Finite Group Databasebeta

← Group #11884658

Character table — Group #11884658

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444466888888888888888888888812121212121212121212121212121224242424242424242424242436364848727272
order1222334466666612121212344666881212121212121212242424244481212121212121224242424242424242424242424242244466881212242424244446812121212122424221212244
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
χ5111111111111111111111111-1-111111111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11-1-11-111111-1-1-1-1-1-11-11
χ6111111111111111111111111-1-111111111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1111-11-1-1-1-1-1-11111-11-1
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-11-111111111-1-1-11-1
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-11-1-1-1-1-111-1-1111-11
χ91111111111111111111-1-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111111111111-11-1-1-1-1-1-111-1-1111-11-1-1
χ101111111111111111111-1-111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-1-11-111
χ111111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-11-1-111
χ121111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-11111-111-1-1
χ131111111111111111111-1-1111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-11-11-1-1-11111-1-1-1111-1
χ141111111111111111111-1-1111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-111-1-11-111-1-111111-1-1-11
χ151111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11111-1-111-1-11111-1-111-11-1-111-1-111-11-1-11
χ161111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-111-1-1111111-11-1111-1-1-1-1-1-11-111-1
χ17222222-2-2222222-2-2-2-222-22220022-2-2-2-2-2-200002202-2-222-2-200000000000000-22-200-2-20022000000020-20000000000000
χ18222222-2-2222222-2-2-2-222-22220022-2-2-2-2-2-20000-2-202-2-222-2-2000000000000002-22002200-2-20000000-2020000000000000
χ19222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-20000220-222-2-22200000000000000-2-2200-2-200220000000-2020000000000000
χ20222222-2-2222222-2-2-2-22-2222200-2-2-2-2-2-2-2-20000-2-20-222-2-2220000000000000022-2002200-2-2000000020-20000000000000
χ2122222-1222-1-12-12-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122200-1-122-1-1-1-1-1-1000-12-10000-1-10000000
χ2222222-1222-1-12-12-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-22-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-20011-2-21111110001-210000110000000
χ2322222-1222-1-12-12-1-1-1-1-122-1-1-1-2-2222-1-12-1-1111122-2-1-12-1-1-1-111-2-21111-2-2111122200-1-1-2-2-1-11111000-1-2-10000110000000
χ2422222-1222-1-12-12-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-1-12-1-1-1-111-2-21111-2-21111-2-2-200112211-1-1-1-10001210000-1-10000000
χ2522222-1222-1-12-12-1-1-1-1-1-2-2-1-1-122-2-22-1-12-1-1-1-1-1-122-211-211111122-1-1-1-1-2-211112-2-200-1-122-1-1-1-1-1-10001-210000110000000
χ2622222-1222-1-12-12-1-1-1-1-1-2-2-1-1-122-2-22-1-12-1-1-1-1-1-1-2-2-211-211111122-1-1-1-1-2-21111-2220011-2-2111111000-12-10000-1-10000000
χ2722222-1222-1-12-12-1-1-1-1-1-2-2-1-1-1-2-2-2-22-1-12-1-1111122211-21111-1-1-2-2111122-1-1-1-12-2-200-1-1-2-2-1-111110001210000-1-10000000
χ2822222-1222-1-12-12-1-1-1-1-1-2-2-1-1-1-2-2-2-22-1-12-1-11111-2-2211-21111-1-1-2-2111122-1-1-1-1-22200112211-1-1-1-1000-1-2-10000110000000
χ2922222-1-2-22-1-12-121111-12-2-1-1-10022-211-21133−3−3220-11-2-1-1113−30033−3−30033−3−3-22-2001100-1-133−3−3000-10100003−30000000
χ3022222-1-2-22-1-12-121111-12-2-1-1-10022-211-21133−3−3-2-20-11-2-1-1113−30033−3−30033−3−32-2200-1-10011−3−33300010-10000−330000000
χ3122222-1-2-22-1-12-121111-12-2-1-1-10022-211-211−3−333220-11-2-1-111−3300−3−33300−3−333-22-2001100-1-1−3−333000-1010000−330000000
χ3222222-1-2-22-1-12-121111-12-2-1-1-10022-211-211−3−333-2-20-11-2-1-111−3300−3−33300−3−3332-2200-1-1001133−3−300010-100003−30000000
χ3322222-1-2-22-1-12-121111-1-22-1-1-100-2-2-211-21133−3−32201-1211-1-1−330033−3−300−3−333-2-22001100-1-133−3−300010-10000−330000000
χ3422222-1-2-22-1-12-121111-1-22-1-1-100-2-2-211-21133−3−3-2-201-1211-1-1−330033−3−300−3−33322-200-1-10011−3−333000-10100003−30000000
χ3522222-1-2-22-1-12-121111-1-22-1-1-100-2-2-211-211−3−3332201-1211-1-13−300−3−3330033−3−3-2-22001100-1-1−3−33300010-100003−30000000
χ3622222-1-2-22-1-12-121111-1-22-1-1-100-2-2-211-211−3−333-2-201-1211-1-13−300−3−3330033−3−322-200-1-1001133−3−3000-1010000−330000000
χ372222-1222-122-12-12222-122-1-1-122-1-1-1-1-1-1-1-1222200222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000220000000000222000-1-1-1-10000-1-1000
χ382222-1222-122-12-12222-122-1-1-122-1-1-1-1-1-1-1-1222200222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000000000-2-2-20001111000011000
χ392222-1222-122-12-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-200-222-1-1-1-1-1-2-21111111111110002200000000002-2-2000-1-1-1-1000011000
χ402222-1222-122-12-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-200-222-1-1-1-1-1-2-2111111111111000-2-20000000000-22200011110000-1-1000
χ412222-1222-122-12-12222-1-2-2-1-1-12211-1-1-1-1-1-1222200-2-2-211111-2-2-1-1-1-1-1-1111111000220000000000-22-200011-1-10000-11000
χ422222-1222-122-12-12222-1-2-2-1-1-12211-1-1-1-1-1-1222200-2-2-211111-2-2-1-1-1-1-1-1111111000-2-200000000002-22000-1-11100001-1000
χ432222-1222-122-12-12222-1-2-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-2002-2-21111122111111-1-1-1-1-1-1000220000000000-2-2200011-1-100001-1000
χ442222-1222-122-12-12222-1-2-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-2002-2-21111122111111-1-1-1-1-1-1000-2-2000000000022-2000-1-1110000-11000
χ452-2-2222-22-2-2-2-222-2-2222002-2-20000-2-2-222200000000000000000000000000000002-2002-2002-22-2000000002-2002-200000
χ462-2-2222-22-2-2-2-222-2-2222002-2-20000-2-2-222200000000000000000000000000000002-200-2200-22-22000000002-200-2200000
χ472-2-2222-22-2-2-2-222-2-2222002-2-20000-2-2-22220000000000000000000000000000000-22002-2002-22-200000000-2200-2200000
χ482-2-2222-22-2-2-2-222-2-2222002-2-20000-2-2-22220000000000000000000000000000000-2200-2200-22-2200000000-22002-200000
χ494444-24-4-4-244-24-2-4-4-4-4-24-4-2-2-200-2-222222200000004-42-2-222000000000000000000000000000000000000000000000000
χ504444-24-4-4-244-24-2-4-4-4-4-2-44-2-2-200222222220000000-44-222-2-2000000000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-2-2-2-214411144-2-2-211-211-2-2-2-2004-2-2-21111-2-2-2-21111-2-211110000000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-2-2-2-2144111-4-4-2-2-211-211222200-4-2-2-211112222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-2-2-2-21-4-41114422-211-211-2-2-2-200-4222-1-1-1-122-2-2111122-1-1-1-10000000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-422-211-2112222004222-1-1-1-1-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2222214-411100-2-22-1-12-1-12323−23−23000-22211-1-123−2300−3−33300−3−3330000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222214-411100-2-22-1-12-1-1−23−232323000-22211-1-1−23230033−3−30033−3−30000000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-222221-4411100222-1-12-1-12323−23−230002-2-2-1-111−232300−3−3330033−3−30000000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-222221-4411100222-1-12-1-1−23−2323230002-2-2-1-11123−230033−3−300−3−3330000000000000000000000000000000000
χ5944-4-4440044-4-4-4-40000400-44-422−220000000022−2222−2200000000000022−2222−2222−220000000000000000000000000000000000000000
χ6044-4-4440044-4-4-4-40000400-44-4−222200000000−2222−2222000000000000−2222−2222−22220000000000000000000000000000000000000000
χ6144-4-44-2004-22-42-423−2323−23-2002-2222−2200023−23023−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000
χ6244-4-44-2004-22-42-423−2323−23-2002-22−222200023−23023−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000
χ6344-4-44-2004-22-42-4−2323−2323-2002-2222−22000−23230−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000
χ6444-4-44-2004-22-42-4−2323−2323-2002-22−2222000−23230−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000
χ6544-4-4-2400-24-42-420000-2002-2222−22−2i32i300000022−2222−22000000−2i32i30000−22−22−22i6−i6i6−i6i6−i60000000000000000000000000000000000
χ6644-4-4-2400-24-42-420000-2002-2222−222i3−2i300000022−2222−220000002i3−2i30000−22−22−22−i6i6−i6i6−i6i60000000000000000000000000000000000
χ6744-4-4-2400-24-42-420000-2002-22−2222−2i32i3000000−2222−2222000000−2i32i300002−22−22−2−i6i6−i6i6−i6i60000000000000000000000000000000000
χ6844-4-4-2400-24-42-420000-2002-22−22222i3−2i3000000−2222−22220000002i3−2i300002−22−22−2i6−i6i6−i6i6−i60000000000000000000000000000000000
χ6944-4-4-2-200-2-2222223−2323−23100-11-122−22−2i32i30−330−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000i3−i33i−3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ7044-4-4-2-200-2-2222223−2323−23100-11-122−222i3−2i30−330−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000−i3i3−3i3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ7144-4-4-2-200-2-2222223−2323−23100-11-1−2222−2i32i30−330−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000i3−i33i−3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ7244-4-4-2-200-2-2222223−2323−23100-11-1−22222i3−2i30−330−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000−i3i3−3i3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ7344-4-4-2-200-2-22222−2323−2323100-11-122−22−2i32i303−303−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000i3−i3−3i3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ7444-4-4-2-200-2-22222−2323−2323100-11-122−222i3−2i303−303−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000−i3i33i−3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ7544-4-4-2-200-2-22222−2323−2323100-11-1−2222−2i32i303−303−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000i3−i3−3i3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ7644-4-4-2-200-2-22222−2323−2323100-11-1−22222i3−2i303−303−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000−i3i33i−3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ774-44-44400-4-444-4-40000400-4-44000000000000004i−4i00000000000000000000000000000004i−4i00000000000000000000000
χ784-44-44400-4-444-4-40000400-4-4400000000000000−4i4i0000000000000000000000000000000−4i4i00000000000000000000000
χ794-44-44-200-42-242-423−23−2323-20022-20000023−230−232300004i−4i000000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ804-44-44-200-42-242-423−23−2323-20022-20000023−230−23230000−4i4i0000000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ814-44-44-200-42-242-4−232323−23-20022-200000−2323023−2300004i−4i0000000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ824-44-44-200-42-242-4−232323−23-20022-200000−2323023−230000−4i4i000000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ834-4-44444-4-4-4-4-44444-4-44004-4-40000444-4-4-400000000000000000000000000000000000000000000000000000000000000
χ844-4-444-24-4-422-4-24-2-222-200-22200004-2-2-42200000000000000000000000000000000000000023−23−23230000000000000000000
χ854-4-444-24-4-422-4-24-2-222-200-22200004-2-2-422000000000000000000000000000000000000000−232323−230000000000000000000
χ864-4-444-2-44-422-4-2422-2-2-200-2220000-4224-2-2000000000000000000000000000000000004-400-22-220000000000000000000
χ874-4-444-2-44-422-4-2422-2-2-200-2220000-4224-2-200000000000000000000000000000000000-44002-22-20000000000000000000
χ884-4-44-244-42-4-424-244-4-4-200-2220000-2-2-2222000000000000000000000000000000000000000000000000023−2300000000000
χ894-4-44-244-42-4-424-244-4-4-200-2220000-2-2-22220000000000000000000000000000000000000000000000000−232300000000000
χ904-4-44-24-442-4-424-2-4-444-200-2220000222-2-2-200000000000000000000000000000004-4000000000000000000-22000000000
χ914-4-44-24-442-4-424-2-4-444-200-2220000222-2-2-20000000000000000000000000000000-440000000000000000002-2000000000
χ928-88-8-48004-88-4-840000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40044-4-44443−43−4343200-2-2200000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-40044-4-444−434343−43200-2-220000023−230−232300000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-84444-4-4-4-4442002-2-20000-4224-2-200000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-884444-4-444-4-42002-2-200004-2-2-42200000000000000000000000000000000000000000000000000000000000000

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