Finite Group Databasebeta

← Group #11810341

Character table — Group #11810341

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666622344666666612121212444446666666612121212121212121212121212124444444444121212121212121222224412121212121212121212121222224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-11
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ17222222222-122-1-122-122-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-122-1-122-122-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000-2011110000000000000
χ19222222222-122-1-122-122-1-1-1-1222-1-2-2-1-1-1-1-1-1-111112222-222-1-1-1-1-1-1-2-2-2-21111111111-2-222000000-1-1-1-111110000-20-1-1110000000000000
χ20222222222-122-1-122-122-1-1-1-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-1-1-1-1-2-2-2-2111111111122-2-20000001111-1-1-1-100002011-1-10000000000000
χ21222222222-122-1-122-122-1-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-211111122-2-211-1-1-1-1111122-2-2000000-1-1-1-1-1-1-1-10000-2011110000000000000
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χ23222222222-122-1-122-122-1-1-1-12-2-2-1-2-2-1-1-1-1-1-1-1111122222-2-2111111-2-222-1-11111-1-1-1-1-2-2-2-2000000-1-1-1-1111100002011-1-10000000000000
χ24222222222-122-1-122-122-1-1-1-12-2-2-1-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2111111-2-222-1-11111-1-1-1-122220000001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-122-1-12-1-12222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000222222000000000000020000-1-1-1-1-1-1-1-100000
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χ2722222222-12-1-122-1-12-1-12222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-11111-2-21111111100002222-2-20000000000000-20000-1-111-1-11100000
χ2822222222-12-1-122-1-12-1-12222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-11111-2-2111111110000-2-2-2-22200000000000002000011-1-111-1-100000
χ2922222222-12-1-122-1-12-1-12222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-21111-1-111-2-2-1-1-1-11111000022-2-2-2-2000000000000020000-1-1-1-1111100000
χ3022222222-12-1-122-1-12-1-12222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-21111-1-111-2-2-1-1-1-111110000-2-222220000000000000-200001111-1-1-1-100000
χ3122222222-12-1-122-1-12-1-12222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2111111-1-1221111-1-1-1-1000022-2-2220000000000000-20000-1-11111-1-100000
χ3222222222-12-1-122-1-12-1-12222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2111111-1-1221111-1-1-1-10000-2-222-2-200000000000002000011-1-1-1-11100000
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χ36222-2-2-22-2222-22-22-222-22-2-2-2-20020022-2-2-22-20000000000000000000000000000000−2i2i000000−2i2i0000−2i−2i2i2i22-2-2000000000000−2i2i00000
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χ412-2222-2-2-222-22-222-22-22-22-2-2-200200-2-222-22-200002i−2i2i−2i000000000000000000000000000002i−2i002i−2i2i−2i00002-22-200000000002i−2i0000000
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χ532-2-22-2-2222-1-2-21-1-2-2122-11-1122-2-1001-1-11-1113−33−32-2-2202-2-11-1-11100003−33−33−333−3−3002-2000000-111-13−33−3000000-113−30000000000000
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χ1024-4-4-4444-44-2-4422-4424-4-2-22-2-400-2002-22-222-20000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ1034-4-4-4444-4-242-2-4-42-2-4-2244-44200-2002-22-222-2000000000000000000000000000000000000000000000000000000000000023−23000000000
χ1044-4-4-4444-4-242-2-4-42-2-4-2244-44200-2002-22-222-20000000000000000000000000000000000000000000000000000000000000−2323000000000
χ105888-8-8-88-8-4-4-44-44-44-4-44-444440020022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-4-44-4-44-444-4444-44002002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-44-4-44-44-44-444400200-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-44-4444-44-44-4-44-4400200-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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