Finite Group Databasebeta

← Group #11817836

Character table — Group #11817836

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212122244444444666612121212444424661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-1-1-111-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11-111-1-1-1-1-1-111-1-111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-11111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-111111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11
χ17222222222-1222-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-100000200-1-1-1-100000000000
χ18222222222-1222-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000001111111100000-200111100000000000
χ19222222222-1222-1-1-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-111112222-222-1-1-2-2-2-211-1-1-1-111111111-2-2220000001111-1-1-1-100000-20011-1-100000000000
χ20222222222-1222-1-1-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-2-2-2-211-1-1-1-11111111122-2-2000000-1-1-1-1111100000200-1-11100000000000
χ21222222222-1222-1-1-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-21122-2-2111111-1-1-1-1111122-2-2000000-1-1-1-1-1-1-1-100000-200111100000000000
χ22222222222-1222-1-1-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-21122-2-2111111-1-1-1-11111-2-2220000001111111100000200-1-1-1-100000000000
χ23222222222-1222-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-222-1-111111111-1-1-1-1-2-2-2-20000001111-1-1-1-100000200-1-11100000000000
χ24222222222-1222-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-222-1-111111111-1-1-1-12222000000-1-1-1-1111100000-20011-1-100000000000
χ2522222222-12-1-1-1222-1-1-12222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022222200000000000020-1-10000-1-1-1-1-1-100000
χ2622222222-12-1-1-1222-1-1-12222-1-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000000000-2011000011111100000
χ2722222222-12-1-1-1222-1-1-12222-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1221111-2-2-1-1-1-11111111100002222-2-2000000000000-20110000-1-1-1-11100000
χ2822222222-12-1-1-1222-1-1-12222-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1221111-2-2-1-1-1-1111111110000-2-2-2-22200000000000020-1-100001111-1-100000
χ2922222222-12-1-1-1222-1-1-12222-1-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-11111000022-2-222000000000000-20110000-1-111-1-100000
χ3022222222-12-1-1-1222-1-1-12222-1-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-111-2-21111-1-1-1-111110000-2-222-2-200000000000020-1-1000011-1-11100000
χ3122222222-12-1-1-1222-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211-1-12211111111-1-1-1-1000022-2-2-2-200000000000020-1-10000-1-1111100000
χ3222222222-12-1-1-1222-1-1-12222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211-1-12211111111-1-1-1-10000-2-22222000000000000-2011000011-1-1-1-100000
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χ35222-2-2-22-2222-2-22-2-22-2-22-22-222-220022-2-22-2-200002i2i−2i−2i0-22-22000000-2-2220000000000−2i2i00000000002i2i−2i−2i0000000000−2i2i00000000000
χ36222-2-2-22-2222-2-22-2-22-2-22-22-222-220022-2-22-2-20000−2i−2i2i2i0-22-22000000-2-22200000000002i−2i0000000000−2i−2i2i2i00000000002i−2i00000000000
χ37222-2-2-22-22-12-2-2-1112-2-2-11-112-12-200-1-111-11133−3−32i2i−2i−2i02-2-1100003−3-1-11133−3−333−3−3002i−2i000000−i3−i3i3i3−i−iii00000000−i3i3−ii00000000000
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χ39222-2-2-22-22-12-2-2-1112-2-2-11-112-12-200-1-111-111−3−3332i2i−2i−2i02-2-110000−33-1-111−3−333−3−333002i−2i000000i3i3−i3−i3−i−iii00000000i3−i3−ii00000000000
χ40222-2-2-22-22-12-2-2-1112-2-2-11-112-12-200-1-111-111−3−333−2i−2i2i2i02-2-110000−33-1-111−3−333−3−33300−2i2i000000−i3−i3i3i3ii−i−i00000000−i3i3i−i00000000000
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χ984-4-4-4444-44-2-44-42-22-4-442-2-224-200002-2-2222-2−232323−230000000000000000000−232323−23000000000000000000000000000000000000000000000
χ994-4-4-4444-4-242-22-44-422-2-444-4-2-200002-2-2222-2000000000000000−2i32i30000000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ1004-4-4-4444-4-242-22-44-422-2-444-4-2-200002-2-2222-20000000000000002i3−2i300000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-22-222-2222-22-2-22-210000-111-1-1-1123−23−232300000000000−2i32i3003i−3i−3i3i−333−3i3−i3−i3i300000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-22-222-2222-22-2-22-210000-111-1-1-1123−23−2323000000000002i3−2i300−3i3i3i−3i−333−3−i3i3i3−i300000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-22-222-2222-22-2-22-210000-111-1-1-11−232323−2300000000000−2i32i300−3i3i3i−3i3−3−33i3−i3−i3i300000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-22-222-2222-22-2-22-210000-111-1-1-11−232323−23000000000002i3−2i3003i−3i−3i3i3−3−33−i3i3i3−i300000000000000000000000000000000000000000
χ10588-88-88-8-8-4-4-444-4444-4-44-44-44200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-4-4-4-4-4-4-444444444200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-444-44-4-44-444-4420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-444-444-4-44-4-4-444420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000

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