Finite Group Databasebeta

← Group #11805435

Character table — Group #11805435

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222226666111122222222226666222244444444441212121222224444444444121212122222444444444412121212222244444444441212121222224444444444121212126666121212121212121212123636363666661212121212121212121236363636
order1222344666121212124444222264466612121212444422226446661212121244443666312126661212121212121212666661212666121212121212121266666121266612121212121212126666612126661212121212121212222264466612121212444444441244121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ311111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1
χ411111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111
χ51-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i
χ61-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii
χ71-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii
χ81-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i
χ92222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000
χ102222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000
χ1122-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-200000000
χ1222-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000
χ1322-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−330000
χ142-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii0000
χ152-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i0000
χ162-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-2200000000
χ172-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000
χ182-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i30000
χ19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ2111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-111
χ2211111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-111-1-1-1111111-1-1
χ231-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i-11-11-1−ii-111−i−iii-11−ii-11-11-1−ii-111−i−iii-11−ii
χ241-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii-11-11-1−ii-111−i−iii1-1i−i-11-11-1−ii-111−i−iii1-1i−i
χ251-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii-11-11-1i−i-111ii−i−i-11i−i-11-11-1i−i-111ii−i−i-11i−i
χ261-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i-11-11-1i−i-111ii−i−i1-1−ii-11-11-1i−i-111ii−i−i1-1−ii
χ272222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-211111110000-2-2-2-21-2-211111110000
χ282222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-10000-2-2-2-2122111-1-1-1-10000
χ2922-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-200000000-2-222-2002-2200000000-2-222-2002-2200000000
χ3022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000-2-222100-11-1−33−330000-2-222100-11-1−33−330000
χ3122-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−330000-2-222100-11-13−33−30000-2-222100-11-13−33−30000
χ322-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii0000-22-221−2i2i1-1-1ii−i−i0000-22-221−2i2i1-1-1ii−i−i0000
χ332-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i0000-22-2212i−2i1-1-1−i−iii0000-22-2212i−2i1-1-1−i−iii0000
χ342-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-2200000000-222-2-20022-200000000-222-2-20022-200000000
χ352-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000-222-2100-1-11i3−i3−i3i30000-222-2100-1-11i3−i3−i3i30000
χ362-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i30000-222-2100-1-11−i3i3i3−i30000-222-2100-1-11−i3i3i3−i30000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3911111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-11111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-1-11111-1-111
χ4011111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-111-1-1-1111111-1-111111-1-1111-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1
χ411-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i-11-11-1−ii-111−i−iii-11−ii1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i-11-11-1−ii-111−i−iii-11−ii-11-11-1−ii-111−i−iii-11−ii1-11-11i−i1-1-1ii−i−i1-1i−i-11-11-1−ii-111−i−iii-11−ii
χ421-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii-11-11-1−ii-111−i−iii1-1i−i1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii-11-11-1−ii-111−i−iii1-1i−i-11-11-1−ii-111−i−iii1-1i−i1-11-11i−i1-1-1ii−i−i-11−ii-11-11-1−ii-111−i−iii1-1i−i
χ431-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii-11-11-1i−i-111ii−i−i-11i−i1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii-11-11-1i−i-111ii−i−i-11i−i-11-11-1i−i-111ii−i−i-11i−i1-11-11−ii1-1-1−i−iii1-1−ii-11-11-1i−i-111ii−i−i-11i−i
χ441-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i-11-11-1i−i-111ii−i−i1-1−ii1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i-11-11-1i−i-111ii−i−i1-1−ii-11-11-1i−i-111ii−i−i1-1−ii1-11-11−ii1-1-1−i−iii-11i−i-11-11-1i−i-111ii−i−i1-1−ii
χ452222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-2111111100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-211111110000-2-2-2-21-2-2111111100002222-122-1-1-1-1-1-1-10000-2-2-2-21-2-211111110000
χ462222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-10000-2-2-2-2122111-1-1-1-100002222-1-2-2-1-1-111110000-2-2-2-2122111-1-1-1-10000
χ4722-2-2200-22-20000000022-2-2200-22-200000000-2-222-2002-220000000022-2-2200-22-20000000022-2-2200-22-200000000-2-222-2002-2200000000-2-222-2002-220000000022-2-2200-22-200000000-2-222-2002-2200000000
χ4822-2-2-1001-113−33−3000022-2-2-1001-113−33−30000-2-222100-11-1−33−33000022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000-2-222100-11-1−33−330000-2-222100-11-1−33−33000022-2-2-1001-113−33−30000-2-222100-11-1−33−330000
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χ1614-4-44-20022-2−2i32i32i3−2i30000-444-4200-2-222i3−2i3−2i32i30000000000000000000000-222-2100-1-11i3−i3−i3i300002-2-22-10011-1−i3i3i3−i30000−2i32i32i3−2i3i300−i3−i3i3-333-300002i3−2i3−2i32i3−i300i3i3−i33-3-330000000000000000000000000000000000000000
χ1624-4-44-20022-22i3−2i3−2i32i30000-444-4200-2-22−2i32i32i3−2i30000000000000000000000-222-2100-1-11−i3i3i3−i300002-2-22-10011-1i3−i3−i3i30000−2i32i32i3−2i3i300−i3−i3i33-3-3300002i3−2i3−2i32i3−i300i3i3−i3-333-30000000000000000000000000000000000000000

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