Finite Group Databasebeta

← Group #11884036

Character table — Group #11884036

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444466888888888888888888888812121212121212121212121212121224242424242424242424242436364848727272
order12223344666666121212122346666688121212121212242424242266681212121224242424242424242424242424242244466881212242424242446666812122424441212224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111111111111-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11-1-11111-111-1-1-1-1-1-11-11
χ611111111111111111111111111-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-111-1-1-1-1-111-1-11111-11-1
χ711111111111111111111111111-1-1111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111-1-111111-1-11111-1-1-11-1
χ811111111111111111111111111-1-1111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-11-1-111-1-1111-11
χ9111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111111-1-1111-1-1-1-1-1-1-111-111-1-1
χ10111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-111-1-1-1-1-1-1-11-1-111
χ11111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-11-111
χ12111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111-11-1-1
χ13111111111111111111-11-1-1-1111-1-1111111-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1111-1-111-1-1-1-1-11-111-1-11-1-111-1-11-111-1
χ14111111111111111111-11-1-1-1111-1-1111111-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-11-11-1-1111-1-11111-11-1-11
χ15111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111111111-1-1-111-1-11111-11-111-1-1-111-1-1111-1-1-11
χ16111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-111-1-111111-11-1-111-111-1-1-1-1-1111-1
χ17222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-20000222220-2-2-2-20000000000000000-22-22200-2-20000000000002-2000000000
χ18222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-20000-2-22220-2-2-2-200000000000000002-22-2-20022000000000000-22000000000
χ19222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-2000022-2-2-20222200000000000000002-2-22200-2-2000000000000-22000000000
χ20222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-20000-2-2-2-2-2022220000000000000000-222-2-200220000000000002-2000000000
χ2122222-122-1222-1-122222-12-1-1-1-1-122-1-1-1-1-1-12222002-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1220000000000000222-1-1-1-10000000-1-1000
χ2222222-122-1222-1-122222-12-1-1-1-1-122-1-1-1-1-1-12222002-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000-2-2-21111000000011000
χ2322222-122-1222-1-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-1-1-22-1-1-1-2-21111111111112200000000000002-2-2-1-1-1-1000000011000
χ2422222-122-1222-1-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-1-1-22-1-1-1-2-2111111111111-2-20000000000000-22211110000000-1-1000
χ2522222-122-1222-1-12222-2-1-211-1-1-122-1-1-1-1-1-1222200-211-2-2111-2-2-1-1-1-1-1-1111111220000000000000-2-22-1-11100000001-1000
χ2622222-122-1222-1-12222-2-1-211-1-1-122-1-1-1-1-1-1222200-211-2-2111-2-2-1-1-1-1-1-1111111-2-2000000000000022-211-1-10000000-11000
χ2722222-122-1222-1-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-2112-211122111111-1-1-1-1-1-1220000000000000-22-2-1-1110000000-11000
χ2822222-122-1222-1-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-2112-211122111111-1-1-1-1-1-1-2-200000000000002-2211-1-100000001-1000
χ292222-12222-1-1-122-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-122-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-100222-1-122-1-1-1-1-1-100000002-1-1-1-10000000
χ302222-12222-1-1-122-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-100-2-2-211-2-21111110000000-211110000000
χ312222-12222-1-1-122-1-1-1-12-1222-1-1-1-2-222-1-1-1-1111122-1-1-1-2-12-1-111-2-21111-2-2111100222-1-1-2-2-1-111110000000-2-1-1110000000
χ322222-12222-1-1-122-1-1-1-12-1222-1-1-1-2-222-1-1-1-11111-2-2-1-1-1-2-12-1-111-2-21111-2-2111100-2-2-2112211-1-1-1-10000000211-1-10000000
χ332222-12222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-122111-21-2111122-1-1-1-1-2-2111100-2-22-1-122-1-1-1-1-1-10000000-211110000000
χ342222-12222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-2111-21-2111122-1-1-1-1-2-211110022-211-2-211111100000002-1-1-1-10000000
χ352222-12222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-111112211121-211-1-1-2-2111122-1-1-1-100-2-22-1-1-2-2-1-111110000000211-1-10000000
χ362222-12222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-11111-2-211121-211-1-1-2-2111122-1-1-1-10022-2112211-1-1-1-10000000-2-1-1110000000
χ372222-12-2-22-1-1-12211112-1-222-1-1-100-2-2111133−3−322-1-1-101-2113−30033−3−30033−3−300-22-2-1-1001133−3−300000000-113−30000000
χ382222-12-2-22-1-1-12211112-1-222-1-1-100-2-2111133−3−3-2-2-1-1-101-2113−30033−3−30033−3−3002-221100-1-1−3−333000000001-1−330000000
χ392222-12-2-22-1-1-12211112-1-222-1-1-100-2-21111−3−33322-1-1-101-211−3300−3−33300−3−33300-22-2-1-10011−3−33300000000-11−330000000
χ402222-12-2-22-1-1-12211112-1-222-1-1-100-2-21111−3−333-2-2-1-1-101-211−3300−3−33300−3−333002-221100-1-133−3−3000000001-13−30000000
χ412222-12-2-22-1-1-1221111-2-12-2-2-1-1-100-2-2111133−3−3221110-12-1-1−330033−3−300−3−333002-2-2-1-1001133−3−3000000001-1−330000000
χ422222-12-2-22-1-1-1221111-2-12-2-2-1-1-100-2-2111133−3−3-2-21110-12-1-1−330033−3−300−3−33300-2221100-1-1−3−33300000000-113−30000000
χ432222-12-2-22-1-1-1221111-2-12-2-2-1-1-100-2-21111−3−333221110-12-1-13−300−3−3330033−3−3002-2-2-1-10011−3−333000000001-13−30000000
χ442222-12-2-22-1-1-1221111-2-12-2-2-1-1-100-2-21111−3−333-2-21110-12-1-13−300−3−3330033−3−300-2221100-1-133−3−300000000-11−330000000
χ452-2-2222-22-2-2-22-22-2-22202000-2-22002-222-2-200000000000000000000000000002-2000002-2002-22-20002-200000002-200000
χ462-2-2222-22-2-2-22-22-2-22202000-2-22002-222-2-200000000000000000000000000002-200000-2200-22-220002-20000000-2200000
χ472-2-2222-22-2-2-22-22-2-22202000-2-22002-222-2-20000000000000000000000000000-22000002-2002-22-2000-220000000-2200000
χ482-2-2222-22-2-2-22-22-2-22202000-2-22002-222-2-20000000000000000000000000000-2200000-2200-22-22000-2200000002-200000
χ4944444-2-4-4-2444-2-2-4-4-4-44-2-4-2-2-2-2-2002222220000004-2-20-4222000000000000000000000000000000000000000000000000
χ5044444-2-4-4-2444-2-2-4-4-4-4-4-2422-2-2-200222222000000-42204-2-2-2000000000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-2-2-2-2414-2-211144-2-21111-2-2-2-200-2114-2-211-2-2-2-21111-2-211110000000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-2-2-2-2414-2-2111-4-4-2-21111222200-211-4-2-2112222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-2-2-2-2-41-42211144-2-21111-2-2-2-2002-1-1-422-1-122-2-2111122-1-1-1-10000000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-2-41-422111-4-4-2-211112222002-1-1422-1-1-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2222241-4-2-21110022-1-1-1-12323−23−2300-211022-1-123−2300−3−33300−3−3330000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222241-4-2-21110022-1-1-1-1−23−23232300-211022-1-1−23230033−3−30033−3−30000000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-22222-414221110022-1-1-1-12323−23−23002-1-10-2-211−232300−3−3330033−3−30000000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-22222-414221110022-1-1-1-1−23−232323002-1-10-2-21123−230033−3−300−3−3330000000000000000000000000000000000
χ5944-4-4440044-4-4-4-40000040004-4-4−2i22i2000000−2i22i2−2i22i2000000000000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ6044-4-4440044-4-4-4-40000040004-4-42i2−2i20000002i2−2i22i2−2i20000000000002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ6144-4-44-200-24-4-42200000-20−2i32i3-222−2i22i2000000−2i22i2−2i22i2000−2i32i30000000i2−i2i2−i2i2−i26−66−66−60000000000000000000000000000000000
χ6244-4-44-200-24-4-42200000-20−2i32i3-2222i2−2i20000002i2−2i22i2−2i2000−2i32i30000000−i2i2−i2i2−i2i2−66−66−660000000000000000000000000000000000
χ6344-4-44-200-24-4-42200000-202i3−2i3-222−2i22i2000000−2i22i2−2i22i20002i3−2i30000000i2−i2i2−i2i2−i2−66−66−660000000000000000000000000000000000
χ6444-4-44-200-24-4-42200000-202i3−2i3-2222i2−2i20000002i2−2i22i2−2i20002i3−2i30000000−i2i2−i2i2−i2i26−66−66−60000000000000000000000000000000000
χ6544-4-4-24004-222-4-423−2323−230-2000-222−2i22i20023−2323−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000
χ6644-4-4-24004-222-4-423−2323−230-2000-2222i2−2i20023−2323−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000
χ6744-4-4-24004-222-4-4−2323−23230-2000-222−2i22i200−2323−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000
χ6844-4-4-24004-222-4-4−2323−23230-2000-2222i2−2i200−2323−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000
χ6944-4-4-2-200-2-2222223−2323−23010−2i32i31-1-1−2i22i200−33−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000i3−i30003i−3i00i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000000000000000
χ7044-4-4-2-200-2-2222223−2323−23010−2i32i31-1-12i2−2i200−33−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000i3−i30003i−3i00−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000000000000000
χ7144-4-4-2-200-2-2222223−2323−230102i3−2i31-1-1−2i22i200−33−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000−i3i3000−3i3i00i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000000000000000
χ7244-4-4-2-200-2-2222223−2323−230102i3−2i31-1-12i2−2i200−33−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000−i3i3000−3i3i00−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000000000000000
χ7344-4-4-2-200-2-22222−2323−2323010−2i32i31-1-1−2i22i2003−33−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000i3−i3000−3i3i00i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ76−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000000000000000
χ7444-4-4-2-200-2-22222−2323−2323010−2i32i31-1-12i2−2i2003−33−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000i3−i3000−3i3i00−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ230000000000000000000000000000000000
χ7544-4-4-2-200-2-22222−2323−23230102i3−2i31-1-1−2i22i2003−33−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000−i3i30003i−3i00i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ230000000000000000000000000000000000
χ7644-4-4-2-200-2-22222−2323−23230102i3−2i31-1-12i2−2i2003−33−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000−i3i30003i−3i00−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ76−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000000000000000
χ774-44-44400-4-44-44-4000004000-44-40000000000004-40000000000000000000000000004-4000000000000000000000000000
χ784-44-44400-4-44-44-4000004000-44-4000000000000-44000000000000000000000000000-44000000000000000000000000000
χ794-44-4-2400-42-224-423−23−23230-20002-220000−232323−2300004-4000000000000000000000000000-220023−2300000000000000000000000
χ804-44-4-2400-42-224-423−23−23230-20002-220000−232323−230000-440000000000000000000000000002-200−232300000000000000000000000
χ814-44-4-2400-42-224-4−232323−230-20002-22000023−23−232300004-4000000000000000000000000000-2200−232300000000000000000000000
χ824-44-4-2400-42-224-4−232323−230-20002-22000023−23−23230000-440000000000000000000000000002-20023−2300000000000000000000000
χ834-4-44444-4-4-4-44-4444-4-404000-4-4400-44-4-44400000000000000000000000000000000000000000000000000000000000000
χ844-4-444-24-42-4-442-244-4-40-200022-2002-222-2-2000000000000000000000000000000000000000000000000−2i32i3000000000000
χ854-4-444-24-42-4-442-244-4-40-200022-2002-222-2-20000000000000000000000000000000000000000000000002i3−2i3000000000000
χ864-4-444-2-442-4-442-2-4-4440-200022-200-22-2-22200000000000000000000000000004-40000000000000000-2200000000000000
χ874-4-444-2-442-4-442-2-4-4440-200022-200-22-2-2220000000000000000000000000000-4400000000000000002-200000000000000
χ884-4-44-244-4-422-2-44-2-2220-200022-200-4422-2-200000000000000000000000000000000000000023−23−23230000000000000000000
χ894-4-44-244-4-422-2-44-2-2220-200022-200-4422-2-2000000000000000000000000000000000000000−232323−230000000000000000000
χ904-4-44-24-44-422-2-4422-2-20-200022-2004-4-2-222000000000000000000000000000000000004-400-22-220000000000000000000
χ914-4-44-24-44-422-2-4422-2-20-200022-2004-4-2-22200000000000000000000000000000000000-44002-22-20000000000000000000
χ928-88-88-4004-88-8-4400000-40004-440000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40044-44-4443−43−434302000-22-2000023−23−232300000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-40044-44-44−434343−4302000-22-20000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-8444-44-4-4-44402000-2-22004-4-2-22200000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-88444-44-444-4-402000-2-2200-4422-2-200000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.