-100-1-100
χ2022222222-1222222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-100002222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2000000000000-2-21111001100
χ2122222222-1222222-12222-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-2-2-2-21-2-2-2-21-1-1-1-1-1-1-1-111111111111111110000000000000000002222000000000000-2-2-1-1-1-1001100
χ2222222222-1222222-12222-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-2-2-2-21-2-2-2-21-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-2-2-200000000000022111100-1-100
χ2322222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100002-1-1-12-1-1-10000000000000000
χ2422222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-22-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000-2111-21110000000000000000
χ2522222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122222-2111-2-2111-22-1-1-12-1-1-1-2-2111111-2-2111111-2-222-1-1-1-1-1-122-1-1-1-1-1-10000-2111-21110000000000000000
χ2622222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2-2111-2-2111-22-1-1-12-1-1-1-2-2111111-2-211111122-2-2111111-2-211111100002-1-1-12-1-1-10000000000000000
χ272222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-122222-12-1-12-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000-12-1-1-12-1-10000000000000000
χ282222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-2-2-2-2-12-1-12-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-2111100001-2111-2110000000000000000
χ292222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1222221-211-21-211-2-12-1-1-12-1-111-2-2111111-2-21111-2-2-1-122-1-1-1-1-1-122-1-1-1-100001-2111-2110000000000000000
χ302222-12-1-1222-12-1-12-12-1-12-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-2-2-2-21-211-21-211-2-12-1-1-12-1-111-2-2111111-2-211112211-2-2111111-2-211110000-12-1-1-12-1-10000000000000000
χ312222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-122222-1-12-12-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-10000-1-12-1-1-12-10000000000000000
χ322222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-2-2-2-2-1-12-12-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-211000011-2111-210000000000000000
χ332222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12222211-21-211-21-2-1-12-1-1-12-11111-2-2111111-2-211-2-2-1-1-1-122-1-1-1-1-1-122-1-1000011-2111-210000000000000000
χ342222-1-12-1222-1-12-12-1-12-12-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-2-2-2-211-21-211-21-2-1-12-1-1-12-11111-2-2111111-2-211221111-2-2111111-2-2110000-1-12-1-1-12-10000000000000000
χ352222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222222-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1-12-1-1-120000000000000000
χ362222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-2-2-2-2-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-20000111-2111-20000000000000000
χ372222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222222111-2-2111-2-2-1-1-12-1-1-12111111-2-2111111-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000111-2111-20000000000000000
χ382222-1-1-12222-1-1-122-1-1-122-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-2-2-2-2111-2-2111-2-2-1-1-12-1-1-12111111-2-2111111-2-222111111-2-2111111-2-20000-1-1-12-1-1-120000000000000000
χ3922-2-2222220022222-2-2-2-2-2-2-2-2-2-22222002222-2-2-2-2-2-2-2-20000000000i2−i2i2−i2000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-22-200i2−i2i2−i2000000
χ4022-2-2222220022222-2-2-2-2-2-2-2-2-2-22222002222-2-2-2-2-2-2-2-20000000000i2−i2i2−i2000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000-22-2200−i2i2−i2i2000000
χ4122-2-2222220022222-2-2-2-2-2-2-2-2-2-22222002222-2-2-2-2-2-2-2-20000000000−i2i2−i2i2000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000-22-2200i2−i2i2−i2000000
χ4222-2-2222220022222-2-2-2-2-2-2-2-2-2-22222002222-2-2-2-2-2-2-2-20000000000−i2i2−i2i2000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-22-200−i2i2−i2i2000000
χ432-22-222222-22-2-2-2-2-222222-2-2-2-2-2222200-2-2-2-22222-2-2-2-2-2-2-2-2-22222200000000000000-2-2-2-22222000000000000000000000000000000000000000000000022-2-2000000-220000
χ442-22-222222-22-2-2-2-2-222222-2-2-2-2-2222200-2-2-2-22222-2-2-2-2-2-2-2-2-22222200000000000000-2-2-2-222220000000000000000000000000000000000000000000000-2-2220000002-20000
χ452-22-22222-12-2-2-2-2-212222-1-2-2-2-21-1-1-1-12i−2i1111-1-1-1-111112222-1-2-2-2-2100002i2i2i2i−i−2i−2i−2i−2ii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000002i2i−2i−2i0000000000002-2−i−iii00-1100
χ462-22-22222-12-2-2-2-2-212222-1-2-2-2-21-1-1-1-12i−2i1111-1-1-1-111112222-1-2-2-2-2100002i2i2i2i−i−2i−2i−2i−2ii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii000000000000000000−2i−2i2i2i000000000000-22ii−i−i001-100
χ472-22-22222-12-2-2-2-2-212222-1-2-2-2-21-1-1-1-1−2i2i1111-1-1-1-111112222-1-2-2-2-210000−2i−2i−2i−2ii2i2i2i2i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000002i2i−2i−2i000000000000-22−i−iii001-100
χ482-22-22222-12-2-2-2-2-212222-1-2-2-2-21-1-1-1-1−2i2i1111-1-1-1-111112222-1-2-2-2-210000−2i−2i−2i−2ii2i2i2i2i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i000000000000000000−2i−2i2i2i0000000000002-2ii−i−i00-1100
χ492-22-22-1-1-122-2-2111-22-1-1-12-2111-22-1-1-12i−2i-21112-1-1-1-21112-1-1-12-2111-22i2i−2i−2i2i−i−i−i2i−2iiii−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2-22i2i−i−i−i−i−i−i−2i−2iiiiiii00002-1-1-1-21110000000000000000
χ502-22-22-1-1-122-2-2111-22-1-1-12-2111-22-1-1-12i−2i-21112-1-1-1-21112-1-1-12-2111-2−2i−2i2i2i2i−i−i−i2i−2iiii−2i2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii-22−2i−2iiiiiii2i2i−i−i−i−i−i−i0000-21112-1-1-10000000000000000
χ512-22-22-1-1-122-2-2111-22-1-1-12-2111-22-1-1-1−2i2i-21112-1-1-1-21112-1-1-12-2111-22i2i−2i−2i−2iiii−2i2i−i−i−i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i-222i2i−i−i−i−i−i−i−2i−2iiiiiii0000-21112-1-1-10000000000000000
χ522-22-22-1-1-122-2-2111-22-1-1-12-2111-22-1-1-1−2i2i-21112-1-1-1-21112-1-1-12-2111-2−2i−2i2i2i−2iiii−2i2i−i−i−i2i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-2−2i−2iiiiiii2i2i−i−i−i−i−i−i00002-1-1-1-21110000000000000000
χ532-22-2-12-1-122-21-211-2-12-1-121-211-2-12-1-12i−2i1-211-12-1-11-211-12-1-121-211-22i2i−2i−2i−i2i−i−i2ii−2iii−2i-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii2-2−i−i2i2i−i−i−i−iii−2i−2iiiii0000-12-1-11-2110000000000000000
χ542-22-2-12-1-122-21-211-2-12-1-121-211-2-12-1-12i−2i1-211-12-1-11-211-12-1-121-211-2−2i−2i2i2i−i2i−i−i2ii−2iii−2i-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii-22ii−2i−2iiiii−i−i2i2i−i−i−i−i00001-211-12-1-10000000000000000
χ552-22-2-12-1-122-21-211-2-12-1-121-211-2-12-1-1−2i2i1-211-12-1-11-211-12-1-121-211-22i2i−2i−2ii−2iii−2i−i2i−i−i2i-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i-22−i−i2i2i−i−i−i−iii−2i−2iiiii00001-211-12-1-10000000000000000
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χ1388-8-88-4-4-48-400444-84444-84-4-4-48-4222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).