Finite Group Databasebeta

← Group #11789778

Character table — Group #11789778

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
χ911-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1i−ii−iii−i−iii−i−i1-1
χ1011-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1−ii−ii−i−iii−i−iii-11
χ1111-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111−iii−i−i−iiiii−i−i-11
χ1211-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111i−i−iiii−i−i−i−iii1-1
χ1311-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111i−i−iiii−i−i−i−iii-11
χ1411-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-11-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111−iii−i−i−iiiii−i−i1-1
χ1511-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1-11111-1-1-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1−ii−ii−i−iii−i−iii1-1
χ1611-11-1-1-11111-1-1111-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-11-1-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1i−ii−iii−i−iii−i−i-11
χ172222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000
χ182222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000-2-2-2-200000000-2-2-2-22222000000000000000000000000000000
χ19222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-1222222222000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000220000-1-1-1-100
χ20222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-122222222200000000-2-2-2-211-2-211-1-1-1-111111111-1-1-1-1-1-1-1-1000000000000000000-2-20000111100
χ21222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-2000000002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000-2-20000111100
χ22222222222-122222-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-122-1-12-1-12-2-2-2-2-2-2-2-200000000-2-2-2-211-2-211-1-1-1-11111111111111111000000000000000000220000-1-1-1-100
χ23222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-22222-2-2-2-2000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i3-1-1-1-11111000000000000000000000000−i3i3−i3i300
χ24222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-22222-2-2-2-2000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i3-1-1-1-11111000000000000000000000000i3−i3i3−i300
χ25222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-22222000000000000−i3i300−i3i31111−i3−i3i3i3−i3−i3i3i31111-1-1-1-1000000000000000000000000i3−i3i3−i300
χ26222222222-1-2-2-2-22-1222-1-12-12-1-12-1-1-1-1-1-1-1-1-1-2-211-211-2-2-2-2-22222000000000000i3−i300i3−i31111i3i3−i3−i3i3i3−i3−i31111-1-1-1-1000000000000000000000000−i3i3−i3i300
χ2722222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-1000000002222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000002200-1-1-1-1000000
χ2822222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-10000000022222222-2-211-2-211-2-2-1-1-1-11111111100000000-1-1-1-1-1-1-1-100000000-2-2001111000000
χ2922222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-100000000-2-2-2-2-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000-2-2001111000000
χ3022222222-122222-12-1-1-122-12-122-12-1-1-1-1-1-1-1-1-1-122-122-100000000-2-2-2-2-2-2-2-2-2-211-2-211-2-2-1-1-1-1111111110000000011111111000000002200-1-1-1-1000000
χ31222-22-2-2-22200002222-22-2-2-2-2-22-2-22222-2-2-2-2000000002-22-2000022−2−222−2−200000000000000000000002-22-2000022−2−222−2−222−2−222−2−200000000000000
χ32222-22-2-2-22200002222-22-2-2-2-2-22-2-22222-2-2-2-2000000002-22-20000−2−222−2−22200000000000000000000002-22-20000−2−222−2−222−2−222−2−22200000000000000
χ33222-22-2-2-22200002222-22-2-2-2-2-22-2-22222-2-2-2-200000000-22-22000022−2−222−2−20000000000000000000000-22-22000022−2−222−2−2−2−222−2−22200000000000000
χ34222-22-2-2-22200002222-22-2-2-2-2-22-2-22222-2-2-2-200000000-22-220000−2−222−2−2220000000000000000000000-22-220000−2−222−2−22222−2−222−2−200000000000000
χ3522-22-2-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-222222i2i−2i−2i−2i−2i2i2i000000000000000000-2-222000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ3622-22-2-2-2222-222-222-2-2-2-2-22222-2-2-222-2-2-2-222-2-2-2-22222−2i−2i2i2i2i2i−2i−2i000000000000000000-2-22200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ3722-22-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22i2i−2i−2i2i2i−2i−2i000000002-222-1-1-2-211-1-111-1-1-1-11111−i−iii−i−iii0000000000000000002i−2i0000−i−iii00
χ3822-22-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-22i2i−2i−2i2i2i−2i−2i00000000-22-2-21122-1-1-1-1111111-1-1-1-1−i−iii−i−iii000000000000000000−2i2i0000ii−i−i00
χ3922-22-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2−2i−2i2i2i−2i−2i2i2i000000002-222-1-1-2-211-1-111-1-1-1-11111ii−i−iii−i−i000000000000000000−2i2i0000ii−i−i00
χ4022-22-2-2-222-12-2-222-1-2-2-2112-12-11-21-1-11111-1-122-1-1-211-2−2i−2i2i2i−2i−2i2i2i00000000-22-2-21122-1-1-1-1111111-1-1-1-1ii−i−iii−i−i0000000000000000002i−2i0000−i−iii00
χ4122-22-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-122i2i−2i−2i−2i−2i2i2i000000000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i0000000000000000000000003−3−3300
χ4222-22-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-122i2i−2i−2i−2i−2i2i2i000000000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i000000000000000000000000−333−300
χ4322-22-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-12−2i−2i2i2i2i2i−2i−2i000000000000−i3i300i3−i311-1-1−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii000000000000000000000000−333−300
χ4422-22-2-2-222-1-222-22-1-2-2-2112-12-11-21-1-11111-1-1-2-2112-1-12−2i−2i2i2i2i2i−2i−2i000000000000i3−i300−i3i311-1-1i3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii0000000000000000000000003−3−3300
χ4522-22-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21000000002i2i2i2i−2i−2i−2i−2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000−i−i−i−iiiii000000002i−2i00−i−iii000000
χ4622-22-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-21000000002i2i2i2i−2i−2i−2i−2i-2211-2-2-1-122-1-1111111-1-1-1-100000000−i−i−i−iiiii00000000−2i2i00ii−i−i000000
χ4722-22-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-2100000000−2i−2i−2i−2i2i2i2i2i2-2-1-12211-2-2-1-111-1-1-1-1111100000000iiii−i−i−i−i00000000−2i2i00ii−i−i000000
χ4822-22-2-2-22-122-2-22-12111-2-2-12-12-21-2-1-11111-1-1-1-1221-2-2100000000−2i−2i−2i−2i2i2i2i2i-2211-2-2-1-122-1-1111111-1-1-1-100000000iiii−i−i−i−i000000002i−2i00−i−iii000000
χ4922-2-2-222-222000022-2-22-22-2-2-2-2-22222-2-222-2-2000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i200000000000000000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000000000
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χ5122-2-2-222-222000022-2-22-22-2-2-2-2-22222-2-222-2-200000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000000000000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000000000
χ5222-2-2-222-222000022-2-22-22-2-2-2-2-22222-2-222-2-200000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000000000000000000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000000000
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χ552-222-2-22-2220000-2-22-222-2-2-222-2-222-22-22-2-22000000000000-22-22−i2i2−i2i2−i2i2−i2i200000000000000000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000
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χ592-22-2-22-2222-22-22-2-22-2-22222-2-2-22-22-22-2-222-2-22-222-22-2000000002i−2i−2i2i2i−2i−2i2i0000000000-22-2200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
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χ632-22-2-22-22-12-22-221-2-11122-121-2-2-1-2-11-111-1-111-1-22-1-22100000000−2i2i2i−2i−2i2i2i−2i003−3003−3001-11-13−33−33−33−300000000i−i−iii−i−ii000000000000i3−i3i3−i3000000
χ642-22-2-22-22-12-22-221-2-11122-121-2-2-1-2-11-111-1-111-1-22-1-22100000000−2i2i2i−2i−2i2i2i−2i00−3300−33001-11-1−33−33−33−3300000000i−i−iii−i−ii000000000000−i3i3−i3i3000000
χ652-2-2222-2-2220000-2-2-22-2-22-2-22222-22-2-22-22-220000000000002i−2i−2i2i2−22−2−22−22000000000000000000000000002i−2i−2i2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000
χ662-2-2222-2-2220000-2-2-22-2-22-2-22222-22-2-22-22-220000000000002i−2i−2i2i−22−222−22−2000000000000000000000000002i−2i−2i2i−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000
χ672-2-2222-2-2220000-2-2-22-2-22-2-22222-22-2-22-22-22000000000000−2i2i2i−2i2−22−2−22−2200000000000000000000000000−2i2i2i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000000000
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χ692-2-2-22-2222222-2-2-2-2-222-2-222-2-22-222-2-222-22-22-22-22-22-2000000000000000000000000002-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ702-2-2-22-2222222-2-2-2-2-222-2-222-2-22-222-2-222-22-22-22-22-22-2000000000000000000000000002-2-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ712-2-2-22-22222-2-222-2-2-222-2-222-2-22-222-2-222-22-2-22-22-22-22000000002-2-22-222-20000000000-222-200000000000000002-2-22-222-20000000000000000000000
χ722-2-2-22-22222-2-222-2-2-222-2-222-2-22-222-2-222-22-2-22-22-22-2200000000-222-22-2-220000000000-222-20000000000000000-222-22-2-220000000000000000000000
χ732-2-2-22-222-12-2-2221-21-1-1-2-2-121-2212-111-1-11-111-1-2212-2-1000000002-2-22-222-2003−300−33001-1-113−33−3−33−3300000000-111-11-1-11000000000000−333−3000000
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χ7744444444-24-4-4-4-4-24-2-2-244-24-244-24-2-2-2-2-2-2-2-222-4-42-4-420000000000000000000000000022220000000000000000000000000000000000000000000000
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χ7944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-20000000000000000-4-4222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
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χ9244-4-4-444-44-200004-2-4-442-2-42-4224-2-2-222-2-22200000000−4i4i4i−4i00000000000000000000000000000000002i−2i−2i2i0000000000000000000000000000000000
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χ1144-4-4-44-444-2-244-4-4222-2-222-2-222-22-21-1-111-11-1-22-22-22-22000000000000000000000000001-1-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ1154-4-4-44-444-2-2-4-444222-2-222-2-222-22-21-1-111-11-12-22-22-22-200000000000000000023−2300−232300-111-1−33−333−33−300000000000000000000000000000000000000
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χ117888-88-8-8-8-4-40000-4-4-4-44-444444-4442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-888-8-4-40000-4-444-44-444444-4-422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-888-8-88-8-4-4000044-44-4-4444-4-444-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8888-8-8-4-40000444-444-444-4-4-4-442-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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