Finite Group Databasebeta

← Group #13159390

Character table — Group #13159390

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222222222224444444444444444444444444444666688888888888888888888888888888888881212121212121212121212121212121212121818181824242424242424242727272736363636363654547272108108
order122233333446666666666666663333446666666666661212121212121212121288881212121212121212121212121212121212121212121212121212121212121212121222242424242424242424242424242424248888666666664444442424242444121244
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
χ91-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-11111-1-1-1-1-11ii−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−i11-1-11111-1-1-1-1ii−i−ii−i11-1-1i−ii−i1-1
χ101-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-11111-1-1-1-1-11ii−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-1-1111111-1-1-1-1−i−iii−ii-1-111−ii−ii-11
χ111-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-11111-1-1-1-1-11−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−iiiiiiiii11-1-1-1-1-1-11111−i−iiii−i11-1-1−iii−i-11
χ121-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111i−i-1-1-1-11111-1-1-1-11111-1-1-1-1-11−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-1-111-1-1-1-11111ii−i−i−ii-1-111i−i−ii1-1
χ131-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-11111-1-1-1-1-11ii−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−i11-1-1-1-1-1-11111ii−i−i−ii11-1-1i−i−ii-11
χ141-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-11111-1-1-1-1-11ii−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-1-111-1-1-1-11111−i−iiii−i-1-111−iii−i1-1
χ151-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-11111-1-1-1-1-11−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−iiiiiiiii11-1-11111-1-1-1-1−i−iii−ii11-1-1−ii−ii1-1
χ161-1-1111111-11-1-1-1-111111-1-1-1-1-1-11111−ii-1-1-1-11111-1-1-1-11111-1-1-1-1-11−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-1-1111111-1-1-1-1ii−i−ii−i-1-111i−ii−i-11
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
χ19222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12222222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100002-1-1-12-1-1-10000000000000000
χ20222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-222-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000-2111-21110000000000000000
χ21222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122222-2-2111-2-21112-1-1-12-1-1-1-2-2111111-2-2111111-2-222-1-1-1-1-1-122-1-1-1-1-1-10000-2111-21110000000000000000
χ22222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2-2-2111-2-21112-1-1-12-1-1-1-2-2111111-2-211111122-2-2111111-2-211111100002-1-1-12-1-1-10000000000000000
χ2322222-12-1-122-12-1-12-12-1-12-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-1222222-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000-12-1-1-12-1-10000000000000000
χ2422222-12-1-122-12-1-12-12-1-12-12-1-12-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-2-2-2-22-12-1-12-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-2111100001-2111-2110000000000000000
χ2522222-12-1-122-12-1-12-12-1-12-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-122222-21-211-21-211-12-1-1-12-1-111-2-2111111-2-21111-2-2-1-122-1-1-1-1-1-122-1-1-1-100001-2111-2110000000000000000
χ2622222-12-1-122-12-1-12-12-1-12-12-1-12-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-12-12-1-12-2-2-2-2-21-211-21-211-12-1-1-12-1-111-2-2111111-2-211112211-2-2111111-2-211110000-12-1-1-12-1-10000000000000000
χ2722222-1-12-122-1-12-12-1-12-12-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-1222222-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-10000-1-12-1-1-12-10000000000000000
χ2822222-1-12-122-1-12-12-1-12-12-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-2-2-2-22-1-12-12-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-211000011-2111-210000000000000000
χ2922222-1-12-122-1-12-12-1-12-12-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-122222-211-21-211-21-1-12-1-1-12-11111-2-2111111-2-211-2-2-1-1-1-122-1-1-1-1-1-122-1-1000011-2111-210000000000000000
χ3022222-1-12-122-1-12-12-1-12-12-1-12-12-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-2-2-2-2-211-21-211-21-1-12-1-1-12-11111-2-2111111-2-211221111-2-2111111-2-2110000-1-12-1-1-12-10000000000000000
χ3122222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12222222-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1-12-1-1-120000000000000000
χ3222222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-2-2-2-22-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-20000111-2111-20000000000000000
χ3322222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1222222-2111-2-2111-2-1-1-12-1-1-12111111-2-2111111-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000111-2111-20000000000000000
χ3422222-1-1-1222-1-1-122-1-1-122-1-1-122-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-2-2-2-2-2111-2-2111-2-1-1-12-1-1-12111111-2-2111111-2-222111111-2-2111111-2-20000-1-1-12-1-1-120000000000000000
χ352222-12222222222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222200000000000022-1-1-1-100-1-100
χ362222-12222222222-12222-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2000000000000-2-21111001100
χ372222-12222222222-12222-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-100001-2-2-2-21-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000002222000000000000-2-2-1-1-1-1001100
χ382222-12222222222-12222-12222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-12222-100001-2-2-2-21-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000-2-2-2-200000000000022111100-1-100
χ3922-2-22222200-2-2-2-2-2-2-2-2-222222-2222200-2-2-2-2-2-2-2-2222200000000002−22−20000000000000000000000000000000000002−22−22−22−22−22−22−22−2i2−i2i2−i2000000002i−2i2i−2i00i2−i2i2−i2000000
χ4022-2-22222200-2-2-2-2-2-2-2-2-222222-2222200-2-2-2-2-2-2-2-2222200000000002−22−20000000000000000000000000000000000002−22−22−22−22−22−22−22−2−i2i2−i2i200000000−2i2i−2i2i00−i2i2−i2i2000000
χ4122-2-22222200-2-2-2-2-2-2-2-2-222222-2222200-2-2-2-2-2-2-2-222220000000000−22−22000000000000000000000000000000000000−22−22−22−22−22−22−22−22i2−i2i2−i200000000−2i2i−2i2i00i2−i2i2−i2000000
χ4222-2-22222200-2-2-2-2-2-2-2-2-222222-2222200-2-2-2-2-2-2-2-222220000000000−22−22000000000000000000000000000000000000−22−22−22−22−22−22−22−22−i2i2−i2i2000000002i−2i2i−2i00−i2i2−i2i2000000
χ432-22-222222002222-2-2-2-2-2-2-2-2-2-222222002222-2-2-2-2-2-2-2-20000000000i2−i2−i2i2000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i200000000-222-200i2−i2−i2i2000000
χ442-22-222222002222-2-2-2-2-2-2-2-2-2-222222002222-2-2-2-2-2-2-2-20000000000i2−i2−i2i2000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2000000002-2-2200−i2i2i2−i2000000
χ452-22-222222002222-2-2-2-2-2-2-2-2-2-222222002222-2-2-2-2-2-2-2-20000000000−i2i2i2−i2000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2000000002-2-2200i2−i2−i2i2000000
χ462-22-222222002222-2-2-2-2-2-2-2-2-2-222222002222-2-2-2-2-2-2-2-20000000000−i2i2i2−i2000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i200000000-222-200−i2i2i2−i2000000
χ472-2-22222222-2-2-2-2-222222-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-2-2-2-2-222222-200000000000000-2-2-2-2222200000000000000000000000000000000000000000000002i2i−2i−2i000000−2i2i0000
χ482-2-22222222-2-2-2-2-222222-2-2-2-2-2-2222200-2-2-2-22222-2-2-2-2-2-2-2-222222-200000000000000-2-2-2-222220000000000000000000000000000000000000000000000−2i−2i2i2i0000002i−2i0000
χ492-2-2222-1-1-1-22-211122-1-1-1-2-2111-22-1-1-12i−2i-21112-1-1-1-21112-1-1-1-2-211122i2i−2i−2i2i2i−i−i−i−2i−2iiii2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2-22i2i−i−i−i−i−i−i−2i−2iiiiiii00002-1-1-1-21110000000000000000
χ502-2-2222-1-1-1-22-211122-1-1-1-2-2111-22-1-1-12i−2i-21112-1-1-1-21112-1-1-1-2-21112−2i−2i2i2i2i2i−i−i−i−2i−2iiii2-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii-22−2i−2iiiiiii2i2i−i−i−i−i−i−i0000-21112-1-1-10000000000000000
χ512-2-2222-1-1-1-22-211122-1-1-1-2-2111-22-1-1-1−2i2i-21112-1-1-1-21112-1-1-1-2-211122i2i−2i−2i−2i−2iiii2i2i−i−i−i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i-222i2i−i−i−i−i−i−i−2i−2iiiiiii0000-21112-1-1-10000000000000000
χ522-2-2222-1-1-1-22-211122-1-1-1-2-2111-22-1-1-1−2i2i-21112-1-1-1-21112-1-1-1-2-21112−2i−2i2i2i−2i−2iiii2i2i−i−i−i2-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i2-2−2i−2iiiiiii2i2i−i−i−i−i−i−i00002-1-1-1-21110000000000000000
χ532-2-222-12-1-1-221-2112-12-1-1-21-211-2-12-1-12i−2i1-211-12-1-11-211-12-1-1-21-21122i2i−2i−2i2i−i2i−i−i−2ii−2iii-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
χ542-2-222-12-1-1-221-2112-12-1-1-21-211-2-12-1-12i−2i1-211-12-1-11-211-12-1-1-21-2112−2i−2i2i2i2i−i2i−i−i−2ii−2iii-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
χ552-2-222-12-1-1-221-2112-12-1-1-21-211-2-12-1-1−2i2i1-211-12-1-11-211-12-1-1-21-21122i2i−2i−2i−2ii−2iii2i−i2i−i−i-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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χ13488-8-8-4-4-4-4800444-84444-8-4-4-4-484222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-88-8-48-4-4-4008-4-4-44-84444-8444-4-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-8-4-48-4-400-48-4-444-84444-844-42-422002-422-24-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-8-4-4-48-400-4-48-4444-84444-84-422-420022-42-2-24-2-2-24-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-8-4-4-4-4800-4-4-484444-84444-8-4222-400222-4-2-2-24-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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