Finite Group Databasebeta

← Group #11783880

Character table — Group #11783880

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222244444444444412121212121212121212121218181818111122222222224444444444441212121212121212121212121818181811112222222222444444444444121212121212121212121212181818181111222222222244444444444412121212121212121212121218181818
order1244233466121212123666661212121212122466881212242424244444444441212412121212121212121212121212121212121244121288121224242424444422442664661212121266666612121212121224668812122424242444444444412124121212121212121212121212121212121212441212881212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111i−i-1-1ii−i−iii−i−i
χ611-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-11-111−ii-1-1−i−iii−i−iii
χ711-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1i−i11ii−i−i−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1i−i11ii−i−i−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1i−i11ii−i−i−i−iii11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1i−i11ii−i−i−i−iii
χ811-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1−ii11−i−iiiii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1−ii11−i−iiiii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1−ii11−i−iiiii−i−i11-1-1-111111-1-1-1-11-1-1-1-111111-1-1-11-1-1−ii11−i−iiiii−i−i
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χ1122222-122-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-1000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-1000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-1000022222-122-1222-1-1-1-12-1-1-1-12-1-1-1-100002200-1-1-1-10000
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χ132222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-22200000000000000002222-222-22222222-2-2-2-22-2-2-2-2220000000000000000
χ142222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i3000000002222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i300000000
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χ1822-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-2000000000000000022-2-2222-222-2-2-2-2222222-2-2-2-2-2-20000000000000000
χ1922-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i300000000
χ2022-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i30000000022-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i300000000
χ2122-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−33000022-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−33000022-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−33000022-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−330000
χ2222-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−3000022-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−3000022-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−3000022-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−30000
χ2322-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-100110000000022-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-100110000000022-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-100110000000022-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-1001100000000
χ2422-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-10000000022-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-10000000022-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-10000000022-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-100000000
χ2522-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii000022-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii000022-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii000022-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii0000
χ2622-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i000022-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i000022-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i000022-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i0000
χ272-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i2-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i
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χ1392222-222-22222222-2-2-2-22-2-2-2-2220000000000000000−2i−2i−2i−2i2i−2i−2i2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i2i2i2i2i−2i−2i0000000000000000-2-2-2-22-2-22-2-2-2-2-2-2-22222-22222-2-200000000000000002i2i2i2i−2i2i2i−2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i−2i−2i−2i−2i2i2i0000000000000000
χ1402222-22-1-22-1-1-122-1-2111-1-2111-1-100−i3i300−i3i300000000−2i−2i−2i−2i2i−2ii2i−2iiii−2i−2ii2i−i−i−ii2i−i−i−iii00−3300−3300000000-2-2-2-22-212-2111-2-212-1-1-112-1-1-11100i3−i300i3−i3000000002i2i2i2i−2i2i−i−2i2i−i−i−i2i2i−i−2iiii−i−2iiii−i−i003−3003−300000000
χ1412222-22-1-22-1-1-122-1-2111-1-2111-1-100i3−i300i3−i300000000−2i−2i−2i−2i2i−2ii2i−2iiii−2i−2ii2i−i−i−ii2i−i−i−iii003−3003−300000000-2-2-2-22-212-2111-2-212-1-1-112-1-1-11100−i3i300−i3i3000000002i2i2i2i−2i2i−i−2i2i−i−i−i2i2i−i−2iiii−i−2iiii−i−i00−3300−3300000000
χ1422222-2-12-2-1222-1-1-11-211-11-211-1-100000000−i3i3−i3i30000−2i−2i−2i−2i2ii−2i2ii−2i−2i−2iiii−i2i−i−ii−i2i−i−iii00000000−33−330000-2-2-2-221-221-2-2-2111-12-1-11-12-1-11100000000i3−i3i3−i300002i2i2i2i−2i−i2i−2i−i2i2i2i−i−i−ii−2iii−ii−2iii−i−i000000003−33−30000
χ1432222-2-12-2-1222-1-1-11-211-11-211-1-100000000i3−i3i3−i30000−2i−2i−2i−2i2ii−2i2ii−2i−2i−2iiii−i2i−i−ii−i2i−i−iii000000003−33−30000-2-2-2-221-221-2-2-2111-12-1-11-12-1-11100000000−i3i3−i3i300002i2i2i2i−2i−i2i−2i−i2i2i2i−i−i−ii−2iii−ii−2iii−i−i00000000−33−330000
χ14422-2-2222-222-2-2-2-2222222-2-2-2-2-2-20000000000000000−2i−2i2i2i−2i−2i−2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i0000000000000000-2-222-2-2-22-2-22222-2-2-2-2-2-222222200000000000000002i2i−2i−2i2i2i2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000000000
χ14522-2-222-1-22-111-2-2-12-1-1-1-1-21111100−i3i300i3−i300000000−2i−2i2i2i−2i−2ii2i−2ii−i−i2i2ii−2iiiii2i−i−i−i−i−i00−33003−300000000-2-222-2-212-21-1-1221-211112-1-1-1-1-100i3−i300−i3i3000000002i2i−2i−2i2i2i−i−2i2i−iii−2i−2i−i2i−i−i−i−i−2iiiiii003−300−3300000000
χ14622-2-222-1-22-111-2-2-12-1-1-1-1-21111100i3−i300−i3i300000000−2i−2i2i2i−2i−2ii2i−2ii−i−i2i2ii−2iiiii2i−i−i−i−i−i003−300−3300000000-2-222-2-212-21-1-1221-211112-1-1-1-1-100−i3i300i3−i3000000002i2i−2i−2i2i2i−i−2i2i−iii−2i−2i−i2i−i−i−i−i−2iiiiii00−33003−300000000
χ14722-2-22-12-2-12-2-211-1-12-1-1-11-21111000000003−3−330000−2i−2i2i2i−2ii−2i2ii−2i2i2i−i−iii−2iiii−i2i−i−i−i−i00000000−i3i3i3−i30000-2-222-21-221-222-1-111-2111-12-1-1-1-100000000−333−300002i2i−2i−2i2i−i2i−2i−i2i−2i−2iii−i−i2i−i−i−ii−2iiiii00000000i3−i3−i3i30000
χ14822-2-22-12-2-12-2-211-1-12-1-1-11-2111100000000−333−30000−2i−2i2i2i−2ii−2i2ii−2i2i2i−i−iii−2iiii−i2i−i−i−i−i00000000i3−i3−i3i30000-2-222-21-221-222-1-111-2111-12-1-1-1-1000000003−3−3300002i2i−2i−2i2i−i2i−2i−i2i−2i−2iii−i−i2i−i−i−ii−2iiiii00000000−i3i3i3−i30000
χ14922-2-2-22-122-111-2-2-1-2111-12-1-1-1112-2-1-1001100000000−2i−2i2i2i2i−2ii−2i−2ii−i−i2i2ii2i−i−i−ii−2iiii−i−i−2i2iii00−i−i00000000-2-2222-21-2-21-1-12212-1-1-11-2111-1-1-221100-1-1000000002i2i−2i−2i−2i2i−i2i2i−iii−2i−2i−i−2iiii−i2i−i−i−iii2i−2i−i−i00ii00000000
χ15022-2-2-22-122-111-2-2-1-2111-12-1-1-111-221100-1-100000000−2i−2i2i2i2i−2ii−2i−2ii−i−i2i2ii2i−i−i−ii−2iiii−i−i2i−2i−i−i00ii00000000-2-2222-21-2-21-1-12212-1-1-11-2111-1-12-2-1-10011000000002i2i−2i−2i−2i2i−i2i2i−iii−2i−2i−i−2iiii−i2i−i−i−iii−2i2iii00−i−i00000000
χ15122-2-2-2-122-12-2-211-11-211-1-12-1-11100002i−2i00−i−iii0000−2i−2i2i2i2ii−2i−2ii−2i2i2i−i−ii−i2i−i−iii−2iii−i−i00002-200-1-1110000-2-22221-2-21-222-1-11-12-1-111-211-1-10000−2i2i00ii−i−i00002i2i−2i−2i−2i−i2i2i−i2i−2i−2iii−ii−2iii−i−i2i−i−iii0000-220011-1-10000
χ15222-2-2-2-122-12-2-211-11-211-1-12-1-1110000−2i2i00ii−i−i0000−2i−2i2i2i2ii−2i−2ii−2i2i2i−i−ii−i2i−i−iii−2iii−i−i0000-220011-1-10000-2-22221-2-21-222-1-11-12-1-111-211-1-100002i−2i00−i−iii00002i2i−2i−2i−2i−i2i2i−i2i−2i−2iii−ii−2iii−i−i2i−i−iii00002-200-1-1110000
χ1532-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i0000000000001+i−1−i1−i−1+i−2i2i2-20−2i−2i02i2i2-22-2−2i00002i00002-20000000000001−i−1+i−1−i1+i-22−2i2i0-2-2022−2i2i−2i2i-2000020000−2i2i000000000000−1−i1+i−1+i1−i2i−2i-2202i2i0−2i−2i-22-222i0000−2i0000-22000000000000−1+i1−i1+i−1−i
χ1542-22i−2i0220-2-22i−2i2i−2i20000-200002i−2i000000000000−1−i1+i−1+i1−i−2i2i2-20−2i−2i02i2i2-22-2−2i00002i00002-2000000000000−1+i1−i1+i−1−i-22−2i2i0-2-2022−2i2i−2i2i-2000020000−2i2i0000000000001+i−1−i1−i−1+i2i−2i-2202i2i0−2i−2i-22-222i0000−2i0000-220000000000001−i−1+i−1−i1+i
χ1552-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i0000000000001−i−1+i1+i−1−i−2i2i-220−2i−2i02i2i-22-22−2i00002i0000-22000000000000−1−i1+i1−i−1+i-222i−2i0-2-20222i−2i2i−2i-20000200002i−2i000000000000−1+i1−i−1−i1+i2i−2i2-202i2i0−2i−2i2-22-22i0000−2i00002-20000000000001+i−1−i−1+i1−i
χ1562-2−2i2i0220-2-2−2i2i−2i2i20000-20000−2i2i000000000000−1+i1−i−1−i1+i−2i2i-220−2i−2i02i2i-22-22−2i00002i0000-220000000000001+i−1−i−1+i1−i-222i−2i0-2-20222i−2i2i−2i-20000200002i−2i0000000000001−i−1+i1+i−1−i2i−2i2-202i2i0−2i−2i2-22-22i0000−2i00002-2000000000000−1−i1+i1−i−1+i
χ15744444-2-24-2-2-2-2-2-21-2-2111-2-211110000000000000000−4i−4i−4i−4i−4i2i2i−4i2i2i2i2i2i2i−i2i2i−i−i−i2i2i−i−i−i−i0000000000000000-4-4-4-4-422-4222222-122-1-1-122-1-1-1-100000000000000004i4i4i4i4i−2i−2i4i−2i−2i−2i−2i−2i−2ii−2i−2iiii−2i−2iiiii0000000000000000
χ1584444-4-2-2-4-2-2-2-2-2-2122-1-1122-1-1110000000000000000−4i−4i−4i−4i4i2i2i4i2i2i2i2i2i2i−i−2i−2iii−i−2i−2iii−i−i0000000000000000-4-4-4-44224222222-1-2-211-1-2-211-1-100000000000000004i4i4i4i−4i−2i−2i−4i−2i−2i−2i−2i−2i−2ii2i2i−i−ii2i2i−i−iii0000000000000000
χ15944-4-44-2-2-4-2-222221-2-211122-1-1-1-10000000000000000−4i−4i4i4i−4i2i2i4i2i2i−2i−2i−2i−2i−i2i2i−i−i−i−2i−2iiiii0000000000000000-4-444-422422-2-2-2-2-122-1-1-1-2-2111100000000000000004i4i−4i−4i4i−2i−2i−4i−2i−2i2i2i2i2ii−2i−2iiii2i2i−i−i−i−i0000000000000000
χ16044-4-4-4-2-24-2-22222122-1-11-2-211-1-10000000000000000−4i−4i4i4i4i2i2i−4i2i2i−2i−2i−2i−2i−i−2i−2iii−i2i2i−i−iii0000000000000000-4-444422-422-2-2-2-2-1-2-211-122-1-11100000000000000004i4i−4i−4i−4i−2i−2i4i−2i−2i2i2i2i2ii2i2i−i−ii−2i−2iii−i−i0000000000000000
χ1614-44i−4i04-20-42−2i2i4i−4i-2000020000−2i2i0000000000000000−4i4i4-40−4i2i04i−2i-224-42i0000−2i0000-220000000000000000-44−4i4i0-4204-22i−2i−4i4i20000-200002i−2i00000000000000004i−4i-4404i−2i0−4i2i2-2-44−2i00002i00002-20000000000000000
χ1624-44i−4i0-2402-44i−4i−2i2i-2000020000−2i2i0000000000000000−4i4i4-402i−4i0−2i4i4-4-222i0000−2i0000-220000000000000000-44−4i4i02-40-24−4i4i2i−2i20000-200002i−2i00000000000000004i−4i-440−2i4i02i−4i-442-2−2i00002i00002-20000000000000000
χ1634-44i−4i0-2-2022−2i2i−2i2i1003-3-1003i−3ii−i0000000000000000−4i4i4-402i2i0−2i−2i-22-22−i00−3i3ii003-31-10000000000000000-44−4i4i0220-2-22i−2i2i−2i-100-33100−3i3i−ii00000000000000004i−4i-440−2i−2i02i2i2-22-2i003i−3i−i00-33-110000000000000000
χ1644-44i−4i0-2-2022−2i2i−2i2i100-33-100−3i3ii−i0000000000000000−4i4i4-402i2i0−2i−2i-22-22−i003i−3ii00-331-10000000000000000-44−4i4i0220-2-22i−2i2i−2i-1003-31003i−3i−ii00000000000000004i−4i-440−2i−2i02i2i2-22-2i00−3i3i−i003-3-110000000000000000
χ1654-4−4i4i04-20-422i−2i−4i4i-20000200002i−2i0000000000000000−4i4i-440−4i2i04i−2i2-2-442i0000−2i00002-20000000000000000-444i−4i0-4204-2−2i2i4i−4i20000-20000−2i2i00000000000000004i−4i4-404i−2i0−4i2i-224-4−2i00002i0000-220000000000000000
χ1664-4−4i4i0-2402-4−4i4i2i−2i-20000200002i−2i0000000000000000−4i4i-4402i−4i0−2i4i-442-22i0000−2i00002-20000000000000000-444i−4i02-40-244i−4i−2i2i20000-20000−2i2i00000000000000004i−4i4-40−2i4i02i−4i4-4-22−2i00002i0000-220000000000000000
χ1674-4−4i4i0-2-20222i−2i2i−2i1003-3-100−3i3i−ii0000000000000000−4i4i-4402i2i0−2i−2i2-22-2−i00−3i3ii00-33-110000000000000000-444i−4i0220-2-2−2i2i−2i2i-100-331003i−3ii−i00000000000000004i−4i4-40−2i−2i02i2i-22-22i003i−3i−i003-31-10000000000000000
χ1684-4−4i4i0-2-20222i−2i2i−2i100-33-1003i−3i−ii0000000000000000−4i4i-4402i2i0−2i−2i2-22-2−i003i−3ii003-3-110000000000000000-444i−4i0220-2-2−2i2i−2i2i-1003-3100−3i3ii−i00000000000000004i−4i4-40−2i−2i02i2i-22-22i00−3i3i−i00-331-10000000000000000

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