Finite Group Databasebeta

← Group #11801833

Character table — Group #11801833

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order1222222222223366666666666666444444443444466666666666666612121212121212124444444444441212121212121212666612121212121212121212121244444444121212121212121212121212121212121212121244444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ911111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-11111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-11111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171-1-11-111-111-1-111111-1-1-1-1-111-1-11-11111-1-1-1-11i−ii−i1111-1-1-1-1111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1111-1-1-1-111-1-1i−ii−iii−i−iii−i−ii−i1-11-1i−iii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−i1-11-11-11-1
χ181-1-11-111-111-1-111111-1-1-1-1-111-1-11-11111-1-1-1-11i−ii−i1111-1-1-1-1111-1-1-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii1111-1-1-1-111-1-1i−ii−iii−i−iii−i−ii−i-11-11i−iii−i−iii−i−i11-1-1−i−iii−i−iii−i−iii−i−iii-11-11-11-11
χ191-1-11-111-111-1-111111-1-1-1-1-111-1-11-11111-1-1-1-11−ii−ii1111-1-1-1-1111-1-1-1-1−i−iii−i−iii11-1-1ii−i−iii−i−i1111-1-1-1-111-1-1−ii−ii−i−iii−i−iii−ii-11-11−ii−i−iii−i−iii11-1-1ii−i−iii−i−iii−i−iii−i−i-11-11-11-11
χ201-1-11-111-111-1-111111-1-1-1-1-111-1-11-11111-1-1-1-11−ii−ii1111-1-1-1-1111-1-1-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1111-1-1-1-111-1-1−ii−ii−i−iii−i−iii−ii1-11-1−ii−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iii1-11-11-11-1
χ211-1-11-111-111-1-111111-1-1-1-1-111-1-11-1-1-1-1-111111i−ii−i1111-1-1-1-1111-1-1-1-1ii−i−iii−i−i-1-111ii−i−iii−i−i-1-1-1-1111111-1-1i−ii−iii−i−iii−i−i−ii1-11-1−ii−i−iii−i−iii-1-111ii−i−iii−i−i−i−iii−i−iii1-11-1-11-11
χ221-1-11-111-111-1-111111-1-1-1-1-111-1-11-1-1-1-1-111111i−ii−i1111-1-1-1-1111-1-1-1-1ii−i−iii−i−i-1-111−i−iii−i−iii-1-1-1-1111111-1-1i−ii−iii−i−iii−i−i−ii-11-11−ii−i−iii−i−iii-1-111−i−iii−i−iiiii−i−iii−i−i-11-111-11-1
χ231-1-11-111-111-1-111111-1-1-1-1-111-1-11-1-1-1-1-111111−ii−ii1111-1-1-1-1111-1-1-1-1−i−iii−i−iii-1-111ii−i−iii−i−i-1-1-1-1111111-1-1−ii−ii−i−iii−i−iiii−i-11-11i−iii−i−iii−i−i-1-111ii−i−iii−i−i−i−iii−i−iii-11-111-11-1
χ241-1-11-111-111-1-111111-1-1-1-1-111-1-11-1-1-1-1-111111−ii−ii1111-1-1-1-1111-1-1-1-1−i−iii−i−iii-1-111−i−iii−i−iii-1-1-1-1111111-1-1−ii−ii−i−iii−i−iiii−i1-11-1i−iii−i−iii−i−i-1-111−i−iii−i−iiiii−i−iii−i−i1-11-1-11-11
χ251-1-11-111-1-1-11111111-1-1-1-1-111-1-11-11111-1-1-1-11i−i−ii-1-1-1-11111111-1-1-1-1ii−i−i−i−iii-1-111ii−i−i−i−iii1111-1-1-1-1-1-111−iii−iii−i−i−i−iii−ii1-1-11i−iii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-111-1-11
χ261-1-11-111-1-1-11111111-1-1-1-1-111-1-11-11111-1-1-1-11i−i−ii-1-1-1-11111111-1-1-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i1111-1-1-1-1-1-111−iii−iii−i−i−i−iii−ii-111-1i−iii−i−i−i−iii-1-111−i−iiiii−i−i−i−iiiii−i−i-111-1-111-1
χ271-1-11-111-1-1-11111111-1-1-1-1-111-1-11-11111-1-1-1-11−iii−i-1-1-1-11111111-1-1-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii1111-1-1-1-1-1-111i−i−ii−i−iiiii−i−ii−i-111-1−ii−i−iiiii−i−i-1-111ii−i−i−i−iiiii−i−i−i−iii-111-1-111-1
χ281-1-11-111-1-1-11111111-1-1-1-1-111-1-11-11111-1-1-1-11−iii−i-1-1-1-11111111-1-1-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i1111-1-1-1-1-1-111i−i−ii−i−iiiii−i−ii−i1-1-11−ii−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-111-1-11
χ291-1-11-111-1-1-11111111-1-1-1-1-111-1-11-1-1-1-1-111111i−i−ii-1-1-1-11111111-1-1-1-1ii−i−i−i−iii11-1-1ii−i−i−i−iii-1-1-1-11111-1-111−iii−iii−i−i−i−iiii−i1-1-11−ii−i−iiiii−i−i11-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1
χ301-1-11-111-1-1-11111111-1-1-1-1-111-1-11-1-1-1-1-111111i−i−ii-1-1-1-11111111-1-1-1-1ii−i−i−i−iii11-1-1−i−iiiii−i−i-1-1-1-11111-1-111−iii−iii−i−i−i−iiii−i-111-1−ii−i−iiiii−i−i11-1-1−i−iiiii−i−iii−i−i−i−iii-111-11-1-11
χ311-1-11-111-1-1-11111111-1-1-1-1-111-1-11-1-1-1-1-111111−iii−i-1-1-1-11111111-1-1-1-1−i−iiiii−i−i11-1-1ii−i−i−i−iii-1-1-1-11111-1-111i−i−ii−i−iiiii−i−i−ii-111-1i−iii−i−i−i−iii11-1-1ii−i−i−i−iii−i−iiiii−i−i-111-11-1-11
χ321-1-11-111-1-1-11111111-1-1-1-1-111-1-11-1-1-1-1-111111−iii−i-1-1-1-11111111-1-1-1-1−i−iiiii−i−i11-1-1−i−iiiii−i−i-1-1-1-11111-1-111i−i−ii−i−iiiii−i−i−ii1-1-11i−iii−i−i−i−iii11-1-1−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1
χ332222222222222-122-122-1-1-1-1-1222-100000000-1222222-1-122-1-1-1-1-1-1-1-1-12222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222200000000000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ342222222222222-122-122-1-1-1-1-1222-100000000-1222222-1-122-1-1-1-1-1-1-1-1-1222222220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000000000111111110000000011110000
χ352222222222222-122-122-1-1-1-1-1222-100000000-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200002222222200000000-1-1-1-111111111111100-2-2-2-200000000000000-1-1-1-1-1-1-1-10000000011110000
χ362222222222222-122-122-1-1-1-1-1222-100000000-1-2-2-2-222-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1111111111111002222000000000000001111111100000000-1-1-1-10000
χ37222222222222-12-1-12-1-122222-1-1-1222222222-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000022-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ38222222222222-12-1-12-1-122222-1-1-1222222222-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-111111111222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-20000-2-211111111-1-1-1-1000000000000000000000000
χ39222222222222-12-1-12-1-122222-1-1-12-2-2-2-2-2-2-2-2-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-2111111111111000000000000000000000000
χ40222222222222-12-1-12-1-122222-1-1-12-2-2-2-2-2-2-2-2-1-2-2-2-2-1-122-1-122-1-1-1-1-1-1-111111111-2-2-2-20000000011111111-1-1-1-1-2-2-2-21111111122000022-1-1-1-1-1-1-1-11111000000000000000000000000
χ4122222222-2-2-2-22-122-122-1-1-1-1-1222-100000000-122-2-2-2-211-2-211-1-1-1-1-1-1-12222-2-2-2-200002222-2-2-2-200000000111111-1-1-1-1-1-111110022-2-200000000000000-1-1-1-1111100000000-1-1110000
χ4222222222-2-2-2-22-122-122-1-1-1-1-1222-100000000-122-2-2-2-211-2-211-1-1-1-1-1-1-12222-2-2-2-20000-2-2-2-2222200000000111111-1-1-1-1-1-1111100-2-222000000000000001111-1-1-1-10000000011-1-10000
χ4322222222-2-2-2-22-122-122-1-1-1-1-1222-100000000-1-2-222-2-211-2-211-1-1-1-1-1-1-1-2-2-2-2222200002222-2-2-2-2000000001111-1-1111111-1-1-1-100-2-22200000000000000-1-1-1-111110000000011-1-10000
χ4422222222-2-2-2-22-122-122-1-1-1-1-1222-100000000-1-2-222-2-211-2-211-1-1-1-1-1-1-1-2-2-2-222220000-2-2-2-22222000000001111-1-1111111-1-1-1-10022-2-2000000000000001111-1-1-1-100000000-1-1110000
χ4522222222-2-2-2-2-12-1-12-1-122222-1-1-1222222222-122-2-211-2-211-2-2-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-200000000-1-1-1-1-1-1-1-11111-2-222-1-1-1-11111-2-2000022-1-1-1-111111111000000000000000000000000
χ4622222222-2-2-2-2-12-1-12-1-122222-1-1-1222222222-1-2-22211-2-211-2-2-1-1-1-1-1-1-11111-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-1111122-2-21111-1-1-1-1220000-2-21111-1-1-1-11111000000000000000000000000
χ4722222222-2-2-2-2-12-1-12-1-122222-1-1-12-2-2-2-2-2-2-2-2-122-2-211-2-211-2-2-1-1-1-1-1-1-1-1-1-1-11111222200000000111111111111-2-222-1-1-1-11111220000-2-21111-1-1-1-1-1-1-1-1000000000000000000000000
χ4822222222-2-2-2-2-12-1-12-1-122222-1-1-12-2-2-2-2-2-2-2-2-1-2-22211-2-211-2-2-1-1-1-1-1-1-11111-1-1-1-122220000000011111111111122-2-21111-1-1-1-1-2-2000022-1-1-1-11111-1-1-1-1000000000000000000000000
χ492222-2-2-2-22-22-222-2-222222-2-2-2-2-22-222-2-222-2-2200002-22-22-22-22-2-222-2-2000000002-22-20000000022-2-222-2-22-22-200000000000000000000000000002-22-2000000000000000000000000
χ502222-2-2-2-22-22-222-2-222222-2-2-2-2-22-2-2-222-2-222200002-22-22-22-22-2-222-2-200000000-22-2200000000-2-222-2-2222-22-20000000000000000000000000000-22-22000000000000000000000000
χ512222-2-2-2-22-22-2-12112-1-122-2-2-211-1-222-2-222-2-2-10000-112-2-112-2-111-1-1113−33−33−33−32-22-200000000-1-111-1-111-11-1100003−33−33−33−3000000003−33−33−33−3-11-11000000000000000000000000
χ522222-2-2-2-22-22-2-12112-1-122-2-2-211-1-222-2-222-2-2-10000-112-2-112-2-111-1-111−33−33−33−332-22-200000000-1-111-1-111-11-110000−33−33−33−3300000000−33−33−33−33-11-11000000000000000000000000
χ532222-2-2-2-22-22-2-12112-1-122-2-2-211-1-2-2-222-2-222-10000-112-2-112-2-111-1-1113−33−33−33−3-22-220000000011-1-111-1-1-11-1100003−33−33−33−300000000−33−33−33−331-11-1000000000000000000000000
χ542222-2-2-2-22-22-2-12112-1-122-2-2-211-1-2-2-222-2-222-10000-112-2-112-2-111-1-111−33−33−33−33-22-220000000011-1-111-1-1-11-110000−33−33−33−33000000003−33−33−33−31-11-1000000000000000000000000
χ552222-2-2-2-2-22-2222-2-222222-2-2-2-2-22-222-2-222-2-220000-22-22-22-222-2-222-2-200000000-22-220000000022-2-222-2-2-22-220000000000000000000000000000-22-22000000000000000000000000
χ562222-2-2-2-2-22-2222-2-222222-2-2-2-2-22-2-2-222-2-22220000-22-22-22-222-2-222-2-2000000002-22-200000000-2-222-2-222-22-2200000000000000000000000000002-22-2000000000000000000000000
χ572222-2-2-2-2-22-22-12112-1-122-2-2-211-1-222-2-222-2-2-100001-1-221-1-22-111-1-1113−33−3−33−33-22-2200000000-1-111-1-1111-11-100003−33−3−33−33000000003−33−3−33−331-11-1000000000000000000000000
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χ1344-4-444-4-44-444-44-2-4-4-2-4-422-222444-200000000-20000-442-24-4-22-22222-2-200000000000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1354-4-444-4-44-444-4-2-222-22222-222-2-2-2-200000000100002-22-2-22-221-1-1-1-111−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000-111-10000i3−i3−i3i3−i3i3i3−i300000000000000000000000000000000000000000000
χ1364-4-444-4-44-444-4-2-222-22222-222-2-2-2-200000000100002-22-2-22-221-1-1-1-1112i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000-111-10000−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000000000000000
χ1374-4-44-444-444-4-4-2-2-2-2-222222-2-222-220000000014i−4i4i−4i-2-2-2-22222111-1-1-1-1−2i−2i2i2i−2i−2i2i2i0000000000000000000011-1-1−2i2i−2i2iii−i−iii−i−i00000000000000000000000000000000000000000000
χ1384-4-44-444-444-4-4-2-2-2-2-222222-2-222-22000000001−4i4i−4i4i-2-2-2-22222111-1-1-1-12i2i−2i−2i2i2i−2i−2i0000000000000000000011-1-12i−2i2i−2i−i−iii−i−iii00000000000000000000000000000000000000000000
χ1394-4-44-444-4-4-444-2-2-2-2-222222-2-222-220000000014i−4i−4i4i2222-2-2-2-2111-1-1-1-1−2i−2i2i2i2i2i−2i−2i00000000000000000000-1-1112i−2i−2i2iii−i−i−i−iii00000000000000000000000000000000000000000000
χ1404-4-44-444-4-4-444-2-2-2-2-222222-2-222-22000000001−4i4i4i−4i2222-2-2-2-2111-1-1-1-12i2i−2i−2i−2i−2i2i2i00000000000000000000-1-111−2i2i2i−2i−i−iiiii−i−i00000000000000000000000000000000000000000000
χ14188-8-888-8-80000-4-4-444-44-444-44-444-4000000002000000000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-8-8-8880000-4-44-44-44-44-44-44-444000000002000000000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-88-88-88-80000-4-44-444-44-444-4-444-4000000002000000000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-88-8-88-880000-4-4-4444-44-4-4-444-444000000002000000000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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