Finite Group Databasebeta

← Group #11807474

Character table — Group #11807474

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121244444444444444441212121212121212121212121212121212121212121212122244444412121212121212121212121212121212121212124444661212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ171-1-11-111-111ii−i−i1-11-1-11-1-111-1-11-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1i−i1-1ii−i−iii−i−i11-1-11-11-1i−ii−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i1-11-1i−i
χ181-1-11-111-111ii−i−i1-11-1-11-1-111-1-11-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-111-1-1−i−iii11-1-1ii−i−i1111-1-1-1-1i−i1-1ii−i−iii−i−i11-1-1-11-11i−i−iiii−i−iii−i−i11-1-1-1-111−i−iii−i−iii-11−ii-11-11−ii
χ191-1-11-111-111ii−i−i1-11-1-11-1-111-1-11-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1-1-111ii−i−i-1-111−i−iii-1-1-1-11111i−i1-1ii−i−iii−i−i11-1-11-11-1−iii−i−i−iii−i−iii-1-11111-1-1ii−i−i−i−iii1-1i−i-11-11−ii
χ201-1-11-111-111ii−i−i1-11-1-11-1-111-1-11-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1-1-111−i−iii-1-111−i−iii-1-1-1-11111i−i1-1ii−i−iii−i−i11-1-1-11-11−ii−ii−i−iii−i−iii-1-111-1-111−i−iiiii−i−i-11−ii1-11-1i−i
χ211-1-11-111-111ii−i−i1-11-1-11-1-111-1-11-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-11111-1-1ii−i−i-1-111−i−iii1111-1-1-1-1−ii-11ii−i−i−i−iii-1-111-111-1i−i−iiii−i−i−i−iii-1-11111-1-1ii−i−iii−i−i-11−ii1-1-11−ii
χ221-1-11-111-111ii−i−i1-11-1-11-1-111-1-11-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-11111-1-1−i−iii-1-111−i−iii1111-1-1-1-1−ii-11ii−i−i−i−iii-1-1111-1-11i−ii−iii−i−i−i−iii-1-111-1-111−i−iii−i−iii1-1i−i-111-1i−i
χ231-1-11-111-111ii−i−i1-11-1-11-1-111-1-11-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-111-1-111ii−i−i11-1-1ii−i−i-1-1-1-11111−ii-11ii−i−i−i−iii-1-111-111-1−ii−ii−i−iiiii−i−i11-1-111-1-1ii−i−i−i−iii-11−ii-111-1i−i
χ241-1-11-111-111ii−i−i1-11-1-11-1-111-1-11-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-111-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−ii-11ii−i−i−i−iii-1-1111-1-11−iii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i1-1i−i1-1-11−ii
χ251-1-11-111-111−i−iii1-11-1-11-1-111-1-11-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-11111-1-1ii−i−i-1-111ii−i−i1111-1-1-1-1i−i-11−i−iiiii−i−i-1-1111-1-11−ii−ii−i−iiiii−i−i-1-111-1-111ii−i−iii−i−i1-1−ii-111-1−ii
χ261-1-11-111-111−i−iii1-11-1-11-1-111-1-11-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-11111-1-1−i−iii-1-111ii−i−i1111-1-1-1-1i−i-11−i−iiiii−i−i-1-111-111-1−iii−i−i−iiiii−i−i-1-11111-1-1−i−iii−i−iii-11i−i1-1-11i−i
χ271-1-11-111-111−i−iii1-11-1-11-1-111-1-11-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111-1-111ii−i−i11-1-1−i−iii-1-1-1-11111i−i-11−i−iiiii−i−i-1-1111-1-11i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii1-1−ii1-1-11i−i
χ281-1-11-111-111−i−iii1-11-1-11-1-111-1-11-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111-1-111−i−iii11-1-1−i−iii-1-1-1-11111i−i-11−i−iiiii−i−i-1-111-111-1i−ii−iii−i−i−i−iii11-1-111-1-1−i−iiiii−i−i-11i−i-111-1−ii
χ291-1-11-111-111−i−iii1-11-1-11-1-111-1-11-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-111-1-1ii−i−i11-1-1−i−iii1111-1-1-1-1−ii1-1−i−iii−i−iii11-1-1-11-11−iii−i−i−iii−i−iii11-1-1-1-111ii−i−iii−i−i-11i−i-11-11i−i
χ301-1-11-111-111−i−iii1-11-1-11-1-111-1-11-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−ii1-1−i−iii−i−iii11-1-11-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii1-11-1−ii
χ311-1-11-111-111−i−iii1-11-1-11-1-111-1-11-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1-1-111ii−i−i-1-111ii−i−i-1-1-1-11111−ii1-1−i−iii−i−iii11-1-1-11-11i−ii−iii−i−iii−i−i-1-111-1-111ii−i−i−i−iii-11i−i1-11-1−ii
χ321-1-11-111-111−i−iii1-11-1-11-1-111-1-11-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1-1-111−i−iii-1-111ii−i−i-1-1-1-11111−ii1-1−i−iii−i−iii11-1-11-11-1i−i−iiii−i−iii−i−i-1-11111-1-1−i−iiiii−i−i1-1−ii-11-11i−i
χ33222222222-12222-1-1222-1-1-12222-1-1-12222-1-1-1-1-1-1-122-1-122-1-122222222000022220000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220022000000000000-1-1-1-1-1-1-1-10000-1-1-1-1000000
χ34222222222-12222-1-1222-1-1-12222-1-1-12222-1-1-1-1-1-1-122-1-122-1-1222222220000-2-2-2-20000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-20000000000001111111100001111000000
χ35222222222-12222-1-1222-1-1-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1-2-2-2-2-2-2-2-20000222200000000000000001111-1-1-1-111111111-2-22200-2-2000000000000-1-1-1-1-1-1-1-100001111000000
χ36222222222-12222-1-1222-1-1-12222-1-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1-2-2-2-2-2-2-2-20000-2-2-2-200000000000000001111-1-1-1-11111111122-2-20022000000000000111111110000-1-1-1-1000000
χ37222222222-1-2-2-2-2-1-1222-1-1-12222-1-1-122-2-2-1-1-1-1-1-1-1-2-211-2-2112222-2-2-2-2000022220000000000000000-1-1111111-1-1-1-1111122-2-200-2-20000000000001111-1-1-1-10000-1-111000000
χ38222222222-1-2-2-2-2-1-1222-1-1-12222-1-1-122-2-2-1-1-1-1-1-1-1-2-211-2-2112222-2-2-2-20000-2-2-2-20000000000000000-1-1111111-1-1-1-11111-2-2220022000000000000-1-1-1-11111000011-1-1000000
χ39222222222-1-2-2-2-2-1-1222-1-1-12222-1-1-1-2-222-1-1-1-1-1-1-1-2-211-2-211-2-2-2-2222200002222000000000000000011-1-111111111-1-1-1-1-2-2-2-200220000000000001111-1-1-1-1000011-1-1000000
χ40222222222-1-2-2-2-2-1-1222-1-1-12222-1-1-1-2-222-1-1-1-1-1-1-1-2-211-2-211-2-2-2-222220000-2-2-2-2000000000000000011-1-111111111-1-1-1-1222200-2-2000000000000-1-1-1-111110000-1-111000000
χ4122222222-12222222-1-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222000022222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002200-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ4222222222-12222222-1-1-1222-1-1-1-122-12222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2001111111111110000000000000000000000
χ4322222222-12222222-1-1-1222-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1221111111122220000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100002200-1-1-1-1111111110000000000000000000000
χ4422222222-12222222-1-1-1222-1-1-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-12211111111-2-2-2-200002222222211111111-2-2-2-2-1-1-1-1111111110000-2-2001111-1-1-1-1-1-1-1-10000000000000000000000
χ4522222222-12-2-2-2-222-1-1-1222-1-1-1-122-122-2-2-1-1-1-1-1-1-111-2-211-2-2-1-1-1-1111122220000-2-2-2-22222-1-1-1-1-1-1-1-122-2-21111-1-1-1-111110000-2-2001111-1-1-1-111110000000000000000000000
χ4622222222-12-2-2-2-222-1-1-1222-1-1-1-122-122-2-2-1-1-1-1-1-1-111-2-211-2-2-1-1-1-11111-2-2-2-200002222-2-2-2-21111111122-2-21111-1-1-1-1111100002200-1-1-1-11111-1-1-1-10000000000000000000000
χ4722222222-12-2-2-2-222-1-1-1222-1-1-1-122-1-2-222-1-1-1-1-1-1-111-2-211-2-21111-1-1-1-1222200002222-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-10000-2-20011111111-1-1-1-10000000000000000000000
χ4822222222-12-2-2-2-222-1-1-1222-1-1-1-122-1-2-222-1-1-1-1-1-1-111-2-211-2-21111-1-1-1-1-2-2-2-20000-2-2-2-2222211111111-2-22211111111-1-1-1-100002200-1-1-1-1-1-1-1-111110000000000000000000000
χ4922-222-2-2-2222-22-2-2-2-22-2-22-22-22-222200002-22-2-22-22-22-22-22-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000002-22-2000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ5022-222-2-2-2222-22-2-2-2-22-2-22-22-22-222200002-22-2-22-22-22-22-22-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000002-22-200000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ5122-222-2-2-222-22-22-2-2-22-2-22-22-22-222200002-22-2-22-2-22-22-22-2200000000000000002i−2i2i−2i−2i2i−2i2i000000000000-22-2200000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ5222-222-2-2-222-22-22-2-2-22-2-22-22-22-222200002-22-2-22-2-22-22-22-220000000000000000−2i2i−2i2i2i−2i2i−2i000000000000-22-22000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ5322-222-2-2-2-122-22-2-2-21-11-22-2-11-1122-10000-11-111-11-112-2-112-23−33−33−33−3000000002i−2i2i−2i2i−2i2i−2i−i3−i3i3i3−i3−i3i3i30000-11-113−33−33−33−300000000−i3i3−i3i3−ii−ii−ii−ii0000000000000000000000
χ5422-222-2-2-2-122-22-2-2-21-11-22-2-11-1122-10000-11-111-11-112-2-112-23−33−33−33−300000000−2i2i−2i2i−2i2i−2i2ii3i3−i3−i3i3i3−i3−i30000-11-113−33−33−33−300000000i3−i3i3−i3i−ii−ii−ii−i0000000000000000000000
χ5522-222-2-2-2-122-22-2-2-21-11-22-2-11-1122-10000-11-111-11-112-2-112-2−33−33−33−33000000002i−2i2i−2i2i−2i2i−2ii3i3−i3−i3i3i3−i3−i30000-11-11−33−33−33−3300000000i3−i3i3−i3−ii−ii−ii−ii0000000000000000000000
χ5622-222-2-2-2-122-22-2-2-21-11-22-2-11-1122-10000-11-111-11-112-2-112-2−33−33−33−3300000000−2i2i−2i2i−2i2i−2i2i−i3−i3i3i3−i3−i3i3i30000-11-11−33−33−33−3300000000−i3i3−i3i3i−ii−ii−ii−i0000000000000000000000
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χ1344-4-4-44-444-24000044222-4-4-42-2-2-2-44-200002-2-2-222200000000000000000000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000
χ135888-8-8-88-8-4-40000-444-4-44-4-44-4444420000-22-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-88-88-4-400004-4-4-44-4-44444-44420000-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-88-888-8-8-4-4000044-44-4-44-444-444-420000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-88-888-4-40000-4-44444444-4-4-44-420000-2222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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