Finite Group Databasebeta

← Group #11884501

Character table — Group #11884501

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444466888888888888888888888812121212121212121212121212121224242424242424242424242436364848727272
order1222334466666612121212234666668812121212121224242424446668121212122424242424242424242424242424222446688121224242424224666681212242444612244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-111-1-1-1
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
χ511111111111111111111111111-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11-1-11111-111-1-1-1-1-1-1-111
χ611111111111111111111111111-1-1111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1-111-1-1-1-1-111-1-111111-1-1
χ711111111111111111111111111-1-1111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-1-111111-1-11111-1-11-1-1
χ811111111111111111111111111-1-1111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-11-1-111-1-111-111
χ9111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-11111111111-11-111-1-1-1-1-1-1-1111-1-1-11
χ10111111111111111111-11-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-111111111111-11-1-111-1-1-1-1-1-1-1-1111-1
χ11111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-111111-1-11-111-1
χ12111111111111111111-11-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1111111111-11-1-11
χ13111111111111111111-11-1-1-1111-1-1111111-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-1-1111111111-1-111-1-111-1-1-1-1-1-1111-1-11-1-111-1-1-111-11
χ14111111111111111111-11-1-1-1111-1-1111111-1-1-1-111-1-1-11-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-111-1-1-1-111-1-1-1111-1-111111-1-11-1
χ15111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-11111-1-111-1-11111-1-1111-1-1-111-1-111-11-11-1
χ16111111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-111-1-1111111-1-1-111-111-1-1-1-11-11-11
χ17222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-20000222220-2-2-2-200000000000000-200-22-2-200220000000000002-2000000000
χ18222222-2-2222222-2-2-2-222-22222200-2-2-2-2-2-20000-2-22220-2-2-2-2000000000000002002-22200-2-2000000000000-22000000000
χ19222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-2000022-2-2-20222200000000000000-2002-2-2-20022000000000000-22000000000
χ20222222-2-2222222-2-2-2-2-222-2-222200-2-2-2-2-2-20000-2-2-2-2-20222200000000000000200-222200-2-20000000000002-2000000000
χ2122222-122-1-1222-122222-12-1-1-1-1-122-1-1-1-1-1-12222002-1-12-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1022000000000000222-1-1-1-10000000-1-1000
χ2222222-122-1-1222-122222-12-1-1-1-1-122-1-1-1-1-1-12222002-1-12-12-1-122-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000000000-2-2-21111000000011000
χ2322222-122-1-1222-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-1-1-2-12-1-1-2-21111111111110220000000000002-2-2-1-1-1-1000000011000
χ2422222-122-1-1222-122222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2002-1-1-2-12-1-1-2-21111111111110-2-2000000000000-22211110000000-1-1000
χ2522222-122-1-1222-12222-2-1-211-1-1-122-1-1-1-1-1-1222200-211-21-211-2-2-1-1-1-1-1-1111111022000000000000-22-2-1-1110000000-11000
χ2622222-122-1-1222-12222-2-1-211-1-1-122-1-1-1-1-1-1222200-211-21-211-2-2-1-1-1-1-1-11111110-2-20000000000002-2211-1-100000001-1000
χ2722222-122-1-1222-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-21121-21122111111-1-1-1-1-1-1022000000000000-2-22-1-11100000001-1000
χ2822222-122-1-1222-12222-2-1-211-1-1-1-2-2-1-1-1-1-1-1-2-2-2-200-21121-21122111111-1-1-1-1-1-10-2-200000000000022-211-1-10000000-11000
χ292222-122222-1-1-12-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-122-1-1-122-1-1-1-1-122-1-1-1-122-1-1-1-120022-1-122-1-1-1-1-1-100000002-1-1-1-10000000
χ302222-122222-1-1-12-1-1-1-12-1222-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-200-2-211-2-21111110000000-211110000000
χ312222-122222-1-1-12-1-1-1-12-1222-1-1-1-2-222-1-1-1-1111122-1-1-1-22-1-1-111-2-21111-2-2111120022-1-1-2-2-1-111110000000-2-1-1110000000
χ322222-122222-1-1-12-1-1-1-12-1222-1-1-1-2-222-1-1-1-11111-2-2-1-1-1-22-1-1-111-2-21111-2-21111-200-2-2112211-1-1-1-10000000211-1-10000000
χ332222-122222-1-1-12-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-122111-2-21111122-1-1-1-1-2-21111200-2-2-1-122-1-1-1-1-1-10000000-211110000000
χ342222-122222-1-1-12-1-1-1-1-2-1-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-2-2111-2-21111122-1-1-1-1-2-21111-2002211-2-211111100000002-1-1-1-10000000
χ352222-122222-1-1-12-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-11111221112-2111-1-1-2-2111122-1-1-1-1200-2-2-1-1-2-2-1-111110000000211-1-10000000
χ362222-122222-1-1-12-1-1-1-1-2-1-2-2-2-1-1-1-2-222-1-1-1-11111-2-21112-2111-1-1-2-2111122-1-1-1-1-20022112211-1-1-1-10000000-2-1-1110000000
χ372222-12-2-222-1-1-1211112-1-222-1-1-100-2-2111133−3−322-1-1-10-21113−30033−3−30033−3−3-200-221100-1-133−3−300000000-113−30000000
χ382222-12-2-222-1-1-1211112-1-222-1-1-100-2-2111133−3−3-2-2-1-1-10-21113−30033−3−30033−3−32002-2-1-10011−3−333000000001-1−330000000
χ392222-12-2-222-1-1-1211112-1-222-1-1-100-2-21111−3−33322-1-1-10-2111−3300−3−33300−3−333-200-221100-1-1−3−33300000000-11−330000000
χ402222-12-2-222-1-1-1211112-1-222-1-1-100-2-21111−3−333-2-2-1-1-10-2111−3300−3−33300−3−3332002-2-1-1001133−3−3000000001-13−30000000
χ412222-12-2-222-1-1-121111-2-12-2-2-1-1-100-2-2111133−3−32211102-1-1-1−330033−3−300−3−333-2002-21100-1-133−3−3000000001-1−330000000
χ422222-12-2-222-1-1-121111-2-12-2-2-1-1-100-2-2111133−3−3-2-211102-1-1-1−330033−3−300−3−333200-22-1-10011−3−33300000000-113−30000000
χ432222-12-2-222-1-1-121111-2-12-2-2-1-1-100-2-21111−3−3332211102-1-1-13−300−3−3330033−3−3-2002-21100-1-1−3−333000000001-13−30000000
χ442222-12-2-222-1-1-121111-2-12-2-2-1-1-100-2-21111−3−333-2-211102-1-1-13−300−3−3330033−3−3200-22-1-1001133−3−300000000-11−330000000
χ452-2-2222-22-22-2-22-2-2-22202000-2-22002-222-2-2000000000000000000000000000002-200002-2002-22-20002-200000002-200000
χ462-2-2222-22-22-2-22-2-2-22202000-2-22002-222-2-2000000000000000000000000000002-20000-2200-22-220002-20000000-2200000
χ472-2-2222-22-22-2-22-2-2-22202000-2-22002-222-2-200000000000000000000000000000-2200002-2002-22-2000-220000000-2200000
χ482-2-2222-22-22-2-22-2-2-22202000-2-22002-222-2-200000000000000000000000000000-220000-2200-22-22000-2200000002-200000
χ4944444-2-4-4-2-2444-2-4-4-4-44-2-4-2-2-2-2-2002222220000004-2-202-422000000000000000000000000000000000000000000000000
χ5044444-2-4-4-2-2444-2-4-4-4-4-4-2422-2-2-200222222000000-4220-24-2-2000000000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-2-2-2-2414-2-211144-2-21111-2-2-2-200-2114-2-211-2-2-2-21111-2-211110000000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-2-2-2-2414-2-2111-4-4-2-21111222200-211-4-2-2112222-1-1-1-122-1-1-1-10000000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2-2-2-2-2-41-42211144-2-21111-2-2-2-2002-1-1-422-1-122-2-2111122-1-1-1-10000000000000000000000000000000000
χ544444-2-244-2-2-2-2-2-2-2-2-2-2-41-422111-4-4-2-211112222002-1-1422-1-1-2-222-1-1-1-1-2-211110000000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2222241-4-2-21110022-1-1-1-12323−23−2300-211022-1-123−2300−3−33300−3−3330000000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2222241-4-2-21110022-1-1-1-1−23−23232300-211022-1-1−23230033−3−30033−3−30000000000000000000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-22222-414221110022-1-1-1-12323−23−23002-1-10-2-211−232300−3−3330033−3−30000000000000000000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-22222-414221110022-1-1-1-1−23−232323002-1-10-2-21123−230033−3−300−3−3330000000000000000000000000000000000
χ5944-4-444004-44-4-4-40000040004-4-40000000000004i−4i00000000000000000000000000000004i−4i00000000000000000000000
χ6044-4-444004-44-4-4-40000040004-4-4000000000000−4i4i0000000000000000000000000000000−4i4i00000000000000000000000
χ6144-4-4-24004-4-222-423−2323−230-2000-222000023−2323−2300004i−4i000000000000000000000000000−2i32i300−2i2i00000000000000000000000
χ6244-4-4-24004-4-222-423−2323−230-2000-222000023−2323−230000−4i4i0000000000000000000000000002i3−2i3002i−2i00000000000000000000000
χ6344-4-4-24004-4-222-4−2323−23230-2000-2220000−2323−232300004i−4i0000000000000000000000000002i3−2i300−2i2i00000000000000000000000
χ6444-4-4-24004-4-222-4−2323−23230-2000-2220000−2323−23230000−4i4i000000000000000000000000000−2i32i3002i−2i00000000000000000000000
χ654-44-44400-4-4-44-44000004000-44-422−2200000022−2222−2200000000000022−2222−2222−220000000000000000000000000000000000000000
χ664-44-44400-4-4-44-44000004000-44-4−2222000000−2222−2222000000000000−2222−2222−22220000000000000000000000000000000000000000
χ674-44-44-20022-44-4-200000-20−2i32i32-2222−2200000022−2222−22000−2i32i30000000−22−22−22i6−i6i6−i6i6−i60000000000000000000000000000000000
χ684-44-44-20022-44-4-200000-20−2i32i32-22−2222000000−2222−2222000−2i32i300000002−22−22−2−i6i6−i6i6−i6i60000000000000000000000000000000000
χ694-44-44-20022-44-4-200000-202i3−2i32-2222−2200000022−2222−220002i3−2i30000000−22−22−22−i6i6−i6i6−i6i60000000000000000000000000000000000
χ704-44-44-20022-44-4-200000-202i3−2i32-22−2222000000−2222−22220002i3−2i300000002−22−22−2i6−i6i6−i6i6−i60000000000000000000000000000000000
χ714-44-4-2400-4-42-22423−23−23230-20002-2222−2200−232323−232ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300000000000022−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000000000000000000000000000000000000000
χ724-44-4-2400-4-42-22423−23−23230-20002-22−222200−232323−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000000000000−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000000000000000000000000000000000000000
χ734-44-4-2400-4-42-224−232323−230-20002-2222−220023−23−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700000000000022−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000000000000000000000000000000000000000
χ744-44-4-2400-4-42-224−232323−230-20002-22−22220023−23−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000000000000−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000
χ754-44-4-2-200222-22-223−23−2323010−2i32i3-11-122−22003−3−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000i3−i30003i−3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ764-44-4-2-200222-22-223−23−2323010−2i32i3-11-1−2222003−3−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000i3−i30003i−3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ774-44-4-2-200222-22-223−23−23230102i3−2i3-11-122−22003−3−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23000−i3i3000−3i3i00−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ784-44-4-2-200222-22-223−23−23230102i3−2i3-11-1−2222003−3−33−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23000−i3i3000−3i3i002−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ794-44-4-2-200222-22-2−232323−23010−2i32i3-11-122−2200−333−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000i3−i3000−3i3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ804-44-4-2-200222-22-2−232323−23010−2i32i3-11-1−222200−333−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000i3−i3000−3i3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ814-44-4-2-200222-22-2−232323−230102i3−2i3-11-122−2200−333−32ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7000−i3i30003i−3i00−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ824-44-4-2-200222-22-2−232323−230102i3−2i3-11-1−222200−333−3−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7000−i3i30003i−3i002−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ834-4-44444-4-44-4-44-444-4-404000-4-4400-44-4-44400000000000000000000000000000000000000000000000000000000000000
χ844-4-444-24-42-2-4-44244-4-40-200022-2002-222-2-2000000000000000000000000000000000000000000000000−2i32i3000000000000
χ854-4-444-24-42-2-4-44244-4-40-200022-2002-222-2-20000000000000000000000000000000000000000000000002i3−2i3000000000000
χ864-4-444-2-442-2-4-442-4-4440-200022-200-22-2-222000000000000000000000000000004-4000000000000000-2200000000000000
χ874-4-444-2-442-2-4-442-4-4440-200022-200-22-2-22200000000000000000000000000000-440000000000000002-200000000000000
χ884-4-44-244-4-4422-2-4-2-2220-200022-200-4422-2-200000000000000000000000000000000000000023−23−23230000000000000000000
χ894-4-44-244-4-4422-2-4-2-2220-200022-200-4422-2-2000000000000000000000000000000000000000−232323−230000000000000000000
χ904-4-44-24-44-4422-2-422-2-20-200022-2004-4-2-222000000000000000000000000000000000004-400-22-220000000000000000000
χ914-4-44-24-44-4422-2-422-2-20-200022-2004-4-2-22200000000000000000000000000000000000-44002-22-20000000000000000000
χ9288-8-88-400-448-8-8400000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-400-44-444443−4343−43020002-2-20000−2323−232300000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-400-44-4444−4343−4343020002-2-2000023−2323−2300000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-48-84-444-44-4-44402000-2-22004-4-2-22200000000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-4-884-444-4444-4-402000-2-2200-4422-2-200000000000000000000000000000000000000000000000000000000000000

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