Finite Group Databasebeta

← Group #11817841

Character table — Group #11817841

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222444444441212121212121212444444661212121212121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-11111-1
χ17222222222-122-1-1-122-1-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022220000000000000002-1-10000-1-1-1-1-1-100000
χ18222222222-122-1-1-122-1-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2000000000000000-211000011111100000
χ19222222222-122-1-1-122-1-1-1222-1-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-211-2-2-1-1-1-1111111112200-2-2-2-20000000000000002-1-10000-1-1111100000
χ20222222222-122-1-1-122-1-1-1222-1-122-2-2-1-1-1-1-1-1-122220000-2-1-111-2-211-2-2-1-1-1-111111111-2-2002222000000000000000-211000011-1-1-1-100000
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χ23222222222-122-1-1-122-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002111122-1-1-2-211111111-1-1-1-12200-2-222000000000000000-2-1-100001111-1-100000
χ24222222222-122-1-1-122-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002111122-1-1-2-211111111-1-1-1-1-2-20022-2-20000000000000002110000-1-1-1-11100000
χ2522222222-12-1-1222-1-1222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000022-1-1-1-1-1-1-1-100002000-1-1-1-100000000000
χ2622222222-12-1-1222-1-1222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2111111110000-2000111100000000000
χ2722222222-12-1-1222-1-1222-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-2-211-2-211-1-1-1-11111111100220000-2-2-1-1-1-1-1-1-1-10000-2000111100000000000
χ2822222222-12-1-1222-1-1222-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-2-211-2-211-1-1-1-11111111100-2-20000221111111100002000-1-1-1-100000000000
χ2922222222-12-1-1222-1-1222-1-1-12-1-2-222-1-1-1-1-1-1-111112222-2-2-22211-2-2-1-11111-1-1-1-1111100-2-2000022-1-1-1-111110000-2000-1-11100000000000
χ3022222222-12-1-1222-1-1222-1-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-22211-2-2-1-11111-1-1-1-1111100220000-2-21111-1-1-1-10000200011-1-100000000000
χ3122222222-12-1-1222-1-1222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-2-2-1-1221111111111-1-1-1-100-2-20000-2-2-1-1-1-111110000200011-1-100000000000
χ3222222222-12-1-1222-1-1222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-2-2-1-1221111111111-1-1-1-100220000221111-1-1-1-10000-2000-1-11100000000000
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χ35222-2-2-22-222222-2-22-22-2-2-2-2-222-220022-2-22-2-2-2-22200000-2200000000-2-222000000000000000000000000002i2i−2i−2i0000000000000000−2i2i0
χ36222-2-2-22-222222-2-22-22-2-2-2-2-222-220022-2-22-2-2-2-22200000-2200000000-2-22200000000000000000000000000−2i−2i2i2i00000000000000002i−2i0
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χ412-222-2-2-2222-2-2-22-22222-22-2-2-220000-2-22-222-200002i−2i2i−2i0000000000000000000000000002i−2i00002i−2i2i−2i00002-22-200000000002i−2i0000000
χ422-222-2-2-2222-2-2-22-22222-22-2-2-220000-2-22-222-200002i−2i2i−2i000000000000000000000000000−2i2i00002i−2i2i−2i0000-22-220000000000−2i2i0000000
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χ442-222-2-2-2222-2-2-22-22222-22-2-2-220000-2-22-222-20000−2i2i−2i2i000000000000000000000000000−2i2i0000−2i2i−2i2i00002-22-20000000000−2i2i0000000
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χ512-2-2-22-22222-22-22-2-2-2-2-2222-22200-22-222-2-2-2200002-2-22000-220000-220000-2-222000000000000-222-2-22000000000000-220000000000000
χ522-2-2-22-22222-22-22-2-2-2-2-2222-22200-22-222-2-2-220000-222-2000-220000-220000-2-2220000000000002-2-222-20000000000002-20000000000000
χ532-2-2-22-222-121-1-22-211-2-22-1-112-1002-21-1-1111-13−33−32-2-220002-23−300-113−33−3-1-11133−3−3000000002-2-111-13−33−300000000-113−300000000000
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χ552-2-2-22-222-121-1-22-211-2-22-1-112-1002-21-1-1111-1−33−332-2-220002-2−3300-11−33−33-1-111−3−333000000002-2-111-1−33−3300000000-11−3300000000000
χ562-2-2-22-222-121-1-22-211-2-22-1-112-1002-21-1-1111-1−33−33-222-20002-2−3300-11−33−33-1-111−3−33300000000-221-1-113−33−3000000001-13−300000000000
χ572-2-2-22-222-121-1-22-211-2-22-1-112-100-221-1-1111-13−33−32-2-22000-22−33001-13−33−311-1-1−3−33300000000-22-111-13−33−3000000001-1−3300000000000
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χ1004-4-4-44-4444-2-442-22-4-422-244-4-2-200-442-2-2222-2000000000002-20000-44000022-2-2000000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-22-22-222222-2-2-22-21004-4-111-1-1-1123−2323−230000000-2223−2300-22−33−3311-1-1−3−33300000000000000000000000000000000000000000
χ1024-4-4-44-444-2-22-22-222222-2-2-22-21004-4-111-1-1-11−2323−23230000000-22−232300-223−33−311-1-133−3−300000000000000000000000000000000000000000
χ1034-4-4-44-444-2-22-22-222222-2-2-22-2100-44-111-1-1-1123−2323−2300000002-2−2323002-2−33−33-1-11133−3−300000000000000000000000000000000000000000
χ1044-4-4-44-444-2-22-22-222222-2-2-22-2100-44-111-1-1-11−2323−232300000002-223−23002-23−33−3-1-111−3−33300000000000000000000000000000000000000000
χ10588-888-8-8-8-4-4-44-4444-44-4-44-444200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-44-4-4-444444-44-44200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-4444-44-4-4-4-44-444420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-888-8-8-4-44444-4-44-44-44-4-4420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000

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