Finite Group Databasebeta

← Group #11789051

Character table — Group #11789051

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444444448888888824242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ911-11-1-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i11-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i11-1-1i−i1-1
χ1011-11-1-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−i-1-11111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−i-1-111−ii-11
χ1111-11-1-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii11-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii11-1-1−ii-11
χ1211-11-1-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii-1-111-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−i−i−iii-1-111i−i1-1
χ1311-11-1-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i11-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i11-1-1i−i-11
χ1411-11-1-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−i-1-111-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i−i−iiiii−i−i-1-111−ii1-1
χ1511-11-1-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii11-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii11-1-1−ii1-1
χ1611-11-1-1-11111-11-1111-1-1-1-1-111-1-11-1111-1-1-11-1111-1-1-11-1−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii-1-11111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii-1-111i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-1222222-122-1-1-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ20222222222-1222222-122-1-1-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000111111110000000011110000
χ21222222222-1222222-122-1-1-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-1-2-2-2-211-2-211-1-1-1-111111111000022220000-2-2-2-2000000001111111100000000-1-1-1-10000
χ22222222222-1222222-122-1-1-12-12-1-12-1-1-1-1-1-1-1-12-1-122-12-1-2-2-2-211-2-211-1-1-1-1111111110000-2-2-2-20000222200000000-1-1-1-1-1-1-1-10000000011110000
χ2322222222-122222-1-12-1-1222-12-122-1-1-1-1-1-1-1-1-1-122-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ2422222222-122222-1-12-1-1222-12-122-1-1-1-1-1-1-1-1-1-122-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000011111111000000000000111100000000
χ2522222222-122222-1-12-1-1222-12-122-1-1-1-1-1-1-1-1-1-122-1-12-12-2-211-2-211-2-2-1-1-1-11111111122220000-2-2-2-2000011111111000000000000-1-1-1-100000000
χ2622222222-122222-1-12-1-1222-12-122-1-1-1-1-1-1-1-1-1-122-1-12-12-2-211-2-211-2-2-1-1-1-111111111-2-2-2-2000022220000-1-1-1-1-1-1-1-1000000000000111100000000
χ2722-22-2-2-2222-22-22222-2-2-2-2-222-2-22-2222-2-2-22-2-2-2-2222-220000000000-2-22200000000000000000000000000000000000000002i2i−2i−2i00000000−2i2i00
χ2822-22-2-2-2222-22-22222-2-2-2-2-222-2-22-2222-2-2-22-2-2-2-2222-220000000000-2-2220000000000000000000000000000000000000000−2i−2i2i2i000000002i−2i00
χ2922-22-2-2-222-12-22-222-1-2-21112-1-21-1-2-1-1-1111-112-1-1-2-21212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii000022-2-200002i2i−2i−2i00000000−i−i−i−iiiii00000000-1-1110000
χ3022-22-2-2-222-12-22-222-1-2-21112-1-21-1-2-1-1-1111-112-1-1-2-21212i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii0000-2-2220000−2i−2i2i2i00000000iiii−i−i−i−i0000000011-1-10000
χ3122-22-2-2-222-12-22-222-1-2-21112-1-21-1-2-1-1-1111-112-1-1-2-2121−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i000022-2-20000−2i−2i2i2i00000000iiii−i−i−i−i00000000-1-1110000
χ3222-22-2-2-222-12-22-222-1-2-21112-1-21-1-2-1-1-1111-112-1-1-2-2121−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i0000-2-22200002i2i−2i−2i00000000−i−i−i−iiiii0000000011-1-10000
χ3322-22-2-2-22-122-22-2-1-1211-2-2-2-121-221-1-1-1111-11-12211-2-1-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii2i2i−2i−2i000022-2-20000-1-1-1-11111000000000000−i−iii00000000
χ3422-22-2-2-22-122-22-2-1-1211-2-2-2-121-221-1-1-1111-11-12211-2-1-22i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii−2i−2i2i2i0000-2-22200001111-1-1-1-1000000000000ii−i−i00000000
χ3522-22-2-2-22-122-22-2-1-1211-2-2-2-121-221-1-1-1111-11-12211-2-1-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i2i2i−2i−2i0000-2-22200001111-1-1-1-1000000000000−i−iii00000000
χ3622-22-2-2-22-122-22-2-1-1211-2-2-2-121-221-1-1-1111-11-12211-2-1-2−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i−2i−2i2i2i000022-2-20000-1-1-1-11111000000000000ii−i−i00000000
χ372-2222-2-2-22222-2-2-2-2-22-222-222-2-2-222-2-222-22-222-22-22-2-200000000002-22-2000000002-22-2000000000000000000000000000000002-22-200000000
χ382-2222-2-2-22222-2-2-2-2-22-222-222-2-2-222-2-222-22-222-22-22-2-200000000002-22-200000000-22-2200000000000000000000000000000000-22-2200000000
χ392-2222-2-2-222-2-222-2-2-22-222-222-2-2-222-2-222-22-2-2-22-22-2220000000000-22-220000000000002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i0000
χ402-2222-2-2-222-2-222-2-2-22-222-222-2-2-222-2-222-22-2-2-22-22-2220000000000-22-22000000000000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i0000
χ412-2222-2-2-22-1-2-222-2-212-2-1-112-1-2112-111-1-11-11-21-1-2212-100003−3003−31-11-133−3−333−3−300002i−2i2i−2i0000000000000000−i3−i3i3i3−i3−i3i3i300000000−ii−ii0000
χ422-2222-2-2-22-1-2-222-2-212-2-1-112-1-2112-111-1-11-11-21-1-2212-100003−3003−31-11-133−3−333−3−30000−2i2i−2i2i0000000000000000i3i3−i3−i3i3i3−i3−i300000000i−ii−i0000
χ432-2222-2-2-22-1-2-222-2-212-2-1-112-1-2112-111-1-11-11-21-1-2212-10000−3300−331-11-1−3−333−3−33300002i−2i2i−2i0000000000000000i3i3−i3−i3i3i3−i3−i300000000−ii−ii0000
χ442-2222-2-2-22-1-2-222-2-212-2-1-112-1-2112-111-1-11-11-21-1-2212-10000−3300−331-11-1−3−333−3−3330000−2i2i−2i2i0000000000000000−i3−i3i3i3−i3−i3i3i300000000i−ii−i0000
χ452-2222-2-2-2-1222-2-211-2-1122-2-121-2-2-1-111-1-11-11-12-2-1121-2003−3003−300-11-113−33−33−33−32-22-200000000000033−3−333−3−3000000000000-11-1100000000
χ462-2222-2-2-2-1222-2-211-2-1122-2-121-2-2-1-111-1-11-11-12-2-1121-2003−3003−300-11-113−33−33−33−3-22-22000000000000−3−333−3−3330000000000001-11-100000000
χ472-2222-2-2-2-1222-2-211-2-1122-2-121-2-2-1-111-1-11-11-12-2-1121-200−3300−3300-11-11−33−33−33−332-22-2000000000000−3−333−3−333000000000000-11-1100000000
χ482-2222-2-2-2-1222-2-211-2-1122-2-121-2-2-1-111-1-11-11-12-2-1121-200−3300−3300-11-11−33−33−33−33-22-2200000000000033−3−333−3−30000000000001-11-100000000
χ492-22-2-22-222200002-2-2222-22-2-2-2-22-222-22-22-2-2000000000000000000000000000000000000002−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i000000000000
χ502-22-2-22-222200002-2-2222-22-2-2-2-22-222-22-22-2-2000000000000000000000000000000000000002−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i000000000000
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χ522-22-2-22-222200002-2-2222-22-2-2-2-22-222-22-22-2-200000000000000000000000000000000000000−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i22i−2i2i−2i000000000000
χ532-2-22-222-2222-2-22-2-2-2-22-2-222222-2-22-2-2-2-222222-2-22-2-2200000000002-2-22000000002i−2i−2i2i000000000000000000000000000000002i−2i−2i2i00000000
χ542-2-22-222-2222-2-22-2-2-2-22-2-222222-2-22-2-2-2-222222-2-22-2-2200000000002-2-2200000000−2i2i2i−2i00000000000000000000000000000000−2i2i2i−2i00000000
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χ572-2-22-222-22-1-222-2-2-21-2211-12-12-11-2-11111-1-1-1-21-12-2-1210000−i3i300i3−i31-1-11−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i0000000000000000−3−33333−3−300000000−iii−i0000
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χ8444-44-4-4-44-2-2-44-44-2-2-222222-2-222-22111-1-1-11-1222-2-2-22-20000000000-1-1113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ8544-44-4-4-44-2-2-44-44-2-2-222222-2-222-22111-1-1-11-1222-2-2-22-20000000000-1-111−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ8644-4-444-4-4440000-444-44-444-4-4-4-4-444-44-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-444-4-44-20000-44-2-442-2-2-42-4224-22-22-2-222000000000000000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i60000000000000000
χ8844-4-444-4-44-20000-44-2-442-2-2-42-4224-22-22-2-222000000000000000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i60000000000000000
χ8944-4-444-4-4-2400002-242-2-4442-42-4-4-2-22-22-2-22200000000000000000000000000000000000000000000006−6−66−666−6000000000000000000000000
χ9044-4-444-4-4-2400002-242-2-4442-42-4-4-2-22-22-2-2220000000000000000000000000000000000000000000000−666−66−6−66000000000000000000000000
χ914-4444-4-4-44-244-4-4-4-424-4-2-224-2-4224-222-2-22-224-224-4-2-420000000000-22-2200000000000000000000000000000000000000000000000000000000
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χ944-4444-4-4-4-2-244-4-4222-22-2-22-2-2222-21-1-111-11-1-2-22-22-22200−232300−2323001-11-13−33−33−33−3000000000000000000000000000000000000000000000000
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χ974-44-4-44-444-200004-4244-22-2-42-42-2-4-2-22-22-222000000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i20000000000000000
χ984-44-4-44-444-200004-4244-22-2-42-42-2-4-2-22-22-2220000000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i20000000000000000
χ994-44-4-44-44-240000-22-4-2-24-442-42-442-2-22-22-2220000000000000000000000000000000000000022−2222−220000−22−22−22−22000000000000000000000000
χ1004-44-4-44-44-240000-22-4-2-24-442-42-442-2-22-22-22200000000000000000000000000000000000000−2222−222200002−22−22−22−2000000000000000000000000
χ1014-4-44-444-44-24-4-44-4-42-4422-24-24-22-4-22222-2-2-24-22-442-4-20000000000-222-200000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-4-24-444-422-42-2-4-44-24-24-42-22222-2-2-22-44-224-2-400000000002-2-2200000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-2-24-4-442222-222-2-2-2-2-2221-1-1-1-1111-2-222-222-200−2i32i3002i3−2i3001-1-11i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ1044-4-44-444-4-2-24-4-442222-222-2-2-2-2-2221-1-1-1-1111-2-222-222-2002i3−2i300−2i32i3001-1-11−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ1054-4-44-444-4-2-2-444-42222-222-2-2-2-2-2221-1-1-1-111122-2-22-2-220000−2i32i3002i3−2i3-111-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ1064-4-44-444-4-2-2-444-42222-222-2-2-2-2-2221-1-1-1-111122-2-22-2-2200002i3−2i300−2i32i3-111-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ1074-4-4-44-4444-200004-42-4-42-22-424-2-24-2-222-222-200000000000000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000
χ1084-4-4-44-4444-200004-42-4-42-22-424-2-24-2-222-222-2000000000000000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000
χ1094-4-4-44-444-240000-22-422-44-42-4-244-2-2-222-222-20000000000000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000
χ1104-4-4-44-444-240000-22-422-44-42-4-244-2-2-222-222-200000000000000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000
χ111888-8-8-88-8-4-400004-4-4-44-44444-4-4442-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-888-8-8-4-400004-4-44-44-4-444444-42-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88-88-4-40000-444-4-4-44-44444-4422-22-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8-88-888-4-40000-444444-4444-4-4-4-422-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000

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