Finite Group Databasebeta

← Group #11775026

Character table — Group #11775026

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222244444444444444444444488888888888888888888889999121212121212121218181818242424242424242424242424363636363648484848
order1222223344666666344444666666666661212121212121212121212121212121212121212121212121212444488888888224424442424242424242424244446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-11111
χ7111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-111
χ8111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1111111-1-1
χ91111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111ii−i−iii−i−i-1-1-1-11-1-11ii−i−iii−i−i1ii−i−i1-1-11
χ101111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−iii−i−iii-1-1-1-1-111-1−i−iii−i−iii1ii−i−i-111-1
χ111111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1ii−i−i−i−iii11111-11-1ii−i−i−i−iii-1−i−iii1-11-1
χ121111-1-111-1-111111111ii−i−i-1-111-1-1-1-11-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1−i−iiiii−i−i1111-11-11−i−iiiii−i−i-1−i−iii-11-11
χ131111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111ii−i−iii−i−i-1-1-1-1-111-1ii−i−iii−i−i1−i−iii-111-1
χ141111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111−i−iii−i−iii-1-1-1-11-1-11−i−iii−i−iii1−i−iii1-1-11
χ151111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1ii−i−i−i−iii1111-11-11ii−i−i−i−iii-1ii−i−i-11-11
χ161111-1-111-1-111111111−i−iii-1-111-1-1-1-11-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−iiiii−i−i11111-11-1−i−iiiii−i−i-1ii−i−i1-11-1
χ1722222222-2-22222222-2000022222222222-2-2-2-2-2-2-2-2-2-20000000000000000222200000000-2-222000000000000-200000000
χ1822222222-2-22222222-2000022222222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000022-2-2000000000000200000000
χ192222222-1222-1-12-12-1222222-1-1-1-1-12-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002222000000002200-1-1-1-1000000000-1-100
χ202222222-1222-1-12-12-1222222-1-1-1-1-12-1-1-1-1-1-122-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-2-20011110000000001100
χ212222222-1222-1-12-12-12-2-2-2-22-1-1-1-1-12-1-1-1-1-1-122-12-1-1-1-1-2-2111111-2-21111110000222200000000-2-200-1-1-1-10000000001100
χ222222222-1222-1-12-12-12-2-2-2-22-1-1-1-1-12-1-1-1-1-1-122-12-1-1-1-1-2-2111111-2-21111110000-2-2-2-20000000022001111000000000-1-100
χ23222222-1222-122-12-1-122222-12-1-1-1-1-12-1-1-122-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002222000000220000-1-1-1-10000000-1-1
χ24222222-1222-122-12-1-122222-12-1-1-1-1-12-1-1-122-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000-2-200001111000000011
χ25222222-1222-122-12-1-12-2-2-2-2-12-1-1-1-1-12-1-1-122-1-12-1-1-1-1-111-2-2111111-2-21111000000002222000000-2-20000-1-1-1-1000000011
χ26222222-1222-122-12-1-12-2-2-2-2-12-1-1-1-1-12-1-1-122-1-12-1-1-1-1-111-2-2111111-2-2111100000000-2-2-2-200000022000011110000000-1-1
χ272222-2-222222222222-20000-2-222-2-2-2-22-2-22222-2-2-2-222000000000000000022220000000022-2-2000000000000-200000000
χ282222-2-222222222222-20000-2-222-2-2-2-22-2-22222-2-2-2-2220000000000000000-2-2-2-200000000-2-222000000000000200000000
χ292222-2-22-1-2-22-1-12-12-122i2i−2i−2i-21-1-111-21-11111-2-2-12-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00002i2i−2i−2i000000002-200−i−iii000000000-1100
χ302222-2-22-1-2-22-1-12-12-122i2i−2i−2i-21-1-111-21-11111-2-2-12-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000−2i−2i2i2i00000000-2200ii−i−i0000000001-100
χ312222-2-22-1-2-22-1-12-12-12−2i−2i2i2i-21-1-111-21-11111-2-2-12-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00002i2i−2i−2i00000000-2200−i−iii0000000001-100
χ322222-2-22-1-2-22-1-12-12-12−2i−2i2i2i-21-1-111-21-11111-2-2-12-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000−2i−2i2i2i000000002-200ii−i−i000000000-1100
χ332222-2-2-12-2-2-122-12-1-122i2i−2i−2i1-2-1-1111-2-111-2-2112-1-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000000002i2i−2i−2i000000-220000−i−iii00000001-1
χ342222-2-2-12-2-2-122-12-1-122i2i−2i−2i1-2-1-1111-2-111-2-2112-1-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−2i−2i2i2i0000002-20000ii−i−i0000000-11
χ352222-2-2-12-2-2-122-12-1-12−2i−2i2i2i1-2-1-1111-2-111-2-2112-1-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000000002i2i−2i−2i0000002-20000−i−iii0000000-11
χ362222-2-2-12-2-2-122-12-1-12−2i−2i2i2i1-2-1-1111-2-111-2-2112-1-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−2i−2i2i2i000000-220000ii−i−i00000001-1
χ3722-2-200222i−2i-22-22-2-2201+i−1−i1−i−1+i002-20000-2002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i2i2i−2i−2i000000002-20000000000000001−i−1+i1+i−1−i0000
χ3822-2-200222i−2i-22-22-2-2201+i−1−i1−i−1+i002-20000-2002i−2i2i−2i00002i−2i1+i−1−i1+i−1−i1+i1+i−1−i−1−i1−i−1+i1−i−1+i1−i1−i−1+i−1+i−2i−2i2i2i00000000-22000000000000000−1+i1−i−1−i1+i0000
χ3922-2-200222i−2i-22-22-2-220−1−i1+i−1+i1−i002-20000-2002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i2i2i−2i−2i000000002-2000000000000000−1+i1−i−1−i1+i0000
χ4022-2-200222i−2i-22-22-2-220−1−i1+i−1+i1−i002-20000-2002i−2i2i−2i00002i−2i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−2i−2i2i2i00000000-220000000000000001−i−1+i1+i−1−i0000
χ4122-2-20022−2i2i-22-22-2-2201−i−1+i1+i−1−i002-20000-200−2i2i−2i2i0000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i2i2i−2i−2i00000000-22000000000000000−1−i1+i−1+i1−i0000
χ4222-2-20022−2i2i-22-22-2-2201−i−1+i1+i−1−i002-20000-200−2i2i−2i2i0000−2i2i1−i−1+i1−i−1+i1−i1−i−1+i−1+i1+i−1−i1+i−1−i1+i1+i−1−i−1−i−2i−2i2i2i000000002-20000000000000001+i−1−i1−i−1+i0000
χ4322-2-20022−2i2i-22-22-2-220−1+i1−i−1−i1+i002-20000-200−2i2i−2i2i0000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i2i2i−2i−2i00000000-220000000000000001+i−1−i1−i−1+i0000
χ4422-2-20022−2i2i-22-22-2-220−1+i1−i−1−i1+i002-20000-200−2i2i−2i2i0000−2i2i−1+i1−i−1+i1−i−1+i−1+i1−i1−i−1−i1+i−1−i1+i−1−i−1−i1+i1+i−2i−2i2i2i000000002-2000000000000000−1−i1+i−1+i1−i0000
χ452-22-22-222002-2-2-22-2200000-2-2-22-2-222-222000000000000000000000000002i−2i2i−2i2−22−2i2−i2i2−i2002i−2i00002−22−2i2−i2i2−i2000000000
χ462-22-22-222002-2-2-22-2200000-2-2-22-2-222-222000000000000000000000000002i−2i2i−2i−22−22−i2i2−i2i2002i−2i0000−22−22−i2i2−i2i2000000000
χ472-22-22-222002-2-2-22-2200000-2-2-22-2-222-22200000000000000000000000000−2i2i−2i2i2−22−2−i2i2−i2i200−2i2i00002−22−2−i2i2−i2i2000000000
χ482-22-22-222002-2-2-22-2200000-2-2-22-2-222-22200000000000000000000000000−2i2i−2i2i−22−22i2−i2i2−i200−2i2i0000−22−22i2−i2i2−i2000000000
χ492-22-2-2222002-2-2-22-220000022-2222-2-2-2-2-2000000000000000000000000002i−2i2i−2ii2−i2−i2i2−222−200−2i2i0000i2−i2−i2i2−222−2000000000
χ502-22-2-2222002-2-2-22-220000022-2222-2-2-2-2-2000000000000000000000000002i−2i2i−2i−i2i2i2−i22−2−2200−2i2i0000−i2i2i2−i22−2−22000000000
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χ522-22-2-2222002-2-2-22-220000022-2222-2-2-2-2-200000000000000000000000000−2i2i−2i2i−i2i2i2−i2−222−2002i−2i0000−i2i2i2−i2−222−2000000000
χ534444444-2-4-44-2-24-24-2-400004-2-2-2-2-24-2-2-2-222-4-42-4222200000000000000000000000000000000000000000000000000000
χ54444444-24-4-4-244-24-2-2-40000-24-2-2-2-2-24-2-2-2-4-422-42222200000000000000000000000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2144444-2-21111-2-2111-2-2-2-2-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000000
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χ7944-4-400-2-2−4i4i2-22-22210−2+2i2−2i−2−2i2+2i001-13-300-13-32i−2i2i−2i00−3i3i−ii1−i−1+i1−i−1+i−2−i1+2i2+i−1−2i1+i−1−i1+i−1−i−2+i1−2i2−i−1+2i0000000000000000000000000000000000000
χ8044-4-400-2-2−4i4i2-22-22210−2+2i2−2i−2−2i2+2i001-1-3300-1-332i−2i2i−2i003i−3i−ii1−i−1+i1−i−1+i1+2i−2−i−1−2i2+i1+i−1−i1+i−1−i1−2i−2+i−1+2i2−i0000000000000000000000000000000000000
χ814-44-44-44-200422-4-2-4-200000-422-2224-22-2-200000000000000000000000000000022−2222−22000000000000−22−220000000000000
χ824-44-44-44-200422-4-2-4-200000-422-2224-22-2-2000000000000000000000000000000−2222−22220000000000002−22−20000000000000
χ834-44-44-4-2400-2-4-4242-2000002-42-222-242-2-200000000000000000000000000000000002i2−2i22i2−2i2000000000000−i2i2−i2i2000000000
χ844-44-44-4-2400-2-4-4242-2000002-42-222-242-2-20000000000000000000000000000000000−2i22i2−2i22i2000000000000i2−i2i2−i2000000000
χ854-44-4-444-200422-4-2-4-2000004-22-2-2-2-422220000000000000000000000000000002i2−2i2−2i22i2000000000000−i2i2i2−i20000000000000
χ864-44-4-444-200422-4-2-4-2000004-22-2-2-2-42222000000000000000000000000000000−2i22i22i2−2i2000000000000i2−i2−i2i20000000000000
χ874-44-4-44-2400-2-4-4242-200000-242-2-2-22-4222000000000000000000000000000000000022−22−2222000000000000−222−2000000000
χ884-44-4-44-2400-2-4-4242-200000-242-2-2-22-42220000000000000000000000000000000000−222222−220000000000002−2−22000000000
χ894-4-44004400-4-44-4-4440000000-4-40000400000000000000000000000000004-4-44000000000000000000000000000000000
χ904-4-44004400-4-44-4-4440000000-4-4000040000000000000000000000000000-444-4000000000000000000000000000000000
χ918-88-88-8-4-400-4444-4420000044-22-2-2-4-4-222000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-88-4-400-4444-44200000-4-4-222244-2-2-2000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-400-84-4-848-40000000440000-400000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-48004-884-8-4-40000000440000-400000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-40044-444-420000000-2-26-6002-66000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-40044-444-420000000-2-2-660026-6000000000000000000000000000000000000000000000000000000000000000

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