Finite Group Databasebeta

← Group #11856269

Character table — Group #11856269

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122222222222336666666666666636666666666666662222222244444444446666121212121212121212121212121212126666666612121212121212124444444424446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111
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
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ911111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ1011111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-11
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-11-1
χ1311111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-11
χ1411111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-1111-1
χ1511111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1
χ1611111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-11
χ172222222222222-12222-1-1-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222220000000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000022000-1-1-1-10000
χ182222222222222-12222-1-1-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222200000000-2-2-1-1-1-1-2-211-2-21111111111-1-1-1-1-1-1-1-100000000000000000-2-200011110000
χ192222222222222-12222-1-1-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-11111111100000000000000000-2-200011110000
χ202222222222222-12222-1-1-122-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-2-2-1-1-1-1-2-211-2-21111111111111111110000000000000000022000-1-1-1-10000
χ21222222222222-12-1-1-1-1222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1000000002222222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000002002-1-10000-1-100
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χ23222222222222-12-1-1-1-1222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1000000001111111100000000-200-21100001100
χ24222222222222-12-1-1-1-1222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-111-2-211-2-2111111110000000011111111000000002002-1-10000-1-100
χ2522222222-2-2-2-22-12222-1-1-122-1-1-1-12-1-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-2000000002-2111122-1-1-2-211-1-1-1-11111-1-1-1-11111000000000000000002-2000-1-1110000
χ2622222222-2-2-2-22-12222-1-1-122-1-1-1-12-1-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-200000000-221111-2-21122-1-11111-1-1-1-1-1-1-1-1111100000000000000000-2200011-1-10000
χ2722222222-2-2-2-22-12222-1-1-122-1-1-1-12-1-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-22222000000002-2111122-1-1-2-211-1-1-1-111111111-1-1-1-100000000000000000-2200011-1-10000
χ2822222222-2-2-2-22-12222-1-1-122-1-1-1-12-1-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-2222200000000-221111-2-21122-1-11111-1-1-1-11111-1-1-1-1000000000000000002-2000-1-1110000
χ2922222222-2-2-2-2-12-1-1-1-1222-1-12222-1-11111-2-2-2-2-1-1-1-1-1-1-1000000002222-2-2-2-22-21111-1-12211-2-2-1-1-1-1111100000000-1-1-1-1111100000000200-2-1-100001100
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χ3122222222-2-2-2-2-12-1-1-1-1222-1-12222-1-11111-2-2-2-2-1-1-1-1-1-1-100000000-2-2-2-222222-21111-1-12211-2-2-1-1-1-11111000000001111-1-1-1-100000000-2002110000-1-100
χ3222222222-2-2-2-2-12-1-1-1-1222-1-12222-1-11111-2-2-2-2-1-1-1-1-1-1-100000000-2-2-2-22222-22111111-2-2-1-1221111-1-1-1-1000000001111-1-1-1-100000000200-2-1-100001100
χ33222-2-2-2-2222-2-222-2-2-2-22-2-22222-2-22222-2-222-2-22-2-2-2-2220000000022-2-222-2-20022-2-200000000000000000000000022-2-222-2-20000000000000000000000
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χ39222-2-2-2-22-2-22222-2-2-2-22-2-22222-2-222-2-222-2-2222-2-2-2-2220000000022-2-2-2-22200-2-22200000000000000000000000022-2-2-2-2220000000000000000000000
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χ42222-2-2-2-22-2-222-1211112-2-2-1-122-2-2-1-111-1-1-2-222-11111-1-10000000022-2-2-2-2220011-1-1i3−i300−i3i300i3i3−i3−i3−i3−i3i3i300000000-1-11111-1-1000000000000i3−i30000−i3i300
χ43222-2-2-2-22-2-222-1211112-2-2-1-122-2-2-1-111-1-1-2-222-11111-1-100000000-2-22222-2-20011-1-1−i3i300i3−i300−i3−i3i3i3i3i3−i3−i30000000011-1-1-1-111000000000000i3−i30000−i3i300
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χ8844-44-44-4-400004-244-4-42-224-4-22-22-4-2000000002-2-222-220000-4-444000000000000000000000000000000000022-2-2000000000000000000000000000000
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χ9144-4-44-44-400004-2-4-44422-24-4-222-2-4-200000000222-2-2-2244-4-40000000000000000000000000000000000-2-2220000000000000000000000000000000000
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χ1024-44-444-4-40000-242-22-2-44-42-2-44-442-20000000022-22-22-200000000−4i4i4i−4i00000000000000000000000000000000002i−2i−2i2i00000000000000000000000000
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χ1064-4-444-4-444-44-4-2-2-222-2-2222222-2-2-21-22-22-22-2211-1-11-1-10000000000000000001-11-100000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
χ1074-4-444-4-44-44-444-24-4-44-222-4-422-2-24-2-44-442-22-2-2-222-2220000000000000000002-22-2000000000000000000000000000000000000000000000000000000
χ1084-4-444-4-44-44-44-24-222-24-4-422-4-444-2-22-22-2-44-44-2-222-2220000000000000000002-22-2000000000000000000000000000000000000000000000000000000
χ1094-4-444-4-44-44-44-2-2-222-2-2222222-2-2-212-22-22-22-211-1-11-1-1000000000000000000-11-11000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ1104-4-444-4-44-44-44-2-2-222-2-2222222-2-2-212-22-22-22-211-1-11-1-1000000000000000000-11-1100000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
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χ1134-4-4-4-44444-4-44-2-22-2-22-2-2-2222222-21-222-2-222-21-111-1-1-10000000000000000001-1-1100−232300−23233−33−33−33−300000000000000000000000000000000000000
χ1144-4-4-4-4444-444-4-242-2-2244422-4-4-4-4-2-22-2-22-444-4-22-2-22220000000000000000002-2-22000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-4444-444-4-2-22-2-22-2-2-2222222-212-2-222-2-221-111-1-1-1000000000000000000-111-10023−2300−2323−33−333−33−300000000000000000000000000000000000000
χ1164-4-4-4-4444-444-4-2-22-2-22-2-2-2222222-212-2-222-2-221-111-1-1-1000000000000000000-111-100−23230023−233−33−3−33−3300000000000000000000000000000000000000
χ11788-88-88-8-80000-4-4-4-4444-44-44-44-444200000000-222-2-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-88-88-80000-4-444-4-444-4-44-444-44200000000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-888-8-88-80000-4-4-44-4444-44-44-4-444200000000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-888-8-80000-4-44-44-44-444-44-44-44200000000-2-22-22-220000000000000000000000000000000000000000000000000000000000000000000000000000

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