Finite Group Databasebeta

← Group #11786255

Character table — Group #11786255

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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
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
χ91-1-11-111-111-1-1111111-1-1-1-1-111-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−i
χ101-1-11-111-111-1-1111111-1-1-1-1-111-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-11111-1-1-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii
χ111-1-11-111-111-1-1111111-1-1-1-1-111-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111i−i−ii−i−iiiii−i−i−ii
χ121-1-11-111-111-1-1111111-1-1-1-1-111-1-1-1111-1-1-11-111-1-1-1-1111111-1-1-1-1-1-1-1-11111−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111−iii−iii−i−i−i−iiii−i
χ131-1-11-111-111-1-1111111-1-1-1-1-111-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111−iii−iii−i−i−i−iii−ii
χ141-1-11-111-111-1-1111111-1-1-1-1-111-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-111111111-1-1-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-11111i−i−ii−i−iiiii−i−ii−i
χ151-1-11-111-111-1-1111111-1-1-1-1-111-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−ii−i−iii−i−iiii−i
χ161-1-11-111-111-1-1111111-1-1-1-1-111-1-1-1111-1-1-11-111-1-1-1-111-1-1-1-11111-1-1-1-11111−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−iii−i−iii−i−i−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
χ19222222222-1222222-1-1222-1-12-1-1-12-1-1-1-1-1-1-1-12-122-1-12-1000000002222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000022-1-1-1-1000000
χ20222222222-1222222-1-1222-1-12-1-1-12-1-1-1-1-1-1-1-12-122-1-12-10000000022222222-2-21111-2-2-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-21111000000
χ21222222222-1222222-1-1222-1-12-1-1-12-1-1-1-1-1-1-1-12-122-1-12-100000000-2-2-2-2-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-21111000000
χ22222222222-1222222-1-1222-1-12-1-1-12-1-1-1-1-1-1-1-12-122-1-12-100000000-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-1-1-1-1111111110000000011111111000000000022-1-1-1-1000000
χ2322222222-122222-1-122-1-1-122-1222-1-1-1-1-1-1-1-1-1-12-1-122-122222222200000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022000000-1-1-1-100
χ2422222222-122222-1-122-1-1-122-1222-1-1-1-1-1-1-1-1-1-12-1-122-122222222200000000-2-2-2-2-2-21111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2000000111100
χ2522222222-122222-1-122-1-1-122-1222-1-1-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-2-2-200000000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2000000111100
χ2622222222-122222-1-122-1-1-122-1222-1-1-1-1-1-1-1-1-1-12-1-122-12-2-2-2-2-2-2-2-200000000-2-2-2-2-2-21111-1-1-1-11111111111111111000000000000000022000000-1-1-1-100
χ272222-2-2-2-2222-22-2-2-2-2-222-22222-2-2-22-2-222-22-22-22-22-2-220000000022-2-222-2-200000000002-22-2000000000000000022-2-222-2-20000000000000000000000
χ282222-2-2-2-2222-22-2-2-2-2-222-22222-2-2-22-2-222-22-22-22-22-2-2200000000-2-222-2-22200000000002-22-20000000000000000-2-222-2-2220000000000000000000000
χ292222-2-2-2-222-22-22-2-2-2-222-22222-2-2-22-2-222-22-2-22-22-222-222-2-222-2-2000000000000000000-22-220000000022-2-222-2-2000000000000000000000000000000
χ302222-2-2-2-222-22-22-2-2-2-222-22222-2-2-22-2-222-22-2-22-22-222-2-2-222-2-222000000000000000000-22-2200000000-2-222-2-222000000000000000000000000000000
χ312222-2-2-2-22-12-22-2-2-21122-2-1-12-111-2-111-1-11-11212-2-11-2-10000000022-2-222-2-2003−33−30000-11-1133−3−333−3−300000000-1-111-1-1110000000000003−33−3000000
χ322222-2-2-2-22-12-22-2-2-21122-2-1-12-111-2-111-1-11-11212-2-11-2-10000000022-2-222-2-200−33−330000-11-11−3−333−3−33300000000-1-111-1-111000000000000−33−33000000
χ332222-2-2-2-22-12-22-2-2-21122-2-1-12-111-2-111-1-11-11212-2-11-2-100000000-2-222-2-222003−33−30000-11-1133−3−333−3−30000000011-1-111-1-1000000000000−33−33000000
χ342222-2-2-2-22-12-22-2-2-21122-2-1-12-111-2-111-1-11-11212-2-11-2-100000000-2-222-2-22200−33−330000-11-11−3−333−3−3330000000011-1-111-1-10000000000003−33−3000000
χ352222-2-2-2-2-12-22-2211-2-2-1-1122-12-2-21-111-1-11-11121-1-22-1-222-2-222-2-2000000000000003−33−31-11-13−33−33−33−3-1-111-1-1110000000000000000000000003−33−300
χ362222-2-2-2-2-12-22-2211-2-2-1-1122-12-2-21-111-1-11-11121-1-22-1-222-2-222-2-200000000000000−33−331-11-1−33−33−33−33-1-111-1-111000000000000000000000000−33−3300
χ372222-2-2-2-2-12-22-2211-2-2-1-1122-12-2-21-111-1-11-11121-1-22-1-2-2-222-2-222000000000000003−33−31-11-13−33−33−33−311-1-111-1-1000000000000000000000000−33−3300
χ382222-2-2-2-2-12-22-2211-2-2-1-1122-12-2-21-111-1-11-11121-1-22-1-2-2-222-2-22200000000000000−33−331-11-1−33−33−33−3311-1-111-1-10000000000000000000000003−33−300
χ3922-2-222-2-22200002-22-22-2-22-2-2-22-2222-22-2-2-22000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000000000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2002i−2i002i−2i00000000000000
χ4022-2-222-2-22200002-22-22-2-22-2-2-22-2222-22-2-2-22000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000000000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200−2i2i00−2i2i00000000000000
χ4122-2-222-2-22200002-22-22-2-22-2-2-22-2222-22-2-2-2200000000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200−2i2i00−2i2i00000000000000
χ4222-2-222-2-22200002-22-22-2-22-2-2-22-2222-22-2-2-2200000000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2002i−2i002i−2i00000000000000
χ4322-2-2-2-222220000-22-222-222-2-2-2-22-22-222-22-2-2000000002−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000000000000000002−2−222−2−22−i2i2i2−i2−i2i2i2−i22i−2i002i−2i0000000000000000
χ4422-2-2-2-222220000-22-222-222-2-2-2-22-22-222-22-2-2000000002−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000000000000000002−2−222−2−22i2−i2−i2i2i2−i2−i2i2−2i2i00−2i2i0000000000000000
χ4522-2-2-2-222220000-22-222-222-2-2-2-22-22-222-22-2-200000000−222−2−222−2−i2i2i2−i2−i2i2i2−i20000000000000000000000−222−2−222−2−i2i2i2−i2−i2i2i2−i2−2i2i00−2i2i0000000000000000
χ4622-2-2-2-222220000-22-222-222-2-2-2-22-22-222-22-2-200000000−222−2−222−2i2−i2−i2i2i2−i2−i2i20000000000000000000000−222−2−222−2i2−i2−i2i2i2−i2−i2i22i−2i002i−2i0000000000000000
χ472-22-22-22-2220000-22-22-22-2-22-2-22-222-22-22-2-22000000002−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000000000000000002−2−22−222−2−i2i2i2−i2i2−i2−i2i22i−2i00−2i2i0000000000000000
χ482-22-22-22-2220000-22-22-22-2-22-2-22-222-22-22-2-22000000002−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000000000000000002−2−22−222−2i2−i2−i2i2−i2i2i2−i2−2i2i002i−2i0000000000000000
χ492-22-22-22-2220000-22-22-22-2-22-2-22-222-22-22-2-2200000000−222−22−2−22−i2i2i2−i2i2−i2−i2i20000000000000000000000−222−22−2−22−i2i2i2−i2i2−i2−i2i2−2i2i002i−2i0000000000000000
χ502-22-22-22-2220000-22-22-22-2-22-2-22-222-22-22-2-2200000000−222−22−2−22i2−i2−i2i2−i2i2i2−i20000000000000000000000−222−22−2−22i2−i2−i2i2−i2i2i2−i22i−2i00−2i2i0000000000000000
χ512-22-2-22-222200002-22-2-222-22-2-2-22-222-2-222-2-2000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i2002i−2i00−2i2i00000000000000
χ522-22-2-22-222200002-22-2-222-22-2-2-22-222-2-222-2-2000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000000000000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i200−2i2i002i−2i00000000000000
χ532-22-2-22-222200002-22-2-222-22-2-2-22-222-2-222-2-200000000−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000000000−22−222−22−2−i2i2−i2i2i2−i2i2−i200−2i2i002i−2i00000000000000
χ542-22-2-22-222200002-22-2-222-22-2-2-22-222-2-222-2-200000000−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000000000−22−222−22−2i2−i2i2−i2−i2i2−i2i2002i−2i00−2i2i00000000000000
χ552-2-222-2-22222-2-22-2-2-2-2-2-22-2-2222222-2-2-2-2222-222-22-22-222-2-2-2-222000000000000000000-222-20000000022-2-2-2-222000000000000000000000000000000
χ562-2-222-2-22222-2-22-2-2-2-2-2-22-2-2222222-2-2-2-2222-222-22-22-2-2-22222-2-2000000000000000000-222-200000000-2-22222-2-2000000000000000000000000000000
χ572-2-222-2-2222-222-2-2-2-2-2-2-22-2-2222222-2-2-2-22222-2-22-22-220000000022-2-2-2-22200000000002-2-22000000000000000022-2-2-2-2220000000000000000000000
χ582-2-222-2-2222-222-2-2-2-2-2-2-22-2-2222222-2-2-2-22222-2-22-22-2200000000-2-22222-2-200000000002-2-220000000000000000-2-22222-2-20000000000000000000000
χ592-2-222-2-222-1-222-2-2-211-2-22112-1-1-12-11111-1-1-121-221-1-2-10000000022-2-2-2-22200−i3i3i3−i30000-111-1−i3−i3i3i3i3i3−i3−i300000000-1-11111-1-1000000000000−i3i3i3−i3000000
χ602-2-222-2-222-1-222-2-2-211-2-22112-1-1-12-11111-1-1-121-221-1-2-10000000022-2-2-2-22200i3−i3−i3i30000-111-1i3i3−i3−i3−i3−i3i3i300000000-1-11111-1-1000000000000i3−i3−i3i3000000
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χ622-2-222-2-222-1-222-2-2-211-2-22112-1-1-12-11111-1-1-121-221-1-2-100000000-2-22222-2-200i3−i3−i3i30000-111-1i3i3−i3−i3−i3−i3i3i30000000011-1-1-1-111000000000000−i3i3i3−i3000000
χ632-2-222-2-22-122-2-2211-2-211-1-2-2-1222-1-11111-1-1-112-112-2-1-222-2-2-2-22200000000000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i3-1-11111-1-1000000000000000000000000−i3i3i3−i300
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χ652-2-222-2-22-122-2-2211-2-211-1-2-2-1222-1-11111-1-1-112-112-2-1-2-2-22222-2-200000000000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i311-1-1-1-111000000000000000000000000i3−i3−i3i300
χ662-2-222-2-22-122-2-2211-2-211-1-2-2-1222-1-11111-1-1-112-112-2-1-2-2-22222-2-200000000000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i311-1-1-1-111000000000000000000000000−i3i3i3−i300
χ672-2-22-222-22222-2-22222-2-2-2-2-222-2-2-2222-2-2-22-2-2-22222-2-200000000000000000000000000-2-22200000000000000000000000022-2-2-2-22200000000000000
χ682-2-22-222-22222-2-22222-2-2-2-2-222-2-2-2222-2-2-22-2-2-22222-2-200000000000000000000000000-2-222000000000000000000000000-2-22222-2-200000000000000
χ692-2-22-222-22-1-2-22222-1-1-2-2-2112-111-2-1-1-1111-112-1-2-2112-1000000002222-2-2-2-22i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii00000000-1-1-1-1111100000000002i−2i−i−iii000000
χ702-2-22-222-22-1-2-22222-1-1-2-2-2112-111-2-1-1-1111-112-1-2-2112-1000000002222-2-2-2-2−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i00000000-1-1-1-111110000000000−2i2iii−i−i000000
χ712-2-22-222-22-1-2-22222-1-1-2-2-2112-111-2-1-1-1111-112-1-2-2112-100000000-2-2-2-222222i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii000000001111-1-1-1-10000000000−2i2iii−i−i000000
χ722-2-22-222-22-1-2-22222-1-1-2-2-2112-111-2-1-1-1111-112-1-2-2112-100000000-2-2-2-22222−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i000000001111-1-1-1-100000000002i−2i−i−iii000000
χ732-2-22-222-2-12-2-222-1-122111-2-2-12-2-21-1-1-1111-11-1211-2-2-122222-2-2-2-2000000002i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii-1-1-1-1111100000000000000002i−2i000000−i−iii00
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χ752-2-22-222-2-12-2-222-1-122111-2-2-12-2-21-1-1-1111-11-1211-2-2-12-2-2-2-22222000000002i−2i2i2i−2i−2i−i−iii-1-111−i−i−i−iiiii1111-1-1-1-10000000000000000−2i2i000000ii−i−i00
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χ1154-4-44-444-4-2-2-4-444-2-2-2-222222-2-2222111-1-1-11-1-2-22222-2-200000000000000004i−4i−2i−2i2i2i−2i−2i2i2i11-1-1iiii−i−i−i−i00000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).