Finite Group Databasebeta

← Group #11789772

Character table — Group #11789772

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order1222222233444466666666666666366666661212121212121212444444448888888844121212121212121212121212121212121212121212121212121212122424242424242424888888884444121212121212121244
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
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
χ911-1-1-111-1111-1-11111-1-1-1-11-1-1-1-111111-1-1-11-111-111-1-1-1ii−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
χ1011-1-1-111-1111-1-11111-1-1-1-11-1-1-1-111111-1-1-11-111-111-1-1-1ii−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
χ1111-1-1-111-1111-1-11111-1-1-1-11-1-1-1-111111-1-1-11-111-111-1-1-1ii−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-1-1-1-11111-111-1-1-11111-1-1−ii
χ1211-1-1-111-1111-1-11111-1-1-1-11-1-1-1-111111-1-1-11-111-111-1-1-1ii−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-1-1-1-111111-1-1111-1-1-1-111i−i
χ1311-1-1-111-1111-1-11111-1-1-1-11-1-1-1-111111-1-1-11-111-111-1-1-1−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-1-1-1-111111-1-1111-1-1-1-111−ii
χ1411-1-1-111-1111-1-11111-1-1-1-11-1-1-1-111111-1-1-11-111-111-1-1-1−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-1-1-1-11111-111-1-1-11111-1-1i−i
χ1511-1-1-111-1111-1-11111-1-1-1-11-1-1-1-111111-1-1-11-111-111-1-1-1−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
χ1611-1-1-111-1111-1-11111-1-1-1-11-1-1-1-111111-1-1-11-111-111-1-1-1−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
χ19222222222-1222222-12-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-12222-100000000222222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000002200-1-1-1-1000000
χ20222222222-1222222-12-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-12222-10000000022222222-2-2-2-211-2-211-1-1-1-11111111100000000-1-1-1-1-1-1-1-100000000-2-2001111000000
χ21222222222-1222222-12-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-12222-100000000-2-2-2-2-2-2-2-22222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000-2-2001111000000
χ22222222222-1222222-12-1-1-1-12-122-12-1-1-1-1-1-1-1-1-1-1-12222-100000000-2-2-2-2-2-2-2-2-2-2-2-211-2-211-1-1-1-1111111110000000011111111000000002200-1-1-1-1000000
χ2322222222-122222-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222222220000000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000220000-1-1-1-100
χ2422222222-122222-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-122222222200000000-2-211-2-211-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000-2-20000111100
χ2522222222-122222-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2-2-20000000022-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000-2-20000111100
χ2622222222-122222-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-2-2-200000000-2-211-2-211-2-2-1-1-1-11111111111111111000000000000000000220000-1-1-1-100
χ2722222222-12-2-2-2-2-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-22222-2-2-2-20000000000−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i3-1-111-1-111000000000000000000000000−i3i3−i3i300
χ2822222222-12-2-2-2-2-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-22222-2-2-2-20000000000i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i3-1-111-1-111000000000000000000000000i3−i3i3−i300
χ2922222222-12-2-2-2-2-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-222220000000000−i3i300−i3i3001111−i3−i3i3i3−i3−i3i3i311-1-111-1-1000000000000000000000000i3−i3i3−i300
χ3022222222-12-2-2-2-2-1-12-12222-12-1-12-1-1-1-1-1-1-1-1-1-2-2-21111-2-2-2-2-222220000000000i3−i300i3−i3001111i3i3−i3−i3i3i3−i3−i311-1-111-1-1000000000000000000000000−i3i3−i3i300
χ31222-22-2-2-22200002-22222-2-2-2-22-2-2-222-222-2-2-2000000002-22-2000022−2−222−2−200000000000000000000002-2002-20022−2−222−2−222−2−222−2−200000000000000
χ32222-22-2-2-22200002-22222-2-2-2-22-2-2-222-222-2-2-2000000002-22-20000−2−222−2−22200000000000000000000002-2002-200−2−222−2−222−2−222−2−22200000000000000
χ33222-22-2-2-22200002-22222-2-2-2-22-2-2-222-222-2-2-200000000-22-22000022−2−222−2−20000000000000000000000-2200-220022−2−222−2−2−2−222−2−22200000000000000
χ34222-22-2-2-22200002-22222-2-2-2-22-2-2-222-222-2-2-200000000-22-220000−2−222−2−2220000000000000000000000-2200-2200−2−222−2−22222−2−222−2−200000000000000
χ3522-22-2-2-222200002-22-2-2-22-222-22-2-222-2-2-22-22000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i200000000000000000000002i−2i00−2i2i00−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000000000
χ3622-22-2-2-222200002-22-2-2-22-222-22-2-222-2-2-22-22000000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i200000000000000000000002i−2i00−2i2i00i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000000000
χ3722-22-2-2-222200002-22-2-2-22-222-22-2-222-2-2-22-2200000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000000000000000−2i2i002i−2i00−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000000000
χ3822-22-2-2-222200002-22-2-2-22-222-22-2-222-2-2-22-2200000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000000000000000000000−2i2i002i−2i00i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000000000
χ3922-2-2-222-222-222-2222-2-2-2-22-2-2-2-222222-2-2-22-2-2-22-2-22222i2i−2i−2i−2i−2i2i2i000000000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ4022-2-2-222-222-222-2222-2-2-2-22-2-2-2-222222-2-2-22-2-2-22-2-2222−2i−2i2i2i2i2i−2i−2i000000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ4122-2-2-222-22-12-2-2222-1-2111-1-21-2-2-12-1-1-1111-11-1-1122-2-21000000002i2i2i2i−2i−2i−2i−2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00000000−i−i−i−iiiii000000002-200-1-111000000
χ4222-2-2-222-22-12-2-2222-1-2111-1-21-2-2-12-1-1-1111-11-1-1122-2-21000000002i2i2i2i−2i−2i−2i−2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00000000−i−i−i−iiiii00000000-220011-1-1000000
χ4322-2-2-222-22-12-2-2222-1-2111-1-21-2-2-12-1-1-1111-11-1-1122-2-2100000000−2i−2i−2i−2i2i2i2i2i2i−2i2i2i−i−i−2i−2iii-1-111−i−i−i−iiiii00000000iiii−i−i−i−i00000000-220011-1-1000000
χ4422-2-2-222-22-12-2-2222-1-2111-1-21-2-2-12-1-1-1111-11-1-1122-2-2100000000−2i−2i−2i−2i2i2i2i2i−2i2i−2i−2iii2i2i−i−i-1-111iiii−i−i−i−i00000000iiii−i−i−i−i000000002-200-1-111000000
χ4522-2-2-222-2-122-2-22-1-121-2-2-221-2112-1-1-1-1111-1122-2-1-111-22i2i−2i−2i2i2i−2i−2i000000002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiii−i−i−i−iiiii0000000000000000002-20000-1-11100
χ4622-2-2-222-2-122-2-22-1-121-2-2-221-2112-1-1-1-1111-1122-2-1-111-22i2i−2i−2i2i2i−2i−2i00000000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−i−i−i−i−iiiii000000000000000000-22000011-1-100
χ4722-2-2-222-2-122-2-22-1-121-2-2-221-2112-1-1-1-1111-1122-2-1-111-2−2i−2i2i2i−2i−2i2i2i000000002i−2i−i−i2i2iii−2i−2i-1-111−i−i−i−iiiiiiiii−i−i−i−i000000000000000000-22000011-1-100
χ4822-2-2-222-2-122-2-22-1-121-2-2-221-2112-1-1-1-1111-1122-2-1-111-2−2i−2i2i2i−2i−2i2i2i00000000−2i2iii−2i−2i−i−i2i2i-1-111iiii−i−i−i−iiiii−i−i−i−i0000000000000000002-20000-1-11100
χ4922-2-2-222-2-12-222-2-1-121-2-2-221-2112-1-1-1-1111-11-2-2211-1-122i2i−2i−2i−2i−2i2i2i00000000003−300−330011-1-133−3−3−3−333−i−iiiii−i−i000000000000000000000000−i3i3i3−i300
χ5022-2-2-222-2-12-222-2-1-121-2-2-221-2112-1-1-1-1111-11-2-2211-1-122i2i−2i−2i−2i−2i2i2i0000000000−33003−30011-1-1−3−33333−3−3−i−iiiii−i−i000000000000000000000000i3−i3−i3i300
χ5122-2-2-222-2-12-222-2-1-121-2-2-221-2112-1-1-1-1111-11-2-2211-1-12−2i−2i2i2i2i2i−2i−2i00000000003−300−330011-1-133−3−3−3−333ii−i−i−i−iii000000000000000000000000i3−i3−i3i300
χ5222-2-2-222-2-12-222-2-1-121-2-2-221-2112-1-1-1-1111-11-2-2211-1-12−2i−2i2i2i2i2i−2i−2i0000000000−33003−30011-1-1−3−33333−3−3ii−i−i−i−iii000000000000000000000000−i3i3i3−i300
χ532-222-2-22-2222-22-2-2-2-222-2-2222-2-2-222-2-22-2-2222-2-22-22-22000000000000000000000000002-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ542-222-2-22-2222-22-2-2-2-222-2-2222-2-2-222-2-22-2-2222-2-22-22-22000000000000000000000000002-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ552-222-2-22-222-22-22-2-2-222-2-2222-2-2-222-2-22-2-222-222-22-22-2000000002i−2i2i−2i2i−2i2i−2i0000000000-22-2200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ562-222-2-22-222-22-22-2-2-222-2-2222-2-2-222-2-22-2-222-222-22-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000-22-220000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ572-222-2-22-22-1-22-22-2-212-111-12-1-2-212-111-111-1-11-1-1-22-221000000002i−2i2i−2i2i−2i2i−2i0000−i3i300−i3i31-11-1−i3i3−i3i3−i3i3−i3i300000000−ii−ii−ii−ii0000000000003−33−3000000
χ582-222-2-22-22-1-22-22-2-212-111-12-1-2-212-111-111-1-11-1-1-22-221000000002i−2i2i−2i2i−2i2i−2i0000i3−i300i3−i31-11-1i3−i3i3−i3i3−i3i3−i300000000−ii−ii−ii−ii000000000000−33−33000000
χ592-222-2-22-22-1-22-22-2-212-111-12-1-2-212-111-111-1-11-1-1-22-22100000000−2i2i−2i2i−2i2i−2i2i0000−i3i300−i3i31-11-1−i3i3−i3i3−i3i3−i3i300000000i−ii−ii−ii−i000000000000−33−33000000
χ602-222-2-22-22-1-22-22-2-212-111-12-1-2-212-111-111-1-11-1-1-22-22100000000−2i2i−2i2i−2i2i−2i2i0000i3−i300i3−i31-11-1i3−i3i3−i3i3−i3i3−i300000000i−ii−ii−ii−i0000000000003−33−3000000
χ612-22-2-22-22220000-22-222-22-2-2-2-222-22-222-22-2-20000000000002-22-2−i2i2i2−i2−i2i2i2−i20000000000000000000000002-2002-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000000000
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χ632-22-2-22-22220000-22-222-22-2-2-2-222-22-222-22-2-2000000000000-22-22−i2i2i2−i2−i2i2i2−i2000000000000000000000000-2200-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000000000
χ642-22-2-22-22220000-22-222-22-2-2-2-222-22-222-22-2-2000000000000-22-22i2−i2−i2i2i2−i2−i2i2000000000000000000000000-2200-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000000000
χ652-2-2222-2-2220000-22-2-2-22-2-2222-22-22-22-22-2-220000000000002i−2i−2i2i2−2−22−222−20000000000000000000000002i−2i00−2i2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i200000000000000
χ662-2-2222-2-2220000-22-2-2-22-2-2222-22-22-22-22-2-220000000000002i−2i−2i2i−222−22−2−220000000000000000000000002i−2i00−2i2i−222−22−2−22i2−i2−i2i2−i2i2i2−i200000000000000
χ672-2-2222-2-2220000-22-2-2-22-2-2222-22-22-22-22-2-22000000000000−2i2i2i−2i2−2−22−222−2000000000000000000000000−2i2i002i−2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i200000000000000
χ682-2-2222-2-2220000-22-2-2-22-2-2222-22-22-22-22-2-22000000000000−2i2i2i−2i−222−22−2−22000000000000000000000000−2i2i002i−2i−222−22−2−22−i2i2i2−i2i2−i2−i2i200000000000000
χ692-2-2-22-2222222-2-2-2-2-2-2-2222-2-222-222-2-2-2222-22-222-2-22-2000000000000000000000000002-2-220000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ702-2-2-22-2222222-2-2-2-2-2-2-2222-2-222-222-2-2-2222-22-222-2-22-2000000000000000000000000002-2-22000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000
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Here i is the imaginary unit (i² = −1).