Finite Group Databasebeta

← Group #11790786

Character table — Group #11790786

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122244442233446666661212121212121212366666661212121212121212444444444444444466881212242424242424242424242424242424241212121212121212121212121212121244444444224466661212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111
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
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1i−i11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-11111-1-1-1-1i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1−ii11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-11111−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1i−i11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-1111-1-1-1-111−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1−ii11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1-1-11111-1-1i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-111-1-1-11111-1-1−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-1111-1-1-1-111i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1i−i11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-11111i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1−ii11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-11111-1-1-1-1−ii
χ1722222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-10000000022222222-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000020200-1-100-1-100
χ1822222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-10000000022222222-1-1-2-2-1-1-2-211-2-2111111111100000000-1-1-1-1-1-1-1-1000000000-20-20011001100
χ1922222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000011111111000000000-20-20011001100
χ2022222222222-12222-1-12-122-1-122-1-1-12-1-1-1-12-122-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-2-2-1-1-2-211-2-21111111111000000001111111100000000020200-1-100-1-100
χ212222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-12222222200000000-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002020-1-100-1-10000
χ222222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-12222222200000000-1-1-2-2-1-111-2-211-2-211111111-1-1-1-1-1-1-1-10000000000000000-20-201100110000
χ232222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-2-2-200000000-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1111111110000000000000000-20-201100110000
χ242222222222-1222-1-122-12-1-122-1-122-1-12-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-2-2-1-111-2-211-2-2111111111111111100000000000000002020-1-100-1-10000
χ2522222222-2-222-2-2222222222222222-2-2222-2-2-2-2-2-222220000000000000000-2-200-2-20000000000000000000000000000000022-2-222-2-200000000000000
χ2622222222-2-222-2-2222222222222222-2-2222-2-2-2-2-2-222220000000000000000-2-200-2-200000000000000000000000000000000-2-222-2-22200000000000000
χ272222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002200-2-20000000000000000000000000000000022-2-2-2-22200000000000000
χ282222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002200-2-200000000000000000000000000000000-2-22222-2-200000000000000
χ292222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-11111000000002i2i2i2i−2i−2i−2i−2i112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii00000000−i−i−i−iiiii00000000020-200-1-1001100
χ302222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-11111000000002i2i2i2i−2i−2i−2i−2i11−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i00000000−i−i−i−iiiii000000000-202001100-1-100
χ312222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-1111100000000−2i−2i−2i−2i2i2i2i2i112i−2i-1-12i2i−i−i−2i−2iii−i−i−i−iiiii00000000iiii−i−i−i−i000000000-202001100-1-100
χ322222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-21-1-1-1-2122-1-1111100000000−2i−2i−2i−2i2i2i2i2i11−2i2i-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i00000000iiii−i−i−i−i00000000020-200-1-1001100
χ332222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-12211112i2i2i2i−2i−2i−2i−2i00000000112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000020-20-1-100110000
χ342222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-12211112i2i2i2i−2i−2i−2i−2i0000000011−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000-20201100-1-10000
χ352222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-1221111−2i−2i−2i−2i2i2i2i2i00000000112i−2i-1-1−i−i2i2iii−2i−2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000-20201100-1-10000
χ362222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-11-2-1-1-11-2-1-1221111−2i−2i−2i−2i2i2i2i2i0000000011−2i2i-1-1ii−2i−2i−i−i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000020-20-1-100110000
χ3722-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-222-2-2-22-222-22-222-2-22i2i−2i−2i2i2i−2i−2i000000002-2002-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000
χ3822-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-222-2-2-22-222-22-222-2-2−2i−2i2i2i−2i−2i2i2i000000002-2002-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000
χ3922-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-1-1-211-112-112-2-1-1112i2i−2i−2i2i2i−2i−2i00000000-1100-113−3003−30033−3−333−3−3−i−iii−i−iii00000000000000000000−i3i300−i3i30000
χ4022-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-1-1-211-112-112-2-1-1112i2i−2i−2i2i2i−2i−2i00000000-1100-11−3300−3300−3−333−3−333−i−iii−i−iii00000000000000000000i3−i300i3−i30000
χ4122-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-1-1-211-112-112-2-1-111−2i−2i2i2i−2i−2i2i2i00000000-1100-113−3003−30033−3−333−3−3ii−i−iii−i−i00000000000000000000i3−i300i3−i30000
χ4222-2-222-2-22-2-122-211-2-2-12-1-12211-2-2-1-1-211-112-112-2-1-111−2i−2i2i2i−2i−2i2i2i00000000-1100-11−3300−3300−3−333−3−333ii−i−iii−i−i00000000000000000000−i3i300−i3i30000
χ4322-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-2-222-2-22-2222-2-2000000002i2i−2i−2i2i2i−2i−2i-2200-220000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ4422-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-2-222-2-22-2222-2-200000000−2i−2i2i2i−2i−2i2i2i-2200-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ4522-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1-2-111-121-221-1-1-111000000002i2i−2i−2i2i2i−2i−2i1-1001-1003−3003−33−33−33−33−300000000−i−iii−i−iii00000000000000−i3i300−i3i300
χ4622-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1-2-111-121-221-1-1-111000000002i2i−2i−2i2i2i−2i−2i1-1001-100−3300−33−33−33−33−3300000000−i−iii−i−iii00000000000000i3−i300i3−i300
χ4722-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1-2-111-121-221-1-1-11100000000−2i−2i2i2i−2i−2i2i2i1-1001-1003−3003−33−33−33−33−300000000ii−i−iii−i−i00000000000000i3−i300i3−i300
χ4822-2-222-2-2-222-1-22-2-2112-122-1-1-2-211-1-2-111-121-221-1-1-11100000000−2i−2i2i2i−2i−2i2i2i1-1001-100−3300−33−33−33−33−3300000000ii−i−iii−i−i00000000000000−i3i300−i3i300
χ4922-2-2-2-2222-222-22-2-2-2-222-2-2-2-2222222-2-2-22-22-22-22-2-2220000000022-2-2-2-2222-200-2200000000000000000000000022-2-2-2-2220000000000000000000000
χ5022-2-2-2-2222-222-22-2-2-2-222-2-2-2-2222222-2-2-22-22-22-22-2-22200000000-2-22222-2-22-200-22000000000000000000000000-2-22222-2-20000000000000000000000
χ5122-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12111-1-2-1-221-111-1-10000000022-2-2-2-222-11001-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i300000000-1-11111-1-100000000000000−i3i300i3−i300
χ5222-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12111-1-2-1-221-111-1-10000000022-2-2-2-222-11001-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i300000000-1-11111-1-100000000000000i3−i300−i3i300
χ5322-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12111-1-2-1-221-111-1-100000000-2-22222-2-2-11001-100−i3i300i3−i3−i3i3−i3i3i3−i3i3−i30000000011-1-1-1-11100000000000000i3−i300−i3i300
χ5422-2-2-2-2222-22-1-22-2-2112-1-2-21122-1-1-12111-1-2-1-221-111-1-100000000-2-22222-2-2-11001-100i3−i300−i3i3i3−i3i3−i3−i3i3−i3i30000000011-1-1-1-11100000000000000−i3i300i3−i300
χ5522-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-2-222-22-22-2-2-22222-2-2-2-22200000000-22002-2000000000000000022-2-2-2-222000000000000000000000000000000
χ5622-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-2-222-22-22-2-2-222-2-22222-2-200000000-22002-20000000000000000-2-22222-2-2000000000000000000000000000000
χ5722-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-11211-1-1-2-112-211-1-122-2-2-2-222000000001-100-11−i3i300i3−i300−i3−i3i3i3i3i3−i3−i3-1-11111-1-100000000000000000000−i3i300i3−i30000
χ5822-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-11211-1-1-2-112-211-1-122-2-2-2-222000000001-100-11i3−i300−i3i300i3i3−i3−i3−i3−i3i3i3-1-11111-1-100000000000000000000i3−i300−i3i30000
χ5922-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-11211-1-1-2-112-211-1-1-2-22222-2-2000000001-100-11−i3i300i3−i300−i3−i3i3i3i3i3−i3−i311-1-1-1-11100000000000000000000i3−i300−i3i30000
χ6022-2-2-2-222-22-122-211-2-2-1211-2-2-1-122-11211-1-1-2-112-211-1-1-2-22222-2-2000000001-100-11i3−i300−i3i300i3i3−i3−i3−i3−i3i3i311-1-1-1-11100000000000000000000−i3i300i3−i30000
χ612-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-2-20000002i−2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002-2002i−2i00000000000000
χ622-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-2-20000002i−2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00-2200−2i2i00000000000000
χ632-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-2-20000002i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00-2200−2i2i00000000000000
χ642-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i2002-2-20000002i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002-2002i−2i00000000000000
χ652-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i2002-2-2000000−2i2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i002-200−2i2i00000000000000
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Here i is the imaginary unit (i² = −1).