Finite Group Databasebeta

← Group #11783790

Character table — Group #11783790

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11222222222224444444444441212121212121212121212123636112222222222244444444444412121212121212121212121236361122222222222444444444444121212121212121212121212363611222222222224444444444441212121212121212121212123636
order1223344666612123666612121212121212226666882424242488444121244121212121212121212121212121212121212441212121288242424248822266446666121266666121212121212122266668824242424884441212441212121212121212121212121212121212124412121212882424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111111111111-1-1-1-1-1-1111111-1-11111111111111111111111111-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1i−iii−i−ii−i11111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1i−iii−i−ii−i11111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1i−iii−i−ii−i11111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1i−iii−i−ii−i
χ611111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1−ii−i−iii−ii11111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1−ii−i−iii−ii11111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1−ii−i−iii−ii11111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1−ii−i−iii−ii
χ711111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111i−iii−i−i−ii11111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111i−iii−i−i−ii11111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111i−iii−i−i−ii11111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111i−iii−i−i−ii
χ811111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111−ii−i−iiii−i11111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111−ii−i−iiii−i11111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111−ii−i−iiii−i11111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111−ii−i−iiii−i
χ92222-122-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-122-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-122-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-1000000002222-122-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-100000000
χ102222-122-1-12-122-12-1-1-12-1-1-1-1-1-1-2-21111000000002222-122-1-12-122-12-1-1-12-1-1-1-1-1-1-2-21111000000002222-122-1-12-122-12-1-1-12-1-1-1-1-1-1-2-21111000000002222-122-1-12-122-12-1-1-12-1-1-1-1-1-1-2-2111100000000
χ112222-1-2-2-1-12-1-2-2-12-1-1-1-21111112-2-1-111000000002222-1-2-2-1-12-1-2-2-12-1-1-1-21111112-2-1-111000000002222-1-2-2-1-12-1-2-2-12-1-1-1-21111112-2-1-111000000002222-1-2-2-1-12-1-2-2-12-1-1-1-21111112-2-1-11100000000
χ122222-1-2-2-1-12-1-2-2-12-1-1-1-2111111-2211-1-1000000002222-1-2-2-1-12-1-2-2-12-1-1-1-2111111-2211-1-1000000002222-1-2-2-1-12-1-2-2-12-1-1-1-2111111-2211-1-1000000002222-1-2-2-1-12-1-2-2-12-1-1-1-2111111-2211-1-100000000
χ13222-122222-12-1-1-1-1-1-1-1-122-1-1-1-100000022-1-1-1-100222-122222-12-1-1-1-1-1-1-1-122-1-1-1-100000022-1-1-1-100222-122222-12-1-1-1-1-1-1-1-122-1-1-1-100000022-1-1-1-100222-122222-12-1-1-1-1-1-1-1-122-1-1-1-100000022-1-1-1-100
χ14222-122222-12-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2111100222-122222-12-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2111100222-122222-12-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2111100222-122222-12-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2111100
χ15222-12-2-222-1211-1-1-1-1-11-2-211110000002i−2i−i−iii00222-12-2-222-1211-1-1-1-1-11-2-211110000002i−2i−i−iii00222-12-2-222-1211-1-1-1-1-11-2-211110000002i−2i−i−iii00222-12-2-222-1211-1-1-1-1-11-2-211110000002i−2i−i−iii00
χ16222-12-2-222-1211-1-1-1-1-11-2-21111000000−2i2iii−i−i00222-12-2-222-1211-1-1-1-1-11-2-21111000000−2i2iii−i−i00222-12-2-222-1211-1-1-1-1-11-2-21111000000−2i2iii−i−i00222-12-2-222-1211-1-1-1-1-11-2-21111000000−2i2iii−i−i00
χ1722-2222-2-2-222222-2-2-22-22-222-2-20000000000000022-2222-2-2-222222-2-2-22-22-222-2-20000000000000022-2222-2-2-222222-2-2-22-22-222-2-20000000000000022-2222-2-2-222222-2-2-22-22-222-2-200000000000000
χ1822-222-22-2-222-2-22-2-2-222-22-2-2220000000000000022-222-22-2-222-2-22-2-2-222-22-2-2220000000000000022-222-22-2-222-2-22-2-2-222-22-2-2220000000000000022-222-22-2-222-2-22-2-2-222-22-2-22200000000000000
χ1922-22-12-2112-122-1-211-1-2-11-1-11100−i3i3−i3i30000000022-22-12-2112-122-1-211-1-2-11-1-11100−i3i3−i3i30000000022-22-12-2112-122-1-211-1-2-11-1-11100−i3i3−i3i30000000022-22-12-2112-122-1-211-1-2-11-1-11100−i3i3−i3i300000000
χ2022-22-12-2112-122-1-211-1-2-11-1-11100i3−i3i3−i30000000022-22-12-2112-122-1-211-1-2-11-1-11100i3−i3i3−i30000000022-22-12-2112-122-1-211-1-2-11-1-11100i3−i3i3−i30000000022-22-12-2112-122-1-211-1-2-11-1-11100i3−i3i3−i300000000
χ2122-22-1-22112-1-2-2-1-211-121-111-1-100−i3i3i3−i30000000022-22-1-22112-1-2-2-1-211-121-111-1-100−i3i3i3−i30000000022-22-1-22112-1-2-2-1-211-121-111-1-100−i3i3i3−i30000000022-22-1-22112-1-2-2-1-211-121-111-1-100−i3i3i3−i300000000
χ2222-22-1-22112-1-2-2-1-211-121-111-1-100i3−i3−i3i30000000022-22-1-22112-1-2-2-1-211-121-111-1-100i3−i3−i3i30000000022-22-1-22112-1-2-2-1-211-121-111-1-100i3−i3−i3i30000000022-22-1-22112-1-2-2-1-211-121-111-1-100i3−i3−i3i300000000
χ2322-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000−i3i3−i3i30022-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000−i3i3−i3i30022-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000−i3i3−i3i30022-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000−i3i3−i3i300
χ2422-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000i3−i3i3−i30022-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000i3−i3i3−i30022-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000i3−i3i3−i30022-2-122-2-2-2-12-1-1-1111-112-2-1-11100000000i3−i3i3−i300
χ2522-2-12-22-2-2-1211-1111-1-1-2211-1-1000000003−3−330022-2-12-22-2-2-1211-1111-1-1-2211-1-1000000003−3−330022-2-12-22-2-2-1211-1111-1-1-2211-1-1000000003−3−330022-2-12-22-2-2-1211-1111-1-1-2211-1-1000000003−3−3300
χ2622-2-12-22-2-2-1211-1111-1-1-2211-1-100000000−333−30022-2-12-22-2-2-1211-1111-1-1-2211-1-100000000−333−30022-2-12-22-2-2-1211-1111-1-1-2211-1-100000000−333−30022-2-12-22-2-2-1211-1111-1-1-2211-1-100000000−333−300
χ27444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000444-2-244-2-2-2-2-2-21-2111-2-2-2111100000000000000
χ28444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000444-2-2-4-4-2-2-2-2221-2111222-1-1-1-100000000000000
χ2944-4-2-24-422-2-2-2-212-1-112-2211-1-10000000000000044-4-2-24-422-2-2-2-212-1-112-2211-1-10000000000000044-4-2-24-422-2-2-2-212-1-112-2211-1-10000000000000044-4-2-24-422-2-2-2-212-1-112-2211-1-100000000000000
χ3044-4-2-2-4422-2-22212-1-11-22-2-1-1110000000000000044-4-2-2-4422-2-22212-1-11-22-2-1-1110000000000000044-4-2-2-4422-2-22212-1-11-22-2-1-1110000000000000044-4-2-2-4422-2-22212-1-11-22-2-1-11100000000000000
χ314-40440000-4-4004000-40000000000000000000004-40440000-4-4004000-40000000000000000000004-40440000-4-4004000-40000000000000000000004-40440000-4-4004000-4000000000000000000000
χ324-404-200−2i32i3-4200-20−2i32i320000000000000000000004-404-200−2i32i3-4200-20−2i32i320000000000000000000004-404-200−2i32i3-4200-20−2i32i320000000000000000000004-404-200−2i32i3-4200-20−2i32i32000000000000000000000
χ334-404-2002i3−2i3-4200-202i3−2i320000000000000000000004-404-2002i3−2i3-4200-202i3−2i320000000000000000000004-404-2002i3−2i3-4200-202i3−2i320000000000000000000004-404-2002i3−2i3-4200-202i3−2i32000000000000000000000
χ344-40-2400002-423−23-2000200023−2300000000000000004-40-2400002-423−23-2000200023−2300000000000000004-40-2400002-423−23-2000200023−2300000000000000004-40-2400002-423−23-2000200023−230000000000000000
χ354-40-2400002-4−2323-20002000−232300000000000000004-40-2400002-4−2323-20002000−232300000000000000004-40-2400002-4−2323-20002000−232300000000000000004-40-2400002-4−2323-20002000−23230000000000000000
χ364-40-2-200−2i32i32223−2310i3−i3-1000−333i−3i000000000000004-40-2-200−2i32i32223−2310i3−i3-1000−333i−3i000000000000004-40-2-200−2i32i32223−2310i3−i3-1000−333i−3i000000000000004-40-2-200−2i32i32223−2310i3−i3-1000−333i−3i00000000000000
χ374-40-2-200−2i32i322−232310i3−i3-10003−3−3i3i000000000000004-40-2-200−2i32i322−232310i3−i3-10003−3−3i3i000000000000004-40-2-200−2i32i322−232310i3−i3-10003−3−3i3i000000000000004-40-2-200−2i32i322−232310i3−i3-10003−3−3i3i00000000000000
χ384-40-2-2002i3−2i32223−2310−i3i3-1000−33−3i3i000000000000004-40-2-2002i3−2i32223−2310−i3i3-1000−33−3i3i000000000000004-40-2-2002i3−2i32223−2310−i3i3-1000−33−3i3i000000000000004-40-2-2002i3−2i32223−2310−i3i3-1000−33−3i3i00000000000000
χ394-40-2-2002i3−2i322−232310−i3i3-10003−33i−3i000000000000004-40-2-2002i3−2i322−232310−i3i3-10003−33i−3i000000000000004-40-2-2002i3−2i322−232310−i3i3-10003−33i−3i000000000000004-40-2-2002i3−2i322−232310−i3i3-10003−33i−3i00000000000000
χ40111111111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
χ421111111111111111111111111-1-1-1-1-1-1111111-1-1iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−iiiiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−i−i−iii
χ431111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i
χ4411111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1i−iii−i−ii−iiiiii−i−iiiii−i−iiiiii−i−i−i−i−i−i−ii−iii−i−i-11-1-111-11-1-1-1-1-111-1-1-1-111-1-1-1-1-11111111-11-1-111−ii−i−iii−ii−i−i−i−i−iii−i−i−i−iii−i−i−i−i−iiiiiiii−ii−i−iii1-111-1-11-1
χ4511111-1-11111-1-111111-1-1-1-1-1-1-11-111-1-1−ii−i−iii−iiiiiii−i−iiiii−i−iiiiii−i−i−i−i−i−i−ii−iii−i−i1-111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111111-11-1-111i−iii−i−ii−i−i−i−i−i−iii−i−i−i−iii−i−i−i−i−iiiiiiii−ii−i−iii-11-1-111-11
χ4611111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111i−iii−i−i−iiiiiii−i−iiiii−i−iiiiii−i−i−i−i−i−i−i−ii−i−iii-11-1-1111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111111111-111-1-1−ii−i−iiii−i−i−i−i−i−iii−i−i−i−iii−i−i−i−i−iiiiiiiii−iii−i−i1-111-1-1-11
χ4711111-1-11111-1-111111-1-1-1-1-1-1-1-11-1-111−ii−i−iiii−iiiiii−i−iiiii−i−iiiiii−i−i−i−i−i−i−i−ii−i−iii1-111-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-1-111111111-111-1-1i−iii−i−i−ii−i−i−i−i−iii−i−i−i−iii−i−i−i−i−iiiiiiiii−iii−i−i-11-1-1111-1
χ482222-122-1-12-122-12-1-1-12-1-1-1-1-1-122-1-1-1-1000000002i2i2i2i−i2i2i−i−i2i−i2i2i−i2i−i−i−i2i−i−i−i−i−i−i2i2i−i−i−i−i00000000-2-2-2-21-2-211-21-2-21-2111-2111111-2-2111100000000−2i−2i−2i−2ii−2i−2iii−2ii−2i−2ii−2iiii−2iiiiiii−2i−2iiiii00000000
χ492222-122-1-12-122-12-1-1-12-1-1-1-1-1-1-2-21111000000002i2i2i2i−i2i2i−i−i2i−i2i2i−i2i−i−i−i2i−i−i−i−i−i−i−2i−2iiiii00000000-2-2-2-21-2-211-21-2-21-2111-211111122-1-1-1-100000000−2i−2i−2i−2ii−2i−2iii−2ii−2i−2ii−2iiii−2iiiiiii2i2i−i−i−i−i00000000
χ502222-1-2-2-1-12-1-2-2-12-1-1-1-21111112-2-1-111000000002i2i2i2i−i−2i−2i−i−i2i−i−2i−2i−i2i−i−i−i−2iiiiiii2i−2i−i−iii00000000-2-2-2-212211-21221-21112-1-1-1-1-1-1-2211-1-100000000−2i−2i−2i−2ii2i2iii−2ii2i2ii−2iiii2i−i−i−i−i−i−i−2i2iii−i−i00000000
χ512222-1-2-2-1-12-1-2-2-12-1-1-1-2111111-2211-1-1000000002i2i2i2i−i−2i−2i−i−i2i−i−2i−2i−i2i−i−i−i−2iiiiiii−2i2iii−i−i00000000-2-2-2-212211-21221-21112-1-1-1-1-1-12-2-1-11100000000−2i−2i−2i−2ii2i2iii−2ii2i2ii−2iiii2i−i−i−i−i−i−i2i−2i−i−iii00000000
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χ1534-40-2-200−2i32i32223−2310i3−i3-1000−333i−3i00000000000000−4i4i02i2i00−2323−2i−2i−2i32i3−i03−3i000i3−i33-300000000000000-44022002i3−2i3-2-2−2323-10−i3i310003−3−3i3i000000000000004i−4i0−2i−2i0023−232i2i2i3−2i3i0−33−i000−i3i3-3300000000000000
χ1544-40-2-200−2i32i322−232310i3−i3-10003−3−3i3i00000000000000−4i4i02i2i00−2323−2i−2i2i3−2i3−i03−3i000−i3i3-3300000000000000-44022002i3−2i3-2-223−23-10−i3i31000−333i−3i000000000000004i−4i0−2i−2i0023−232i2i−2i32i3i0−33−i000i3−i33-300000000000000
χ1554-40-2-2002i3−2i32223−2310−i3i3-1000−33−3i3i00000000000000−4i4i02i2i0023−23−2i−2i−2i32i3−i0−33i000i3−i3-3300000000000000-4402200−2i32i3-2-2−2323-10i3−i310003−33i−3i000000000000004i−4i0−2i−2i00−23232i2i2i3−2i3i03−3−i000−i3i33-300000000000000
χ1564-40-2-2002i3−2i322−232310−i3i3-10003−33i−3i00000000000000−4i4i02i2i0023−23−2i−2i2i3−2i3−i0−33i000−i3i33-300000000000000-4402200−2i32i3-2-223−23-10i3−i31000−33−3i3i000000000000004i−4i0−2i−2i00−23232i2i−2i32i3i03−3−i000i3−i3-3300000000000000

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