Finite Group Databasebeta

← Group #11788184

Character table — Group #11788184

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222444444444444444444446666666666666666888888999912121212121212121212121212121212181818181818242424244848484872727272
order1222222222336666666666666666664444444444444444666666444412121212121212121212121212121212444444244461212128888
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
χ5111111-1-1-1-1111111111-1-1-1-1-1-1-1111-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-111-1-111-1-1ii−i−i
χ6111111-1-1-1-1111111111-1-1-1-1-1-1-1111-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-111−i−iii
χ7111111-1-1-1-1111111111-1-1-1-1-1-1-1111-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-111-1-111-1-1−i−iii
χ8111111-1-1-1-1111111111-1-1-1-1-1-1-1111-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-111ii−i−i
χ91111-1-111-1-111111-1-1-1-11111-1-1-1111-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1111-11-11-11-1i−ii−i
χ101111-1-111-1-111111-1-1-1-11111-1-1-1111-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-11-11-11-11−ii−ii
χ111111-1-111-1-111111-1-1-1-11111-1-1-1111-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1111-11-11-11-1−ii−ii
χ121111-1-111-1-111111-1-1-1-11111-1-1-1111-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-11-11-11-11i−ii−i
χ131111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1-11
χ141111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-111-1-111-1
χ151111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-11-1-111-1-11-111-1
χ161111-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-111-1-111-11-1-11
χ172222222222222222222222222222220000000000000000222222-2-2-2-20000000000000000-2-2-2-2-2-2000000000000
χ18222222-2-2-2-2222222222-2-2-2-2-2-2-2222-2000000000000000022-2-2-2-222220000000000000000-2-2-2-222000000000000
χ192222-2-222-2-222222-2-2-2-22222-2-2-2222-20000000000000000-2-222-2-222220000000000000000-2-222-2-2000000000000
χ202222-2-2-2-22222222-2-2-2-2-2-2-2-222222220000000000000000-2-2-2-222-2-2-2-20000000000000000-2-22222000000000000
χ2122-2-2002-200222-2-2000022-2-20002-2-201+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002-2002i2i−2i−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
χ2222-2-2002-200222-2-2000022-2-20002-2-201−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002-200−2i−2i2i2i1−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
χ2322-2-2002-200222-2-2000022-2-20002-2-20−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002-200−2i−2i2i2i−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
χ2422-2-2002-200222-2-2000022-2-20002-2-20−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002-2002i2i−2i−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
χ2522-2-200-2200222-2-20000-2-2220002-2-201+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i00-22002i2i−2i−2i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i00−2i2i00000000000000
χ2622-2-200-2200222-2-20000-2-2220002-2-201−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i00-2200−2i−2i2i2i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i002i−2i00000000000000
χ2722-2-200-2200222-2-20000-2-2220002-2-20−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i00-2200−2i−2i2i2i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i002i−2i00000000000000
χ2822-2-200-2200222-2-20000-2-2220002-2-20−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i00-22002i2i−2i−2i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i00−2i2i00000000000000
χ292-22-22-2000022-22-222-2-20000000-22-201+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i2-200002i−2i2i−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−2i000000000000
χ302-22-22-2000022-22-222-2-20000000-22-201−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i2-20000−2i2i−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000−2i2i000000000000
χ312-22-22-2000022-22-222-2-20000000-22-20−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i2-20000−2i2i−2i2i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000−2i2i000000000000
χ322-22-22-2000022-22-222-2-20000000-22-20−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i2-200002i−2i2i−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−2i000000000000
χ332-22-2-22000022-22-2-2-2220000000-22-201+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i-2200002i−2i2i−2i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i0000−2i2i000000000000
χ342-22-2-22000022-22-2-2-2220000000-22-201−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i-220000−2i2i−2i2i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i00002i−2i000000000000
χ352-22-2-22000022-22-2-2-2220000000-22-20−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i-220000−2i2i−2i2i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i00002i−2i000000000000
χ362-22-2-22000022-22-2-2-2220000000-22-20−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i-2200002i−2i2i−2i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i0000−2i2i000000000000
χ372-2-2200002-222-2-220000000022-2-2-22-200002i−2i−2i2i−2i2i2i−2i000000002-22-2-2200002i−2i−2i2i−2i2i2i−2i00002-20000000000000000
χ382-2-2200002-222-2-220000000022-2-2-22-20000−2i2i2i−2i2i−2i−2i2i000000002-22-2-220000−2i2i2i−2i2i−2i−2i2i00002-20000000000000000
χ392-2-2200002-222-2-220000000022-2-2-22-22i−2i−2i2i00000000−2i2i2i−2i00002-2-222-22i−2i−2i2i00000000−2i2i2i−2i-220000000000000000
χ402-2-2200002-222-2-220000000022-2-2-22-2−2i2i2i−2i000000002i−2i−2i2i00002-2-222-2−2i2i2i−2i000000002i−2i−2i2i-220000000000000000
χ412-2-220000-2222-2-2200000000-2-22-2-22200002-2-222-2-2200000000-22-222-200002-2-222-2-2200002-20000000000000000
χ422-2-220000-2222-2-2200000000-2-22-2-2220000-222-2-222-200000000-22-222-20000-222-2-222-200002-20000000000000000
χ432-2-220000-2222-2-2200000000-2-22-2-2222-2-22000000002-2-220000-222-2-222-2-22000000002-2-22-220000000000000000
χ442-2-220000-2222-2-2200000000-2-22-2-222-222-200000000-222-20000-222-2-22-222-200000000-222-2-220000000000000000
χ4544444444441-211111111111111-2-2-212222222222222222-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ4644444444441-211111111111111-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111000000000000000000
χ474444444444-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-20000000000000000111111000000000000000000000000002222-1-1-1-10000
χ484444444444-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2000000000000000011111100000000000000000000000000-2-2-2-211110000
χ49444444-4-4-4-41-21111111-1-1-1-1-1-1-1-2-2-2-12i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-222220000−i−i−i−i−i−i−i−iiiiiiiii000000000000000000
χ50444444-4-4-4-41-21111111-1-1-1-1-1-1-1-2-2-2-1−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-222220000iiiiiiii−i−i−i−i−i−i−i−i000000000000000000
χ51444444-4-4-4-4-21-2-2-2-2-2-2-222222221112000000000000000011-1-1-1-10000000000000000000000000022-2-2-1-1110000
χ52444444-4-4-4-4-21-2-2-2-2-2-2-222222221112000000000000000011-1-1-1-100000000000000000000000000-2-22211-1-10000
χ534444-4-444-4-41-2111-1-1-1-11111-1-1-1-2-2-2-12i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i22-2-2220000−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ544444-4-444-4-41-2111-1-1-1-11111-1-1-1-2-2-2-1−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i22-2-2220000iiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ554444-4-444-4-4-21-2-2-22222-2-2-2-222211120000000000000000-1-111-1-1000000000000000000000000002-22-2-11-110000
χ564444-4-444-4-4-21-2-2-22222-2-2-2-222211120000000000000000-1-111-1-100000000000000000000000000-22-221-11-10000
χ574444-4-4-4-4441-2111-1-1-1-1-1-1-1-1111-2-2-212222-2-2-2-2-2-2-2-222222222-2-20000-1-1-1-111111111-1-1-1-1000000000000000000
χ584444-4-4-4-4441-2111-1-1-1-1-1-1-1-1111-2-2-21-2-2-2-222222222-2-2-2-22222-2-200001111-1-1-1-1-1-1-1-11111000000000000000000
χ594444-4-4-4-444-21-2-2-222222222-2-2-2111-20000000000000000-1-1-1-111000000000000000000000000002-2-22-111-10000
χ604444-4-4-4-444-21-2-2-222222222-2-2-2111-20000000000000000-1-1-1-11100000000000000000000000000-222-21-1-110000
χ6144-4-4004-4001-21-1-13-33-311-1-13-33-222-322-2-222-2-222-2-222-2-200-22000000-1-111-1-111-1-111-1-111000000000000000000
χ6244-4-4004-4001-21-1-13-33-311-1-13-33-222-3-2-222-2-222-2-222-2-22200-2200000011-1-111-1-111-1-111-1-1000000000000000000
χ6344-4-4004-4001-21-1-1-33-3311-1-1-33-3-22232i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00-22000000−i−iiiii−i−i−i−iiiii−i−i000000000000000000
χ6444-4-4004-4001-21-1-1-33-3311-1-1-33-3-2223−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00-22000000ii−i−i−i−iiiii−i−i−i−iii000000000000000000
χ6544-4-400-44001-21-1-13-33-3-1-111-33-3-22232i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i002-2000000−i−iii−i−iiiii−i−iii−i−i000000000000000000
χ6644-4-400-44001-21-1-13-33-3-1-111-33-3-2223−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i002-2000000ii−i−iii−i−i−i−iii−i−iii000000000000000000
χ6744-4-400-44001-21-1-1-33-33-1-1113-33-222-322-2-2-2-222-2-22222-2-2002-2000000-1-11111-1-111-1-1-1-111000000000000000000
χ6844-4-400-44001-21-1-1-33-33-1-1113-33-222-3-2-22222-2-222-2-2-2-222002-200000011-1-1-1-111-1-11111-1-1000000000000000000
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χ704-44-44-400001-2-11-111-1-13-33-33-3-32-223−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i-2200000000i−ii−ii−ii−i−ii−ii−ii−ii000000000000000000
χ714-44-44-400001-2-11-111-1-1-33-33-3332-22-32-22-22-22-22-22-22-22-2-2200000000-11-11-11-11-11-11-11-11000000000000000000
χ724-44-44-400001-2-11-111-1-1-33-33-3332-22-3-22-22-22-22-22-22-22-22-22000000001-11-11-11-11-11-11-11-1000000000000000000
χ734-44-4-4400001-2-11-1-1-1113-33-3-3332-22-32-22-2-22-22-22-222-22-22-200000000-11-111-11-11-11-1-11-11000000000000000000
χ744-44-4-4400001-2-11-1-1-1113-33-3-3332-22-3-22-222-22-22-22-2-22-222-2000000001-11-1-11-11-11-111-11-1000000000000000000
χ754-44-4-4400001-2-11-1-1-111-33-333-3-32-2232i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2-200000000−ii−iii−ii−i−ii−iii−ii−i000000000000000000
χ764-44-4-4400001-2-11-1-1-111-33-333-3-32-223−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i2-200000000i−ii−i−ii−iii−ii−i−ii−ii000000000000000000
χ774-4-4400004-41-2-1-113-3-333-3-3311-122-2-12i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000-220000−iii−i−iii−ii−i−iii−i−ii000000000000000000
χ784-4-4400004-41-2-1-113-3-333-3-3311-122-2-1−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i0000-220000i−i−iii−i−ii−iii−i−iii−i000000000000000000
χ794-4-4400004-41-2-1-11-333-3-333-311-122-2-12i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000-220000−iii−ii−i−ii−iii−ii−i−ii000000000000000000
χ804-4-4400004-41-2-1-11-333-3-333-311-122-2-1−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000-220000i−i−ii−iii−ii−i−ii−iii−i000000000000000000
χ814-4-440000-441-2-1-113-3-33-333-3-1-1122-212-2-222-2-222-2-222-2-2200002-20000-111-1-111-1-111-1-111-1000000000000000000
χ824-4-440000-441-2-1-113-3-33-333-3-1-1122-21-222-2-222-2-222-2-222-200002-200001-1-111-1-111-1-111-1-11000000000000000000
χ834-4-440000-441-2-1-11-333-33-3-33-1-1122-212-2-22-222-2-222-22-2-2200002-20000-111-11-1-111-1-11-111-1000000000000000000
χ844-4-440000-441-2-1-11-333-33-3-33-1-1122-21-222-22-2-222-2-22-222-200002-200001-1-11-111-1-111-11-1-11000000000000000000
χ8588-8-8008-800-42-4440000-4-4440002-2-200000000000000000002-20000000000000000000000000000000000000000
χ8688-8-800-8800-42-444000044-4-40002-2-20000000000000000000-220000000000000000000000000000000000000000
χ878-88-88-80000-424-44-4-4440000000-22-2000000000000000002-2000000000000000000000000000000000000000000
χ888-88-8-880000-424-4444-4-40000000-22-200000000000000000-22000000000000000000000000000000000000000000
χ898-8-8800008-8-4244-400000000-4-44-2-224000000000000000000002-200000000000000000000000000000000000000
χ908-8-880000-88-4244-40000000044-4-2-22-400000000000000000000-2200000000000000000000000000000000000000

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