Finite Group Databasebeta

← Group #11801992

Character table — Group #11801992

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order1222222222223366666666666666444444443444466666666666666612121212121212122222222244441212121212121212666612121212121212121212121222444444666666666666121212121212121244444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-11111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ1211111111-1-1-1-11111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1411111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ1611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111
χ171-11-1-111-111-1-11111-1-1111-1-1-11-1-1-1iiii−i−i−i−i1i−ii−i11-1-111-1-1111-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-11-1i−ii−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−ii−ii−i1-11-1
χ181-11-1-111-111-1-11111-1-1111-1-1-11-1-1-1iiii−i−i−i−i1i−ii−i11-1-111-1-1111-1-1-1-1ii−i−iii−i−i-1-111-1-111ii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-11-1−ii−ii11-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iii−ii−ii-11-11
χ191-11-1-111-111-1-11111-1-1111-1-1-11-1-1-1iiii−i−i−i−i1−ii−ii11-1-111-1-1111-1-1-1-1−i−iii−i−iii11-1-111-1-1ii−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-11-11−ii−ii-1-11111-1-111-1-1-1-111ii−i−iii−i−iii−i−i−ii−ii-11-11
χ201-11-1-111-111-1-11111-1-1111-1-1-11-1-1-1iiii−i−i−i−i1−ii−ii11-1-111-1-1111-1-1-1-1−i−iii−i−iii-1-111-1-111ii−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-11-11i−ii−i-1-111-1-111-1-111-1-111ii−i−i−i−iii−i−iiii−ii−i1-11-1
χ211-11-1-111-111-1-11111-1-1111-1-1-11-1-1-1−i−i−i−iiiii1i−ii−i11-1-111-1-1111-1-1-1-1ii−i−iii−i−i11-1-111-1-1−i−iii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-11-11i−ii−i-1-11111-1-111-1-1-1-111−i−iii−i−iii−i−iiii−ii−i-11-11
χ221-11-1-111-111-1-11111-1-1111-1-1-11-1-1-1−i−i−i−iiiii1i−ii−i11-1-111-1-1111-1-1-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-11-11−ii−ii-1-111-1-111-1-111-1-111−i−iiiii−i−iii−i−i−ii−ii1-11-1
χ231-11-1-111-111-1-11111-1-1111-1-1-11-1-1-1−i−i−i−iiiii1−ii−ii11-1-111-1-1111-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-11-1−ii−ii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−ii−ii1-11-1
χ241-11-1-111-111-1-11111-1-1111-1-1-11-1-1-1−i−i−i−iiiii1−ii−ii11-1-111-1-1111-1-1-1-1−i−iii−i−iii-1-111-1-111−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-11-1i−ii−i11-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−ii−ii−i-11-11
χ251-11-1-111-1-1-1111111-1-1111-1-1-11-1-1-1iiii−i−i−i−i1i−i−ii-1-111-1-111111-1-1-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-111-1i−i−ii-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiii−i−ii1-1-11
χ261-11-1-111-1-1-1111111-1-1111-1-1-11-1-1-1iiii−i−i−i−i1i−i−ii-1-111-1-111111-1-1-1-1ii−i−i−i−iii-1-11111-1-1−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-111-1−iii−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−i−iii−i-111-1
χ271-11-1-111-1-1-1111111-1-1111-1-1-11-1-1-1iiii−i−i−i−i1−iii−i-1-111-1-111111-1-1-1-1−i−iiiii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i1-1-11−iii−i11-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iii−iii−i-111-1
χ281-11-1-111-1-1-1111111-1-1111-1-1-11-1-1-1iiii−i−i−i−i1−iii−i-1-111-1-111111-1-1-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i1-1-11i−i−ii11-1-1-1-11111-1-1-1-111−i−iii−i−iiiii−i−ii−i−ii1-1-11
χ291-11-1-111-1-1-1111111-1-1111-1-1-11-1-1-1−i−i−i−iiiii1i−i−ii-1-111-1-111111-1-1-1-1ii−i−i−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii1-1-11i−i−ii11-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−ii−i−ii-111-1
χ301-11-1-111-1-1-1111111-1-1111-1-1-11-1-1-1−i−i−i−iiiii1i−i−ii-1-111-1-111111-1-1-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii1-1-11−iii−i11-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−iii−i1-1-11
χ311-11-1-111-1-1-1111111-1-1111-1-1-11-1-1-1−i−i−i−iiiii1−iii−i-1-111-1-111111-1-1-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-111-1−iii−i-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−iii−i1-1-11
χ321-11-1-111-1-1-1111111-1-1111-1-1-11-1-1-1−i−i−i−iiiii1−iii−i-1-111-1-111111-1-1-1-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-111-1i−i−ii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iiii−i−ii-111-1
χ332222222222222-12222-1-1-12-1-12-1-1200000000-122222222-1-1-1-1-1-1-1-1-1-1-12222222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ342222222222222-12222-1-1-12-1-12-1-1200000000-122222222-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000011111111000000000000000011110000
χ352222222222222-12222-1-1-12-1-12-1-1200000000-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222000000000000-1-1-1-11111111111110000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000000011110000
χ362222222222222-12222-1-1-12-1-12-1-1200000000-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000022220000111111110000000000000000-1-1-1-10000
χ37222222222222-12-1-1-1-1222-122-122-122222222-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-1-1-1-1-10000000000000000
χ38222222222222-12-1-1-1-1222-122-122-122222222-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-111111111000000002222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-200001111000000001111-1-1-1-10000000000000000
χ39222222222222-12-1-1-1-1222-122-122-1-2-2-2-2-2-2-2-2-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000111100000000111111110000000000000000
χ40222222222222-12-1-1-1-1222-122-122-1-2-2-2-2-2-2-2-2-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-11111111100000000-2-2-2-211111111-1-1-1-1-2-2-2-21111111122220000-1-1-1-100000000-1-1-1-111110000000000000000
χ4122222222-2-2-2-22-12222-1-1-12-1-12-1-1200000000-122-2-2-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-20000000000001111-1-111-1-1-1-11111000022-2-20000-1-1-1-111110000000000000000-1-1110000
χ4222222222-2-2-2-22-12222-1-1-12-1-12-1-1200000000-122-2-2-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222220000000000001111-1-111-1-1-1-111110000-2-22200001111-1-1-1-1000000000000000011-1-10000
χ4322222222-2-2-2-22-12222-1-1-12-1-12-1-1200000000-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-2000000000000111111-1-11111-1-1-1-10000-2-2220000-1-1-1-11111000000000000000011-1-10000
χ4422222222-2-2-2-22-12222-1-1-12-1-12-1-1200000000-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222000000000000111111-1-11111-1-1-1-1000022-2-200001111-1-1-1-10000000000000000-1-1110000
χ4522222222-2-2-2-2-12-1-1-1-1222-122-122-122222222-122-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111100000000-2-2-2-2-1-1-1-1-1-1-1-1111122-2-2-1-1-1-11111-2-2220000111100000000-1-1-1-111110000000000000000
χ4622222222-2-2-2-2-12-1-1-1-1222-122-122-122222222-1-2-2221111-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-122-2-20000-1-1-1-100000000111111110000000000000000
χ4722222222-2-2-2-2-12-1-1-1-1222-122-122-1-2-2-2-2-2-2-2-2-122-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111100000000222211111111111122-2-2-1-1-1-1111122-2-20000-1-1-1-1000000001111-1-1-1-10000000000000000
χ4822222222-2-2-2-2-12-1-1-1-1222-122-122-1-2-2-2-2-2-2-2-2-1-2-2221111-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1000000002222111111111111-2-2221111-1-1-1-1-2-2220000111100000000-1-1-1-1-1-1-1-10000000000000000
χ49222-2-2-2-222-22-222-2-2-2-22-2-22222-2-2222-2-222-2-2200002-22-22-22-22-2-2-2-22200000000000000002-22-222-2-222-2-22-22-20000000000000000000000000000000000002-22-20000000000000000
χ50222-2-2-2-222-22-222-2-2-2-22-2-22222-2-22-2-222-2-222200002-22-22-22-22-2-2-2-2220000000000000000-22-22-2-222-2-2222-22-2000000000000000000000000000000000000-22-220000000000000000
χ51222-2-2-2-222-22-2-1211112-2-2-122-1-2-2-122-2-222-2-2-10000-11-112-22-2-11111-1-1−i3i3−i3i3−i3i3−i3i3000000002-22-2-1-111-1-111-11-110000−i3i3−i3i3−i3i3−i3i300000000−i3i3−i3i300000000−i3i3−i3i3-11-110000000000000000
χ52222-2-2-2-222-22-2-1211112-2-2-122-1-2-2-122-2-222-2-2-10000-11-112-22-2-11111-1-1i3−i3i3−i3i3−i3i3−i3000000002-22-2-1-111-1-111-11-110000i3−i3i3−i3i3−i3i3−i300000000i3−i3i3−i300000000i3−i3i3−i3-11-110000000000000000
χ53222-2-2-2-222-22-2-1211112-2-2-122-1-2-2-1-2-222-2-222-10000-11-112-22-2-11111-1-1−i3i3−i3i3−i3i3−i3i300000000-22-2211-1-111-1-1-11-110000−i3i3−i3i3−i3i3−i3i300000000i3−i3i3−i300000000i3−i3i3−i31-11-10000000000000000
χ54222-2-2-2-222-22-2-1211112-2-2-122-1-2-2-1-2-222-2-222-10000-11-112-22-2-11111-1-1i3−i3i3−i3i3−i3i3−i300000000-22-2211-1-111-1-1-11-110000i3−i3i3−i3i3−i3i3−i300000000−i3i3−i3i300000000−i3i3−i3i31-11-10000000000000000
χ55222-2-2-2-22-22-2222-2-2-2-22-2-22222-2-2222-2-222-2-220000-22-22-22-222-2-2-2-2220000000000000000-22-2222-2-222-2-2-22-22000000000000000000000000000000000000-22-220000000000000000
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χ1304-44-4-444-444-4-4-2-2-2-222-2-2-2222-2222000000001−4i4i−4i4i-2-222-2-222111-1-1-1-12i2i−2i−2i2i2i−2i−2i0000000000000000000011-1-12i−2i2i−2i−i−iii−i−iii00000000000000000000000000000000000000000000
χ1314-44-4-444-4-4-444-2-2-2-222-2-2-2222-22220000000014i−4i−4i4i22-2-222-2-2111-1-1-1-1−2i−2i2i2i2i2i−2i−2i00000000000000000000-1-111−2i2i2i−2iii−i−i−i−iii00000000000000000000000000000000000000000000
χ1324-44-4-444-4-4-444-2-2-2-222-2-2-2222-2222000000001−4i4i4i−4i22-2-222-2-2111-1-1-1-12i2i−2i−2i−2i−2i2i2i00000000000000000000-1-1112i−2i−2i2i−i−iiiii−i−i00000000000000000000000000000000000000000000
χ1334-4-44-4-44400004-2-444-422-2-42-2-4-22400000000-200000000000022-2-222-2000000004-4-4400000000000000000000000000000000000000000000-222-20000000000000000000000000000
χ1344-4-44-4-44400004-2-444-422-2-42-2-4-22400000000-200000000000022-2-222-200000000-444-4000000000000000000000000000000000000000000002-2-220000000000000000000000000000
χ1354-4-44-4-4440000-242-2-22-4-442-4424-4-24-4-44-444-4-200000000000022-2-222-200000000000000000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-4-4440000-242-2-22-4-442-4424-4-2-444-44-4-44-200000000000022-2-222-2000000000000000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000
χ1374-4-4-444-4400004-24-4-442-22-42-2-42-2400000000-20000000000002-222-22-20000000000004-4-4400000000000000000000000000000000000000000000-222-2000000000000000000000000
χ1384-4-4-444-4400004-24-4-442-22-42-2-42-2400000000-20000000000002-222-22-2000000000000-444-4000000000000000000000000000000000000000000002-2-22000000000000000000000000
χ1394-4-4-444-440000-24-222-2-44-42-442-44-24-44-4-44-44-20000000000002-222-22-200000000000000000000-22-222-22-2000000000000000000000000000000000000000000000000000000000000
χ1404-4-4-444-440000-24-222-2-44-42-442-44-2-44-444-44-4-20000000000002-222-22-2000000000000000000002-22-2-22-22000000000000000000000000000000000000000000000000000000000000
χ14188-88-88-8-80000-4-4-44-444-44-4-444-444000000002000000000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14288-8-88-88-80000-4-44-44-444-4-4-4444-44000000002000000000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1438-8-88-8-8880000-4-44-4-4444-444-44-44-4000000002000000000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448-8-8-888-880000-4-4-444-44-4444-444-4-4000000002000000000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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