Finite Group Databasebeta

← Group #11873328

Character table — Group #11873328

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222222244444444444444444444666688888888888888888888881212121212121212121212121212121224242424242424242424243636363648487272
order122233446666661212121234466688121212121212121224242424444481212121212121224242424242424242424242424242444448812121212242424244468121212121224244444121244
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
χ5111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11-111111-1-11111-1-1-1-1
χ6111111111111111111111111-1-111111111-1-1-1-11111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-11-1111111-1-1-1-1-1-111
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-1-1-111111111-1-1
χ91111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-111111111111-1-1-1-111-1-1-1-111-1-11-11-1
χ101111111111111111111-1-111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1-111-1-1-1-111-11-11
χ111111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1111-1-11
χ121111111111111111111-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1
χ131111111111111111111-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-1-11-11-111-1-11111-1-1-11-11
χ141111111111111111111-1-1111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11-1-11-1-1-11111-1-1111-11-1
χ151111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-11111-111-1111-1-1-1-1-1-111-111-1
χ161111111111111111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111111-1-1-1-111111-11-11-1-111-1-111-1-11-1-11
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-2000022-2-202-2222-2-200000000000000-2002000022-2-2000000-20200000000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-20000-2-22202-2222-2-200000000000000200-20000-2-22200000020-200000000000000
χ19222222-2-2222222-2-2-2-22-222220022-2-2-2-2-2-2000022-2-20-22-2-2-22200000000000000200-2000022-2-200000020-200000000000000
χ20222222-2-2222222-2-2-2-22-222220022-2-2-2-2-2-20000-2-2220-22-2-2-22200000000000000-20020000-2-222000000-20200000000000000
χ2122222-1222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-122222-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-120020022-1-1-1-1-1-1-1-100-12-10000-1-100000000
χ2222222-1222-1-1-122-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-2-2-22-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-200-200-2-211111111001-2100001100000000
χ2322222-1222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-111112222-2-1-12-1-1-1-111-2-21111-2-21111200200-2-2-1-1-1-1111100-1-2-100001100000000
χ2422222-1222-1-1-122-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-2-2-1-12-1-1-1-111-2-21111-2-21111-200-200221111-1-1-1-1001210000-1-100000000
χ2522222-1222-1-1-122-1-1-1-1-1-2-2-1-1-122-2-22-1-12-1-1-1-1-1-12222-211-211111122-1-1-1-1-2-21111-200-20022-1-1-1-1-1-1-1-1001-2100001100000000
χ2622222-1222-1-1-122-1-1-1-1-1-2-2-1-1-122-2-22-1-12-1-1-1-1-1-1-2-2-2-2-211-211111122-1-1-1-1-2-21111200200-2-21111111100-12-10000-1-100000000
χ2722222-1222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-2-2-22-1-12-1-111112222211-21111-1-1-2-2111122-1-1-1-1-200-200-2-2-1-1-1-11111001210000-1-100000000
χ2822222-1222-1-1-122-1-1-1-1-1-2-2-1-1-1-2-2-2-22-1-12-1-11111-2-2-2-2211-21111-1-1-2-2111122-1-1-1-1200200221111-1-1-1-100-1-2-100001100000000
χ2922222-1-2-22-1-1-1221111-12-2-1-1-100-2-2-211-21133−3−322-2-20-112-1-1113−30033−3−30033−3−3-20020000-1-11133−3−30010-100003−300000000
χ3022222-1-2-22-1-1-1221111-12-2-1-1-100-2-2-211-21133−3−3-2-2220-112-1-1113−30033−3−30033−3−3200-2000011-1-1−3−33300-1010000−3300000000
χ3122222-1-2-22-1-1-1221111-12-2-1-1-100-2-2-211-211−3−33322-2-20-112-1-111−3300−3−33300−3−333-20020000-1-111−3−3330010-10000−3300000000
χ3222222-1-2-22-1-1-1221111-12-2-1-1-100-2-2-211-211−3−333-2-2220-112-1-111−3300−3−33300−3−333200-2000011-1-133−3−300-10100003−300000000
χ3322222-1-2-22-1-1-1221111-1-22-1-1-10022-211-21133−3−322-2-201-1-211-1-1−330033−3−300−3−333200-20000-1-11133−3−300-1010000−3300000000
χ3422222-1-2-22-1-1-1221111-1-22-1-1-10022-211-21133−3−3-2-22201-1-211-1-1−330033−3−300−3−333-2002000011-1-1−3−3330010-100003−300000000
χ3522222-1-2-22-1-1-1221111-1-22-1-1-10022-211-211−3−33322-2-201-1-211-1-13−300−3−3330033−3−3200-20000-1-111−3−33300-10100003−300000000
χ3622222-1-2-22-1-1-1221111-1-22-1-1-10022-211-211−3−333-2-22201-1-211-1-13−300−3−3330033−3−3-2002000011-1-133−3−30010-10000−3300000000
χ372222-1222-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1022022000000000022000-1-1-1-1000000-1-100
χ382222-1222-1222-1-12222-122-1-1-122-1-1-1-1-1-1-1-122220000222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-20-2-20000000000-2-200011110000001100
χ392222-1222-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-21111111111110220220000000000-2-2000-1-1-1-10000001100
χ402222-1222-1222-1-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-20000-222-1-1-1-1-1-2-21111111111110-2-20-2-20000000000220001111000000-1-100
χ412222-1222-1222-1-12222-1-2-2-1-1-12211-1-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-11111110220-2-200000000002-2000-1-111000000-1100
χ422222-1222-1222-1-12222-1-2-2-1-1-12211-1-1-1-1-1-122220000-2-2-211111-2-2-1-1-1-1-1-11111110-2-20220000000000-2200011-1-10000001-100
χ432222-1222-1222-1-12222-1-2-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-10220-2-20000000000-22000-1-1110000001-100
χ442222-1222-1222-1-12222-1-2-2-1-1-1-2-211-1-1-1-1-1-1-2-2-2-200002-2-21111122111111-1-1-1-1-1-10-2-202200000000002-200011-1-1000000-1100
χ452-22-2222-2-22-2-2-2222-2-22002-2-20000-2-2-222200002i−2i2i−2i000000000000000000000000002-2002i−2i2i−2i000000000002-200002i−2i0000
χ462-22-2222-2-22-2-2-2222-2-22002-2-20000-2-2-222200002i−2i2i−2i00000000000000000000000000-22002i−2i2i−2i00000000000-220000−2i2i0000
χ472-22-2222-2-22-2-2-2222-2-22002-2-20000-2-2-22220000−2i2i−2i2i000000000000000000000000002-200−2i2i−2i2i000000000002-20000−2i2i0000
χ482-22-2222-2-22-2-2-2222-2-22002-2-20000-2-2-22220000−2i2i−2i2i00000000000000000000000000-2200−2i2i−2i2i00000000000-2200002i−2i0000
χ492-22-222-22-22-2-2-22-2-2222002-2-20000222-2-2-200002i−2i−2i2i000000000000000000000002i−2i000002i−2i−2i2i0000000002i−2i00002-2000000
χ502-22-222-22-22-2-2-22-2-2222002-2-20000222-2-2-200002i−2i−2i2i00000000000000000000000−2i2i000002i−2i−2i2i000000000−2i2i0000-22000000
χ512-22-222-22-22-2-2-22-2-2222002-2-20000222-2-2-20000−2i2i2i−2i000000000000000000000002i−2i00000−2i2i2i−2i0000000002i−2i0000-22000000
χ522-22-222-22-22-2-2-22-2-2222002-2-20000222-2-2-20000−2i2i2i−2i00000000000000000000000−2i2i00000−2i2i2i−2i000000000−2i2i00002-2000000
χ534444-24-4-4-2444-2-2-4-4-4-4-24-4-2-2-200222222220000000004-4-2-2-2220000000000000000000000000000000000000000000000000
χ544444-24-4-4-2444-2-2-4-4-4-4-2-44-2-2-200-2-2222222000000000-44222-2-20000000000000000000000000000000000000000000000000
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
χ6344-4-44400-4-44-44-40000400-44-4000000000000000000000000000000000000000000000022−22000022−2222−220000000000000000000
χ6444-4-44400-4-44-44-40000400-44-40000000000000000000000000000000000000000000000−22220000−2222−22220000000000000000000
χ6544-4-44-200-42-224-423−2323−23-2002-220000023−23023−2300000000000000000000000000000000000022−2200002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000
χ6644-4-44-200-42-224-423−2323−23-2002-220000023−23023−23000000000000000000000000000000000000−22220000−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000
χ6744-4-44-200-42-224-4−2323−2323-2002-2200000−23230−232300000000000000000000000000000000000022−2200002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000
χ6844-4-44-200-42-224-4−2323−2323-2002-2200000−23230−2323000000000000000000000000000000000000−22220000−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000
χ694-44-44-24-4-4-222-44-2-222-200-2220000-4224-2-200004i−4i4i−4i000000000000000000000000000000−2i2i−2i2i00000000000000000000000
χ704-44-44-24-4-4-222-44-2-222-200-2220000-4224-2-20000−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i00000000000000000000000
χ714-44-44-2-44-4-222-4422-2-2-200-22200004-2-2-42200004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000
χ724-44-44-2-44-4-222-4422-2-2-200-22200004-2-2-4220000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000
χ734-44-4-244-424-4-42-244-4-4-200-2220000222-2-2-200000000000000000000000000000000004-400000000000000000-220000000000
χ744-44-4-244-424-4-42-244-4-4-200-2220000222-2-2-20000000000000000000000000000000000-44000000000000000002-20000000000
χ754-44-4-24-4424-4-42-2-4-444-200-2220000-2-2-222200000000000000000000000000000004i−4i000000000000000000−2i2i000000000000
χ764-44-4-24-4424-4-42-2-4-444-200-2220000-2-2-22220000000000000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ774-4-4444004-4-44-4-40000400-4-4422−220000000022−2222−220000000000000022−2222−2222−2200000000000000000000000000000000000000000
χ784-4-4444004-4-44-4-40000400-4-44−222200000000−2222−222200000000000000−2222−2222−222200000000000000000000000000000000000000000
χ794-4-444-200422-2-4-423−23−2323-20022-222−22000−2323023−232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000000000000000000000000000000000
χ804-4-444-200422-2-4-423−23−2323-20022-2−2222000−2323023−23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000000000000000000000000000000000000
χ814-4-444-200422-2-4-4−232323−23-20022-222−2200023−230−23232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000000000000000000000000000000000
χ824-4-444-200422-2-4-4−232323−23-20022-2−222200023−230−2323−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000000000000000000000000000000000000
χ834-4-44-2400-2-4-44220000-20022-222−22−2i32i300000022−2222−220000000000−2i32i300−22−22−22i6−i6i6−i6i6−i600000000000000000000000000000000000
χ844-4-44-2400-2-4-44220000-20022-222−222i3−2i300000022−2222−2200000000002i3−2i300−22−22−22−i6i6−i6i6−i6i600000000000000000000000000000000000
χ854-4-44-2400-2-4-44220000-20022-2−2222−2i32i3000000−2222−22220000000000−2i32i3002−22−22−2−i6i6−i6i6−i6i600000000000000000000000000000000000
χ864-4-44-2400-2-4-44220000-20022-2−22222i3−2i3000000−2222−222200000000002i3−2i3002−22−22−2i6−i6i6−i6i6−i600000000000000000000000000000000000
χ874-4-44-2-200-222-22223−23−2323100-1-1122−22−2i32i303−30−332ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000003i−3ii3−i300−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ884-4-44-2-200-222-22223−23−2323100-1-1122−222i3−2i303−30−332ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000−3i3i−i3i300−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ894-4-44-2-200-222-22223−23−2323100-1-11−2222−2i32i303−30−33−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000003i−3ii3−i3002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000000000000000
χ904-4-44-2-200-222-22223−23−2323100-1-11−22222i3−2i303−30−33−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700000000−3i3i−i3i3002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000000000000000
χ914-4-44-2-200-222-222−232323−23100-1-1122−22−2i32i30−3303−32ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000−3i3ii3−i300−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ924-4-44-2-200-222-222−232323−23100-1-1122−222i3−2i30−3303−32ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000003i−3i−i3i300−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ934-4-44-2-200-222-222−232323−23100-1-11−2222−2i32i30−3303−3−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300000000−3i3ii3−i3002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000000000000000
χ944-4-44-2-200-222-222−232323−23100-1-11−22222i3−2i30−3303−3−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000003i−3i−i3i3002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000000000000000
χ9588-8-8-48004-88-8-440000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-40044-44-4443−4343−43200-22-200000−23230−232300000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-40044-44-44−4343−4343200-22-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-48-84-4444-4-4-4442002-2-200004-2-2-42200000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4-884-4444-444-4-42002-2-20000-4224-2-200000000000000000000000000000000000000000000000000000000000000000

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