Finite Group Databasebeta

← Group #11790110

Character table — Group #11790110

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
χ91-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11111-1-1-1-1iiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i1-1i−i11-1-1ii−i−ii−i
χ101-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11111-1-1-1-1iiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i-11−ii-1-111−i−iii−ii
χ111-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11111-1-1-1-1−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii1-1−ii11-1-1−i−iii−ii
χ121-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-11111-1-1-1-1−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii-11i−i-1-111ii−i−ii−i
χ131-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-1-1-1-11111iiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii-11i−i-1-111ii−i−i−ii
χ141-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-1-1-1-11111iiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii1-1−ii11-1-1−i−iiii−i
χ151-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-1-1-1-11111−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i-11−ii-1-111−i−iiii−i
χ161-1-1111-1-1111-11-11-1-1-1-1-1-1-111111-111-1-1-1-111111-1-1-11-1-1-1-1-11111−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i1-1i−i11-1-1ii−i−i−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-20000000000000000000000002222-2-2-2-200000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2000000000000000000000000-2-2-2-2222200000000000000
χ19222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ22222222222-122222222-1-1-1-12-12-1-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ2322222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2422222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2522222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ2622222222-122222-1-1-1-12222-12-122-1-1-1-1-1-1-1-1-1-1-12-1222-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ272222-2-2-2-2222-2-22-222-222-2-222-2-2-2-22-222-2-22-22-22-22-2-220000000022-2-222-2-200000000002-22-2000000000000000022-2-222-2-20000000000000000000000
χ282222-2-2-2-2222-2-22-222-222-2-222-2-2-2-22-222-2-22-22-22-22-2-2200000000-2-222-2-22200000000002-22-20000000000000000-2-222-2-2220000000000000000000000
χ292222-2-2-2-222-222-2-222-222-2-222-2-2-2-22-222-2-22-2-22-22-222-222-2-222-2-2000000000000000000-22-220000000022-2-222-2-2000000000000000000000000000000
χ302222-2-2-2-222-222-2-222-222-2-222-2-2-2-22-222-2-22-2-22-22-222-2-2-222-2-222000000000000000000-22-2200000000-2-222-2-222000000000000000000000000000000
χ312222-2-2-2-22-1-222-2-222-2-1-1112-1-211-2-11-1-111-11-22121-1-1-222-2-222-2-20000000000003−3003−31-11-133−3−333−3−3-1-111-1-111000000000000000000003−33−3000000
χ322222-2-2-2-22-1-222-2-222-2-1-1112-1-211-2-11-1-111-11-22121-1-1-222-2-222-2-2000000000000−3300−331-11-1−3−333−3−333-1-111-1-11100000000000000000000−33−33000000
χ332222-2-2-2-22-1-222-2-222-2-1-1112-1-211-2-11-1-111-11-22121-1-1-2-2-222-2-2220000000000003−3003−31-11-133−3−333−3−311-1-111-1-100000000000000000000−33−33000000
χ342222-2-2-2-22-1-222-2-222-2-1-1112-1-211-2-11-1-111-11-22121-1-1-2-2-222-2-222000000000000−3300−331-11-1−3−333−3−33311-1-111-1-1000000000000000000003−33−3000000
χ352222-2-2-2-2-122-2-221-1-1122-2-2-121-2-21-11-1-111-11-11212-2-2-10000000022-2-222-2-2003−3003−300-11-113−33−33−33−300000000-1-111-1-11100000000000000003−33−300
χ362222-2-2-2-2-122-2-221-1-1122-2-2-121-2-21-11-1-111-11-11212-2-2-10000000022-2-222-2-200−3300−3300-11-11−33−33−33−3300000000-1-111-1-1110000000000000000−33−3300
χ372222-2-2-2-2-122-2-221-1-1122-2-2-121-2-21-11-1-111-11-11212-2-2-100000000-2-222-2-222003−3003−300-11-113−33−33−33−30000000011-1-111-1-10000000000000000−33−3300
χ382222-2-2-2-2-122-2-221-1-1122-2-2-121-2-21-11-1-111-11-11212-2-2-100000000-2-222-2-22200−3300−3300-11-11−33−33−33−330000000011-1-111-1-100000000000000003−33−300
χ3922-2-22-22-2220000-22-2-22-22-2-2-222-222-22-22-2-2200000000−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−200002i−2i2i−2i00000000000000
χ4022-2-22-22-2220000-22-2-22-22-2-2-222-222-22-22-2-2200000000−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−220000−2i2i−2i2i00000000000000
χ4122-2-22-22-2220000-22-2-22-22-2-2-222-222-22-22-2-2200000000i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−20000−2i2i−2i2i00000000000000
χ4222-2-22-22-2220000-22-2-22-22-2-2-222-222-22-22-2-2200000000i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200002i−2i2i−2i00000000000000
χ4322-2-2-22-2222000022-222-2-22-2-2-2-22-2222-2-22-2-200000000−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000000000000000000−i2i2i2−i2−i2i2i2−i22−2−222−2−222i−2i2i−2i000000000000000000
χ4422-2-2-22-2222000022-222-2-22-2-2-2-22-2222-2-22-2-200000000−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000000000000000000−i2i2i2−i2−i2i2i2−i2−222−2−222−2−2i2i−2i2i000000000000000000
χ4522-2-2-22-2222000022-222-2-22-2-2-2-22-2222-2-22-2-200000000i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000000000000000000i2−i2−i2i2i2−i2−i2i22−2−222−2−22−2i2i−2i2i000000000000000000
χ4622-2-2-22-2222000022-222-2-22-2-2-2-22-2222-2-22-2-200000000i2−i2−i2i2i2−i2−i2i2−222−2−222−20000000000000000000000i2−i2−i2i2i2−i2−i2i2−222−2−222−22i−2i2i−2i000000000000000000
χ472-22-22-2-22220000-2-222-22-22-2-222-2-22-2-22-22-2200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200002-2-2200000000000000
χ482-22-22-2-22220000-2-222-22-22-2-222-2-22-2-22-22-2200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000-222-200000000000000
χ492-22-22-2-22220000-2-222-22-22-2-222-2-22-2-22-22-2200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000-222-200000000000000
χ502-22-22-2-22220000-2-222-22-22-2-222-2-22-2-22-22-2200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200002-2-2200000000000000
χ512-22-2-222-22200002-22-2-222-2-2-2-2-22222-222-2-2-200000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i22-2-22000000000000000000
χ522-22-2-222-22200002-22-2-222-2-2-2-2-22222-222-2-2-200000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2-222-2000000000000000000
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χ542-22-2-222-22200002-22-2-222-2-2-2-2-22222-222-2-2-200000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i22-2-22000000000000000000
χ552-2-2222-2-222-22-222-2-2-2-2-2-2-222222-222-2-2-2-222-2-2-2222-2200000000000000000000000000-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ562-2-2222-2-222-22-222-2-2-2-2-2-2-222222-222-2-2-2-222-2-2-2222-2200000000000000000000000000-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ572-2-2222-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-22222-2-2-2-2000000002-222-1-1-2-211-1-111-1-1-1-11111-1-1-1-1111100000000000000002-200-1-111000000
χ582-2-2222-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-22222-2-2-2-200000000-22-2-21122-1-1-1-1111111-1-1-1-1-1-1-1-111110000000000000000-220011-1-1000000
χ592-2-2222-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-2-2-2-2-22222000000002-222-1-1-2-211-1-111-1-1-1-111111111-1-1-1-10000000000000000-220011-1-1000000
χ602-2-2222-2-22-12-22-22-2-2-211112-12-1-1-2-1-11111-1-122-1-211-1-2-2-2-2-2222200000000-22-2-21122-1-1-1-1111111-1-1-1-11111-1-1-1-100000000000000002-200-1-111000000
χ612-2-2222-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-221000000002i2i2i2i−2i−2i−2i−2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000−i−i−i−iiiii00000000002i−2i0000−i−iii00
χ622-2-2222-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-221000000002i2i2i2i−2i−2i−2i−2i-2211-2-2-1-122-1-1111111-1-1-1-100000000−i−i−i−iiiii0000000000−2i2i0000ii−i−i00
χ632-2-2222-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-22100000000−2i−2i−2i−2i2i2i2i2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000iiii−i−i−i−i0000000000−2i2i0000ii−i−i00
χ642-2-2222-2-2-122-22-2-1111-2-2-2-2-12-1221-1-11111-1-1-1-121-2-22100000000−2i−2i−2i−2i2i2i2i2i-2211-2-2-1-122-1-1111111-1-1-1-100000000iiii−i−i−i−i00000000002i−2i0000−i−iii00
χ652-2-22-2-2222222-2-2-2-2-22-2-22222-2-2-222-2-2-2222-22-222-22-2-2000000002i2i−2i−2i−2i−2i2i2i00000000002-2-2200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ662-2-22-2-2222222-2-2-2-2-22-2-22222-2-2-222-2-2-2222-22-222-22-2-200000000−2i−2i2i2i2i2i−2i−2i00000000002-2-220000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ672-2-22-2-22222-2-222-2-2-22-2-22222-2-2-222-2-2-2222-2-22-2-22-22222-2-2-2-222000000000000000000-222-20000000022-2-2-2-222000000000000000000000000000000
χ682-2-22-2-22222-2-222-2-2-22-2-22222-2-2-222-2-2-2222-2-22-2-22-222-2-22222-2-2000000000000000000-222-200000000-2-22222-2-2000000000000000000000000000000
χ692-2-22-2-2222-1-2-222-2-2-2211-1-12-1-2112-1111-1-1-11-221-2-11-1222-2-2-2-2220000000000003−300−331-1-1133−3−3−3−333-1-11111-1-1000000000000000000003−3−33000000
χ702-2-22-2-2222-1-2-222-2-2-2211-1-12-1-2112-1111-1-1-11-221-2-11-1222-2-2-2-222000000000000−33003−31-1-11−3−33333−3−3-1-11111-1-100000000000000000000−333−3000000
χ712-2-22-2-2222-1-2-222-2-2-2211-1-12-1-2112-1111-1-1-11-221-2-11-12-2-22222-2-20000000000003−300−331-1-1133−3−3−3−33311-1-1-1-11100000000000000000000−333−3000000
χ722-2-22-2-2222-1-2-222-2-2-2211-1-12-1-2112-1111-1-1-11-221-2-11-12-2-22222-2-2000000000000−33003−31-1-11−3−33333−3−311-1-1-1-111000000000000000000003−3−33000000
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Here i is the imaginary unit (i² = −1).