Finite Group Databasebeta

← Group #13171749

Character table — Group #13171749

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222333344444444444444444444446666666666666666668888888888889999121212121212121212121212121212121212121212121212121212121818181818181818181818181818242424242424242427272727363636363636363636365454
order12222233366666666644443336666666666666666666224444444412121212121212123666666666664444666612121212121212121212121212121212121212121212121222444444441212121266121212121212444466121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111111
χ101111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-111-1-1111111111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ111111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1
χ121111-1-11111111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-11111
χ131111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-11111-1-111-1-1
χ141111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ151111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ161111-1-1111111111111-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1
χ171-1-111-111111-1-1-11-1-1-1ii−i−i11111-1-11-111-111-1-1-1-1-1-11-11-1i−ii−ii−i1-1ii−i−iii−i−i11-11-11-1-111-1-1ii−i−i11-1-111-1-1i−ii−ii−ii−ii−ii−iii−i−iii−i−i1-1i−ii−ii−i1-1ii−i−i1-11-1i−ii−i11-1-11-1i−i1-1i−ii−i1-1
χ181-1-111-111111-1-1-11-1-1-1ii−i−i11111-1-11-111-111-1-1-1-1-1-11-11-1i−i−ii−ii1-1ii−i−iii−i−i11-11-11-1-111-1-1−i−iii11-1-111-1-1−ii−iii−i−iii−i−iiii−i−iii−i−i-11i−ii−i−ii-11−i−iii1-11-1−ii−ii-1-111-11i−i-11i−i−ii-11
χ191-1-111-111111-1-1-11-1-1-1ii−i−i11111-1-11-111-111-1-1-1-1-1-11-1-11i−ii−ii−i-11ii−i−iii−i−i11-11-11-1-111-1-1−i−iii-1-111-1-111i−ii−ii−ii−ii−ii−iii−i−iii−i−i1-1−ii−ii−ii1-1−i−iii-11-11i−ii−i-1-1111-1−ii1-1−ii−ii-11
χ201-1-111-111111-1-1-11-1-1-1ii−i−i11111-1-11-111-111-1-1-1-1-1-11-1-11i−i−ii−ii-11ii−i−iii−i−i11-11-11-1-111-1-1ii−i−i-1-111-1-111−ii−iii−i−iii−i−iiii−i−iii−i−i-11−ii−iii−i-11ii−i−i-11-11−ii−ii11-1-1-11−ii-11−iii−i1-1
χ211-1-111-111111-1-1-11-1-1-1−i−iii11111-1-11-111-111-1-1-1-1-1-11-11-1−iii−ii−i1-1−i−iii−i−iii11-11-11-1-111-1-1ii−i−i11-1-111-1-1i−ii−i−iii−i−iii−i−i−iii−i−iii-11−ii−iii−i-11ii−i−i1-11-1i−ii−i-1-111-11−ii-11−iii−i-11
χ221-1-111-111111-1-1-11-1-1-1−i−iii11111-1-11-111-111-1-1-1-1-1-11-11-1−ii−ii−ii1-1−i−iii−i−iii11-11-11-1-111-1-1−i−iii11-1-111-1-1−ii−ii−ii−ii−ii−ii−i−iii−i−iii1-1−ii−ii−ii1-1−i−iii1-11-1−ii−ii11-1-11-1−ii1-1−ii−ii1-1
χ231-1-111-111111-1-1-11-1-1-1−i−iii11111-1-11-111-111-1-1-1-1-1-11-1-11−iii−ii−i-11−i−iii−i−iii11-11-11-1-111-1-1−i−iii-1-111-1-111i−ii−i−iii−i−iii−i−i−iii−i−iii-11i−ii−i−ii-11−i−iii-11-11i−ii−i11-1-1-11i−i-11i−i−ii1-1
χ241-1-111-111111-1-1-11-1-1-1−i−iii11111-1-11-111-111-1-1-1-1-1-11-1-11−ii−ii−ii-11−i−iii−i−iii11-11-11-1-111-1-1ii−i−i-1-111-1-111−ii−ii−ii−ii−ii−ii−i−iii−i−iii1-1i−ii−ii−i1-1ii−i−i-11-11−ii−ii-1-1111-1i−i1-1i−ii−i-11
χ251-1-11-1111111-1-1-11-1-1-1ii−i−i111-1-111-1111-1-1-111-1-1-1-11-11-1−iii−i−ii-11ii−i−iii−i−i1-11-111-1-1-1-111−i−iii11-1-1-1-111i−i−ii−iii−i−ii−iiii−i−i−i−iii1-1i−i−iii−i-11−i−iii1-1-11i−i−ii-1-1111-1−ii-11i−ii−i1-1
χ261-1-11-1111111-1-1-11-1-1-1ii−i−i111-1-111-1111-1-1-111-1-1-1-11-11-1−ii−iii−i-11ii−i−iii−i−i1-11-111-1-1-1-111ii−i−i11-1-1-1-111−iii−i−ii−ii−iii−iii−i−i−i−iii-11i−i−ii−ii1-1ii−i−i1-1-11−iii−i11-1-1-11−ii1-1i−i−ii-11
χ271-1-11-1111111-1-1-11-1-1-1ii−i−i111-1-111-1111-1-1-111-1-1-1-11-1-11−iii−i−ii1-1ii−i−iii−i−i1-11-111-1-1-1-111ii−i−i-1-11111-1-1i−i−ii−iii−i−ii−iiii−i−i−i−iii1-1−iii−i−ii-11ii−i−i-111-1i−i−ii11-1-11-1i−i-11−ii−ii-11
χ281-1-11-1111111-1-1-11-1-1-1ii−i−i111-1-111-1111-1-1-111-1-1-1-11-1-11−ii−iii−i1-1ii−i−iii−i−i1-11-111-1-1-1-111−i−iii-1-11111-1-1−iii−i−ii−ii−iii−iii−i−i−i−iii-11−iii−ii−i1-1−i−iii-111-1−iii−i-1-111-11i−i1-1−iii−i1-1
χ291-1-11-1111111-1-1-11-1-1-1−i−iii111-1-111-1111-1-1-111-1-1-1-11-11-1i−ii−i−ii-11−i−iii−i−iii1-11-111-1-1-1-111−i−iii11-1-1-1-111i−i−iii−ii−ii−i−ii−i−iiiii−i−i-11−iii−ii−i1-1−i−iii1-1-11i−i−ii11-1-1-11i−i1-1−iii−i-11
χ301-1-11-1111111-1-1-11-1-1-1−i−iii111-1-111-1111-1-1-111-1-1-1-11-11-1i−i−iii−i-11−i−iii−i−iii1-11-111-1-1-1-111ii−i−i11-1-1-1-111−iii−ii−i−iii−ii−i−i−iiiii−i−i1-1−iii−i−ii-11ii−i−i1-1-11−iii−i-1-1111-1i−i-11−ii−ii1-1
χ311-1-11-1111111-1-1-11-1-1-1−i−iii111-1-111-1111-1-1-111-1-1-1-11-1-11i−ii−i−ii1-1−i−iii−i−iii1-11-111-1-1-1-111ii−i−i-1-11111-1-1i−i−iii−ii−ii−i−ii−i−iiiii−i−i-11i−i−ii−ii1-1ii−i−i-111-1i−i−ii-1-111-11−ii1-1i−i−ii1-1
χ321-1-11-1111111-1-1-11-1-1-1−i−iii111-1-111-1111-1-1-111-1-1-1-11-1-11i−i−iii−i1-1−i−iii−i−iii1-11-111-1-1-1-111−i−iii-1-11111-1-1−iii−ii−i−iii−ii−i−i−iiiii−i−i1-1i−i−iii−i-11−i−iii-111-1−iii−i11-1-11-1−ii-11i−ii−i-11
χ3322222222-1222-12-1-1222222-1-122222-1-1-1-1-1-1-1-1-122-1-12-10022222200-1-1-1-12222-1-1-122-1-1-1-1-1-1-100000000000022-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000002200000000-1-1-1-10000-1-100-1-1000000
χ3422222222-1222-12-1-1222222-1-122222-1-1-1-1-1-1-1-1-122-1-12-10022-2-2-2-200-1-1-1-12222-1-1-122-1-1-1-1-1-1-1000000000000-2-211-1-11122-2-2-1-1-1-1-1-1-1-1-2-2000000-2-20000000011110000110011000000
χ3522222222-1222-12-1-122-2-2-2-2-1-122222-1-1-1-1-1-1-1-1-122-1-12-100-2-22222001111-2-2-2-2-1-1-122-1-1-1-1-1-1-100000000000022-1-111-1-1-2-22211111111-2-2000000-2-200000000-1-1-1-10000110011000000
χ3622222222-1222-12-1-122-2-2-2-2-1-122222-1-1-1-1-1-1-1-1-122-1-12-100-2-2-2-2-2-2001111-2-2-2-2-1-1-122-1-1-1-1-1-1-1000000000000-2-2111111-2-2-2-21111111122000000220000000011110000-1-100-1-1000000
χ372222222-122-122-122-1222222-1-12-12-1222-1-1-1-1-1-1-1-122-1-122220000222222-1-1-1-1-122-1-1-1-1-1-1-1-1-100002-12-12-12-100002200-1-100-1-1-1-1-1-1-1-100222200000000-1-1-1-10000000000-1-100-1-10000
χ382222222-122-122-122-1222222-1-12-12-1222-1-1-1-1-1-1-1-122-1-1-2-2220000-2-22222-1-1-1-1-122-1-1-1-1-1-1-1-1-10000-21-21-21-2100002200-1-100-1-1-1-1-1-1-1-100-2-2-2-200000000111100000000001100110000
χ392222222-122-122-122-12-2-2-2-22-1-12-12-1222-1-1-1-1-1-1-1-122-1-122-2-2000022-2-2-2-21111-122-1-1-1-1-1-1-1-1-100002-12-12-12-10000-2-20011001111111100-2-2-2-200000000-1-1-1-100000000001100110000
χ402222222-122-122-122-12-2-2-2-22-1-12-12-1222-1-1-1-1-1-1-1-122-1-1-2-2-2-20000-2-2-2-2-2-21111-122-1-1-1-1-1-1-1-1-10000-21-21-21-210000-2-2001100111111110022220000000011110000000000-1-100-1-10000
χ41222222-122-12-122222-10000-12-1-12-1222-1222222-1-1-1-1-12220022222200000000-1-1-1-1-1-1-1-1-1-1-1-12222-12-12-12-12-1-122002200-1-1000000000000002200-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-100
χ42222222-122-12-122222-10000-12-1-12-1222-1222222-1-1-1-1-122200-2-2-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-12-12-12-1211-2-200-2-2001100000000000000-2-2001111-1-1-1-111110000000000001100
χ43222222-122-12-122222-10000-12-1-12-1222-1222222-1-1-1-1-12-2-2002222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21-21-21-21-2-1-122002200-1-100000000000000-2-20011111111-1-1-1-10000000000001100
χ44222222-122-12-122222-10000-12-1-12-1222-1222222-1-1-1-1-12-2-200-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-122221-21-21-21-211-2-200-2-20011000000000000002200-1-1-1-111111111000000000000-1-100
χ452222-2-222-1222-12-1-1222222-1-12-2-2-2-211-1-1-1111122-1-12-100-2-222-2-200-1-1-1-12222-111-2-2-1-1-11111000000000000221111-1-1-2-2-2-2-1-1-1-1111122000000-2-200000000-1-1110000-1-10011000000
χ462222-2-222-1222-12-1-1222222-1-12-2-2-2-211-1-1-1111122-1-12-100-2-2-2-22200-1-1-1-12222-111-2-2-1-1-11111000000000000-2-2-1-11111-2-222-1-1-1-11111-2-2000000220000000011-1-100001100-1-1000000
χ472222-2-222-1222-12-1-122-2-2-2-2-1-12-2-2-2-211-1-1-1111122-1-12-1002222-2-2001111-2-2-2-2-111-2-2-1-1-111110000000000002211-1-1-1-122-2-21111-1-1-1-1-2-20000002200000000-1-11100001100-1-1000000
χ482222-2-222-1222-12-1-122-2-2-2-2-1-12-2-2-2-211-1-1-1111122-1-12-10022-2-222001111-2-2-2-2-111-2-2-1-1-11111000000000000-2-2-1-1-1-11122221111-1-1-1-122000000-2-20000000011-1-10000-1-10011000000
χ492222-2-22-122-122-122-1222222-1-1-21-21-2-22-1-11111-1-122-1-122-2-20000-2-22222-1-1-1-1-1-2-211-1-1-1111100002-12-1-21-210000-2-2001100-1-1-1-111110022-2-200000000-1-11100000000001100-1-10000
χ502222-2-22-122-122-122-1222222-1-1-21-21-2-22-1-11111-1-122-1-1-2-2-2-20000222222-1-1-1-1-1-2-211-1-1-111110000-21-212-12-10000-2-2001100-1-1-1-1111100-2-2220000000011-1-10000000000-1-100110000
χ512222-2-22-122-122-122-12-2-2-2-22-1-1-21-21-2-22-1-11111-1-122-1-122220000-2-2-2-2-2-21111-1-2-211-1-1-1111100002-12-1-21-2100002200-1-1001111-1-1-1-100-2-22200000000-1-1110000000000-1-100110000
χ522222-2-22-122-122-122-12-2-2-2-22-1-1-21-21-2-22-1-11111-1-122-1-1-2-222000022-2-2-2-21111-1-2-211-1-1-111110000-21-212-12-100002200-1-1001111-1-1-1-10022-2-20000000011-1-100000000001100-1-10000
χ532222-2-2-122-12-122222-10000-12-11-21-2-2-2-122-2-2-2-2-1-1-1-1-12220022-2-2-2-200000000-11111-1-1-11111-2-2-2-2-12-121-21-2-1-1-2-2002200110000000000000022001111-1-111-1-111000000000000-1-100
χ542222-2-2-122-12-122222-10000-12-11-21-2-2-2-122-2-2-2-2-1-1-1-1-122200-2-222-2-200000000-11111-1-1-111112222-12-121-21-2112200-2-200-1-100000000000000-2-200-1-1-1-1-1-11111-1-10000000000001100
χ552222-2-2-122-12-122222-10000-12-11-21-2-2-2-122-2-2-2-2-1-1-1-1-12-2-20022-2-22200000000-11111-1-1-1111122221-21-2-12-12-1-1-2-20022001100000000000000-2-200-1-1-1-111-1-1-1-1110000000000001100
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χ1314-4-44-44-2-24-2-22-424-4220000-2-2122-2-2-44-2-2222-2-2-1-122124-4000000-440000000012-2-111-1-1-1-1110000-2-22222-2-200000000000000000000000000000000001-1-1100000000000000000000
χ1324-4-44-44-2-24-2-22-424-4220000-2-2122-2-2-44-2-2222-2-2-1-12212-440000004-40000000012-2-111-1-1-1-111000022-2-2-2-2220000000000000000000000000000000000-111-100000000000000000000
χ133888888-4-4-4-4-4-4-4-4-4-4-4-40000222-4-4-4-4-4-42222222222222000000000000000000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000000000
χ1348888-8-8-4-4-4-4-4-4-4-4-4-4-4-40000222444444222-2-2-2-2222222000000000000000000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000000000
χ13588-8-800-48-44-8-44-84-48400002-4-4000000-2440000-442-24-400000000000000000020000-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-800-4-4844-4-84-88-440000-4-4200000044400002-2-44-2-400000000000000000020000-22-200000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-800-4-4-444-4444-4-440000222000000-2-2-26-66-62-22-2-22000000000000000000-100001-11-33-330000000000000000000000000000000000000000000000000000000000000000000000
χ13888-8-800-4-4-444-4444-4-440000222000000-2-2-2-66-662-22-2-22000000000000000000-100001-113-33-30000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-800-48-44-84-4844-8-400002-4-4000000-24-400004-4-224400000000000000000020000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-800-4-484448-4-8-84-40000-4-4200000044-40000-224-4-2400000000000000000020000-2-2200000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-800-4-4-4444-4-4444-40000222000000-2-226-6-66-22-22-2-2000000000000000000-1000011-1-333-30000000000000000000000000000000000000000000000000000000000000000000000
χ1428-88-800-4-4-4444-4-4444-40000222000000-2-22-666-6-22-22-2-2000000000000000000-1000011-13-3-330000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-888-8-4-4-4-4-4444-44440000222-4-444-4422-222-2-2-2-2-2-22-2000000000000000000-12-22-2-111-1-1110000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-88-88-4-4-4-4-4444-4444000022244-4-44-422-2-2-222-2-2-2-22-2000000000000000000-1-22-22-11111-1-10000000000000000000000000000000000000000000000000000000000000000000000

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