Finite Group Databasebeta

← Group #11790794

Character table — Group #11790794

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order122222444433666666666612121212121212124444444444444444661212121244441212121212121212121212121212121244444422446612128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-11-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-11-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-11-11-1-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-11-11-11-1111-1-1
χ91111-1-111-1-11111-1-1111-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-111-1-1i−ii−i
χ101111-1-111-1-11111-1-1111-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111−ii−ii
χ111111-1-111-1-11111-1-1111-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-111-1-1−ii−ii
χ121111-1-111-1-11111-1-1111-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111i−ii−i
χ131111-1-1-1-1111111-1-1111-1-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111111-1-111-1-11i−i−ii
χ141111-1-1-1-1111111-1-1111-1-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-111-1-111-1−iii−i
χ151111-1-1-1-1111111-1-1111-1-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111111-1-111-1-11−iii−i
χ161111-1-1-1-1111111-1-1111-1-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-111-1-111-1i−i−ii
χ172222222222222222222222222222220000000000000000222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-200000000000000002222-2-2000000000000
χ192222-2-222-2-22222-2-2222-2-222222-2-2-2-20000000000000000-2-222-2-222220000000000000000-2-222-2-2000000000000
χ202222-2-2-2-2222222-2-2222-2-22-2-2-2-222220000000000000000-2-2-2-2222222000000000000000022-2-2-2-2000000000000
χ2122-2-2002-20022-2-200-22200-222-2-200001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002-2002i−2i2i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002i−2i00000000000000
χ2222-2-2002-20022-2-200-22200-222-2-200001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002-200−2i2i−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2i2i00000000000000
χ2322-2-2002-20022-2-200-22200-222-2-20000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002-200−2i2i−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2i2i00000000000000
χ2422-2-2002-20022-2-200-22200-222-2-20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002-2002i−2i2i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002i−2i00000000000000
χ2522-2-200-220022-2-200-22200-2-2-22200001+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00-22002i−2i2i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00−2i2i00000000000000
χ2622-2-200-220022-2-200-22200-2-2-22200001−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00-2200−2i2i−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002i−2i00000000000000
χ2722-2-200-220022-2-200-22200-2-2-2220000−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00-2200−2i2i−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002i−2i00000000000000
χ2822-2-200-220022-2-200-22200-2-2-2220000−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00-22002i−2i2i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00−2i2i00000000000000
χ292-22-200002i−2i222-2002-2-200-200002i2i−2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00002i−2i−2i2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2-20000000000000000
χ302-22-200002i−2i222-2002-2-200-200002i2i−2i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00002i−2i2i−2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i-220000000000000000
χ312-22-200002i−2i222-2002-2-200-200002i2i−2i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00002i−2i2i−2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i-220000000000000000
χ322-22-200002i−2i222-2002-2-200-200002i2i−2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002i−2i−2i2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-20000000000000000
χ332-22-20000−2i2i222-2002-2-200-20000−2i−2i2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000−2i2i−2i2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i-220000000000000000
χ342-22-20000−2i2i222-2002-2-200-20000−2i−2i2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000−2i2i2i−2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2-20000000000000000
χ352-22-20000−2i2i222-2002-2-200-20000−2i−2i2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000−2i2i2i−2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-20000000000000000
χ362-22-20000−2i2i222-2002-2-200-20000−2i−2i2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000−2i2i−2i2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i-220000000000000000
χ372-2-222-2000022-222-2-2-2-22-2200000000000000002i−2i−2i2i−2i2i2i−2i2-2000022-2-2000000002i−2i−2i2i−2i2i2i−2i00002-2000000000000
χ382-2-222-2000022-222-2-2-2-22-220000000000000000−2i2i2i−2i2i−2i−2i2i2-2000022-2-200000000−2i2i2i−2i2i−2i−2i2i00002-2000000000000
χ392-2-222-2000022-222-2-2-2-22-22000000002-2-222-2-22000000002-20000-2-2222-2-222-2-22000000000000-22000000000000
χ402-2-222-2000022-222-2-2-2-22-2200000000-222-2-222-2000000002-20000-2-222-222-2-222-2000000000000-22000000000000
χ412-2-22-22000022-22-22-2-2-2-22200000000000000002-2-222-2-22-220000-2-222000000002-2-222-2-2200002-2000000000000
χ422-2-22-22000022-22-22-2-2-2-2220000000000000000-222-2-222-2-220000-2-22200000000-222-2-222-200002-2000000000000
χ432-2-22-22000022-22-22-2-2-2-222000000002i−2i−2i2i−2i2i2i−2i00000000-22000022-2-22i−2i−2i2i−2i2i2i−2i000000000000-22000000000000
χ442-2-22-22000022-22-22-2-2-2-22200000000−2i2i2i−2i2i−2i−2i2i00000000-22000022-2-2−2i2i2i−2i2i−2i−2i2i000000000000-22000000000000
χ4544444444441-21111-21-211-2111111112222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-21111-21-211-211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ474444444444-21-2-2-2-21-21-2-21-2-2-2-2-2-2-2-20000000000000000111111000000000000000000000000002222-1-1-1-10000
χ484444444444-21-2-2-2-21-21-2-21-2-2-2-2-2-2-2-2000000000000000011111100000000000000000000000000-2-2-2-211110000
χ49444444-4-4-4-41-21111-21-211-2-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-222220000-1-1-1-1-1-1-1-111111111000000000000000000
χ50444444-4-4-4-41-21111-21-211-2-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-22222000011111111-1-1-1-1-1-1-1-1000000000000000000
χ51444444-4-4-4-4-21-2-2-2-21-21-2-2122222222000000000000000011-1-1-1-1000000000000000000000000002-22-2-11-110000
χ52444444-4-4-4-4-21-2-2-2-21-21-2-2122222222000000000000000011-1-1-1-100000000000000000000000000-22-221-11-10000
χ534444-4-444-4-41-211-1-1-21-2-1-1-21111-1-1-1-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-2220000−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ544444-4-444-4-41-211-1-1-21-2-1-1-21111-1-1-1-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2220000iiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ554444-4-444-4-4-21-2-2221-21221-2-2-2-222220000000000000000-1-111-1-10000000000000000000000000022-2-2-1-1110000
χ564444-4-444-4-4-21-2-2221-21221-2-2-2-222220000000000000000-1-111-1-100000000000000000000000000-2-22211-1-10000
χ574444-4-4-4-4441-211-1-1-21-2-1-1-2-1-1-1-111112i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2222-2-20000−i−i−i−iiiiiiiii−i−i−i−i000000000000000000
χ584444-4-4-4-4441-211-1-1-21-2-1-1-2-1-1-1-11111−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2222-2-20000iiii−i−i−i−i−i−i−i−iiiii000000000000000000
χ594444-4-4-4-444-21-2-2221-212212222-2-2-2-20000000000000000-1-1-1-111000000000000000000000000002-2-22-111-10000
χ604444-4-4-4-444-21-2-2221-212212222-2-2-2-20000000000000000-1-1-1-11100000000000000000000000000-222-21-1-110000
χ6144-4-4004-4001-2-1-13321-2-3-3211-1-13-33-322-2-222-2-222-2-222-2-200-22000000-1-111-1-111-1-111-1-111000000000000000000
χ6244-4-4004-4001-2-1-13321-2-3-3211-1-13-33-3-2-222-2-222-2-222-2-22200-2200000011-1-111-1-111-1-111-1-1000000000000000000
χ6344-4-4004-4001-2-1-1-3-321-233211-1-1-33-332i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00-22000000−i−iiiii−i−i−i−iiiii−i−i000000000000000000
χ6444-4-4004-4001-2-1-1-3-321-233211-1-1-33-33−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00-22000000ii−i−i−i−iiiii−i−i−i−iii000000000000000000
χ6544-4-400-44001-2-1-13321-2-3-32-1-111-33-3322-2-222-2-2-2-222-2-222002-2000000-1-111-1-11111-1-111-1-1000000000000000000
χ6644-4-400-44001-2-1-13321-2-3-32-1-111-33-33-2-222-2-22222-2-222-2-2002-200000011-1-111-1-1-1-111-1-111000000000000000000
χ6744-4-400-44001-2-1-1-3-321-2332-1-1113-33-32i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i002-2000000−i−iiiii−i−iii−i−i−i−iii000000000000000000
χ6844-4-400-44001-2-1-1-3-321-2332-1-1113-33-3−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i002-2000000ii−i−i−i−iii−i−iiiii−i−i000000000000000000
χ694-44-400004i−4i1-21-13-3-2-12-3323i−3i3i−3iii−i−i2-22-22-22-22i−2i2i−2i−2i2i−2i2i0000−2i2i0000-11-11-11-11−ii−iii−ii−i000000000000000000
χ704-44-400004i−4i1-21-13-3-2-12-3323i−3i3i−3iii−i−i-22-22-22-22−2i2i−2i2i2i−2i2i−2i0000−2i2i00001-11-11-11-1i−ii−i−ii−ii000000000000000000
χ714-44-400004i−4i1-21-1-33-2-123-32−3i3i−3i3iii−i−i2i−2i2i−2i−2i2i−2i2i2-22-22-22-20000−2i2i0000−ii−iii−ii−i-11-11-11-11000000000000000000
χ724-44-400004i−4i1-21-1-33-2-123-32−3i3i−3i3iii−i−i−2i2i−2i2i2i−2i2i−2i-22-22-22-220000−2i2i0000i−ii−i−ii−ii1-11-11-11-1000000000000000000
χ734-44-40000−4i4i1-21-13-3-2-12-332−3i3i−3i3i−i−iii2-22-22-22-2−2i2i−2i2i2i−2i2i−2i00002i−2i0000-11-11-11-11i−ii−i−ii−ii000000000000000000
χ744-44-40000−4i4i1-21-13-3-2-12-332−3i3i−3i3i−i−iii-22-22-22-222i−2i2i−2i−2i2i−2i2i00002i−2i00001-11-11-11-1−ii−iii−ii−i000000000000000000
χ754-44-40000−4i4i1-21-1-33-2-123-323i−3i3i−3i−i−iii2i−2i2i−2i−2i2i−2i2i-22-22-22-2200002i−2i0000−ii−iii−ii−i1-11-11-11-1000000000000000000
χ764-44-40000−4i4i1-21-1-33-2-123-323i−3i3i−3i−i−iii−2i2i−2i2i2i−2i2i−2i2-22-22-22-200002i−2i0000i−ii−i−ii−ii-11-11-11-11000000000000000000
χ774-4-444-400001-2-111-12-121-1-23i−3i−3i3i3i−3i−3i3i2-2-222-2-222i−2i−2i2i−2i2i2i−2i-2200000000-111-1-111-1−iii−ii−i−ii000000000000000000
χ784-4-444-400001-2-111-12-121-1-23i−3i−3i3i3i−3i−3i3i-222-2-222-2−2i2i2i−2i2i−2i−2i2i-22000000001-1-111-1-11i−i−ii−iii−i000000000000000000
χ794-4-444-400001-2-111-12-121-1-2−3i3i3i−3i−3i3i3i−3i2-2-222-2-22−2i2i2i−2i2i−2i−2i2i-2200000000-111-1-111-1i−i−ii−iii−i000000000000000000
χ804-4-444-400001-2-111-12-121-1-2−3i3i3i−3i−3i3i3i−3i-222-2-222-22i−2i−2i2i−2i2i2i−2i-22000000001-1-111-1-11−iii−ii−i−ii000000000000000000
χ814-4-44-4400001-2-11-112-12-11-23i−3i−3i3i−3i3i3i−3i2i−2i−2i2i−2i2i2i−2i-222-2-222-22-200000000−iii−ii−i−ii1-1-111-1-11000000000000000000
χ824-4-44-4400001-2-11-112-12-11-23i−3i−3i3i−3i3i3i−3i−2i2i2i−2i2i−2i−2i2i2-2-222-2-222-200000000i−i−ii−iii−i-111-1-111-1000000000000000000
χ834-4-44-4400001-2-11-112-12-11-2−3i3i3i−3i3i−3i−3i3i2i−2i−2i2i−2i2i2i−2i2-2-222-2-222-200000000−iii−ii−i−ii-111-1-111-1000000000000000000
χ844-4-44-4400001-2-11-112-12-11-2−3i3i3i−3i3i−3i−3i3i−2i2i2i−2i2i−2i−2i2i-222-2-222-22-200000000i−i−ii−iii−i1-1-111-1-11000000000000000000
χ8588-8-8008-800-424400-2-4200-2-4-44400000000000000000000002-20000000000000000000000000000000000000000
χ8688-8-800-8800-424400-2-4200-244-4-40000000000000000000000-220000000000000000000000000000000000000000
χ878-88-800008i−8i-42-440024-200-20000−4i−4i4i4i000000000000000000002i−2i00000000000000000000000000000000000000
χ888-88-80000−8i8i-42-440024-200-200004i4i−4i−4i00000000000000000000−2i2i00000000000000000000000000000000000000
χ898-8-888-80000-424-4-44-24-2-4420000000000000000000000002-2000000000000000000000000000000000000000000
χ908-8-88-880000-424-44-4-24-24-42000000000000000000000000-22000000000000000000000000000000000000000000

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