Finite Group Databasebeta

← Group #11889744

Character table — Group #11889744

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444466888888888888888888888812121212121212121212121212121224242424242424242424242436364848727272
order12223344666666121212123446668812121212121212122424242422812121212121212242424242424242424242424242422244668812122424242444466681212122424441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-11-1-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-111-1-1-1
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
χ5111111111111111111111111-1-111111111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11-1-1111-1111-1-1-1-1-1-111-1
χ6111111111111111111111111-1-111111111-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-1111-1-1-11-1-1-1-11111-1-11
χ7111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-1-1111-1111111-1-1-1-11
χ8111111111111111111111111-1-111111111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-11-1-1-111-1-11111-1
χ91111111111111111111-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-11111111111-11-1-111-1-1-1-1-1-1111-11-1-1
χ101111111111111111111-1-1111111-1-111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-111111111111-11-1-1-1-1-111-1-1-1-1-11-111
χ111111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-11-1-111
χ121111111111111111111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-11-111-1-111111111-111-1-1
χ131111111111111111111-1-1111-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1111-111-1-111-1-1-1-1-1-11-1111-1-1-111-1-1-111-11
χ141111111111111111111-1-1111-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-111-1-111-1-1-1-111-1-1-1-11-11111111-1-11-1
χ151111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-111-1-11111-1-11111-11-1-1-1-111-11-11-1
χ161111111111111111111-1-1111-1-11-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-11-1-111-1-1111111-11-1-1-1111-1-1-1-11-11-11
χ17222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-2000022022-222-2-200000000000000200-2-22200-2-200000002000-200000000000
χ18222222-2-2222222-2-2-2-222-222200-2-2-2-2-2-2-2-20000-2-2022-222-2-200000000000000-20022-2-200220000000-2000200000000000
χ19222222-2-2222222-2-2-2-22-2222200-222-2-2-2-2-20000220-2-22-2-22200000000000000-200-222200-2-20000000-2000200000000000
χ20222222-2-2222222-2-2-2-22-2222200-222-2-2-2-2-20000-2-20-2-22-2-222000000000000002002-2-2-2002200000002000-200000000000
χ2122222-12222-1-12-12222-122-1-1-122-1-1-1-1-1-1-1-122220022-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10220000000000002220-1-100-1-10000-1-1000
χ2222222-12222-1-12-12222-122-1-1-122-1-1-1-1-1-1-1-122220022-12-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000000000-2-2-20110011000011000
χ2322222-12222-1-12-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-200-22-12-1-1-1-1-2-21111111111110220000000000002-2-20-1-100-1-1000011000
χ2422222-12222-1-12-12222-122-1-1-1-2-2-1-1-1-1-1-1-1-1-2-2-2-200-22-12-1-1-1-1-2-21111111111110-2-2000000000000-22201100110000-1-1000
χ2522222-12222-1-12-12222-1-2-2-1-1-122-111-1-1-1-1-1222200-2-21-21111-2-2-1-1-1-1-1-1111111022000000000000-22-20-1-100110000-11000
χ2622222-12222-1-12-12222-1-2-2-1-1-122-111-1-1-1-1-1222200-2-21-21111-2-2-1-1-1-1-1-11111110-2-20000000000002-2201100-1-100001-1000
χ2722222-12222-1-12-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-2002-21-2111122111111-1-1-1-1-1-1022000000000000-2-220-1-1001100001-1000
χ2822222-12222-1-12-12222-1-2-2-1-1-1-2-2-111-1-1-1-1-1-2-2-2-2002-21-2111122111111-1-1-1-1-1-10-2-200000000000022-201100-1-10000-11000
χ292222-1222-1-122-12-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1222-12-1-1-1-1-1-1-122-1-1-1-122-1-1-1-120022-1-122-1-1-1-1-1-1000-1002-100-1-10000000
χ302222-1222-1-122-12-1-1-1-1-122-1-1-122222-1-12-1-1-1-1-1-1-2-22-12-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-200-2-211-2-2111111000100-2100110000000
χ312222-1222-1-122-12-1-1-1-1-122-1-1-1-2-2222-1-12-1-1111122-2-12-1-1-1-1-111-2-21111-2-2111120022-1-1-2-2-1-11111000-100-2-100110000000
χ322222-1222-1-122-12-1-1-1-1-122-1-1-1-2-2222-1-12-1-11111-2-2-2-12-1-1-1-1-111-2-21111-2-21111-200-2-2112211-1-1-1-10001002100-1-10000000
χ332222-1222-1-122-12-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-122-21-2111111122-1-1-1-1-2-21111-2002-2-1-122-1-1-1-1-1-1000100-2100110000000
χ342222-1222-1-122-12-1-1-1-1-1-2-2-1-1-1222-2-2-1-12-1-1-1-1-1-1-2-2-21-2111111122-1-1-1-1-2-21111200-2211-2-2111111000-1002-100-1-10000000
χ352222-1222-1-122-12-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-111112221-211111-1-1-2-2111122-1-1-1-1-2002-2-1-1-2-2-1-111110001002100-1-10000000
χ362222-1222-1-122-12-1-1-1-1-1-2-2-1-1-1-2-22-2-2-1-12-1-11111-2-221-211111-1-1-2-2111122-1-1-1-1200-22112211-1-1-1-1000-100-2-100110000000
χ372222-12-2-2-1-122-121111-12-2-1-1-100-2-2-211-21133−3−3220-121-1-1113−30033−3−30033−3−3200-2-2-1-1001133−3−3000-10001003−30000000
χ382222-12-2-2-1-122-121111-12-2-1-1-100-2-2-211-21133−3−3-2-20-121-1-1113−30033−3−30033−3−3-200221100-1-1−3−3330001000-100−330000000
χ392222-12-2-2-1-122-121111-12-2-1-1-100-2-2-211-211−3−333220-121-1-111−3300−3−33300−3−333200-2-2-1-10011−3−333000-1000100−330000000
χ402222-12-2-2-1-122-121111-12-2-1-1-100-2-2-211-211−3−333-2-20-121-1-111−3300−3−33300−3−333-200221100-1-133−3−30001000-1003−30000000
χ412222-12-2-2-1-122-121111-1-22-1-1-100-22211-21133−3−32201-2-111-1-1−330033−3−300−3−333-200-22-1-1001133−3−30001000-100−330000000
χ422222-12-2-2-1-122-121111-1-22-1-1-100-22211-21133−3−3-2-201-2-111-1-1−330033−3−300−3−3332002-21100-1-1−3−333000-10001003−30000000
χ432222-12-2-2-1-122-121111-1-22-1-1-100-22211-211−3−3332201-2-111-1-13−300−3−3330033−3−3-200-22-1-10011−3−3330001000-1003−30000000
χ442222-12-2-2-1-122-121111-1-22-1-1-100-22211-211−3−333-2-201-2-111-1-13−300−3−3330033−3−32002-21100-1-133−3−3000-1000100−330000000
χ452-2-22222-2-2-22-22-222-2-22002-2-20020022-2-2-2000000000000000000000000000002-200002i−2i002i−2i2i−2i00002-20000002i−2i00000
χ462-2-22222-2-2-22-22-222-2-22002-2-20020022-2-2-2000000000000000000000000000002-20000−2i2i00−2i2i−2i2i00002-2000000−2i2i00000
χ472-2-22222-2-2-22-22-222-2-22002-2-20020022-2-2-200000000000000000000000000000-2200002i−2i002i−2i2i−2i0000-22000000−2i2i00000
χ482-2-22222-2-2-22-22-222-2-22002-2-20020022-2-2-200000000000000000000000000000-220000−2i2i00−2i2i−2i2i0000-220000002i−2i00000
χ4944444-2-4-444-2-24-2-4-4-4-4-24-4-2-2-2002222222200000004-2-4-2-222000000000000000000000000000000000000000000000000
χ5044444-2-4-444-2-24-2-4-4-4-4-2-44-2-2-2002-2-2222220000000-42422-2-2000000000000000000000000000000000000000000000000
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
χ534444-2-244-2-2-2-2-2-2-2-2-2-21-4-411144-22211-211-2-2-2-200-4222-1-1-1-122-2-2111122-1-1-1-10000000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-21-4-4111-4-4-22211-2112222004222-1-1-1-1-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2222214-411100222-1-12-1-12323−23−23000-2-2211-1-123−2300−3−33300−3−3330000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222214-411100222-1-12-1-1−23−232323000-2-2211-1-1−23230033−3−30033−3−30000000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-222221-44111002-2-2-1-12-1-12323−23−2300022-2-1-111−232300−3−3330033−3−30000000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-222221-44111002-2-2-1-12-1-1−23−23232300022-2-1-11123−230033−3−300−3−3330000000000000000000000000000000000
χ5944-4-444004-4-44-4-40000400-44-4000000000000004-40000000000000000000000000004-4000000000000000000000000000
χ6044-4-444004-4-44-4-40000400-44-400000000000000-44000000000000000000000000000-44000000000000000000000000000
χ6144-4-4-2400-22-442-423−2323−23-2002-220000023−23023−2300004-4000000000000000000000000000-220023−2300000000000000000000000
χ6244-4-4-2400-22-442-423−2323−23-2002-220000023−23023−230000-440000000000000000000000000002-200−232300000000000000000000000
χ6344-4-4-2400-22-442-4−2323−2323-2002-2200000−23230−232300004-4000000000000000000000000000-2200−232300000000000000000000000
χ6444-4-4-2400-22-442-4−2323−2323-2002-2200000−23230−23230000-440000000000000000000000000002-20023−2300000000000000000000000
χ654-44-44400-44-4-4-440000400-4-4422−220000000022−2222−2200000000000022−2222−2222−220000000000000000000000000000000000000000
χ664-44-44400-44-4-4-440000400-4-44−222200000000−2222−2222000000000000−2222−2222−22220000000000000000000000000000000000000000
χ674-44-44-200-4422-4-20000-20022-222−220−2i32i30000022−2222−2200000000−2i32i300−22−22−22i6−i6i6−i6i6−i60000000000000000000000000000000000
χ684-44-44-200-4422-4-20000-20022-222−2202i3−2i30000022−2222−22000000002i3−2i300−22−22−22−i6i6−i6i6−i6i60000000000000000000000000000000000
χ694-44-44-200-4422-4-20000-20022-2−22220−2i32i300000−2222−222200000000−2i32i3002−22−22−2−i6i6−i6i6−i6i60000000000000000000000000000000000
χ704-44-44-200-4422-4-20000-20022-2−222202i3−2i300000−2222−2222000000002i3−2i3002−22−22−2i6−i6i6−i6i6−i60000000000000000000000000000000000
χ714-44-4-24002-2-4-42423−23−2323-20022-222−2200023−230−23232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000
χ724-44-4-24002-2-4-42423−23−2323-20022-2−222200023−230−2323−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000
χ734-44-4-24002-2-4-424−232323−23-20022-222−22000−2323023−232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000
χ744-44-4-24002-2-4-424−232323−23-20022-2−2222000−2323023−23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000
χ754-44-4-2-2002-2222-223−23−2323100-1-1122−220−2i32i3−3303−32ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000003i−3ii3−i300−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ764-44-4-2-2002-2222-223−23−2323100-1-1122−2202i3−2i3−3303−32ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000000−3i3i−i3i300−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ774-44-4-2-2002-2222-223−23−2323100-1-11−22220−2i32i3−3303−3−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000003i−3ii3−i3002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ784-44-4-2-2002-2222-223−23−2323100-1-11−222202i3−2i3−3303−3−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000−3i3i−i3i3002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ794-44-4-2-2002-2222-2−232323−23100-1-1122−220−2i32i33−30−332ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000000−3i3ii3−i300−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ804-44-4-2-2002-2222-2−232323−23100-1-1122−2202i3−2i33−30−332ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000003i−3i−i3i300−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ814-44-4-2-2002-2222-2−232323−23100-1-11−22220−2i32i33−30−33−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000−3i3ii3−i3002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ824-44-4-2-2002-2222-2−232323−23100-1-11−222202i3−2i33−30−33−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000003i−3i−i3i3002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ834-4-4444-44-4-44-44-4-4-4444004-4-400-400-4-444400000000000000000000000000000000000000000000000000000000000000
χ844-4-444-24-4-4-4-224244-4-4-200-22200-200-2-2222000000000000000000000000000004-40000000000000000-220000000000000
χ854-4-444-24-4-4-4-224244-4-4-200-22200-200-2-222200000000000000000000000000000-4400000000000000002-20000000000000
χ864-4-444-2-44-4-4-2242-4-444-200-2220020022-2-2-200000000000000000000000000000000000000000000000000023−23000000000
χ874-4-444-2-44-4-4-2242-4-444-200-2220020022-2-2-2000000000000000000000000000000000000000000000000000−2323000000000
χ884-4-44-244-4224-4-2-4-2-222-200-22200400-2-2-422000000000000000000000000000000000004i−4i00−2i2i−2i2i0000000000000000000
χ894-4-44-244-4224-4-2-4-2-222-200-22200400-2-2-42200000000000000000000000000000000000−4i4i002i−2i2i−2i0000000000000000000
χ904-4-44-24-44224-4-2-422-2-2-200-22200-400224-2-2000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000
χ914-4-44-24-44224-4-2-422-2-2-200-22200-400224-2-20000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000
χ9288-8-88-4008-84-4-840000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-444-44443−4343−43200-22-200000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-400-444-444−4343−4343200-22-20000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-844-44-44-4-4442002-2-200-400224-2-200000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-8844-44-4444-4-42002-2-200400-2-2-42200000000000000000000000000000000000000000000000000000000000000

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