Finite Group Databasebeta

← Group #11817794

Character table — Group #11817794

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212122244444444666612121212444424661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-111-1-111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-11111-1
χ17222222222-1222-1-1-122-1-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-1-122-1-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011110000000000000
χ19222222222-1222-1-1-122-1-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-211-2-21122-1-1-1-1111111112200-2-20000-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-1222-1-1-122-1-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211-2-21122-1-1-1-111111111-2-20022000011111111000020-1-1-1-10000000000000
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χ23222222222-1222-1-1-122-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-21122-1-1-2-211111111-1-1-1-1-2-200-2-200001111-1-1-1-1000020-1-1110000000000000
χ24222222222-1222-1-1-122-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-21122-1-1-2-211111111-1-1-1-12200220000-1-1-1-111110000-2011-1-10000000000000
χ2522222222-12-1-1-1222-1-1222-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-1222-1-1222-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1-1222-1-1222-12-1-122-2-2-1-1-1-1-1-1-122220000-211-2-211-2-2-1-1-1-1-1-111111111002200-2-2-2-2000000000000020000-1-1-1-1111100000
χ2822222222-12-1-1-1222-1-1222-12-1-122-2-2-1-1-1-1-1-1-122220000-211-2-211-2-2-1-1-1-1-1-11111111100-2-20022220000000000000-200001111-1-1-1-100000
χ2922222222-12-1-1-1222-1-1222-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-1-12211-2-2111111-1-1-1-1111100220022-2-20000000000000-20000-1-111-1-11100000
χ3022222222-12-1-1-1222-1-1222-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-1-12211-2-2111111-1-1-1-1111100-2-200-2-22200000000000002000011-1-111-1-100000
χ3122222222-12-1-1-1222-1-1222-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2-1-1221111111111-1-1-1-1002200-2-2220000000000000-20000-1-11111-1-100000
χ3222222222-12-1-1-1222-1-1222-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2-1-1221111111111-1-1-1-100-2-20022-2-200000000000002000011-1-1-1-11100000
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χ3622-22-22-2-2222-2-22-2-22-22-2-222-2200002-2-2-222-20000000000000000000000000000000-22000000−2i2i-2-22200002i2i−2i−2i000000000000−2i2i00000
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χ412-2222-2-2-222-22-2-22-2-22-22-222-220000-22-2-22-2200002-22-2000000000000000000000000000002i−2i0000002-22-22i−2i2i−2i00000000002i−2i0000000
χ422-2222-2-2-222-22-2-22-2-22-22-222-220000-22-2-22-2200002-22-200000000000000000000000000000−2i2i0000002-22-2−2i2i−2i2i0000000000−2i2i0000000
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χ442-2222-2-2-222-22-2-22-2-22-22-222-220000-22-2-22-220000-22-2200000000000000000000000000000−2i2i000000-22-222i−2i2i−2i0000000000−2i2i0000000
χ452-2-22-2-22222-2-22-2-22-2-2-2-2222222-200-2-2222-2-222-2-200000000000002-222-2-2000000000000000000000000002-2-2200000000000000002-20
χ462-2-22-2-22222-2-22-2-22-2-2-2-2222222-200-2-2222-2-222-2-200000000000002-222-2-200000000000000000000000000-222-20000000000000000-220
χ472-2-22-2-22222-2-22-2-22-2-2-2-222222-2200-2-2222-2-2-2-2220000000000000-22-2-222000000000000000000000000002-2-220000000000000000-220
χ482-2-22-2-22222-2-22-2-22-2-2-2-222222-2200-2-2222-2-2-2-2220000000000000-22-2-22200000000000000000000000000-222-200000000000000002-20
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χ974-4-44-4-444-2-222-222-22222-2-2-2-21-4400-1-1111-1-122-2-200000000000002-2-1-1113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000
χ984-4-44-4-444-2-222-222-22222-2-2-2-21-4400-1-1111-1-122-2-200000000000002-2-1-111−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000
χ994-4-4-444-44-242-2-2-444-224-4-42-42-2004-42-22-22-22000000000-224-40000000000-2-222000000000000000000000000000000000000000000000
χ1004-4-4-444-44-242-2-2-444-224-4-42-42-200-442-22-22-220000000002-2-44000000000022-2-2000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-22-2-22-2-2-22-2222221004-4-11-11-11-123−2323−2300000-22-220023−2300−33−3311-1-1−3−33300000000000000000000000000000000000000000
χ1024-4-4-444-44-2-22-2-22-2-2-22-2222221004-4-11-11-11-1−2323−232300000-22-2200−2323003−33−311-1-133−3−300000000000000000000000000000000000000000
χ1034-4-4-444-44-2-22-2-22-2-2-22-222222100-44-11-11-11-123−2323−23000002-22-200−232300−33−33-1-11133−3−300000000000000000000000000000000000000000
χ1044-4-4-444-44-2-22-2-22-2-2-22-222222100-44-11-11-11-1−2323−2323000002-22-20023−23003−33−3-1-111−3−33300000000000000000000000000000000000000000
χ10588-88-88-8-8-4-4-444-444-44-444-4-44200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-4-44-4-444444-444-420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-444-444-44-44-4-4420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-888-8-4-4444444-4-4-4-4-444-420000-2-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000

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