Finite Group Databasebeta

← Group #11866333

Character table — Group #11866333

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order1222334466666612121212344666881212121212121212242424242244812121212121212242424242424242424242424242444444466881212242424242481212121212122424444461222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-1
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
χ5111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ6111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-11111-1-11-1-1111111-1-1-1-1-1-111
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-111111111-1-1
χ91111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111111111-11-1-1-111-1-1-1-111-1-1-111-1
χ101111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1111-1-11
χ111111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-11-11
χ121111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-11-11-1
χ131111111111111111111-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-111-1-111-1-1-1-11-11-1-111-1-11111-1-11-1-11
χ141111111111111111111-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-111-1-1-1-11111-1-111-111-1
χ151111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-111111-1-11111-1-1-1-1-1-1111-11-1
χ161111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1111-1-111-1-11111-11-111-1-111-1-111-1-1-11-11
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-2000022-2-202-2222-2-200000000000000-2002002200-2-200000002-200000000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-20000-2-22202-2222-2-200000000000000200-200-2-200220000000-2200000000000000
χ19222222-2-2222222-2-2-2-22-222220022-2-2-2-2-2-2000022-2-20-22-2-2-22200000000000000200-2002200-2-20000000-2200000000000000
χ20222222-2-2222222-2-2-2-22-222220022-2-2-2-2-2-20000-2-2220-22-2-2-22200000000000000-200200-2-2002200000002-200000000000000
χ2122222-122-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1022022000000000022000-1-1-1-1000000-1-100
χ2222222-122-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000000000-2-200011110000001100
χ2322222-122-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-21111111111110220220000000000-2-2000-1-1-1-10000001100
χ2422222-122-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-21111111111110-2-20-2-20000000000220001111000000-1-100
χ2522222-122-1222-1-12222-1-2-2-1-1-12211-1-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-11111110220-2-20000000000-22000-1-1110000001-100
χ2622222-122-1222-1-12222-1-2-2-1-1-12211-1-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-11111110-2-202200000000002-200011-1-1000000-1100
χ2722222-122-1222-1-12222-1-2-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-10220-2-200000000002-2000-1-111000000-1100
χ2822222-122-1222-1-12222-1-2-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-10-2-20220000000000-2200011-1-10000001-100
χ292222-12222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-122222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1200200-1-122-1-1-1-1-1-1002-1-10000-1-100000000
χ302222-12222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-2-2-22-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-200-20011-2-211111100-21100001100000000
χ312222-12222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-111112222-2-1-12-1-1-1-111-2-21111-2-21111200200-1-1-2-2-1-1111100-2-1-100001100000000
χ322222-12222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-2-2-1-12-1-1-1-111-2-21111-2-21111-200-200112211-1-1-1-1002110000-1-100000000
χ332222-12222-1-1-122-1-1-1-1-1-2-2-1-1-122-2-22-1-12-1-1-1-1-1-12222-211-211111122-1-1-1-1-2-21111-200-200-1-122-1-1-1-1-1-100-21100001100000000
χ342222-12222-1-1-122-1-1-1-1-1-2-2-1-1-122-2-22-1-12-1-1-1-1-1-1-2-2-2-2-211-211111122-1-1-1-1-2-2111120020011-2-2111111002-1-10000-1-100000000
χ352222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-2-2-22-1-12-1-111112222211-21111-1-1-2-2111122-1-1-1-1-200-200-1-1-2-2-1-11111002110000-1-100000000
χ362222-12222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-2-2-22-1-12-1-11111-2-2-2-2211-21111-1-1-2-2111122-1-1-1-1200200112211-1-1-1-100-2-1-100001100000000
χ372222-12-2-22-1-1-1221111-12-2-1-1-100-2-2-211-21133−3−322-2-20-112-1-1113−30033−3−30033−3−3-200200-1-1001133−3−3000-1100003−300000000
χ382222-12-2-22-1-1-1221111-12-2-1-1-100-2-2-211-21133−3−3-2-2220-112-1-1113−30033−3−30033−3−3200-2001100-1-1−3−3330001-10000−3300000000
χ392222-12-2-22-1-1-1221111-12-2-1-1-100-2-2-211-211−3−33322-2-20-112-1-111−3300−3−33300−3−333-200200-1-10011−3−333000-110000−3300000000
χ402222-12-2-22-1-1-1221111-12-2-1-1-100-2-2-211-211−3−333-2-2220-112-1-111−3300−3−33300−3−333200-2001100-1-133−3−30001-100003−300000000
χ412222-12-2-22-1-1-1221111-1-22-1-1-10022-211-21133−3−322-2-201-1-211-1-1−330033−3−300−3−333200-200-1-1001133−3−30001-10000−3300000000
χ422222-12-2-22-1-1-1221111-1-22-1-1-10022-211-21133−3−3-2-22201-1-211-1-1−330033−3−300−3−333-2002001100-1-1−3−333000-1100003−300000000
χ432222-12-2-22-1-1-1221111-1-22-1-1-10022-211-211−3−33322-2-201-1-211-1-13−300−3−3330033−3−3200-200-1-10011−3−3330001-100003−300000000
χ442222-12-2-22-1-1-1221111-1-22-1-1-10022-211-211−3−333-2-22201-1-211-1-13−300−3−3330033−3−3-2002001100-1-133−3−3000-110000−3300000000
χ452-2-22222-2-22-2-2-2222-2-22002-2-20000222-2-2-200002-22-2000000000000000000000002i−2i0002-2002-20000000002i−2i00002i−2i000000
χ462-2-22222-2-22-2-2-2222-2-22002-2-20000222-2-2-200002-22-200000000000000000000000−2i2i0002-2002-2000000000−2i2i0000−2i2i000000
χ472-2-22222-2-22-2-2-2222-2-22002-2-20000222-2-2-20000-22-22000000000000000000000002i−2i000-2200-220000000002i−2i0000−2i2i000000
χ482-2-22222-2-22-2-2-2222-2-22002-2-20000222-2-2-20000-22-2200000000000000000000000−2i2i000-2200-22000000000−2i2i00002i−2i000000
χ492-2-2222-22-22-2-2-22-2-2222002-2-20000-2-2-222200002-2-22000000000000000000000000002-22-200-22000000000002-200002-20000
χ502-2-2222-22-22-2-2-22-2-2222002-2-20000-2-2-222200002-2-2200000000000000000000000000-222-200-2200000000000-220000-220000
χ512-2-2222-22-22-2-2-22-2-2222002-2-20000-2-2-22220000-222-2000000000000000000000000002-2-22002-2000000000002-20000-220000
χ522-2-2222-22-22-2-2-22-2-2222002-2-20000-2-2-22220000-222-200000000000000000000000000-22-22002-200000000000-2200002-20000
χ5344444-2-4-4-2444-2-2-4-4-4-4-24-4-2-2-200222222220000000004-4-2-2-2220000000000000000000000000000000000000000000000000
χ5444444-2-4-4-2444-2-2-4-4-4-4-2-44-2-2-200-2-2222222000000000-44222-2-20000000000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-2-2-2-214411144-2-2-211-211-2-2-2-200004-2-2-21111-2-2-2-21111-2-2111100000000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-2-2-2-2144111-4-4-2-2-211-21122220000-4-2-2-211112222-1-1-1-122-1-1-1-100000000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-2-2-2-21-4-41114422-211-211-2-2-2-20000-4222-1-1-1-122-2-2111122-1-1-1-100000000000000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-422-211-211222200004222-1-1-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2222214-411100222-1-12-1-12323−23−2300000-22-211-1-123−2300−3−33300−3−33300000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2222214-411100222-1-12-1-1−23−23232300000-22-211-1-1−23230033−3−30033−3−300000000000000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-222221-4411100-2-22-1-12-1-12323−23−23000002-22-1-111−232300−3−3330033−3−300000000000000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-222221-4411100-2-22-1-12-1-1−23−232323000002-22-1-11123−230033−3−300−3−33300000000000000000000000000000000000
χ6344-4-44400-4-44-44-40000400-44-4−2i22i200000000−2i22i2−2i22i200000000000000−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ6444-4-44400-4-44-44-40000400-44-42i2−2i2000000002i2−2i22i2−2i2000000000000002i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ6544-4-44-2002-44-4-220000-2002-22−2i22i223−23000000−2i22i2−2i22i2000000000023−2300i2−i2i2−i2i2−i2i6−i6i6−i6i6−i600000000000000000000000000000000000
χ6644-4-44-2002-44-4-220000-2002-22−2i22i2−2323000000−2i22i2−2i22i20000000000−232300i2−i2i2−i2i2−i2−i6i6−i6i6−i6i600000000000000000000000000000000000
χ6744-4-44-2002-44-4-220000-2002-222i2−2i223−230000002i2−2i22i2−2i2000000000023−2300−i2i2−i2i2−i2i2−i6i6−i6i6−i6i600000000000000000000000000000000000
χ6844-4-44-2002-44-4-220000-2002-222i2−2i2−23230000002i2−2i22i2−2i20000000000−232300−i2i2−i2i2−i2i2i6−i6i6−i6i6−i600000000000000000000000000000000000
χ6944-4-4-2400-42-224-423−2323−23-2002-22−2i22i200023−23023−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000000000000000000000000000000000000
χ7044-4-4-2400-42-224-423−2323−23-2002-222i2−2i200023−23023−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000000000000000000000000000000000000
χ7144-4-4-2400-42-224-4−2323−2323-2002-22−2i22i2000−23230−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000000000000000000000000000000000000
χ7244-4-4-2400-42-224-4−2323−2323-2002-222i2−2i2000−23230−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000000000000000000000000000000000000
χ7344-4-4-2-20022-22-2223−2323−23100-11-1−2i22i223−230−330−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000003-3−3300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ7444-4-4-2-20022-22-2223−2323−23100-11-1−2i22i2−23230−330−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ2300000000-333−300i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ7544-4-4-2-20022-22-2223−2323−23100-11-12i2−2i223−230−330−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000003-3−3300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ7644-4-4-2-20022-22-2223−2323−23100-11-12i2−2i2−23230−330−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2300000000-333−300−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ7744-4-4-2-20022-22-22−2323−2323100-11-1−2i22i223−2303−303−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ700000000-33−3300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ7844-4-4-2-20022-22-22−2323−2323100-11-1−2i22i2−232303−303−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000003-33−300i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ7944-4-4-2-20022-22-22−2323−2323100-11-12i2−2i223−2303−303−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ700000000-33−3300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ8044-4-4-2-20022-22-22−2323−2323100-11-12i2−2i2−232303−303−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000003-33−300−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ814-44-444004-4-44-4-40000400-4-44000000000000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000
χ824-44-444004-4-44-4-40000400-4-440000000000000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000
χ834-44-4-2400422-2-4-423−23−2323-20022-20000023−230−232300000000000000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000
χ844-44-4-2400422-2-4-423−23−2323-20022-20000023−230−2323000000000000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000
χ854-44-4-2400422-2-4-4−232323−23-20022-200000−2323023−2300000000000000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000
χ864-44-4-2400422-2-4-4−232323−23-20022-200000−2323023−23000000000000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000
χ874-4-444-24-424-4-42-244-4-4-200-2220000-2-2-222200000000000000000000000000000004i−4i000000000000000000−2i2i000000000000
χ884-4-444-24-424-4-42-244-4-4-200-2220000-2-2-22220000000000000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ894-4-444-2-4424-4-42-2-4-444-200-2220000222-2-2-200000000000000000000000000000000004-400000000000000000-220000000000
χ904-4-444-2-4424-4-42-2-4-444-200-2220000222-2-2-20000000000000000000000000000000000-44000000000000000002-20000000000
χ914-4-44-244-4-4-222-44-2-222-200-22200004-2-2-42200004-44-40000000000000000000000000000-2200-2200000000000000000000000
χ924-4-44-244-4-4-222-44-2-222-200-22200004-2-2-4220000-44-4400000000000000000000000000002-2002-200000000000000000000000
χ934-4-44-24-44-4-222-4422-2-2-200-2220000-4224-2-200004-4-440000000000000000000000000000-22002-200000000000000000000000
χ944-4-44-24-44-4-222-4422-2-2-200-2220000-4224-2-20000-444-400000000000000000000000000002-200-2200000000000000000000000
χ958-88-88-400-4-8-88440000-40044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400-444-44443−43−4343200-2-2200000−2323023−2300000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-400-444-444−434343−43200-2-220000023−230−232300000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-84-4444-4-4-4442002-2-20000-4224-2-200000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-884-4444-444-4-42002-2-200004-2-2-42200000000000000000000000000000000000000000000000000000000000000000

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