Finite Group Databasebeta

← Group #11790618

Character table — Group #11790618

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212888888888888888844121212121212121212121212121212121212121224242424242424242424242424242424444444444444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-111-1-111-1-1i−i
χ101-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11-1-111-1-111−ii
χ111-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-1111-1-1-1-111−ii
χ121-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1-1-11111-1-1i−i
χ131-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-111-1-1-11111-1-1−ii
χ141-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-1111-1-1-1-111i−i
χ151-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11-1-111-1-111i−i
χ161-1-1-1111-11111-1-11111-1-1-1-1-1-1-1-111111-1-1-11-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-111-1-111-1-1−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-200000000000000000000000022-2-222-2-200000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2000000000000000000000000-2-222-2-22200000000000000
χ19222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-100000000222222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ20222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-10000000022222222-2-2-2-211-2-211-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ21222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-100000000-2-2-2-2-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ22222222222-1222222-1-1222-1-1-12-12-1-1-1-1-1-1-1-1-122-1-12-12-100000000-2-2-2-2-2-2-2-2-2-2-2-211-2-211-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ2322222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12222222220000000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ2422222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-122222222200000000-2-211-2-211-2-2-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ2522222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-2-2-2-2-2-2-20000000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ2622222222-122222-1-122-1-1-1222-12-12-1-1-1-1-1-1-1-1-1-122-12-12-2-2-2-2-2-2-2-200000000-2-211-2-211-2-2-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ27222-22-2-2-22200002-22-222-222-2-2-2-2-222-222-2-2-20000000022−2−222−2−222−2−222−2−2000000000000000000000022−2−222−2−222−2−222−2−2002-2002-200000000000000
χ28222-22-2-2-22200002-22-222-222-2-2-2-2-222-222-2-2-20000000022−2−222−2−2−2−222−2−222000000000000000000000022−2−222−2−2−2−222−2−22200-2200-2200000000000000
χ29222-22-2-2-22200002-22-222-222-2-2-2-2-222-222-2-2-200000000−2−222−2−22222−2−222−2−20000000000000000000000−2−222−2−22222−2−222−2−200-2200-2200000000000000
χ30222-22-2-2-22200002-22-222-222-2-2-2-2-222-222-2-2-200000000−2−222−2−222−2−222−2−2220000000000000000000000−2−222−2−222−2−222−2−222002-2002-200000000000000
χ3122-22-22-2-2220000-22-222-222-22-2-2-2-22-222-22-2-2000000002−22−22−22−22−22−22−22−200000000000000000000002−22−22−22−22−22−22−22−22-2002-20000000000000000
χ3222-22-22-2-2220000-22-222-222-22-2-2-2-22-222-22-2-2000000002−22−22−22−2−22−22−22−2200000000000000000000002−22−22−22−2−22−22−22−22-2200-220000000000000000
χ3322-22-22-2-2220000-22-222-222-22-2-2-2-22-222-22-2-200000000−22−22−22−222−22−22−22−20000000000000000000000−22−22−22−222−22−22−22−2-2200-220000000000000000
χ3422-22-22-2-2220000-22-222-222-22-2-2-2-22-222-22-2-200000000−22−22−22−22−22−22−22−220000000000000000000000−22−22−22−22−22−22−22−222-2002-20000000000000000
χ3522-2-2-2-222222-22-2-2-2-2-22-2-22-2-222222-2-22-2-2222-22-22-2-22000000002-2-222-2-2200000000002-22-200000000000000002-2-222-2-220000000000000000000000
χ3622-2-2-2-222222-22-2-2-2-2-22-2-22-2-222222-2-22-2-2222-22-22-2-2200000000-222-2-222-200000000002-22-20000000000000000-222-2-222-20000000000000000000000
χ3722-2-2-2-22222-22-22-2-2-2-22-2-22-2-222222-2-22-2-222-22-22-222-22-2-222-2-22000000000000000000-22-22000000002-2-222-2-22000000000000000000000000000000
χ3822-2-2-2-22222-22-22-2-2-2-22-2-22-2-222222-2-22-2-222-22-22-222-2-222-2-222-2000000000000000000-22-2200000000-222-2-222-2000000000000000000000000000000
χ3922-2-2-2-2222-12-22-2-2-2112-2-2-1112-12-1-111-111-1-12-2-1121-2-1000000002-2-222-2-220000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i300000000-111-1-111-10000000000000000−i3i3−i3i300
χ4022-2-2-2-2222-12-22-2-2-2112-2-2-1112-12-1-111-111-1-12-2-1121-2-1000000002-2-222-2-220000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i300000000-111-1-111-10000000000000000i3−i3i3−i300
χ4122-2-2-2-2222-12-22-2-2-2112-2-2-1112-12-1-111-111-1-12-2-1121-2-100000000-222-2-222-20000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i3000000001-1-111-1-110000000000000000i3−i3i3−i300
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χ4322-2-2-2-222-12-22-2211-2-2-1112-2-2-12-12-111-111-1-11-1-2212-1-22-2-222-2-220000000000−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i3-111-1-111-100000000000000000000−i3i3−i3i3000000
χ4422-2-2-2-222-12-22-2211-2-2-1112-2-2-12-12-111-111-1-11-1-2212-1-22-2-222-2-220000000000i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i3-111-1-111-100000000000000000000i3−i3i3−i3000000
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χ472-222-2-22-2222-2-22-2-2-2-2-222-222-2-2222-2-2-2222-22-22-2-222-2000000002i−2i−2i2i−2i2i2i−2i00000000002-2-2200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ482-222-2-22-2222-2-22-2-2-2-2-222-222-2-2222-2-2-2222-22-22-2-222-200000000−2i2i2i−2i2i−2i−2i2i00000000002-2-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ492-222-2-22-222-222-2-2-2-2-2-222-222-2-2222-2-2-2222-2-22-222-2-222i−2i−2i2i−2i2i2i−2i000000000000000000-222-2000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ502-222-2-22-222-222-2-2-2-2-2-222-222-2-2222-2-2-2222-2-22-222-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000-222-200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ512-222-2-22-22-12-2-22-2-211-2221-1-1-212-1-1111-1-1-112-2-11-2-121000000002i−2i−2i2i−2i2i2i−2i00003−300−33-111-133−3−3−3−33300000000−iii−ii−i−ii0000000000000000−i3i3i3−i300
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χ552-222-2-22-2-12-222-211-2-21-1-1-2221-2-12-1111-1-1-111-1-22-1-2122i−2i−2i2i−2i2i2i−2i00000000003−300−33001-1-113−33−3−33−33−iii−ii−i−ii00000000000000000000−i3i3i3−i3000000
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χ582-222-2-22-2-12-222-211-2-21-1-1-2221-2-12-1111-1-1-111-1-22-1-212−2i2i2i−2i2i−2i−2i2i0000000000−33003−3001-1-11−33−333−33−3i−i−ii−iii−i00000000000000000000−i3i3i3−i3000000
χ592-22-2-22-22220000-22-22-22-2-22-222-2-22-22-22-2-2200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22-200-220000000000000000
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χ662-2-222-2-222200002-22-2-2-22-2-2222-2-222-2-2-22-2200000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2002-200-2200000000000000
χ672-2-2-2222-222-2-2222222-2-2-2-2-2-2-2-222222-2-2-22-2-2-2-2-2222200000000000000000000000000-2-22200000000000000000000000022-2-2-2-22200000000000000
χ682-2-2-2222-222-2-2222222-2-2-2-2-2-2-2-222222-2-2-22-2-2-2-2-2222200000000000000000000000000-2-222000000000000000000000000-2-22222-2-200000000000000
χ692-2-2-2222-22-122-2-222-1-1-2-2-2111-212-1-1-1-1111-1122-1-1-21-21000000002i2i2i2i−2i−2i−2i−2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00000000−i−i−i−iiiii00000000002-20000-1-11100
χ702-2-2-2222-22-122-2-222-1-1-2-2-2111-212-1-1-1-1111-1122-1-1-21-21000000002i2i2i2i−2i−2i−2i−2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00000000−i−i−i−iiiii0000000000-22000011-1-100
χ712-2-2-2222-22-122-2-222-1-1-2-2-2111-212-1-1-1-1111-1122-1-1-21-2100000000−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00000000iiii−i−i−i−i0000000000-22000011-1-100
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χ752-2-2-2222-2-1222-2-2-1-122111-2-2-21-2-12-1-1-1111-11-1-1221-21-2−2i−2i−2i−2i2i2i2i2i000000002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiiiiiii−i−i−i−i0000000000000000-220011-1-1000000
χ762-2-2-2222-2-1222-2-2-1-122111-2-2-21-2-12-1-1-1111-11-1-1221-21-2−2i−2i−2i−2i2i2i2i2i00000000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−iiiii−i−i−i−i00000000000000002-200-1-111000000
χ77444444444-2-4-4-4-444-2-2444-2-2-24-24-2-2-2-2-2-2-2-2-2-4-422-42-420000000000000000000000000022220000000000000000000000000000000000000000000000
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χ8244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111112222222200000000000000000000000000-1-1-1-1-333-3-333-300000000000000000000000000000000000000
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χ9444-4-4-4-444-2-24-44-42222-222-222-2-2-2-21-1-11-1-111-22-22-222-2000000000000000000002i3−2i3002i3−2i31-11-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ9544-4-4-4-444-2-2-44-442222-222-222-2-2-2-21-1-11-1-1112-22-22-2-22000000000000000000−2i32i300−2i32i300-11-11i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000
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χ1054-44-4-44-44-2400002-2-442-22-44-4-242-4-22-22-222-200000000−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2000000000000000000000000000000
χ1064-44-4-44-44-2400002-2-442-22-44-4-242-4-22-22-222-2000000002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2000000000000000000000000000000
χ1074-4-444-4-444-200004-4-22-4-4422-24-2-42-2-2222-22-20000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ1084-4-444-4-444-200004-4-22-4-4422-24-2-42-2-2222-22-200000000000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000000000000000000000
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χ1104-4-444-4-44-240000-224-422-2-4-44-242-4-2-2222-22-2000000002i22i2−2i2−2i2−2i2−2i22i22i2000000000000000000000000000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000000000
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χ1134-4-4-4444-4-2-244-4-4-2-2-2-222222222-2-2111-1-1-11-1-2-2-2-2222200000000000000004i−4i−2i−2i−2i−2i2i2i2i2i11-1-1iiii−i−i−i−i00000000000000000000000000000000000000
χ1144-4-4-4444-4-2-244-4-4-2-2-2-222222222-2-2111-1-1-11-1-2-2-2-222220000000000000000−4i4i2i2i2i2i−2i−2i−2i−2i11-1-1−i−i−i−iiiii00000000000000000000000000000000000000
χ1154-4-4-4444-4-2-2-4-444-2-2-2-222222222-2-2111-1-1-11-12222-2-2-2-200000000000000000000000000-1-1113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ1164-4-4-4444-4-2-2-4-444-2-2-2-222222222-2-2111-1-1-11-12222-2-2-2-200000000000000000000000000-1-111−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ117888-88-8-8-8-4-40000-44-44-4-44-4-44444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-88-88-8-8-4-400004-44-4-44-4-44-444442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-88-88-4-400004-44-44-444-44-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-888-8-88-4-40000-44-4444-444-4-4-44422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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