Finite Group Databasebeta

← Group #11789761

Character table — Group #11789761

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
χ911-1-11-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-11111-1-1-1-1iiii−i−i−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−ii−i1-1ii−i−i11-1-11-1
χ1011-1-11-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-11111-1-1-1-1iiii−i−i−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i−ii-11−i−iii-1-111-11
χ1111-1-11-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-11111-1-1-1-1−i−i−i−iiiiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iiii−i-11ii−i−i-1-111-11
χ1211-1-11-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-11111-1-1-1-1−i−i−i−iiiii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−ii1-1−i−iii11-1-11-1
χ1311-1-11-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1-1-1-1-11111iiii−i−i−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii−ii1-1−i−iii11-1-1-11
χ1411-1-11-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1-1-1-1-11111iiii−i−i−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iii−i−iiii−i-11ii−i−i-1-1111-1
χ1511-1-11-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1-1-1-1-11111−i−i−i−iiiiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i−ii-11−i−iii-1-1111-1
χ1611-1-11-1-11111-11-11111-1-1-1-1-11-1-1-11111-1-1-11-11-1-111-11-1-1-1-1-11111−i−i−i−iiiii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−ii−i1-1ii−i−i11-1-1-11
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
χ19222222222-1222222-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-1222222-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-1222222-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ22222222222-1222222-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ2322222222-122222-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1222-1-1-12-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2422222222-122222-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1222-1-1-12-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2522222222-122222-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1222-1-1-12-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ2622222222-122222-1-122-1-1-1222-122-1-1-1-1-1-1-1-1-1222-1-1-12-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ27222-2-22-2-22200002-22-222-222-2-2-2-2-222-222-2-2-20000000022−2−222−2−222−2−222−2−2000000000000000000000022−2−222−2−222−2−222−2−22-22-2000000000000000000
χ28222-2-22-2-22200002-22-222-222-2-2-2-2-222-222-2-2-20000000022−2−222−2−2−2−222−2−222000000000000000000000022−2−222−2−2−2−222−2−222-22-22000000000000000000
χ29222-2-22-2-22200002-22-222-222-2-2-2-2-222-222-2-2-200000000−2−222−2−22222−2−222−2−20000000000000000000000−2−222−2−22222−2−222−2−2-22-22000000000000000000
χ30222-2-22-2-22200002-22-222-222-2-2-2-2-222-222-2-2-200000000−2−222−2−222−2−222−2−2220000000000000000000000−2−222−2−222−2−222−2−2222-22-2000000000000000000
χ3122-22-2-22-22200002-22-2-2-22-2-2-2222-222-2-2-22-220000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2i2i2i−2i000000000000000000
χ3222-22-2-22-22200002-22-2-2-22-2-2-2222-222-2-2-22-220000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i22i−2i−2i2i000000000000000000
χ3322-22-2-22-22200002-22-2-2-22-2-2-2222-222-2-2-22-2200000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i22i−2i−2i2i000000000000000000
χ3422-22-2-22-22200002-22-2-2-22-2-2-2222-222-2-2-22-2200000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2i2i2i−2i000000000000000000
χ3522-2-22-2-2222-22-222222-2-2-2-2-22-2-2-22222-2-2-22-2-222-2-22-2200000000000000000000000000-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ3622-2-22-2-2222-22-222222-2-2-2-2-22-2-2-22222-2-2-22-2-222-2-22-2200000000000000000000000000-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ3722-2-22-2-222-12-22-222-1-1-2-2-211-1-2112-1-1-1111-11-11122-2-1-22222-2-2-2-2000000002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii-1-1-1-1111100000000000000002i−2i00−i−iii000000
χ3822-2-22-2-222-12-22-222-1-1-2-2-211-1-2112-1-1-1111-11-11122-2-1-22222-2-2-2-200000000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i-1-1-1-111110000000000000000−2i2i00ii−i−i000000
χ3922-2-22-2-222-12-22-222-1-1-2-2-211-1-2112-1-1-1111-11-11122-2-1-2-2-2-2-22222000000002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii1111-1-1-1-10000000000000000−2i2i00ii−i−i000000
χ4022-2-22-2-222-12-22-222-1-1-2-2-211-1-2112-1-1-1111-11-11122-2-1-2-2-2-2-2222200000000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i1111-1-1-1-100000000000000002i−2i00−i−iii000000
χ4122-2-22-2-22-122-22-2-1-122111-2-221-2-2-1-1-1-1111-112-2-2-1-1121000000002i2i2i2i−2i−2i−2i−2i2i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00000000−i−i−i−iiiii00000000002-20000-1-11100
χ4222-2-22-2-22-122-22-2-1-122111-2-221-2-2-1-1-1-1111-112-2-2-1-1121000000002i2i2i2i−2i−2i−2i−2i−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00000000−i−i−i−iiiii0000000000-22000011-1-100
χ4322-2-22-2-22-122-22-2-1-122111-2-221-2-2-1-1-1-1111-112-2-2-1-112100000000−2i−2i−2i−2i2i2i2i2i2i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00000000iiii−i−i−i−i0000000000-22000011-1-100
χ4422-2-22-2-22-122-22-2-1-122111-2-221-2-2-1-1-1-1111-112-2-2-1-112100000000−2i−2i−2i−2i2i2i2i2i−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00000000iiii−i−i−i−i00000000002-20000-1-11100
χ452-2222-2-2-2222-2-22-2-2-2-22-222-22-2-2222-2-22-222-222-22-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000002-22-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ462-2222-2-2-2222-2-22-2-2-2-22-222-22-2-2222-2-22-222-222-22-2-2-22−2i2i−2i2i−2i2i−2i2i0000000000000000002-22-200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ472-2222-2-2-222-222-2-2-2-2-22-222-22-2-2222-2-22-222-2-2-22-2222-2000000002i−2i2i−2i2i−2i2i−2i0000000000-22-2200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ482-2222-2-2-222-222-2-2-2-2-22-222-22-2-2222-2-22-222-2-2-22-2222-200000000−2i2i−2i2i−2i2i−2i2i0000000000-22-220000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ492-2222-2-2-22-12-2-22-2-2112-22-11-1-21-12-111-11-1-11-1-112-2-2122i−2i2i−2i2i−2i2i−2i0000000000003−3003−3-11-1133−3−333−3−3−ii−ii−ii−ii00000000000000000000−i3i3−i3i3000000
χ502-2222-2-2-22-12-2-22-2-2112-22-11-1-21-12-111-11-1-11-1-112-2-2122i−2i2i−2i2i−2i2i−2i000000000000−3300−33-11-11−3−333−3−333−ii−ii−ii−ii00000000000000000000i3−i3i3−i3000000
χ512-2222-2-2-22-12-2-22-2-2112-22-11-1-21-12-111-11-1-11-1-112-2-212−2i2i−2i2i−2i2i−2i2i0000000000003−3003−3-11-1133−3−333−3−3i−ii−ii−ii−i00000000000000000000i3−i3i3−i3000000
χ522-2222-2-2-22-12-2-22-2-2112-22-11-1-21-12-111-11-1-11-1-112-2-212−2i2i−2i2i−2i2i−2i2i000000000000−3300−33-11-11−3−333−3−333i−ii−ii−ii−i00000000000000000000−i3i3−i3i3000000
χ532-2222-2-2-2-12-222-211-2-2-11-12-221-22-1-111-11-1-11-2-221-1-121000000002i−2i2i−2i2i−2i2i−2i003−3003−3001-11-13−33−33−33−300000000−ii−ii−ii−ii0000000000000000−i3i3−i3i300
χ542-2222-2-2-2-12-222-211-2-2-11-12-221-22-1-111-11-1-11-2-221-1-121000000002i−2i2i−2i2i−2i2i−2i00−3300−33001-11-1−33−33−33−3300000000−ii−ii−ii−ii0000000000000000i3−i3i3−i300
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χ572-22-2-2-222220000-22-222-2-22-2-222-2-22-222-2-2-2200000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200002-22-200000000000000
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χ622-2-22-22-22220000-22-22-222-22-2-2-22-22-22-222-2-200000000−i2i2i2−i2i2−i2−i2i2−222−22−2−220000000000000000000000−i2i2i2−i2i2−i2−i2i2−222−22−2−220000−2i2i2i−2i00000000000000
χ632-2-22-22-22220000-22-22-222-22-2-2-22-22-22-222-2-200000000i2−i2−i2i2−i2i2i2−i22−2−22−222−20000000000000000000000i2−i2−i2i2−i2i2i2−i22−2−22−222−20000−2i2i2i−2i00000000000000
χ642-2-22-22-22220000-22-22-222-22-2-2-22-22-22-222-2-200000000i2−i2−i2i2−i2i2i2−i2−222−22−2−220000000000000000000000i2−i2−i2i2−i2i2i2−i2−222−22−2−2200002i−2i−2i2i00000000000000
χ652-2-2-2222-22222-2-2-2-2-2-2-22-2-22222-222-2-2-22-2222-222-22-2-22i−2i2i−2i−2i2i−2i2i0000000000000000002-2-22000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ662-2-2-2222-22222-2-2-2-2-2-2-22-2-22222-222-2-2-22-2222-222-22-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000002-2-2200000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ672-2-2-2222-222-2-222-2-2-2-2-22-2-22222-222-2-2-22-222-22-2-22-222000000002-22-2-22-220000000000-222-200000000000000002-22-2-22-220000000000000000000000
χ682-2-2-2222-222-2-222-2-2-2-2-22-2-22222-222-2-2-22-222-22-2-22-22200000000-22-222-22-20000000000-222-20000000000000000-22-222-22-20000000000000000000000
χ692-2-2-2222-22-122-2-2-2-211-22-21-1-12-112-1111-11-1-1-11-12-221-22i−2i2i−2i−2i2i−2i2i000000000000−i3i300i3−i3-111-1−i3−i3i3i3i3i3−i3−i3−ii−iii−ii−i00000000000000000000−333−3000000
χ702-2-2-2222-22-122-2-2-2-211-22-21-1-12-112-1111-11-1-1-11-12-221-22i−2i2i−2i−2i2i−2i2i000000000000i3−i300−i3i3-111-1i3i3−i3−i3−i3−i3i3i3−ii−iii−ii−i000000000000000000003−3−33000000
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χ1198-88-8-8-888-4-400004-44-4-444-444-4-4442-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-88-88-4-400004-44-44-4-44-4444-442-22-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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