Finite Group Databasebeta

← Group #11812893

Character table — Group #11812893

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121244444444441212121212121212222224661212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-111111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11
χ17222222222-1222-1-122-1-1-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000020-1-100-1-100000000000
χ18222222222-1222-1-122-1-1-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000-2011001100000000000
χ19222222222-1222-1-122-1-1-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-211-2-21122-1-1-1-11111111122-2-2000000-1-1-1-1-1-1-1-10000-2011001100000000000
χ20222222222-1222-1-122-1-1-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211-2-21122-1-1-1-111111111-2-22200000011111111000020-1-100-1-100000000000
χ21222222222-1222-1-122-1-1-1-12-12-1-2-222-1-1-1-1-1-1-111112222-222-1-1-2-211-2-21111-1-1-1-11111-2-2220000001111-1-1-1-10000-201100-1-100000000000
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χ23222222222-1222-1-122-1-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-21122-1-1-2-211111111-1-1-1-1-2-2-2-20000001111-1-1-1-1000020-1-1001100000000000
χ24222222222-1222-1-122-1-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-21122-1-1-2-211111111-1-1-1-12222000000-1-1-1-111110000-201100-1-100000000000
χ2522222222-12-1-1-122-1-12222-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222220000000000000200-1-100-1-1-1-1-1-100000
χ2622222222-12-1-1-122-1-12222-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-20000000000000-200110011111100000
χ2722222222-12-1-1-122-1-12222-12-1-122-2-2-1-1-1-1-1-1-122220000-211-2-211-2-2-1-1-1-1-1-11111111100002222-2-20000000000000-2001100-1-1-1-11100000
χ2822222222-12-1-1-122-1-12222-12-1-122-2-2-1-1-1-1-1-1-122220000-211-2-211-2-2-1-1-1-1-1-1111111110000-2-2-2-2220000000000000200-1-1001111-1-100000
χ2922222222-12-1-1-122-1-12222-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-1-12211-2-2111111-1-1-1-11111000022-2-2220000000000000-2001100-1-111-1-100000
χ3022222222-12-1-1-122-1-12222-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-1-12211-2-2111111-1-1-1-111110000-2-222-2-20000000000000200-1-10011-1-11100000
χ3122222222-12-1-1-122-1-12222-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2-1-1221111111111-1-1-1-1000022-2-2-2-20000000000000200-1-100-1-1111100000
χ3222222222-12-1-1-122-1-12222-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2-1-1221111111111-1-1-1-10000-2-222220000000000000-200110011-1-1-1-100000
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χ422-22-2-2-22222-2-2-2-2-222-222-2-22220000-2-22-2-22200002-22-20000000000000000000000000000000-2200002-22-20000000000000000-2200-220
χ432-22-2-2-22222-2-2-2-2-222-222-2-22220000-2-22-2-2220000-22-2200000000000000000000000000000002-20000-22-2200000000000000002-200-220
χ442-22-2-2-22222-2-2-2-2-222-222-2-22220000-2-22-2-2220000-22-220000000000000000000000000000000-220000-22-220000000000000000-22002-20
χ452-2-222-2-2222-2-22-2-2-2-22-2-2222222-200-2-2222-2-222-2-200000000000002-222-2-2000000000000000000000000002-2-22000000000000002-2000
χ462-2-222-2-2222-2-22-2-2-2-22-2-2222222-200-2-2222-2-222-2-200000000000002-222-2-200000000000000000000000000-222-200000000000000-22000
χ472-2-222-2-2222-2-22-2-2-2-22-2-222222-2200-2-2222-2-2-2-2220000000000000-22-2-222000000000000000000000000002-2-2200000000000000-22000
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χ492-2-22-222-222-222-222-2-22-22-2-2-22002-2-22-22-22-200002i−2i−2i2i02-22-2000000000022-2-20000002i−2i00000000002i−2i−2i2i00000000002i−2i00000000000
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χ984-4-444-4-44-2-222-22222-222-2-2-2-21-4400-1-1111-1-122-2-200000000000002-2-1-111−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000
χ994-4-44-444-4-242-2-2-44-22-44-442-42-2004-42-22-22-22000000000-224-40000000000-2-222000000000000000000000000000000000000000000000
χ1004-4-44-444-4-242-2-2-44-22-44-442-42-200-442-22-22-220000000002-2-44000000000022-2-2000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-22-2-22-2-222-22-22221004-4-11-11-11-123−2323−2300000-22-220023−2300−33−3311-1-1−3−33300000000000000000000000000000000000000000
χ1024-4-44-444-4-2-22-2-22-2-222-22-22221004-4-11-11-11-1−2323−232300000-22-2200−2323003−33−311-1-133−3−300000000000000000000000000000000000000000
χ1034-4-44-444-4-2-22-2-22-2-222-22-2222100-44-11-11-11-123−2323−23000002-22-200−232300−33−33-1-11133−3−300000000000000000000000000000000000000000
χ1044-4-44-444-4-2-22-2-22-2-222-22-2222100-44-11-11-11-1−2323−2323000002-22-20023−23003−33−3-1-111−3−33300000000000000000000000000000000000000000
χ10588-8-88-88-8-4-4-444-44-44-4-444-444200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-4-44-4-44444444-4-420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-888-8-8-4-44-444-44-4-44-44-44420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-8-888-4-444444-4-44-4-444-4-420000-2-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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