Finite Group Databasebeta

← Group #11801993

Character table — Group #11801993

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order12222222222233666666666666664444444434444666666666666666121212121212121244444444444412121212121212126666121212121212121212121212224444441212121212121212121212121212121212121212222222226612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1011111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1111111111-1-1-1-11111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1211111111-1-1-1-11111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1311111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1411111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ171-1-1111-1-111-1-1111-111-1-1-1-1-1111-1-1iiii−i−i−i−i1i−ii−i11-1-111-1-1111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-11-11-11-111-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-11-11-1i−ii−i
χ181-1-1111-1-111-1-1111-111-1-1-1-1-1111-1-1iiii−i−i−i−i1i−ii−i11-1-111-1-1111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i-111-11-1-1111-1-111-1-1ii−i−i−i−iii−i−iii-1-111-1-111-11-11−ii−ii
χ191-1-1111-1-111-1-1111-111-1-1-1-1-1111-1-1iiii−i−i−i−i1−ii−ii11-1-111-1-1111-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-11-11-11-11-1-111-1-111ii−i−iii−i−iii−i−i11-1-111-1-1-11-11−ii−ii
χ201-1-1111-1-111-1-1111-111-1-1-1-1-1111-1-1iiii−i−i−i−i1−ii−ii11-1-111-1-1111-1-1-1-1−i−iii−i−iiiii−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii1-1-11-111-1-1-111-1-111ii−i−i−i−iii−i−iii-1-111-1-1111-11-1i−ii−i
χ211-1-1111-1-111-1-1111-111-1-1-1-1-1111-1-1−i−i−i−iiiii1i−ii−i11-1-111-1-1111-1-1-1-1ii−i−iii−i−i−i−iiiii−i−iii−i−i−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i1-1-11-111-1-1-111-1-111−i−iiiii−i−iii−i−i-1-111-1-1111-11-1−ii−ii
χ221-1-1111-1-111-1-1111-111-1-1-1-1-1111-1-1−i−i−i−iiiii1i−ii−i11-1-111-1-1111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-11-11-11-11-1-111-1-111−i−iii−i−iii−i−iii11-1-111-1-1-11-11i−ii−i
χ231-1-1111-1-111-1-1111-111-1-1-1-1-1111-1-1−i−i−i−iiiii1−ii−ii11-1-111-1-1111-1-1-1-1−i−iii−i−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii-111-11-1-1111-1-111-1-1−i−iiiii−i−iii−i−i-1-111-1-111-11-11i−ii−i
χ241-1-1111-1-111-1-1111-111-1-1-1-1-1111-1-1−i−i−i−iiiii1−ii−ii11-1-111-1-1111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-11-11-11-111-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-11-11-1−ii−ii
χ251-1-1111-1-1-1-111111-111-1-1-1-1-1111-1-1iiii−i−i−i−i1i−i−ii-1-111-1-111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii1-11-1-11-1111-1-1-1-111−i−iiiii−i−i−i−iii11-1-1-1-1111-1-11−iii−i
χ261-1-1111-1-1-1-111111-111-1-1-1-1-1111-1-1iiii−i−i−i−i1i−i−ii-1-111-1-111111-1-1-1-1ii−i−i−i−iii−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-111-1-111-111-1-1-1-111−i−iii−i−iiiii−i−i-1-11111-1-1-111-1i−i−ii
χ271-1-1111-1-1-1-111111-111-1-1-1-1-1111-1-1iiii−i−i−i−i1−iii−i-1-111-1-111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-11-111-11-1-1-11111-1-1−i−iiiii−i−i−i−iii11-1-1-1-111-111-1i−i−ii
χ281-1-1111-1-1-1-111111-111-1-1-1-1-1111-1-1iiii−i−i−i−i1−iii−i-1-111-1-111111-1-1-1-1−i−iiiii−i−i−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i1-1-111-1-11-1-11111-1-1−i−iii−i−iiiii−i−i-1-11111-1-11-1-11−iii−i
χ291-1-1111-1-1-1-111111-111-1-1-1-1-1111-1-1−i−i−i−iiiii1i−i−ii-1-111-1-111111-1-1-1-1ii−i−i−i−iiiii−i−iii−i−i−i−iii−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii1-1-111-1-11-1-11111-1-1ii−i−iii−i−i−i−iii-1-11111-1-11-1-11i−i−ii
χ301-1-1111-1-1-1-111111-111-1-1-1-1-1111-1-1−i−i−i−iiiii1i−i−ii-1-111-1-111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-11-111-11-1-1-11111-1-1ii−i−i−i−iiiii−i−i11-1-1-1-111-111-1−iii−i
χ311-1-1111-1-1-1-111111-111-1-1-1-1-1111-1-1−i−i−i−iiiii1−iii−i-1-111-1-111111-1-1-1-1−i−iiiii−i−iii−i−iii−i−i−i−iii−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-111-1-111-111-1-1-1-111ii−i−iii−i−i−i−iii-1-11111-1-1-111-1−iii−i
χ321-1-1111-1-1-1-111111-111-1-1-1-1-1111-1-1−i−i−i−iiiii1−iii−i-1-111-1-111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i1-11-1-11-1111-1-1-1-111ii−i−i−i−iiiii−i−i11-1-1-1-1111-1-11i−i−ii
χ332222222222222-122-1-1-122-1-122-12-100000000-122222222-1-1-1-1-1-1-1-1-1-1-12222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022000000000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ342222222222222-122-1-1-122-1-122-12-100000000-122222222-1-1-1-1-1-1-1-1-1-1-1222222220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2000000000000111111110000000011110000
χ352222222222222-122-1-1-122-1-122-12-100000000-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200002222222200000000-1-1-1-1111111111111-2-20000-2-2000000000000-1-1-1-1-1-1-1-10000000011110000
χ362222222222222-122-1-1-122-1-122-12-100000000-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1111111111111220000220000000000001111111100000000-1-1-1-10000
χ37222222222222-12-1-1222-1-122-1-12-1222222222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100222200-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ38222222222222-12-1-1222-1-122-1-12-1222222222-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-111111111222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-2-2-20011111111-1-1-1-1000000000000000000000000
χ39222222222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111-1-1-1-12222-1-1-1-1-1-1-1-100-2-2-2-200111111111111000000000000000000000000
χ40222222222222-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-111111111-2-2-2-20000000011111111-1-1-1-1-2-2-2-21111111100222200-1-1-1-1-1-1-1-11111000000000000000000000000
χ4122222222-2-2-2-22-122-1-1-122-1-122-12-100000000-122-2-2-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-200002222-2-2-2-2000000001111-1-111-1-1-1-11111220000-2-2000000000000-1-1-1-1111100000000-1-1110000
χ4222222222-2-2-2-22-122-1-1-122-1-122-12-100000000-122-2-2-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-22222000000001111-1-111-1-1-1-11111-2-20000220000000000001111-1-1-1-10000000011-1-10000
χ4322222222-2-2-2-22-122-1-1-122-1-122-12-100000000-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-2222200002222-2-2-2-200000000111111-1-11111-1-1-1-1-2-2000022000000000000-1-1-1-111110000000011-1-10000
χ4422222222-2-2-2-22-122-1-1-122-1-122-12-100000000-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-222220000-2-2-2-2222200000000111111-1-11111-1-1-1-1220000-2-20000000000001111-1-1-1-100000000-1-1110000
χ4522222222-2-2-2-2-12-1-1222-1-122-1-12-1222222222-122-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-200000000-1-1-1-1-1-1-1-1111122-2-2-1-1-1-111110022-2-200-1-1-1-111111111000000000000000000000000
χ4622222222-2-2-2-2-12-1-1222-1-122-1-12-1222222222-1-2-2221111-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-100-2-222001111-1-1-1-11111000000000000000000000000
χ4722222222-2-2-2-2-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-122-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111122220000000011111111111122-2-2-1-1-1-1111100-2-222001111-1-1-1-1-1-1-1-1000000000000000000000000
χ4822222222-2-2-2-2-12-1-1222-1-122-1-12-12-2-2-2-2-2-2-2-2-1-2-2221111-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1222200000000111111111111-2-2221111-1-1-1-10022-2-200-1-1-1-11111-1-1-1-1000000000000000000000000
χ492222-2-2-2-22-22-2222-2-2-2-22222-2-22-2-22i2i−2i−2i2i2i−2i−2i200002-22-22-22-22-2-2-2-222000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i2-22-200000000000000000000000000002i−2i2i−2i000000000000000000000000
χ502222-2-2-2-22-22-2222-2-2-2-22222-2-22-2-2−2i−2i2i2i−2i−2i2i2i200002-22-22-22-22-2-2-2-22200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000000000000000−2i2i−2i2i000000000000000000000000
χ512222-2-2-2-22-22-2-12-11-2-2-2-1-1221121-22i2i−2i−2i2i2i−2i−2i-10000-11-112-22-2-11111-1-1−i3i3−i3i3−i3i3−i3i32i−2i2i−2i00000000−i−iii−i−iii-11-110000−i3i3−i3i3−i3i3−i3i3000000003−33−33−33−3−ii−ii000000000000000000000000
χ522222-2-2-2-22-22-2-12-11-2-2-2-1-1221121-22i2i−2i−2i2i2i−2i−2i-10000-11-112-22-2-11111-1-1i3−i3i3−i3i3−i3i3−i32i−2i2i−2i00000000−i−iii−i−iii-11-110000i3−i3i3−i3i3−i3i3−i300000000−33−33−33−33−ii−ii000000000000000000000000
χ532222-2-2-2-22-22-2-12-11-2-2-2-1-1221121-2−2i−2i2i2i−2i−2i2i2i-10000-11-112-22-2-11111-1-1−i3i3−i3i3−i3i3−i3i3−2i2i−2i2i00000000ii−i−iii−i−i-11-110000−i3i3−i3i3−i3i3−i3i300000000−33−33−33−33i−ii−i000000000000000000000000
χ542222-2-2-2-22-22-2-12-11-2-2-2-1-1221121-2−2i−2i2i2i−2i−2i2i2i-10000-11-112-22-2-11111-1-1i3−i3i3−i3i3−i3i3−i3−2i2i−2i2i00000000ii−i−iii−i−i-11-110000i3−i3i3−i3i3−i3i3−i3000000003−33−33−33−3i−ii−i000000000000000000000000
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χ1324-4-4444-4-444-4-4-2-2-22-2-222222-2-2-222000000001−4i4i−4i4i-2-222-2-222111-1-1-1-12i2i−2i−2i2i2i−2i−2i0000000000000000000011-1-12i−2i2i−2i−i−iii−i−iii00000000000000000000000000000000000000000000
χ1334-4-4444-4-4-4-444-2-2-22-2-222222-2-2-2220000000014i−4i−4i4i22-2-222-2-2111-1-1-1-1−2i−2i2i2i2i2i−2i−2i00000000000000000000-1-111−2i2i2i−2iii−i−i−i−iii00000000000000000000000000000000000000000000
χ1344-4-4444-4-4-4-444-2-2-22-2-222222-2-2-222000000001−4i4i4i−4i22-2-222-2-2111-1-1-1-12i2i−2i−2i−2i−2i2i2i00000000000000000000-1-1112i−2i−2i2i−i−iiiii−i−i00000000000000000000000000000000000000000000
χ1354-4-44-4-4444-4-444-24422-2-4-422-4-4-24-200000000-200004-4-44-222-2-222-2-2220000000000000000000000000000-222-200000000000000000000000000000000000000000000000000000000
χ1364-4-44-4-4444-4-44-2-2-2-222-2222222-2-2-20000000010000-222-2-222-21-1-111-1-123−23−232323−23−2323000000000000000000001-1-110000−333−3−333−300000000000000000000000000000000000000000000
χ1374-4-44-4-4444-4-44-2-2-2-222-2222222-2-2-20000000010000-222-2-222-21-1-111-1-1−232323−23−232323−23000000000000000000001-1-1100003−3−333−3−3300000000000000000000000000000000000000000000
χ1384-4-44-4-444-444-44-24422-2-4-422-4-4-24-200000000-20000-444-42-2-22-222-2-22200000000000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1394-4-44-4-444-444-4-2-2-2-222-2222222-2-2-200000000100002-2-222-2-221-1-111-1-123−23−2323−232323−2300000000000000000000-111-10000−333−33−3−3300000000000000000000000000000000000000000000
χ1404-4-44-4-444-444-4-2-2-2-222-2222222-2-2-200000000100002-2-222-2-221-1-111-1-1−232323−2323−23−232300000000000000000000-111-100003−3−33−333−300000000000000000000000000000000000000000000
χ14188-8-88-88-80000-4-44-4-44-4-44-44-44444000000002000000000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-8-88-880000-4-4444-44-44-444-44-4-4000000002000000000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-88-8-880000-4-444-4444-44-4-444-4-4000000002000000000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8-888-80000-4-44-44-4-44-44-44-4444000000002000000000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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