Finite Group Databasebeta

← Group #11789819

Character table — Group #11789819

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122222223344446666666666666636666666121212121212121244444444888888884412121212121212121212121212121212121212121212121212121212242424242424242488888888224466661212121244
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
χ911-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-111-1-111-1-1i−i
χ1011-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11-1-111-1-111−ii
χ1111-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-1111-1-1-1-111−ii
χ1211-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1-1-11111-1-1i−i
χ1311-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−ii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-111-1-1-11111-1-1−ii
χ1411-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-1111-1-1-1-111i−i
χ1511-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiiii−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11-1-111-1-111i−i
χ1611-11-1-11-1111-1-111-1-1-111-111-1-1-1-11111-1-1-11-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−ii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-111-1-111-1-1−ii
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-20000000022-2-222-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-200000000-2-222-2-222000000000000000000000000000000
χ19222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002200-1-1-1-1000000
χ20222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000-2-2001111000000
χ21222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2001111000000
χ22222222222-122222222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-1111111111111111100000000000000002200-1-1-1-1000000
χ23222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-22222-2-2-2-2000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-1-111-1-11100000000000000000000−i3i3−i3i3000000
χ24222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-22222-2-2-2-2000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-1-111-1-11100000000000000000000i3−i3i3−i3000000
χ25222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-22222000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i311-1-111-1-100000000000000000000i3−i3i3−i3000000
χ26222222222-1-2-2-2-22222-1-1-12-12-1-1-12-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-22222000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i311-1-111-1-100000000000000000000−i3i3−i3i3000000
χ2722222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-122-122-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000220000-1-1-1-100
χ2822222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-122-122-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-10000000000-2-20000111100
χ2922222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-122-122-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000111111110000000000-2-20000111100
χ3022222222-122222-1-1-1-1222-12-1222-1-1-1-1-1-1-1-1-1-1-122-122-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-11111111100000000111111110000000000220000-1-1-1-100
χ31222-2-2-2-22220000222-22-22-2-2-2-22-2-222-222-2-2-2000000002i−2i2i−2i000022−2−222−2−200000000000000000000002i−2i002i−2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i200000000000000
χ32222-2-2-2-22220000222-22-22-2-2-2-22-2-222-222-2-2-2000000002i−2i2i−2i0000−2−222−2−22200000000000000000000002i−2i002i−2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i200000000000000
χ33222-2-2-2-22220000222-22-22-2-2-2-22-2-222-222-2-2-200000000−2i2i−2i2i000022−2−222−2−20000000000000000000000−2i2i00−2i2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i200000000000000
χ34222-2-2-2-22220000222-22-22-2-2-2-22-2-222-222-2-2-200000000−2i2i−2i2i0000−2−222−2−2220000000000000000000000−2i2i00−2i2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i200000000000000
χ3522-22-2-22-222-222-22-2-2-222-222-2-2-2-22222-2-2-22-2-2-2-2-222222i2i−2i−2i−2i−2i2i2i000000000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ3622-22-2-22-222-222-22-2-2-222-222-2-2-2-22222-2-2-22-2-2-2-2-22222−2i−2i2i2i2i2i−2i−2i000000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ3722-22-2-22-22-12-2-222-2-2-2-1-112-1-21112-1-1-1111-1122-1-1-211-22i2i−2i−2i2i2i−2i−2i000000002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii−i−i−i−iiiii00000000000000002-200-1-111000000
χ3822-22-2-22-22-12-2-222-2-2-2-1-112-1-21112-1-1-1111-1122-1-1-211-22i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i−i−i−i−iiiii0000000000000000-220011-1-1000000
χ3922-22-2-22-22-12-2-222-2-2-2-1-112-1-21112-1-1-1111-1122-1-1-211-2−2i−2i2i2i−2i−2i2i2i000000002i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiiiiiii−i−i−i−i0000000000000000-220011-1-1000000
χ4022-22-2-22-22-12-2-222-2-2-2-1-112-1-21112-1-1-1111-1122-1-1-211-2−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i00000000000000002-200-1-111000000
χ4122-22-2-22-22-1-222-22-2-2-2-1-112-1-21112-1-1-1111-11-2-2112-1-122i2i−2i−2i−2i−2i2i2i0000000000003−300−3311-1-133−3−3−3−333−i−iiiii−i−i00000000000000000000−i3i3i3−i3000000
χ4222-22-2-22-22-1-222-22-2-2-2-1-112-1-21112-1-1-1111-11-2-2112-1-122i2i−2i−2i−2i−2i2i2i000000000000−33003−311-1-1−3−33333−3−3−i−iiiii−i−i00000000000000000000i3−i3−i3i3000000
χ4322-22-2-22-22-1-222-22-2-2-2-1-112-1-21112-1-1-1111-11-2-2112-1-12−2i−2i2i2i2i2i−2i−2i0000000000003−300−3311-1-133−3−3−3−333ii−i−i−i−iii00000000000000000000i3−i3−i3i3000000
χ4422-22-2-22-22-1-222-22-2-2-2-1-112-1-21112-1-1-1111-11-2-2112-1-12−2i−2i2i2i2i2i−2i−2i000000000000−33003−311-1-1−3−33333−3−3ii−i−i−i−iii00000000000000000000−i3i3i3−i3000000
χ4522-22-2-22-2-122-2-22-111122-2-121-2-2-2-1-1-1-1111-11-1-1221-2-21000000002i2i2i2i−2i−2i−2i−2i2i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00000000−i−i−i−iiiii00000000002-20000-1-11100
χ4622-22-2-22-2-122-2-22-111122-2-121-2-2-2-1-1-1-1111-11-1-1221-2-21000000002i2i2i2i−2i−2i−2i−2i−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00000000−i−i−i−iiiii0000000000-22000011-1-100
χ4722-22-2-22-2-122-2-22-111122-2-121-2-2-2-1-1-1-1111-11-1-1221-2-2100000000−2i−2i−2i−2i2i2i2i2i2i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii00000000iiii−i−i−i−i0000000000-22000011-1-100
χ4822-22-2-22-2-122-2-22-111122-2-121-2-2-2-1-1-1-1111-11-1-1221-2-2100000000−2i−2i−2i−2i2i2i2i2i−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i00000000iiii−i−i−i−i00000000002-20000-1-11100
χ4922-2-222-2-22200002-2-222-2-2-2-222-22-222-2-2-22-22000000002-2-220000−i2−i2i2i2i2i2−i2−i200000000000000000000002-200-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000
χ5022-2-222-2-22200002-2-222-2-2-2-222-22-222-2-2-22-22000000002-2-220000i2i2−i2−i2−i2−i2i2i200000000000000000000002-200-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000
χ5122-2-222-2-22200002-2-222-2-2-2-222-22-222-2-2-22-2200000000-222-20000−i2−i2i2i2i2i2−i2−i20000000000000000000000-22002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000
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χ532-2222-2-2-2222-22-2-22-2-2-2-222222-2-2-22-2-22-2-2222-22-2-22-22000000000000000000000000002-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ542-2222-2-2-2222-22-2-22-2-2-2-222222-2-2-22-2-22-2-2222-22-2-22-22000000000000000000000000002-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ552-2222-2-2-222-22-22-22-2-2-2-222222-2-2-22-2-22-2-222-22-222-22-2000000002i−2i2i−2i2i−2i2i−2i0000000000-22-2200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ562-2222-2-2-222-22-22-22-2-2-2-222222-2-2-22-2-22-2-222-22-222-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000-22-220000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ572-2222-2-2-2-12-22-221-111-2-22-12-12-2-21-111-111-1-11-1-22-1-221000000002i−2i2i−2i2i−2i2i−2i00−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300000000−ii−ii−ii−ii00000000000000003−33−300
χ582-2222-2-2-2-12-22-221-111-2-22-12-12-2-21-111-111-1-11-1-22-1-221000000002i−2i2i−2i2i−2i2i−2i00i3−i300i3−i3001-11-1i3−i3i3−i3i3−i3i3−i300000000−ii−ii−ii−ii0000000000000000−33−3300
χ592-2222-2-2-2-12-22-221-111-2-22-12-12-2-21-111-111-1-11-1-22-1-22100000000−2i2i−2i2i−2i2i−2i2i00−i3i300−i3i3001-11-1−i3i3−i3i3−i3i3−i3i300000000i−ii−ii−ii−i0000000000000000−33−3300
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χ612-22-2-222-2220000-22-22-222-2-2-2-2-2222-222-22-2-20000000000002i−2i2i−2i−i2i2i2−i2−i2i2i2−i20000000000000000000000002i−2i002i−2i−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000000000
χ622-22-2-222-2220000-22-22-222-2-2-2-2-2222-222-22-2-20000000000002i−2i2i−2ii2−i2−i2i2i2−i2−i2i20000000000000000000000002i−2i002i−2ii2−i2−i2i2i2−i2−i2i2−222−2−222−200000000000000
χ632-22-2-222-2220000-22-22-222-2-2-2-2-2222-222-22-2-2000000000000−2i2i−2i2i−i2i2i2−i2−i2i2i2−i2000000000000000000000000−2i2i00−2i2i−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000000000
χ642-22-2-222-2220000-22-22-222-2-2-2-2-2222-222-22-2-2000000000000−2i2i−2i2ii2−i2−i2i2i2−i2−i2i2000000000000000000000000−2i2i00−2i2ii2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000000000
χ652-2-22-22-222222-2-2-2-222-2-2-222-2-222-22-2-2-2222-22-22-22-22-2000000000000000000000000002-2-220000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ662-2-22-22-222222-2-2-2-222-2-2-222-2-222-22-2-2-2222-22-22-22-22-2000000000000000000000000002-2-22000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ672-2-22-22-2222-2-222-2-222-2-2-222-2-222-22-2-2-2222-2-22-22-22-22000000002-22-2-22-220000000000-222-200000000000000002-22-2-22-220000000000000000000000
χ682-2-22-22-2222-2-222-2-222-2-2-222-2-222-22-2-2-2222-2-22-22-22-2200000000-22-222-22-20000000000-222-20000000000000000-22-222-22-20000000000000000000000
χ692-2-22-22-22-12-2-22211-1-1-2-2-2-121-2221-1111-1-1-111-1-2212-2-1000000002-22-2-22-22003−300−33001-1-113−33−3−33−3300000000-11-111-11-10000000000000000−333−300
χ702-2-22-22-22-12-2-22211-1-1-2-2-2-121-2221-1111-1-1-111-1-2212-2-1000000002-22-2-22-2200−33003−3001-1-11−33−333−33−300000000-11-111-11-100000000000000003−3−3300
χ712-2-22-22-22-12-2-22211-1-1-2-2-2-121-2221-1111-1-1-111-1-2212-2-100000000-22-222-22-2003−300−33001-1-113−33−3−33−33000000001-11-1-11-1100000000000000003−3−3300
χ722-2-22-22-22-12-2-22211-1-1-2-2-2-121-2221-1111-1-1-111-1-2212-2-100000000-22-222-22-200−33003−3001-1-11−33−333−33−3000000001-11-1-11-110000000000000000−333−300
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χ1208-8-8-88-888-4-4000044-444-4444-4-4-44-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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