Finite Group Databasebeta

← Group #11789770

Character table — Group #11789770

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
χ911-111-1-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-11-11111-1-1-1-1iiii−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
χ1011-111-1-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-11-11111-1-1-1-1iiii−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
χ1111-111-1-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-11-11111-1-1-1-1−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
χ1211-111-1-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-11-11111-1-1-1-1−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
χ1311-111-1-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-11-1-1-1-1-11111iiii−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
χ1411-111-1-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-11-1-1-1-1-11111iiii−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
χ1511-111-1-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-11-1-1-1-1-11111−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
χ1611-111-1-1-1111-11-1111-1-1-1-1-1-1-1111-1111-1-1-1-11111-1-1-11-1-1-1-1-11111−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
χ19222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-12-1-1-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-12-1-1-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ22222222222-1222222-1222-1-1-1-12-1-12-1-1-1-1-1-1-1-122-12-1-1-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ2322222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-12-1222-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2422222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-12-1222-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2522222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-12-1222-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ2622222222-122222-1-12-1-1-12222-122-1-1-1-1-1-1-1-1-1-1-12-1222-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ27222-2-22-2-22200002-2222-222-2-2-2-2-2-222-222-2-2-20000000022−2−222−2−222−2−222−2−2000000000000000000000022−2−222−2−222−2−222−2−22-22-2000000000000000000
χ28222-2-22-2-22200002-2222-222-2-2-2-2-2-222-222-2-2-20000000022−2−222−2−2−2−222−2−222000000000000000000000022−2−222−2−2−2−222−2−222-22-22000000000000000000
χ29222-2-22-2-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000−2−222−2−22222−2−222−2−20000000000000000000000−2−222−2−22222−2−222−2−2-22-22000000000000000000
χ30222-2-22-2-22200002-2222-222-2-2-2-2-2-222-222-2-2-200000000−2−222−2−222−2−222−2−2220000000000000000000000−2−222−2−222−2−222−2−2222-22-2000000000000000000
χ3122-222-2-2-222-22-22222-2-2-2-2-2-2-2222-2222-2-2-2-22-2-2-2222-2200000000000000000000000000-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ3222-222-2-2-222-22-22222-2-2-2-2-2-2-2222-2222-2-2-2-22-2-2-2222-2200000000000000000000000000-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ3322-222-2-2-22-12-22-222-1-2-2-211112-1-1-2-1-1-11111-122-1-211-1-22222-2-2-2-2000000002-222-1-1-2-211-1-111-1-1-1-11111-1-1-1-1111100000000000000002-200-1-111000000
χ3422-222-2-2-22-12-22-222-1-2-2-211112-1-1-2-1-1-11111-122-1-211-1-22222-2-2-2-200000000-22-2-21122-1-1-1-1111111-1-1-1-1-1-1-1-111110000000000000000-220011-1-1000000
χ3522-222-2-2-22-12-22-222-1-2-2-211112-1-1-2-1-1-11111-122-1-211-1-2-2-2-2-22222000000002-222-1-1-2-211-1-111-1-1-1-111111111-1-1-1-10000000000000000-220011-1-1000000
χ3622-222-2-2-22-12-22-222-1-2-2-211112-1-1-2-1-1-11111-122-1-211-1-2-2-2-2-2222200000000-22-2-21122-1-1-1-1111111-1-1-1-11111-1-1-1-100000000000000002-200-1-111000000
χ3722-222-2-2-2-122-22-2-1-12111-2-2-2-2-1221-1-1-11111-1-1-121-2-221000000002i2i2i2i−2i−2i−2i−2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000−i−i−i−iiiii00000000002i−2i0000−i−iii00
χ3822-222-2-2-2-122-22-2-1-12111-2-2-2-2-1221-1-1-11111-1-1-121-2-221000000002i2i2i2i−2i−2i−2i−2i-2211-2-2-1-122-1-1111111-1-1-1-100000000−i−i−i−iiiii0000000000−2i2i0000ii−i−i00
χ3922-222-2-2-2-122-22-2-1-12111-2-2-2-2-1221-1-1-11111-1-1-121-2-22100000000−2i−2i−2i−2i2i2i2i2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000iiii−i−i−i−i0000000000−2i2i0000ii−i−i00
χ4022-222-2-2-2-122-22-2-1-12111-2-2-2-2-1221-1-1-11111-1-1-121-2-22100000000−2i−2i−2i−2i2i2i2i2i-2211-2-2-1-122-1-1111111-1-1-1-100000000iiii−i−i−i−i00000000002i−2i0000−i−iii00
χ4122-2-2-2-2222200002-22-2-22-2-222-2-2-2222-2-2-222-20000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i000000000000000000
χ4222-2-2-2-2222200002-22-2-22-2-222-2-2-2222-2-2-222-20000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i22i−2i−2i2i000000000000000000
χ4322-2-2-2-2222200002-22-2-22-2-222-2-2-2222-2-2-222-200000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i−2i−2i2i000000000000000000
χ4422-2-2-2-2222200002-22-2-22-2-222-2-2-2222-2-2-222-200000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i000000000000000000
χ452-222-2-2-22222-2-22-2-2-22-222-22-222-2-22-2-22-22-222-22-22-2-222i−2i2i−2i2i−2i2i−2i0000000000000000002-22-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ462-222-2-2-22222-2-22-2-2-22-222-22-222-2-22-2-22-22-222-22-22-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000002-22-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ472-222-2-2-2222-222-2-2-2-22-222-22-222-2-22-2-22-22-22-22-22-222-2000000002i−2i2i−2i2i−2i2i−2i0000000000-22-2200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ482-222-2-2-2222-222-2-2-2-22-222-22-222-2-22-2-22-22-22-22-22-222-200000000−2i2i−2i2i−2i2i−2i2i0000000000-22-220000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ492-222-2-2-222-12-2-22-2-212-22-11-112-11-2-111-11-11-12-2-1-2-11122i−2i2i−2i2i−2i2i−2i000000000000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i3−ii−ii−ii−ii000000000000000000003−33−3000000
χ502-222-2-2-222-12-2-22-2-212-22-11-112-11-2-111-11-11-12-2-1-2-11122i−2i2i−2i2i−2i2i−2i000000000000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i3−ii−ii−ii−ii00000000000000000000−33−33000000
χ512-222-2-2-222-12-2-22-2-212-22-11-112-11-2-111-11-11-12-2-1-2-1112−2i2i−2i2i−2i2i−2i2i000000000000−i3i300−i3i3-11-11−i3−i3i3i3−i3−i3i3i3i−ii−ii−ii−i00000000000000000000−33−33000000
χ522-222-2-2-222-12-2-22-2-212-22-11-112-11-2-111-11-11-12-2-1-2-1112−2i2i−2i2i−2i2i−2i2i000000000000i3−i300i3−i3-11-11i3i3−i3−i3i3i3−i3−i3i−ii−ii−ii−i000000000000000000003−33−3000000
χ532-222-2-2-22-12-222-211-2-11-12-22-2-12-21-111-11-11-11-1-2-1-2221000000002i−2i2i−2i2i−2i2i−2i00−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300000000−ii−ii−ii−ii00000000000000003−33−300
χ542-222-2-2-22-12-222-211-2-11-12-22-2-12-21-111-11-11-11-1-2-1-2221000000002i−2i2i−2i2i−2i2i−2i00i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i300000000−ii−ii−ii−ii0000000000000000−33−3300
χ552-222-2-2-22-12-222-211-2-11-12-22-2-12-21-111-11-11-11-1-2-1-222100000000−2i2i−2i2i−2i2i−2i2i00−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300000000i−ii−ii−ii−i0000000000000000−33−3300
χ562-222-2-2-22-12-222-211-2-11-12-22-2-12-21-111-11-11-11-1-2-1-222100000000−2i2i−2i2i−2i2i−2i2i00i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i300000000i−ii−ii−ii−i00000000000000003−33−300
χ572-22-22-22-2220000-22-22-2-22-2-22-2-2222-222-2-22-200000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200002-22-200000000000000
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χ612-2-22-222-22222-2-2-2-2-2-22-2-22-2222-222-2-2-22-2222-222-22-2-22i−2i2i−2i−2i2i−2i2i0000000000000000002-2-22000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ622-2-22-222-22222-2-2-2-2-2-22-2-22-2222-222-2-2-22-2222-222-22-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000002-2-2200000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ632-2-22-222-222-2-222-2-2-2-22-2-22-2222-222-2-2-22-222-22-2-22-222000000002-22-2-22-220000000000-222-200000000000000002-22-2-22-220000000000000000000000
χ642-2-22-222-222-2-222-2-2-2-22-2-22-2222-222-2-2-22-222-22-2-22-22200000000-22-222-22-20000000000-222-20000000000000000-22-222-22-20000000000000000000000
χ652-2-22-222-22-122-2-2-2-21-22-21-11-12-112-1111-11-1-12-2-121-11-22i−2i2i−2i−2i2i−2i2i000000000000−i3i300i3−i3-111-1−i3−i3i3i3i3i3−i3−i3−ii−iii−ii−i000000000000000000003−3−33000000
χ662-2-22-222-22-122-2-2-2-21-22-21-11-12-112-1111-11-1-12-2-121-11-22i−2i2i−2i−2i2i−2i2i000000000000i3−i300−i3i3-111-1i3i3−i3−i3−i3−i3i3i3−ii−iii−ii−i00000000000000000000−333−3000000
χ672-2-22-222-22-122-2-2-2-21-22-21-11-12-112-1111-11-1-12-2-121-11-2−2i2i−2i2i2i−2i2i−2i000000000000−i3i300i3−i3-111-1−i3−i3i3i3i3i3−i3−i3i−ii−i−ii−ii00000000000000000000−333−3000000
χ682-2-22-222-22-122-2-2-2-21-22-21-11-12-112-1111-11-1-12-2-121-11-2−2i2i−2i2i2i−2i2i−2i000000000000i3−i300−i3i3-111-1i3i3−i3−i3−i3−i3i3i3i−ii−i−ii−ii000000000000000000003−3−33000000
χ692-2-22-222-2-12-2-22211-21-11-22-22-12-2-1-1111-11-1-11-1-212-22-1000000002-22-2-22-2200−i3i300i3−i3001-1-11−i3i3−i3i3i3−i3i3−i300000000-11-111-11-10000000000000000−i3i3i3−i300
χ702-2-22-222-2-12-2-22211-21-11-22-22-12-2-1-1111-11-1-11-1-212-22-1000000002-22-2-22-2200i3−i300−i3i3001-1-11i3−i3i3−i3−i3i3−i3i300000000-11-111-11-10000000000000000i3−i3−i3i300
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χ722-2-22-222-2-12-2-22211-21-11-22-22-12-2-1-1111-11-1-11-1-212-22-100000000-22-222-22-200i3−i300−i3i3001-1-11i3−i3i3−i3−i3i3−i3i3000000001-11-1-11-110000000000000000−i3i3i3−i300
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χ7944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2000000000000000044-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000
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χ9544-4-4-4-444-240000-22422-2-4-4442-4-4-2-2-2222-2-220000000000000000−2i2−2i22i22i22i22i2−2i2−2i2000000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000000000000000000000
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χ1014-444-4-4-44-2-2-444-4222-22-2-22-22-2-2221-1-11-11-112-22-22-2-22000000000000000000−2i32i300−2i32i300-11-11i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000
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χ1104-4-44-444-4-2-244-4-42222-222-22-2-2-22-21-1-1-11-111-22-2-22-222000000000000000000002i3−2i300−2i32i31-1-11−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000
χ1114-4-44-444-4-2-2-4-4442222-222-22-2-2-22-21-1-1-11-1112-222-22-2-2000000000000000000−2i32i3002i3−2i300-111-1i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000
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χ1134-4-4-444-444-20000-442-4442-2-22-42-2-4-22-22-2-22200000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2000000000000000000000000000000
χ1144-4-4-444-444-20000-442-4442-2-22-42-2-4-22-22-2-222000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2000000000000000000000000000000
χ1154-4-4-444-44-2400002-2-42-2-2-444-42-442-22-22-2-222000000000000000022−22−2222−222222−22000000000000000000000000000000−222−22−2−220000000000000000000000
χ1164-4-4-444-44-2400002-2-42-2-2-444-42-442-22-22-2-2220000000000000000−222222−2222−22−22220000000000000000000000000000002−2−22−222−20000000000000000000000
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χ11888-8-8-8-888-4-40000-44-444-444-4-4444-422-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88-88-8-4-400004-44-444-444-444-4-42-222-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8-888-88-4-400004-444-4-44-4-4444-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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