Finite Group Databasebeta

← Group #11819089

Character table — Group #11819089

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212444441212121212121212121212121212121212121212121222444444441212121212121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-111-1-11
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111-1-11
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1111
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1
χ17222222222-1222-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-1222200002-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1220022002200000000000002-1-1-1-10000-1-1-1-100000
χ18222222222-1222-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-1222200002-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200-2-20000000000000-211110000111100000
χ19222222222-1222-1-1-12-1-12-122-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1112211-2-2-1-1-1-1111111112200-2-200-2-200000000000002-1-1110000-1-11100000
χ20222222222-1222-1-1-12-1-12-122-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1112211-2-2-1-1-1-111111111-2-2002200220000000000000-211-1-1000011-1-100000
χ21222222222-1222-1-1-12-1-12-122-1-1-2-222-1-1-1-1-1-1-122220000-21111-2-2-1-1-2-21111-1-1-1-1111122002200-2-20000000000000-2-1-1-1-10000111100000
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χ23222222222-1222-1-1-12-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-1-2-2112211111111-1-1-1-12200-2-200220000000000000-2-1-111000011-1-100000
χ24222222222-1222-1-1-12-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-1-1-2-2112211111111-1-1-1-1-2-2002200-2-20000000000000211-1-10000-1-11100000
χ2522222222-12-1-1-1222-122-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-10000200000-1-1-1-1000000000
χ2622222222-12-1-1-1222-122-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200111111110000-2000001111000000000
χ2722222222-12-1-1-1222-122-12-1-12-122-2-2-1-1-1-1-1-1-111112222-222-2-2-1-1-2-211-1-1-1-11111111100-2-20022001111-1-1-1-10000-200000-1-111000000000
χ2822222222-12-1-1-1222-122-12-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-2-2-1-1-2-211-1-1-1-111111111002200-2-200-1-1-1-11111000020000011-1-1000000000
χ2922222222-12-1-1-1222-122-12-1-12-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-21122111111-1-1-1-11111002200-2-200-1-1-1-1-1-1-1-10000-2000001111000000000
χ3022222222-12-1-1-1222-122-12-1-12-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-21122111111-1-1-1-1111100-2-2002200111111110000200000-1-1-1-1000000000
χ3122222222-12-1-1-1222-122-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-22211-2-2-1-111111111-1-1-1-100-2-200-2-2001111-1-1-1-1000020000011-1-1000000000
χ3222222222-12-1-1-1222-122-12-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-22211-2-2-1-111111111-1-1-1-10022002200-1-1-1-111110000-200000-1-111000000000
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χ4122-2-22-22-2222-2-22-2-2-222-2-222-2200002-2-2-2-222000022-2-20000000000000000000000000002i−2i0000000022-2-22i−2i−2i2i00002i−2i0000000000000
χ4222-2-22-22-2222-2-22-2-2-222-2-222-2200002-2-2-2-222000022-2-2000000000000000000000000000−2i2i0000000022-2-2−2i2i2i−2i0000−2i2i0000000000000
χ4322-2-22-22-2222-2-22-2-2-222-2-222-2200002-2-2-2-2220000-2-2220000000000000000000000000002i−2i00000000-2-222−2i2i2i−2i00002i−2i0000000000000
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χ452-22-2-2-22222-2-2-2-22-222-22-2-22220000-22-2-222-200002-22-200000000000000000000000000000002-200002-22-200000000000000002-2002-20
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χ492-2-22-222-222-222-2-22-22-2-22-22-222i−2i00-2-222-22-200002-2-2202i−2i002i−2i00002i2i−2i−2i000000000000002i−2i0000002-2-2200000000002i−2i00000000000
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χ522-2-22-222-222-222-2-22-22-2-22-22-22−2i2i00-2-222-22-20000-222-20−2i2i00−2i2i0000−2i−2i2i2i000000000000002i−2i000000-222-200000000002i−2i00000000000
χ532-2-22-222-2-121-1-1-2-2212-2121-1-2-12i−2i0011-1-11-113−33−32-2-2202i−2i00−ii00−i3i3−i−iii3−33−3−i3−i3i3i30000002i−2i003−33−3-111-10000000000−ii−i3i3000000000
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χ974-4-44-444-4-2-22-2-222-22-222-22-2214i−4i00-1-111-11-1−2323−232300000−2i2i00−2i2i002i3−2i3ii−i−i3−33−3−i3−i3i3i300000000000000000000000000000000000000000
χ984-4-44-444-4-2-22-2-222-22-222-22-221−4i4i00-1-111-11-123−2323−23000002i−2i002i−2i002i3−2i3−i−iii−33−33−i3−i3i3i300000000000000000000000000000000000000000
χ994-4-44-444-4-2-22-2-222-22-222-22-221−4i4i00-1-111-11-1−2323−2323000002i−2i002i−2i00−2i32i3−i−iii3−33−3i3i3−i3−i300000000000000000000000000000000000000000
χ1004-4-4-444-4444-44-4-4-444-44-4-44-4440000-4-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-444-444-2-44-422-242-2-424-4-2-2000022-22-22-2000000000000000000000000000000000000000000000000000000000000000−2i32i30000000
χ1024-4-4-444-444-2-44-422-242-2-424-4-2-2000022-22-22-20000000000000000000000000000000000000000000000000000000000000002i3−2i30000000
χ1034-4-4-444-44-242-22-4-44-2-442-4-224-2000022-22-22-20000000000000000000000000000000000000000023−23−2323000000000000000000000000000
χ1044-4-4-444-44-242-22-4-44-2-442-4-224-2000022-22-22-200000000000000000000000000000000000000000−232323−23000000000000000000000000000
χ105888-8-88-8-8-4-4-4-44-4-4-4444-4444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-88-8-4-4-444-4444-4-444-4-44200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-44444-44-4-44-444-4-420000-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-44-4444-4-44-444-44-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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