Finite Group Databasebeta

← Group #11783238

Character table — Group #11783238

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222222233444466666666666666344446666666121212121212121288888888888888881212121212121212121212121212121212121212222222224444444424242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111-1-11-1-1111-1-111111-1-1-1-111-1-1-1-11ii−i−i11-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−i
χ10111-1-11-1-1111-1-111111-1-1-1-111-1-1-1-11ii−i−i11-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii−i−iii
χ11111-1-11-1-1111-1-111111-1-1-1-111-1-1-1-11ii−i−i11-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−i−i−iii
χ12111-1-11-1-1111-1-111111-1-1-1-111-1-1-1-11ii−i−i11-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii−i−iii-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iiiii−i−i
χ13111-1-11-1-1111-1-111111-1-1-1-111-1-1-1-11−i−iii11-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii1111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii
χ14111-1-11-1-1111-1-111111-1-1-1-111-1-1-1-11−i−iii11-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-11111−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−iii−i−i
χ15111-1-11-1-1111-1-111111-1-1-1-111-1-1-1-11−i−iii11-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iii-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i
χ16111-1-11-1-1111-1-111111-1-1-1-111-1-1-1-11−i−iii11-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii
χ171-1-11-111-11111-1-1-1-1-1-111-1-111-1-1111i−ii−i-1-111-11-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-1ii−i−iii−i−i11-1-111-1-11-11-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11-11-11-11-11-1i−ii−i
χ181-1-11-111-11111-1-1-1-1-1-111-1-111-1-1111i−ii−i-1-111-11-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i1-11-1ii−i−iii−i−i-1-111-1-1111-11-1-11-11ii−i−iii−i−i−i−iii−i−iii-11-111-11-1-11-11−ii−ii
χ191-1-11-111-11111-1-1-1-1-1-111-1-111-1-1111i−ii−i-1-111-11-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i1-11-1ii−i−iii−i−i-1-111-1-111-11-111-11-1−i−iii−i−iiiii−i−iii−i−i-11-11-11-111-11-1−ii−ii
χ201-1-11-111-11111-1-1-1-1-1-111-1-111-1-1111i−ii−i-1-111-11-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i1-11-1ii−i−iii−i−i11-1-111-1-1-11-11-11-11−i−iii−i−iii−i−iii−i−iii1-11-1-11-11-11-11i−ii−i
χ211-1-11-111-11111-1-1-1-1-1-111-1-111-1-1111−ii−ii-1-111-11-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii1-11-1−i−iii−i−iii11-1-111-1-1-11-11-11-11ii−i−iii−i−iii−i−iii−i−i1-11-1-11-11-11-11−ii−ii
χ221-1-11-111-11111-1-1-1-1-1-111-1-111-1-1111−ii−ii-1-111-11-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii1-11-1−i−iii−i−iii-1-111-1-111-11-111-11-1ii−i−iii−i−i−i−iii−i−iii-11-11-11-111-11-1i−ii−i
χ231-1-11-111-11111-1-1-1-1-1-111-1-111-1-1111−ii−ii-1-111-11-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii1-11-1−i−iii−i−iii-1-111-1-1111-11-1-11-11−i−iii−i−iiiii−i−iii−i−i-11-111-11-1-11-11i−ii−i
χ241-1-11-111-11111-1-1-1-1-1-111-1-111-1-1111−ii−ii-1-111-11-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-1−i−iii−i−iii11-1-111-1-11-11-11-11-1−i−iii−i−iii−i−iii−i−iii1-11-11-11-11-11-1−ii−ii
χ251-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-111-1-11-1-1-1-111111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111−iii−i−iii−iii−i−i−i−iiiii−i−i−i−iii1-1-11−iii−i−iii−i1-1-11
χ261-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-111-1-11-1-1-1-111111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−iiii−i−i−i−iii−i−iiiii−i−i-111-1−iii−ii−i−ii-111-1
χ271-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-111-1-11-1-1-1-111111-1-111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−i−i−iiiii−i−iii−i−i−i−iii-111-1i−i−ii−iii−i-111-1
χ281-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-111-1-11-1-1-1-111111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111i−i−iii−i−ii−i−iiiii−i−i−i−iiiii−i−i1-1-11i−i−iii−i−ii1-1-11
χ291-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-11-111-1-1-1-1-111111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-1-11-1-11111-1-111-1-1-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11i−i−iii−i−ii-111-1
χ301-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-11-111-1-1-1-1-111111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-11-1-11-1-11111-1-1-1-11111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-111-1i−i−ii−iii−i1-1-11
χ311-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-11-111-1-1-1-1-111111-1-111-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-11-1-11-1-11111-1-1-1-11111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-111-1−iii−ii−i−ii1-1-11
χ321-1-1-111-11111-11-1-1-1-1-1-1-1111111-1-11-111-1-1-1-1-111111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-1-11-1-11111-1-111-1-1-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11−iii−i−iii−i-111-1
χ332222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000000022222222000000000000000000000000-2-2-2-2000000000000
χ342222222222-2-2-2-222222222222222200002222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ35222222222-1222222-1-12-12-12-12-12-1-12222-1-1-1-1-1-1-12-12-12-12-100000000222222222-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ36222222222-1222222-1-12-12-12-12-12-1-12222-1-1-1-1-1-1-12-12-12-12-100000000-2-2-2-2-2-2-2-22-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000000011110000
χ37222222222-1222222-1-12-12-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-12-12-12-12-10000000022222222-21-21-21-21-1-1-1-111111111000000000000-2-2-2-200000000-1-1-1-1-1-1-1-10000000011110000
χ38222222222-1222222-1-12-12-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-12-12-12-12-100000000-2-2-2-2-2-2-2-2-21-21-21-21-1-1-1-1111111110000000000002222000000001111111100000000-1-1-1-10000
χ3922222222-122222-1-122-12-12-12-12-12-12222-1-1-1-1-1-1-1-12-12-12-122222222200000000-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ4022222222-122222-1-122-12-12-12-12-12-12222-1-1-1-1-1-1-1-12-12-12-12-2-2-2-2-2-2-2-200000000-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000111100000000
χ4122222222-122222-1-122-12-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-12-12-12-1222222222000000001-21-21-21-2-1-1-1-11111111100000000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000111100000000
χ4222222222-122222-1-122-12-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-12-12-12-12-2-2-2-2-2-2-2-2000000001-21-21-21-2-1-1-1-111111111000000002222000011111111000000000000-1-1-1-100000000
χ43222-2-22-2-222-222-22222-2-2-2-222-2-2-2-22000022-2-2-22-2-2-22222-2-2000000000000000000000000-2-222000000002222-2-2-2-2000000000000000000000000-2-222000000000000
χ44222-2-22-2-222-222-22222-2-2-2-222-2-2-2-22000022-2-2-22-2-2-22222-2-2000000000000000000000000-2-22200000000-2-2-2-2222200000000000000000000000022-2-2000000000000
χ45222-2-22-2-22-12-2-2222-1-1-21-212-1-21-21-12i2i−2i−2i-1-1111-112-1-21-212-1000000002222-2-2-2-22i−i2i−i−2ii−2ii-1-111−i−i−i−iiiii0000000000002i2i−2i−2i00000000-1-1-1-1111100000000−i−iii0000
χ46222-2-22-2-22-12-2-2222-1-1-21-212-1-21-21-12i2i−2i−2i-1-1111-112-1-21-212-100000000-2-2-2-222222i−i2i−i−2ii−2ii-1-111−i−i−i−iiiii000000000000−2i−2i2i2i000000001111-1-1-1-100000000ii−i−i0000
χ47222-2-22-2-22-12-2-2222-1-1-21-212-1-21-21-1−2i−2i2i2i-1-1111-112-1-21-212-1000000002222-2-2-2-2−2ii−2ii2i−i2i−i-1-111iiii−i−i−i−i000000000000−2i−2i2i2i00000000-1-1-1-1111100000000ii−i−i0000
χ48222-2-22-2-22-12-2-2222-1-1-21-212-1-21-21-1−2i−2i2i2i-1-1111-112-1-21-212-100000000-2-2-2-22222−2ii−2ii2i−i2i−i-1-111iiii−i−i−i−i0000000000002i2i−2i−2i000000001111-1-1-1-100000000−i−iii0000
χ49222-2-22-2-2-122-2-22-1-1221-21-2-121-21-2-12i2i−2i−2i-1-1111-11-121-21-2-122222-2-2-2-200000000−i2i−i2ii−2ii−2i-1-111−i−i−i−iiiii000000002i2i−2i−2i0000-1-1-1-11111000000000000−i−iii00000000
χ50222-2-22-2-2-122-2-22-1-1221-21-2-121-21-2-12i2i−2i−2i-1-1111-11-121-21-2-12-2-2-2-2222200000000−i2i−i2ii−2ii−2i-1-111−i−i−i−iiiii00000000−2i−2i2i2i00001111-1-1-1-1000000000000ii−i−i00000000
χ51222-2-22-2-2-122-2-22-1-1221-21-2-121-21-2-1−2i−2i2i2i-1-1111-11-121-21-2-122222-2-2-2-200000000i−2ii−2i−i2i−i2i-1-111iiii−i−i−i−i00000000−2i−2i2i2i0000-1-1-1-11111000000000000ii−i−i00000000
χ52222-2-22-2-2-122-2-22-1-1221-21-2-121-21-2-1−2i−2i2i2i-1-1111-11-121-21-2-12-2-2-2-2222200000000i−2ii−2i−i2i−i2i-1-111iiii−i−i−i−i000000002i2i−2i−2i00001111-1-1-1-1000000000000−i−iii00000000
χ5322-222-2-2-22200002-22-22222-2-2-2-2-2-2200002-22-22-2-2000000002−22−22−22−22−22−22−22−2000000000000000000002-22-22-22-2000000002−22−22−22−22−22−22−22−20000000000000000
χ5422-222-2-2-22200002-22-22222-2-2-2-2-2-2200002-22-22-2-2000000002−22−22−22−2−22−22−22−2200000000000000000000-22-22-22-22000000002−22−22−22−2−22−22−22−220000000000000000
χ5522-222-2-2-22200002-22-22222-2-2-2-2-2-2200002-22-22-2-200000000−22−22−22−222−22−22−22−200000000000000000000-22-22-22-2200000000−22−22−22−222−22−22−22−20000000000000000
χ5622-222-2-2-22200002-22-22222-2-2-2-2-2-2200002-22-22-2-200000000−22−22−22−22−22−22−22−22000000000000000000002-22-22-22-200000000−22−22−22−22−22−22−22−220000000000000000
χ5722-2-2-2-2222200002-22-2-2-2-2-2-2-22222200002-2-22-2-22000000002−22−2−22−222−22−2−22−22000000000000000000002-22-2-22-22000000002−22−2−22−222−22−2−22−220000000000000000
χ5822-2-2-2-2222200002-22-2-2-2-2-2-2-22222200002-2-22-2-22000000002−22−2−22−22−22−222−22−200000000000000000000-22-222-22-2000000002−22−2−22−22−22−222−22−20000000000000000
χ5922-2-2-2-2222200002-22-2-2-2-2-2-2-22222200002-2-22-2-2200000000−22−222−22−22−22−2−22−2200000000000000000000-22-222-22-200000000−22−222−22−22−22−2−22−220000000000000000
χ6022-2-2-2-2222200002-22-2-2-2-2-2-2-22222200002-2-22-2-2200000000−22−222−22−2−22−222−22−2000000000000000000002-22-2-22-2200000000−22−222−22−2−22−222−22−20000000000000000
χ612-222-2-2-22220000-22-2222-2-2-2-222-2-220000-222-2-2-2200000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000000000002-2-222-2-2200000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ622-222-2-2-22220000-22-2222-2-2-2-222-2-220000-222-2-2-2200000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000000000000000-222-2-222-200000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ632-222-2-2-22220000-22-2222-2-2-2-222-2-220000-222-2-2-2200000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000000000000000-222-2-222-200000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000000000
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χ682-22-22-22-2220000-22-22-2-222-2-2-2-22220000-22-222-2-200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000000000002-2-22-222-200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
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χ722-2-22-222-22-122-2-2-2-2112-1-212-1-212-1-12i−2i2i−2i11-1-11-112-12-1-21-2100000000−2i−2i2i2i−2i−2i2i2i2i−i−2ii2i−i−2ii-11-11−i−iii−i−iii000000000000-22-2200000000ii−i−iii−i−i000000001-11-10000
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χ1194-4-44-444-4-2-244-4-42222-2-222-2-222-2-214i−4i4i−4i-1-111-11-1-2-2-2-222220000000000000000−2i−2i2i2i−2i−2i2i2i1-11-1ii−i−iii−i−i000000000000000000000000000000000000000000000000
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χ1264-4-4-444-44-2-24-44-4222222-2-2-2-2-2-2221-444-4-1-1-1-1111-2-222-2-222000000000000000022-2-2-2-2221-1-11-1-11111-1-1000000000000000000000000000000000000000000000000
χ1274-4-4-444-44-2-2-44-44222222-2-2-2-2-2-22210000-1-1-1-111122-2-222-2-2000000000000000000000000-111-13-3-33-333-3000000000000000000000000000000000000000000000000
χ1284-4-4-444-44-2-2-44-44222222-2-2-2-2-2-22210000-1-1-1-111122-2-222-2-2000000000000000000000000-111-1-333-33-3-33000000000000000000000000000000000000000000000000
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χ1328-88-88-88-8-4-400004-44-444-4-44444-4-420000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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