Finite Group Databasebeta

← Group #11872129

Character table — Group #11872129

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order122233446666661212121223466666881212121212122424242444446668121212122424242424242424242424242424222244881212121224242424246666812122424444461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1
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
χ511111111111111111111111111-1-1111111-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-111-1-11111-1-1-1-1
χ611111111111111111111111111-1-1111111-1-1-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-11111
χ711111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111111-1-111-1-1-1-1-1-111
χ811111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-111111111-1-1
χ9111111111111111111-11-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111111-111-1-1-1-1-1-1-1-1-1111-1-11
χ10111111111111111111-11-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111111111-11-1-111-1-1-1-1-111-1-1-111-1
χ11111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-11111111-1-11-11-1
χ12111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-111-11-11
χ13111111111111111111-11-1-1-1111-1-1111111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-11-1-111-1-111-111-1
χ14111111111111111111-11-1-1-1111-1-1111111-1-1-1-11111-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-1-1-1111-1-11111-1-11-1-11
χ15111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1111-1-1-111-1-111-1-1-11-11
χ16111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-111111-1-1-111-111-1-1-1-1111-11-1
χ17222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-2000022-2-22220-2-2-2-2000000000000000000-220022-2-2000000000002-20000000000
χ18222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-20000-2-2222220-2-2-2-20000000000000000002-200-2-22200000000000-220000000000
χ19222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-2000022-2-2-2-2-2022220000000000000000002-20022-2-200000000000-220000000000
χ20222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-20000-2-222-2-2-202222000000000000000000-2200-2-222000000000002-20000000000
χ2122222-122-12-122-122222-12-1-1-1-1-122-1-1-1-1-1-1222200002-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200000000000022-1-1-1-1000000000-1-100
χ2222222-122-12-122-122222-12-1-1-1-1-122-1-1-1-1-1-1222200002-1-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-211110000000001100
χ2322222-122-12-122-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200002-1-1-22-1-1-1-2-21111111111112222000000000000-2-2-1-1-1-10000000001100
χ2422222-122-12-122-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200002-1-1-22-1-1-1-2-2111111111111-2-2-2-2000000000000221111000000000-1-100
χ2522222-122-12-122-12222-2-1-211-1-1-122-1-1-1-1-1-122220000-211-2-2111-2-2-1-1-1-1-1-111111122-2-20000000000002-2-1-111000000000-1100
χ2622222-122-12-122-12222-2-1-211-1-1-122-1-1-1-1-1-122220000-211-2-2111-2-2-1-1-1-1-1-1111111-2-222000000000000-2211-1-10000000001-100
χ2722222-122-12-122-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-20000-2112-211122111111-1-1-1-1-1-122-2-2000000000000-22-1-1110000000001-100
χ2822222-122-12-122-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-20000-2112-211122111111-1-1-1-1-1-1-2-2220000000000002-211-1-1000000000-1100
χ292222-12222-12-1-12-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-12222-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-100002222-1-1-1-1-1-1-1-10000002-1-1-1-100000000
χ302222-12222-12-1-12-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-10000-2-2-2-211111111000000-2111100000000
χ312222-12222-12-1-12-1-1-1-12-1222-1-1-1-2-222-1-1-1-111112222-1-1-1-2-12-1-111-2-21111-2-21111000022-2-2-1-1-1-11111000000-2-1-11100000000
χ322222-12222-12-1-12-1-1-1-12-1222-1-1-1-2-222-1-1-1-11111-2-2-2-2-1-1-1-2-12-1-111-2-21111-2-211110000-2-2221111-1-1-1-1000000211-1-100000000
χ332222-12222-12-1-12-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-12222111-21-2111122-1-1-1-1-2-211110000-2-222-1-1-1-1-1-1-1-1000000-2111100000000
χ342222-12222-12-1-12-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111-21-2111122-1-1-1-1-2-21111000022-2-2111111110000002-1-1-1-100000000
χ352222-12222-12-1-12-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-11111222211121-211-1-1-2-2111122-1-1-1-10000-2-2-2-2-1-1-1-11111000000211-1-100000000
χ362222-12222-12-1-12-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-11111-2-2-2-211121-211-1-1-2-2111122-1-1-1-1000022221111-1-1-1-1000000-2-1-11100000000
χ372222-12-2-22-12-1-1211112-1-222-1-1-100-2-2111133−3−322-2-2-1-1-101-2113−30033−3−30033−3−30000-2200-1-11133−3−30000000-113−300000000
χ382222-12-2-22-12-1-1211112-1-222-1-1-100-2-2111133−3−3-2-222-1-1-101-2113−30033−3−30033−3−300002-20011-1-1−3−33300000001-1−3300000000
χ392222-12-2-22-12-1-1211112-1-222-1-1-100-2-21111−3−33322-2-2-1-1-101-211−3300−3−33300−3−3330000-2200-1-111−3−3330000000-11−3300000000
χ402222-12-2-22-12-1-1211112-1-222-1-1-100-2-21111−3−333-2-222-1-1-101-211−3300−3−33300−3−33300002-20011-1-133−3−300000001-13−300000000
χ412222-12-2-22-12-1-121111-2-12-2-2-1-1-100-2-2111133−3−322-2-21110-12-1-1−330033−3−300−3−33300002-200-1-11133−3−300000001-1−3300000000
χ422222-12-2-22-12-1-121111-2-12-2-2-1-1-100-2-2111133−3−3-2-2221110-12-1-1−330033−3−300−3−3330000-220011-1-1−3−3330000000-113−300000000
χ432222-12-2-22-12-1-121111-2-12-2-2-1-1-100-2-21111−3−33322-2-21110-12-1-13−300−3−3330033−3−300002-200-1-111−3−33300000001-13−300000000
χ442222-12-2-22-12-1-121111-2-12-2-2-1-1-100-2-21111−3−333-2-2221110-12-1-13−300−3−3330033−3−30000-220011-1-133−3−30000000-11−3300000000
χ4522-2-2222-2-222-2-2-222-2-202000-2-22002-222-2-200002i−2i2i−2i00000000000000000000002-20000002i−2i2i−2i0000002-20000000002i−2i0000
χ4622-2-2222-2-222-2-2-222-2-202000-2-22002-222-2-200002i−2i2i−2i0000000000000000000000-220000002i−2i2i−2i000000-22000000000−2i2i0000
χ4722-2-2222-2-222-2-2-222-2-202000-2-22002-222-2-20000−2i2i−2i2i00000000000000000000002-2000000−2i2i−2i2i0000002-2000000000−2i2i0000
χ4822-2-2222-2-222-2-2-222-2-202000-2-22002-222-2-20000−2i2i−2i2i0000000000000000000000-22000000−2i2i−2i2i000000-220000000002i−2i0000
χ4922-2-222-22-222-2-2-2-2-22202000-2-2200-22-2-22200002i−2i−2i2i0000000000000000000000002-200002i−2i−2i2i000000002-2000002i−2i000000
χ5022-2-222-22-222-2-2-2-2-22202000-2-2200-22-2-22200002i−2i−2i2i000000000000000000000000-2200002i−2i−2i2i00000000-2200000−2i2i000000
χ5122-2-222-22-222-2-2-2-2-22202000-2-2200-22-2-2220000−2i2i2i−2i0000000000000000000000002-20000−2i2i2i−2i000000002-200000−2i2i000000
χ5222-2-222-22-222-2-2-2-2-22202000-2-2200-22-2-2220000−2i2i2i−2i000000000000000000000000-220000−2i2i2i−2i00000000-22000002i−2i000000
χ5344444-2-4-4-24-244-2-4-4-4-44-2-4-2-2-2-2-200222222000000004-2-20-42220000000000000000000000000000000000000000000000000
χ5444444-2-4-4-24-244-2-4-4-4-4-4-2422-2-2-20022222200000000-42204-2-2-20000000000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2-2-2-2-2414-2-211144-2-21111-2-2-2-20000-2114-2-211-2-2-2-21111-2-2111100000000000000000000000000000000000
χ564444-2-244-2-2-2-2-2-2-2-2-2-2414-2-2111-4-4-2-2111122220000-211-4-2-2112222-1-1-1-122-1-1-1-100000000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-2-2-2-2-2-41-42211144-2-21111-2-2-2-200002-1-1-422-1-122-2-2111122-1-1-1-100000000000000000000000000000000000
χ584444-2-244-2-2-2-2-2-2-2-2-2-2-41-422111-4-4-2-21111222200002-1-1422-1-1-2-222-1-1-1-1-2-2111100000000000000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2222241-4-2-21110022-1-1-1-12323−23−230000-211022-1-123−2300−3−33300−3−33300000000000000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2222241-4-2-21110022-1-1-1-1−23−2323230000-211022-1-1−23230033−3−30033−3−300000000000000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-22222-414221110022-1-1-1-12323−23−2300002-1-10-2-211−232300−3−3330033−3−300000000000000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-22222-414221110022-1-1-1-1−23−23232300002-1-10-2-21123−230033−3−300−3−33300000000000000000000000000000000000
χ6344-4-44-24-424-2-4-4244-4-40-200022-200-22-2-2220000000000000000000000000000004-40000000000000000-22000000000000000
χ6444-4-44-24-424-2-4-4244-4-40-200022-200-22-2-222000000000000000000000000000000-4400000000000000002-2000000000000000
χ6544-4-44-2-4424-2-4-42-4-4440-200022-2002-222-2-2000000000000000000000000000000004-40000000000000000-220000000000000
χ6644-4-44-2-4424-2-4-42-4-4440-200022-2002-222-2-200000000000000000000000000000000-4400000000000000002-20000000000000
χ6744-4-4-244-4-4-2422-4-2-2220-200022-2004-4-2-22200004i−4i4i−4i000000000000000000000000000000−2i2i−2i2i00000000000000000000000
χ6844-4-4-244-4-4-2422-4-2-2220-200022-2004-4-2-2220000−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i00000000000000000000000
χ6944-4-4-24-44-4-2422-422-2-20-200022-200-4422-2-200004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000
χ7044-4-4-24-44-4-2422-422-2-20-200022-200-4422-2-20000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000
χ714-44-444004-4-44-4-40000040004-4-400000000000000000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000
χ724-44-444004-4-44-4-40000040004-4-4000000000000000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000
χ734-44-4-240042-4-22-423−2323−230-2000-222000023−2323−23000000000000000000000000000000000000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000
χ744-44-4-240042-4-22-423−2323−230-2000-222000023−2323−230000000000000000000000000000000000002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000
χ754-44-4-240042-4-22-4−2323−23230-2000-2220000−2323−2323000000000000000000000000000000000000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000
χ764-44-4-240042-4-22-4−2323−23230-2000-2220000−2323−23230000000000000000000000000000000000002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000
χ774-4-444400-4-4-4-444000004000-44-422−2200000022−2222−220000000000000022−2222−2222−2200000000000000000000000000000000000000000
χ784-4-444400-4-4-4-444000004000-44-4−2222000000−2222−222200000000000000−2222−2222−222200000000000000000000000000000000000000000
χ794-4-444-2002-42-44-200000-20−2i32i32-2222−2200000022−2222−2200000−2i32i30000000−22−22−22i6−i6i6−i6i6−i600000000000000000000000000000000000
χ804-4-444-2002-42-44-200000-20−2i32i32-22−2222000000−2222−222200000−2i32i300000002−22−22−2−i6i6−i6i6−i6i600000000000000000000000000000000000
χ814-4-444-2002-42-44-200000-202i3−2i32-2222−2200000022−2222−22000002i3−2i30000000−22−22−22−i6i6−i6i6−i6i600000000000000000000000000000000000
χ824-4-444-2002-42-44-200000-202i3−2i32-22−2222000000−2222−2222000002i3−2i300000002−22−22−2i6−i6i6−i6i6−i600000000000000000000000000000000000
χ834-4-44-2400-42-42-2423−23−23230-20002-2222−220023−23−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000
χ844-4-44-2400-42-42-2423−23−23230-20002-22−22220023−23−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000
χ854-4-44-2400-42-42-24−232323−230-20002-2222−2200−232323−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000
χ864-4-44-2400-42-42-24−232323−230-20002-22−222200−232323−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000
χ874-4-44-2-2002222-2-223−23−2323010−2i32i3-11-122−2200−333−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000i3−i30003i−3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ884-4-44-2-2002222-2-223−23−2323010−2i32i3-11-1−222200−333−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000i3−i30003i−3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ894-4-44-2-2002222-2-223−23−23230102i3−2i3-11-122−2200−333−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000−i3i3000−3i3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ904-4-44-2-2002222-2-223−23−23230102i3−2i3-11-1−222200−333−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000−i3i3000−3i3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ914-4-44-2-2002222-2-2−232323−23010−2i32i3-11-122−22003−3−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000i3−i3000−3i3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ924-4-44-2-2002222-2-2−232323−23010−2i32i3-11-1−2222003−3−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000i3−i3000−3i3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ934-4-44-2-2002222-2-2−232323−230102i3−2i3-11-122−22003−3−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000−i3i30003i−3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ944-4-44-2-2002222-2-2−232323−230102i3−2i3-11-1−2222003−3−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000−i3i30003i−3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ9588-8-8-4-48-84-4-4444-4-44402000-2-2200-4422-2-200000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-884-4-444444-4-402000-2-22004-4-2-22200000000000000000000000000000000000000000000000000000000000000000
χ978-88-88-400-4-848-8400000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-400-444-44443−4343−43020002-2-20000−2323−232300000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400-444-444−4343−4343020002-2-2000023−2323−2300000000000000000000000000000000000000000000000000000000000000000

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