Finite Group Databasebeta

← Group #11884263

Character table — Group #11884263

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222224444444444444444488888888888888888888888121212121212121212121212121212121212242424242424242424242436364848727272
order12223344446666661212121223666661212121212121212121266688121224242424242424242424242424242424222444888824242424242424244446661212121212221212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-111-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-11-1-111-1-1-11111-1-1-1-11
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-11111-1-11
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-11111-1
χ9111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1111-1-1111-1-11111-1-1-1-11-1-1111-1-11-1-1-1-11-11-11
χ10111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-111-111-1-1-111-1-1-1-111111-1-1-11111-1-1-1111-1-11-1
χ11111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1111-1-1-1-111111-11-11-1
χ12111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-111-1-1-111-111-1-1-111-11
χ13111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-11111-1-11111-1-11-1-111-111-1-1
χ14111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-111-111-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11-111
χ15111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-11-1-11-1-111-1-1-1-1111111-11-1-1-1-1111-1-11-1-111
χ16111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-111-111-1-11111-1-1-1-111-1-1-1-111-111111-11-1-1
χ1722222222-2-2222222-2-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-200220000000000000000002-22-20000000000000002002-2-2000000000
χ1822222222-2-2222222-2-2-2-2-22-2-22222222-2-2-2-2-2-2-2-2-20022000000000000000000-22-22000000000000000-200-222000000000
χ19222222-2-2-2-2222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222200-2-200000000000000000022-2-2000000000000000200-22-2000000000
χ20222222-2-2-2-2222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-222200-2-2000000000000000000-2-222000000000000000-2002-22000000000
χ2122222-12222-1222-1-122222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200000000000000002220-1-1000-1-100-1-1000
χ2222222-12222-1222-1-122222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000000000-2-2-2011000110011000
χ2322222-12222-1222-1-122222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111220000000000000000-22-20-1-1000-1-10011000
χ2422222-12222-1222-1-122222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-2-200000000000000002-220110001100-1-1000
χ2522222-1-2-222-1222-1-12222-2-1-2-2-1-1-1-2-211-1-1-1-1-1-11112-21122-2-2-1-1-1-1-1-11111112200000000000000002-2-20-1-10001100-11000
χ2622222-1-2-222-1222-1-12222-2-1-2-2-1-1-1-2-211-1-1-1-1-1-11112-21122-2-2-1-1-1-1-1-1111111-2-20000000000000000-222011000-1-1001-1000
χ2722222-1-2-222-1222-1-12222-2-1-2-2-1-1-1-2-211-1-1-1-1-1-1111-2211-2-222111111-1-1-1-1-1-1220000000000000000-2-220-1-100011001-1000
χ2822222-1-2-222-1222-1-12222-2-1-2-2-1-1-1-2-211-1-1-1-1-1-1111-2211-2-222111111-1-1-1-1-1-1-2-2000000000000000022-2011000-1-100-11000
χ292222-1222222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-10022222222-1-1-1-1-1-1-1-1000-100-1-1-1000000000
χ302222-1222222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-2-2-2-2-2-2-211111111000100111000000000
χ312222-1222222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-2-2-1-11111-2-21111-2-21111002222-2-2-2-211111111000-100-1-1-1000000000
χ322222-1222222-1-1-122-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-12-1-1-2-2-1-11111-2-21111-2-2111100-2-2-2-22222-1-1-1-1-1-1-1-1000100111000000000
χ332222-1222-2-22-1-1-1221111-2-111-1-1-1-1-122-2-21111-21100-1-13−33−30033−3−30033−3−3002-22-2000033−3−333−3−3000-100-111000000000
χ342222-1222-2-22-1-1-1221111-2-111-1-1-1-1-122-2-21111-21100-1-13−33−30033−3−30033−3−300-22-220000−3−333−3−3330001001-1-1000000000
χ352222-1222-2-22-1-1-1221111-2-111-1-1-1-1-122-2-21111-21100-1-1−33−3300−3−33300−3−333002-22-20000−3−333−3−333000-100-111000000000
χ362222-1222-2-22-1-1-1221111-2-111-1-1-1-1-122-2-21111-21100-1-1−33−3300−3−33300−3−33300-22-22000033−3−333−3−30001001-1-1000000000
χ372222-12-2-2222-1-1-122-1-1-1-1-2-111-1-1-111-2-222-1-1-1-1-2112-211-1-11122-1-1-1-1-2-21111002-2-2222-2-2-1-1-1-11111000-10011-1000000000
χ382222-12-2-2222-1-1-122-1-1-1-1-2-111-1-1-111-2-222-1-1-1-1-2112-211-1-11122-1-1-1-1-2-2111100-222-2-2-2221111-1-1-1-1000100-1-11000000000
χ392222-12-2-2222-1-1-122-1-1-1-1-2-111-1-1-111-2-222-1-1-1-1-211-221111-1-1-2-2111122-1-1-1-1002-2-22-2-2221111-1-1-1-1000-10011-1000000000
χ402222-12-2-2222-1-1-122-1-1-1-1-2-111-1-1-111-2-222-1-1-1-1-211-221111-1-1-2-2111122-1-1-1-100-222-222-2-2-1-1-1-11111000100-1-11000000000
χ412222-12-2-2-2-22-1-1-12211112-1-1-1-1-1-111-2-2-2-211112-1-100113−3−330033−3−300−3−3330022-2-2000033−3−3−3−333000-1001-11000000000
χ422222-12-2-2-2-22-1-1-12211112-1-1-1-1-1-111-2-2-2-211112-1-100113−3−330033−3−300−3−33300-2-2220000−3−33333−3−3000100-11-1000000000
χ432222-12-2-2-2-22-1-1-12211112-1-1-1-1-1-111-2-2-2-211112-1-10011−333−300−3−3330033−3−30022-2-20000−3−33333−3−3000-1001-11000000000
χ442222-12-2-2-2-22-1-1-12211112-1-1-1-1-1-111-2-2-2-211112-1-10011−333−300−3−3330033−3−300-2-222000033−3−3−3−333000100-11-1000000000
χ452-2-222200-22-2-2-22-22-2-2220200-2-2200002-222-2-2000000000000000000000002-20000002-200002-22-200002-2000002-200000
χ462-2-222200-22-2-2-22-22-2-2220200-2-2200002-222-2-2000000000000000000000002-2000000-220000-22-2200002-200000-2200000
χ472-2-222200-22-2-2-22-22-2-2220200-2-2200002-222-2-200000000000000000000000-220000002-200002-22-20000-2200000-2200000
χ482-2-222200-22-2-2-22-22-2-2220200-2-2200002-222-2-200000000000000000000000-22000000-220000-22-220000-22000002-200000
χ4944444-244-4-4-2444-2-2-4-4-4-4-4-2-4-4-2-2-244-2-222222222200-2-20000000000000000000000000000000000000000000000000000
χ5044444-2-4-4-4-4-2444-2-2-4-4-4-44-244-2-2-2-4-422222222-2-2-200220000000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2111-2-2-2-2-2-21111-2114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2111-2-2-2-2-2-21111-211-4-411222222-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-22222-4122111-2-2-2-222-1-1-1-12-1-1001123−2323−2300−3−33300−3−333000000000000000000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-22222-4122111-2-2-2-222-1-1-1-12-1-10011−2323−23230033−3−30033−3−3000000000000000000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-41221112222-2-211112-1-14-4-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-41221112222-2-211112-1-1-44-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2111222222-1-1-1-1-21100-1-123−23−232300−3−3330033−3−3000000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2111222222-1-1-1-1-21100-1-1−232323−230033−3−300−3−333000000000000000000000000000000000000
χ5944-4-4444i−4i00-44-4-44-4000004004-4-44i−4i4i−4i000000000004i−4i0000000000000000000000000000000000000000000000000000
χ6044-4-444−4i4i00-44-4-44-4000004004-4-4−4i4i−4i4i00000000000−4i4i0000000000000000000000000000000000000000000000000000
χ6144-4-44-24i−4i0024-4-4-2200000-200-2224i−4i−2i2i00000000000−2i2i0000i6−i6i6−i6i6−i66−66−66−6000000000000000000000000000000000000
χ6244-4-44-24i−4i0024-4-4-2200000-200-2224i−4i−2i2i00000000000−2i2i0000−i6i6−i6i6−i6i6−66−66−66000000000000000000000000000000000000
χ6344-4-44-2−4i4i0024-4-4-2200000-200-222−4i4i2i−2i000000000002i−2i0000i6−i6i6−i6i6−i6−66−66−66000000000000000000000000000000000000
χ6444-4-44-2−4i4i0024-4-4-2200000-200-222−4i4i2i−2i000000000002i−2i0000−i6i6−i6i6−i6i66−66−66−6000000000000000000000000000000000000
χ6544-4-4-244i−4i00-4-2224-423−2323−230-2−2i32i3-222−2i2i4i−4i0023−2323−230−2i32i300−2i2i0000000000000000000000000000000000000000000000000000
χ6644-4-4-244i−4i00-4-2224-4−2323−23230-22i3−2i3-222−2i2i4i−4i00−2323−232302i3−2i300−2i2i0000000000000000000000000000000000000000000000000000
χ6744-4-4-24−4i4i00-4-2224-423−2323−230-22i3−2i3-2222i−2i−4i4i0023−2323−2302i3−2i3002i−2i0000000000000000000000000000000000000000000000000000
χ6844-4-4-24−4i4i00-4-2224-4−2323−23230-2−2i32i3-2222i−2i−4i4i00−2323−23230−2i32i3002i−2i0000000000000000000000000000000000000000000000000000
χ6944-4-4-2-24i−4i002-222-2223−2323−2301−2i32i31-1-1−2i2i−2i2i00−33−330i3−i300i−i0000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000000
χ7044-4-4-2-24i−4i002-222-2223−2323−2301−2i32i31-1-1−2i2i−2i2i00−33−330i3−i300i−i0000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000000
χ7144-4-4-2-24i−4i002-222-22−2323−2323012i3−2i31-1-1−2i2i−2i2i003−33−30−i3i300i−i0000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000000
χ7244-4-4-2-24i−4i002-222-22−2323−2323012i3−2i31-1-1−2i2i−2i2i003−33−30−i3i300i−i0000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000000
χ7344-4-4-2-2−4i4i002-222-2223−2323−23012i3−2i31-1-12i−2i2i−2i00−33−330−i3i300−ii0000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000000
χ7444-4-4-2-2−4i4i002-222-2223−2323−23012i3−2i31-1-12i−2i2i−2i00−33−330−i3i300−ii0000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000000
χ7544-4-4-2-2−4i4i002-222-22−2323−232301−2i32i31-1-12i−2i2i−2i003−33−30i3−i300−ii0000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000000
χ7644-4-4-2-2−4i4i002-222-22−2323−232301−2i32i31-1-12i−2i2i−2i003−33−30i3−i300−ii0000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000000
χ774-44-44400004-44-4-4-400000400-44-4000000000000000000000000000000000000000−2i22i200−2i22i2−2i22i20000000000000000000000
χ784-44-44400004-44-4-4-400000400-44-40000000000000000000000000000000000000002i2−2i2002i2−2i22i2−2i20000000000000000000000
χ794-44-4-24000042-22-4-423−23−23230-2002-22000000−232323−2300000000000000000000000000000−2i22i2002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000000
χ804-44-4-24000042-22-4-423−23−23230-2002-22000000−232323−23000000000000000000000000000002i2−2i200−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000000
χ814-44-4-24000042-22-4-4−232323−230-2002-2200000023−23−232300000000000000000000000000000−2i22i2002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000000
χ824-44-4-24000042-22-4-4−232323−230-2002-2200000023−23−2323000000000000000000000000000002i2−2i200−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000000
χ834-4-4444004-4-4-4-44-4444-4-40400-4-440000-44-4-44400000000000000000000000000000000000000000000000000000000000
χ844-4-444-2004-42-4-442-244-4-40-20022-200002-222-2-200000000000000000000000000000000000000000000000000−2i32i30000000
χ854-4-444-2004-42-4-442-244-4-40-20022-200002-222-2-2000000000000000000000000000000000000000000000000002i3−2i30000000
χ864-4-444-200-442-4-442-2-4-4440-20022-20000-22-2-222000000000000000000000004-400000000000000000000-22000000000000
χ874-4-444-200-442-4-442-2-4-4440-20022-20000-22-2-22200000000000000000000000-44000000000000000000002-2000000000000
χ884-4-44-24004-4-422-2-44-2-2220-20022-20000-4422-2-2000000000000000000000000000000000000023−23−2323000000000000000000
χ894-4-44-24004-4-422-2-44-2-2220-20022-20000-4422-2-20000000000000000000000000000000000000−232323−23000000000000000000
χ904-4-44-2400-44-422-2-4422-2-20-20022-200004-4-2-22200000000000000000000000000000004-40000-22-22000000000000000000
χ914-4-44-2400-44-422-2-4422-2-20-20022-200004-4-2-2220000000000000000000000000000000-4400002-22-2000000000000000000
χ928-88-88-40000-4-88-84400000-4004-44000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000-44-444443−43−43430200-22-200000023−23−232300000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-40000-44-4444−434343−430200-22-2000000−232323−2300000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4008-8444-44-4-4-4440200-2-2200004-4-2-22200000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400-88444-44-444-4-40200-2-220000-4422-2-200000000000000000000000000000000000000000000000000000000000

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