Finite Group Databasebeta

← Group #11864355

Character table — Group #11864355

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order1222334466666612121212234666881212121212121212242424242244666681212122424242424242424242424242424222444668812122424242444666812121224242222121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111-1-111111111-1-1-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111-1111-1-11111-1-1-1-1
χ6111111111111111111111111-1-111111111-1-1-1-111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-1111-1-1-11-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-1-1-1111-11111-1-1-1-1-1-111
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-11-1-1-111111111-1-1
χ9111111111111111111-11-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111111111-11-111-1-1-1-1-1-111-1-1-11-11
χ10111111111111111111-11-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1111-11-1
χ11111111111111111111-11-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-111-1
χ12111111111111111111-11-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-11-11-1-111111111-1-11-1-11
χ13111111111111111111-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1111111-111-1-1-111-1-111-1-1-1-11-1-1111-1-1-11111-1-11-11-1
χ14111111111111111111-11-1111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-11-1-1-11-11111-1-111-11-11
χ15111111111111111111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-111111-1111-11-1-1-1-1-1-1111-1-11
χ16111111111111111111-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111111-1-1111-1-111-1-11111-111-1-1-1111-1-111-1-1-111-1
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-2000022-2-222220-2-2-200000000000000-2002002200-2-2000000-20002000000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-20000-2-22222220-2-2-200000000000000200-200-2-200220000002000-2000000000000
χ19222222-2-2222222-2-2-2-2-2222220022-2-2-2-2-2-2000022-2-2-2-2-2-2022200000000000000200-2002200-2-20000002000-2000000000000
χ20222222-2-2222222-2-2-2-2-2222220022-2-2-2-2-2-20000-2-222-2-2-2-2022200000000000000-200200-2-20022000000-20002000000000000
χ2122222-12222-1-12-122222-12-1-1-122-1-1-1-1-1-1-1-1222200002-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10220220000000000220-1-100-1-1000000-1-100
χ2222222-12222-1-12-122222-12-1-1-122-1-1-1-1-1-1-1-1222200002-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000000000-2-201100110000001100
χ2322222-12222-1-12-122222-12-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-200002-1-1-1-22-1-1-2-21111111111110220220000000000-2-20-1-100-1-10000001100
χ2422222-12222-1-12-122222-12-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-200002-1-1-1-22-1-1-2-21111111111110-2-20-2-20000000000220110011000000-1-100
χ2522222-12222-1-12-12222-2-1-2-1-1-12211-1-1-1-1-1-122220000-2111-2-211-2-2-1-1-1-1-1-11111110220-2-20000000000-220-1-100110000001-100
χ2622222-12222-1-12-12222-2-1-2-1-1-12211-1-1-1-1-1-122220000-2111-2-211-2-2-1-1-1-1-1-11111110-2-202200000000002-201100-1-1000000-1100
χ2722222-12222-1-12-12222-2-1-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-20000-21112-21122111111-1-1-1-1-1-10220-2-200000000002-20-1-10011000000-1100
χ2822222-12222-1-12-12222-2-1-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-20000-21112-21122111111-1-1-1-1-1-10-2-20220000000000-2201100-1-10000001-100
χ292222-1222-1-122-12-1-1-1-12-12-1-1-1222222-1-1-1-1-1-1-1-12222-12-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1200200-1-122-1-1-1-1-1-100-1002-100-1-100000000
χ302222-1222-1-122-12-1-1-1-12-12-1-1-1222222-1-1-1-1-1-1-1-1-2-2-2-2-12-1-12-1-1-1-1-122-1-1-1-122-1-1-1-1-200-20011-2-211111100100-21001100000000
χ312222-1222-1-122-12-1-1-1-12-12-1-1-1-2-22222-1-1-1-111112222-12-1-1-2-1-1-111-2-21111-2-21111200200-1-1-2-2-1-1111100-100-2-1001100000000
χ322222-1222-1-122-12-1-1-1-12-12-1-1-1-2-22222-1-1-1-11111-2-2-2-2-12-1-1-2-1-1-111-2-21111-2-21111-200-200112211-1-1-1-1001002100-1-100000000
χ332222-1222-1-122-12-1-1-1-1-2-1-2-1-1-122-2-222-1-1-1-1-1-1-1-122221-211-21111122-1-1-1-1-2-21111-200-200-1-122-1-1-1-1-1-100100-21001100000000
χ342222-1222-1-122-12-1-1-1-1-2-1-2-1-1-122-2-222-1-1-1-1-1-1-1-1-2-2-2-21-211-21111122-1-1-1-1-2-2111120020011-2-211111100-1002-100-1-100000000
χ352222-1222-1-122-12-1-1-1-1-2-1-2-1-1-1-2-2-2-222-1-1-1-1111122221-2112111-1-1-2-2111122-1-1-1-1-200-200-1-1-2-2-1-11111001002100-1-100000000
χ362222-1222-1-122-12-1-1-1-1-2-1-2-1-1-1-2-2-2-222-1-1-1-11111-2-2-2-21-2112111-1-1-2-2111122-1-1-1-1200200112211-1-1-1-100-100-2-1001100000000
χ372222-12-2-2-1-122-1211112-1-2-1-1-100-2-2-2-2111133−3−322-2-2-12-1-101113−30033−3−30033−3−3-200200-1-1001133−3−3001000-1003−300000000
χ382222-12-2-2-1-122-1211112-1-2-1-1-100-2-2-2-2111133−3−3-2-222-12-1-101113−30033−3−30033−3−3200-2001100-1-1−3−33300-1000100−3300000000
χ392222-12-2-2-1-122-1211112-1-2-1-1-100-2-2-2-21111−3−33322-2-2-12-1-10111−3300−3−33300−3−333-200200-1-10011−3−333001000-100−3300000000
χ402222-12-2-2-1-122-1211112-1-2-1-1-100-2-2-2-21111−3−333-2-222-12-1-10111−3300−3−33300−3−333200-2001100-1-133−3−300-10001003−300000000
χ412222-12-2-2-1-122-121111-2-12-1-1-10022-2-2111133−3−322-2-21-2110-1-1-1−330033−3−300−3−333200-200-1-1001133−3−300-1000100−3300000000
χ422222-12-2-2-1-122-121111-2-12-1-1-10022-2-2111133−3−3-2-2221-2110-1-1-1−330033−3−300−3−333-2002001100-1-1−3−333001000-1003−300000000
χ432222-12-2-2-1-122-121111-2-12-1-1-10022-2-21111−3−33322-2-21-2110-1-1-13−300−3−3330033−3−3200-200-1-10011−3−33300-10001003−300000000
χ442222-12-2-2-1-122-121111-2-12-1-1-10022-2-21111−3−333-2-2221-2110-1-1-13−300−3−3330033−3−3-2002001100-1-133−3−3001000-100−3300000000
χ452-2-22222-2-2-2-2-22222-2-2020-2-2200002-222-2-200002-22-2000000000000000000000002-20002-2002-200000002-20000002-2000000
χ462-2-22222-2-2-2-2-22222-2-2020-2-2200002-222-2-200002-22-200000000000000000000000-220002-2002-20000000-22000000-22000000
χ472-2-22222-2-2-2-2-22222-2-2020-2-2200002-222-2-20000-22-22000000000000000000000002-2000-2200-2200000002-2000000-22000000
χ482-2-22222-2-2-2-2-22222-2-2020-2-2200002-222-2-20000-22-2200000000000000000000000-22000-2200-220000000-220000002-2000000
χ492-2-2222-22-2-2-2-222-2-222020-2-220000-22-2-22200002-2-22000000000000000000000000002-22-200-22000000000002-200002-20000
χ502-2-2222-22-2-2-2-222-2-222020-2-220000-22-2-22200002-2-2200000000000000000000000000-222-200-2200000000000-220000-220000
χ512-2-2222-22-2-2-2-222-2-222020-2-220000-22-2-2220000-222-2000000000000000000000000002-2-22002-2000000000002-20000-220000
χ522-2-2222-22-2-2-2-222-2-222020-2-220000-22-2-2220000-222-200000000000000000000000000-22-22002-200000000000-2200002-20000
χ5344444-2-4-444-2-24-2-4-4-4-44-2-4-2-2-20022222222000000004-2-2-20-4220000000000000000000000000000000000000000000000000
χ5444444-2-4-444-2-24-2-4-4-4-4-4-24-2-2-200-2-222222200000000-422204-2-20000000000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-2-2-2-241411144-2-2-2-21111-2-2-2-20000-2-2114-211-2-2-2-21111-2-2111100000000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-2-2-2-2414111-4-4-2-2-2-2111122220000-2-211-4-2112222-1-1-1-122-1-1-1-100000000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-2-2-2-2-41-41114422-2-21111-2-2-2-2000022-1-1-42-1-122-2-2111122-1-1-1-100000000000000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-2-2-2-2-41-4111-4-422-2-211112222000022-1-142-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2222241-4111002222-1-1-1-12323−23−230000-2-21102-1-123−2300−3−33300−3−33300000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2222241-4111002222-1-1-1-1−23−2323230000-2-21102-1-1−23230033−3−30033−3−300000000000000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-22222-41411100-2-222-1-1-1-12323−23−23000022-1-10-211−232300−3−3330033−3−300000000000000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-22222-41411100-2-222-1-1-1-1−23−232323000022-1-10-21123−230033−3−300−3−33300000000000000000000000000000000000
χ6344-4-444004-4-44-4-400000404-4-4−2i22i200000000−2i22i2−2i22i200000000000000−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ6444-4-444004-4-44-4-400000404-4-42i2−2i2000000002i2−2i22i2−2i2000000000000002i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ6544-4-44-2004-42-2-4200000-20-222−2i22i223−23000000−2i22i2−2i22i2000000000023−2300i2−i2i2−i2i2−i2i6−i6i6−i6i6−i600000000000000000000000000000000000
χ6644-4-44-2004-42-2-4200000-20-222−2i22i2−2323000000−2i22i2−2i22i20000000000−232300i2−i2i2−i2i2−i2−i6i6−i6i6−i6i600000000000000000000000000000000000
χ6744-4-44-2004-42-2-4200000-20-2222i2−2i223−230000002i2−2i22i2−2i2000000000023−2300−i2i2−i2i2−i2i2−i6i6−i6i6−i6i600000000000000000000000000000000000
χ6844-4-44-2004-42-2-4200000-20-2222i2−2i2−23230000002i2−2i22i2−2i20000000000−232300−i2i2−i2i2−i2i2i6−i6i6−i6i6−i600000000000000000000000000000000000
χ6944-4-4-2400-22-442-423−2323−230-20-222−2i22i2000023−2323−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000000000000000000
χ7044-4-4-2400-22-442-423−2323−230-20-2222i2−2i2000023−2323−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000000000000000000
χ7144-4-4-2400-22-442-4−2323−23230-20-222−2i22i20000−2323−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000000000000000000
χ7244-4-4-2400-22-442-4−2323−23230-20-2222i2−2i20000−2323−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000000000000000000
χ7344-4-4-2-200-222-22223−2323−230101-1-1−2i22i223−2300−33−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000003-300−3300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ7444-4-4-2-200-222-22223−2323−230101-1-1−2i22i2−232300−33−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000-33003−300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ7544-4-4-2-200-222-22223−2323−230101-1-12i2−2i223−2300−33−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000003-300−3300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ7644-4-4-2-200-222-22223−2323−230101-1-12i2−2i2−232300−33−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000-33003−300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ7744-4-4-2-200-222-222−2323−23230101-1-1−2i22i223−23003−33−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000-3300−3300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ7844-4-4-2-200-222-222−2323−23230101-1-1−2i22i2−2323003−33−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000003-3003−300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ7944-4-4-2-200-222-222−2323−23230101-1-12i2−2i223−23003−33−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000-3300−3300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ8044-4-4-2-200-222-222−2323−23230101-1-12i2−2i2−2323003−33−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000003-3003−300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ814-44-44400-444-4-4-40000040-44-4000000000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000
χ824-44-44400-444-4-4-40000040-44-40000000000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000
χ834-44-4-24002-24-42-423−23−23230-202-2200000023−23−232300000000000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000
χ844-44-4-24002-24-42-423−23−23230-202-2200000023−23−2323000000000000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000
χ854-44-4-24002-24-42-4−232323−230-202-22000000−232323−2300000000000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000
χ864-44-4-24002-24-42-4−232323−230-202-22000000−232323−23000000000000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000
χ874-4-444-24-4-4-4224-244-4-40-2022-20000-22-2-22200000000000000000000000000000004-40000000000000000-2200000000000000
χ884-4-444-24-4-4-4224-244-4-40-2022-20000-22-2-2220000000000000000000000000000000-4400000000000000002-200000000000000
χ894-4-444-2-44-4-4224-2-4-4440-2022-200002-222-2-200000000000000000000000000000000004-400000000000000000-220000000000
χ904-4-444-2-44-4-4224-2-4-4440-2022-200002-222-2-20000000000000000000000000000000000-44000000000000000002-20000000000
χ914-4-44-244-422-4-4-24-2-2220-2022-200004-4-2-22200004-44-40000000000000000000000000000-2200-2200000000000000000000000
χ924-4-44-244-422-4-4-24-2-2220-2022-200004-4-2-2220000-44-4400000000000000000000000000002-2002-200000000000000000000000
χ934-4-44-24-4422-4-4-2422-2-20-2022-20000-4422-2-200004-4-440000000000000000000000000000-22002-200000000000000000000000
χ944-4-44-24-4422-4-4-2422-2-20-2022-20000-4422-2-20000-444-400000000000000000000000000002-200-2200000000000000000000000
χ958-88-88-400-88-44-8400000-404-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4004-4-444443−43−4343020-22-2000000−232323−2300000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4004-4-4444−434343−43020-22-200000023−23−232300000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-84444-4-4-4-444020-2-220000-4422-2-200000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-884444-4-444-4-4020-2-2200004-4-2-22200000000000000000000000000000000000000000000000000000000000000000

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