Finite Group Databasebeta

← Group #11884655

Character table — Group #11884655

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444466888888888888888888888812121212121212121212121212121224242424242424242424242436364848727272
order122233446666661212121223466666881212121212122424242444666812121212242424242424242424242424242424444668812122424242444481212121212122424221212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1111-1-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-1-1
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
χ511111111111111111111111111-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-11-1-1111111-1-1-1-1-1-111-1
χ611111111111111111111111111-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11-11-111-1-1-1-1-1-11111-1-11
χ711111111111111111111111111-1-1111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11-1-111111111-1-1-1-11
χ811111111111111111111111111-1-1111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-1-1-111-1-11111-1
χ9111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111111111111-1-11-1-1-111-1-1-1-111-111-1-1
χ10111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11-1-111
χ11111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11-111
χ12111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-11111111-11-1-1
χ13111111111111111111-11-1-1-1111-1-1111111-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-11-1-11-1-111-1-111-1-11-11-11
χ14111111111111111111-11-1-1-1111-1-1111111-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1111-1-1-1-1111111-11-11-1
χ15111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-11111-1-111-1-111111-1-1-11111-1-1-1-1111-1-11-1
χ16111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-111-1-11111-111-111-1-111-1-1-1-1-111-11
χ17222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-20000222220-2-2-2-200000000000000-22-200-2-20022000000002-20000000000000
χ18222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-20000-2-22220-2-2-2-2000000000000002-22002200-2-200000000-220000000000000
χ19222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-2000022-2-2-20222200000000000000-2-2200-2-2002200000000-220000000000000
χ20222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-20000-2-2-2-2-2022220000000000000022-2002200-2-2000000002-20000000000000
χ2122222-1222-1-1-122-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-122-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-122200-1-122-1-1-1-1-1-10002-1-10000-1-10000000
χ2222222-1222-1-1-122-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1-2-2-20011-2-2111111000-2110000110000000
χ2322222-1222-1-1-122-1-1-1-12-1222-1-1-1-2-222-1-1-1-1111122-1-1-1-2-12-1-111-2-21111-2-2111122200-1-1-2-2-1-11111000-2-1-10000110000000
χ2422222-1222-1-1-122-1-1-1-12-1222-1-1-1-2-222-1-1-1-11111-2-2-1-1-1-2-12-1-111-2-21111-2-21111-2-2-200112211-1-1-1-10002110000-1-10000000
χ2522222-1222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-122111-21-2111122-1-1-1-1-2-211112-2-200-1-122-1-1-1-1-1-1000-2110000110000000
χ2622222-1222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-2111-21-2111122-1-1-1-1-2-21111-2220011-2-21111110002-1-10000-1-10000000
χ2722222-1222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-111112211121-211-1-1-2-2111122-1-1-1-12-2-200-1-1-2-2-1-111110002110000-1-10000000
χ2822222-1222-1-1-122-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-11111-2-211121-211-1-1-2-2111122-1-1-1-1-22200112211-1-1-1-1000-2-1-10000110000000
χ2922222-1-2-22-1-1-12211112-1-222-1-1-100-2-2111133−3−322-1-1-101-2113−30033−3−30033−3−3-22-2001100-1-133−3−30000-1100003−30000000
χ3022222-1-2-22-1-1-12211112-1-222-1-1-100-2-2111133−3−3-2-2-1-1-101-2113−30033−3−30033−3−32-2200-1-10011−3−33300001-10000−330000000
χ3122222-1-2-22-1-1-12211112-1-222-1-1-100-2-21111−3−33322-1-1-101-211−3300−3−33300−3−333-22-2001100-1-1−3−3330000-110000−330000000
χ3222222-1-2-22-1-1-12211112-1-222-1-1-100-2-21111−3−333-2-2-1-1-101-211−3300−3−33300−3−3332-2200-1-1001133−3−300001-100003−30000000
χ3322222-1-2-22-1-1-1221111-2-12-2-2-1-1-100-2-2111133−3−3221110-12-1-1−330033−3−300−3−333-2-22001100-1-133−3−300001-10000−330000000
χ3422222-1-2-22-1-1-1221111-2-12-2-2-1-1-100-2-2111133−3−3-2-21110-12-1-1−330033−3−300−3−33322-200-1-10011−3−3330000-1100003−30000000
χ3522222-1-2-22-1-1-1221111-2-12-2-2-1-1-100-2-21111−3−333221110-12-1-13−300−3−3330033−3−3-2-22001100-1-1−3−33300001-100003−30000000
χ3622222-1-2-22-1-1-1221111-2-12-2-2-1-1-100-2-21111−3−333-2-21110-12-1-13−300−3−3330033−3−322-200-1-1001133−3−30000-110000−330000000
χ372222-1222-1222-1-122222-12-1-1-1-1-122-1-1-1-1-1-12222002-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000220000000000222000-1-1-1-10000-1-1000
χ382222-1222-1222-1-122222-12-1-1-1-1-122-1-1-1-1-1-12222002-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000000000-2-2-20001111000011000
χ392222-1222-1222-1-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-1-1-22-1-1-1-2-2111111111111000220000000000-22-2000-1-1-1-1000011000
χ402222-1222-1222-1-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-1-1-22-1-1-1-2-2111111111111000-2-200000000002-2200011110000-1-1000
χ412222-1222-1222-1-12222-2-1-211-1-1-122-1-1-1-1-1-1222200-211-2-2111-2-2-1-1-1-1-1-1111111000220000000000-2-22000-1-11100001-1000
χ422222-1222-1222-1-12222-2-1-211-1-1-122-1-1-1-1-1-1222200-211-2-2111-2-2-1-1-1-1-1-1111111000-2-2000000000022-200011-1-10000-11000
χ432222-1222-1222-1-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-2112-211122111111-1-1-1-1-1-10002200000000002-2-2000-1-1110000-11000
χ442222-1222-1222-1-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-2112-211122111111-1-1-1-1-1-1000-2-20000000000-22200011-1-100001-1000
χ452-2-2222-22-2-2-22-22-2-22202000-2-22002-222-2-200000000000000000000000000000002-2002-2002-22-20000002-200002-200000
χ462-2-2222-22-2-2-22-22-2-22202000-2-22002-222-2-200000000000000000000000000000002-200-2200-22-220000002-20000-2200000
χ472-2-2222-22-2-2-22-22-2-22202000-2-22002-222-2-20000000000000000000000000000000-22002-2002-22-2000000-220000-2200000
χ482-2-2222-22-2-2-22-22-2-22202000-2-22002-222-2-20000000000000000000000000000000-2200-2200-22-22000000-2200002-200000
χ494444-24-4-4-2444-2-2-4-4-4-44-2-4-2-2-2-2-2002222220000004-2-20-4222000000000000000000000000000000000000000000000000
χ504444-24-4-4-2444-2-2-4-4-4-4-4-2422-2-2-200222222000000-42204-2-2-2000000000000000000000000000000000000000000000000
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
χ5944-4-4440044-4-4-4-40000040004-4-422−2200000022−2222−2200000000000022−2222−2222−220000000000000000000000000000000000000000
χ6044-4-4440044-4-4-4-40000040004-4-4−2222000000−2222−2222000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6144-4-44-2004-222-4-423−2323−230-2000-22222−220023−2323−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000
χ6244-4-44-2004-222-4-423−2323−230-2000-222−22220023−2323−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000
χ6344-4-44-2004-222-4-4−2323−23230-2000-22222−2200−2323−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000
χ6444-4-44-2004-222-4-4−2323−23230-2000-222−222200−2323−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000
χ6544-4-4-2400-24-4-42200000-20−2i32i3-22222−2200000022−2222−22000−2i32i30000000−22−22−22i6−i6i6−i6i6−i60000000000000000000000000000000000
χ6644-4-4-2400-24-4-42200000-20−2i32i3-222−2222000000−2222−2222000−2i32i300000002−22−22−2−i6i6−i6i6−i6i60000000000000000000000000000000000
χ6744-4-4-2400-24-4-42200000-202i3−2i3-22222−2200000022−2222−220002i3−2i30000000−22−22−22−i6i6−i6i6−i6i60000000000000000000000000000000000
χ6844-4-4-2400-24-4-42200000-202i3−2i3-222−2222000000−2222−22220002i3−2i300000002−22−22−2i6−i6i6−i6i6−i60000000000000000000000000000000000
χ6944-4-4-2-200-2-2222223−2323−23010−2i32i31-1-122−2200−33−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000i3−i30003i−3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ7044-4-4-2-200-2-2222223−2323−23010−2i32i31-1-1−222200−33−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000i3−i30003i−3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ7144-4-4-2-200-2-2222223−2323−230102i3−2i31-1-122−2200−33−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000−i3i3000−3i3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ7244-4-4-2-200-2-2222223−2323−230102i3−2i31-1-1−222200−33−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000−i3i3000−3i3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ7344-4-4-2-200-2-22222−2323−2323010−2i32i31-1-122−22003−33−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000i3−i3000−3i3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ7444-4-4-2-200-2-22222−2323−2323010−2i32i31-1-1−2222003−33−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000i3−i3000−3i3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ7544-4-4-2-200-2-22222−2323−23230102i3−2i31-1-122−22003−33−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000−i3i30003i−3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ7644-4-4-2-200-2-22222−2323−23230102i3−2i31-1-1−2222003−33−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000−i3i30003i−3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ774-44-44400-4-44-44-4000004000-44-40000000000004i−4i00000000000000000000000000000004i−4i00000000000000000000000
χ784-44-44400-4-44-44-4000004000-44-4000000000000−4i4i0000000000000000000000000000000−4i4i00000000000000000000000
χ794-44-44-200-42-224-423−23−23230-20002-220000−232323−2300004i−4i000000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ804-44-44-200-42-224-423−23−23230-20002-220000−232323−230000−4i4i0000000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ814-44-44-200-42-224-4−232323−230-20002-22000023−23−232300004i−4i0000000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ824-44-44-200-42-224-4−232323−230-20002-22000023−23−23230000−4i4i000000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ834-4-44444-4-4-4-44-4444-4-404000-4-4400-44-4-44400000000000000000000000000000000000000000000000000000000000000
χ844-4-444-24-4-422-2-44-2-2220-200022-200-4422-2-200000000000000000000000000000000000000023−23−23230000000000000000000
χ854-4-444-24-4-422-2-44-2-2220-200022-200-4422-2-2000000000000000000000000000000000000000−232323−230000000000000000000
χ864-4-444-2-44-422-2-4422-2-20-200022-2004-4-2-222000000000000000000000000000000000004-400-22-220000000000000000000
χ874-4-444-2-44-422-2-4422-2-20-200022-2004-4-2-22200000000000000000000000000000000000-44002-22-20000000000000000000
χ884-4-44-244-42-4-442-244-4-40-200022-2002-222-2-2000000000000000000000000000000000000000000000000000−2i32i3000000000
χ894-4-44-244-42-4-442-244-4-40-200022-2002-222-2-20000000000000000000000000000000000000000000000000002i3−2i3000000000
χ904-4-44-24-442-4-442-2-4-4440-200022-200-22-2-22200000000000000000000000000000004-40000000000000000-2200000000000
χ914-4-44-24-442-4-442-2-4-4440-200022-200-22-2-2220000000000000000000000000000000-4400000000000000002-200000000000
χ928-88-8-48004-88-8-4400000-40004-440000000000000000000000000000000000000000000000000000000000000000000000
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.