Finite Group Databasebeta

← Group #11864163

Character table — Group #11864163

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order1222334444666666121212122366666121212121212121212122222446668812122424242424242424242424242424242422444666612121212246688121224242424224461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1
χ9111111-1-1111111111111-11-1-1111-1-1-1-111111111-1-111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-111-1-1-111-1-111-1-11-1111-1-1-111-1-1-1-1111-11-1
χ10111111-1-1111111111111-11-1-1111-1-1-1-111111111-1-111-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-11-1-11-11111-1-111-1-1-11-11
χ11111111-1-1111111111111-11-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-111111111-1-1-111-1-111-1-1-1111-11-1-1-1-111-1-111-11-11
χ12111111-1-1111111111111-11-1-1111-1-1-1-111111111-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-11111-1-111-1-11-1-1-1-1111-1-11111-1-11-11-1
χ13111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-111-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-1111-111-11-1-1-1-11111-1-11-1-11
χ14111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-111-1-1-1-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-111-1-111-11-1-1-1111-1-111-1-111-111-1
χ15111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111-1-111-11111-1-1-111-1-111-1-1-111-1
χ16111111-1-1111111111111-11-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-111-1-1111-1-1-11-11111-1-1-1-1111-1-11
χ1722222222-2-2222222-2-2-2-2-22-2-22222222-2-2-2-2-2-222-2-2-2-2-2-2-2002200000000000000000020022-2-2-2-22200000000000000000000
χ1822222222-2-2222222-2-2-2-2-22-2-22222222-2-2-2-2-2-2-2-22222-2-2-20022000000000000000000-200-2-22222-2-200000000000000000000
χ19222222-2-2-2-2222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-222200-2-2000000000000000000-2002222-2-2-2-200000000000000000000
χ20222222-2-2-2-2222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222200-2-2000000000000000000200-2-2-2-2222200000000000000000000
χ2122222-1222222-1-12-122222-122-1-1-122-1-1-1-1-1-1-1-1000000-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220220000000022-1-100-1-100000000-1-100
χ2222222-1222222-1-12-122222-122-1-1-122-1-1-1-1-1-1-1-1000000-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200000000-2-2110011000000001100
χ2322222-1222222-1-12-122222-122-1-1-122-1-1-1-1-1-1-1-1000000-1-1-1-2-2-1-1-2-2-2-21111111111112202200000000-2-2-1-100-1-1000000001100
χ2422222-1222222-1-12-122222-122-1-1-122-1-1-1-1-1-1-1-1000000-1-1-1-2-2-1-1-2-2-2-2111111111111-2-20-2-2000000002211001100000000-1-100
χ2522222-1-2-22222-1-12-12222-2-1-2-2-1-1-1-2-211-1-1-1-1-1-10000001112-21122-2-2-1-1-1-1-1-1111111220-2-2000000002-2-1-1001100000000-1100
χ2622222-1-2-22222-1-12-12222-2-1-2-2-1-1-1-2-211-1-1-1-1-1-10000001112-21122-2-2-1-1-1-1-1-1111111-2-202200000000-221100-1-1000000001-100
χ2722222-1-2-22222-1-12-12222-2-1-2-2-1-1-1-2-211-1-1-1-1-1-1000000111-2211-2-222111111-1-1-1-1-1-1220-2-200000000-22-1-10011000000001-100
χ2822222-1-2-22222-1-12-12222-2-1-2-2-1-1-1-2-211-1-1-1-1-1-1000000111-2211-2-222111111-1-1-1-1-1-1-2-2022000000002-21100-1-100000000-1100
χ292222-122222-1-122-12-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-12222222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100200-1-1-1-1-1-1-1-100002200-1-1-1-100000000
χ302222-122222-1-122-12-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-12222222-1-1-2-2-1-11111-2-21111-2-2111100200-1-1-1-1-1-1-1-10000-2-200111100000000
χ312222-122222-1-122-12-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-22-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100-200111111110000-2-200111100000000
χ322222-122222-1-122-12-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-22-1-1-2-2-1-11111-2-21111-2-2111100-2001111111100002200-1-1-1-100000000
χ332222-1222-2-2-1-122-121111-2-111-1-1-1-1-122-2-2111122-2-2-2-2-21100-1-13−33−30033−3−30033−3−300200-1-11111-1-1000000003−33−300000000
χ342222-1222-2-2-1-122-121111-2-111-1-1-1-1-122-2-2111122-2-2-2-2-21100-1-1−33−3300−3−33300−3−33300200-1-11111-1-100000000−33−3300000000
χ352222-1222-2-2-1-122-121111-2-111-1-1-1-1-122-2-21111-2-22222-21100-1-13−33−30033−3−30033−3−300-20011-1-1-1-11100000000−33−3300000000
χ362222-1222-2-2-1-122-121111-2-111-1-1-1-1-122-2-21111-2-22222-21100-1-1−33−3300−3−33300−3−33300-20011-1-1-1-111000000003−33−300000000
χ372222-12-2-222-1-122-12-1-1-1-1-2-111-1-1-111-2-222-1-1-1-122-2-222-2112-211-1-11122-1-1-1-1-2-2111100-200-1-111-1-11100002-200-1-11100000000
χ382222-12-2-222-1-122-12-1-1-1-1-2-111-1-1-111-2-222-1-1-1-122-2-222-211-221111-1-1-2-2111122-1-1-1-100-200-1-111-1-1110000-220011-1-100000000
χ392222-12-2-222-1-122-12-1-1-1-1-2-111-1-1-111-2-222-1-1-1-1-2-222-2-2-2112-211-1-11122-1-1-1-1-2-211110020011-1-111-1-10000-220011-1-100000000
χ402222-12-2-222-1-122-12-1-1-1-1-2-111-1-1-111-2-222-1-1-1-1-2-222-2-2-211-221111-1-1-2-2111122-1-1-1-10020011-1-111-1-100002-200-1-11100000000
χ412222-12-2-2-2-2-1-122-1211112-1-1-1-1-1-111-2-2-2-211112222-2-22-1-100113−3−330033−3−300−3−33300-200-1-1-1-11111000000003−3−3300000000
χ422222-12-2-2-2-2-1-122-1211112-1-1-1-1-1-111-2-2-2-211112222-2-22-1-10011−333−300−3−3330033−3−300-200-1-1-1-1111100000000−333−300000000
χ432222-12-2-2-2-2-1-122-1211112-1-1-1-1-1-111-2-2-2-21111-2-2-2-2222-1-100113−3−330033−3−300−3−333002001111-1-1-1-100000000−333−300000000
χ442222-12-2-2-2-2-1-122-1211112-1-1-1-1-1-111-2-2-2-21111-2-2-2-2222-1-10011−333−300−3−3330033−3−3002001111-1-1-1-1000000003−3−3300000000
χ452-2-2222002-2-2-2-2-22222-2-20200-2-2200002-222-2-22-2002-2000000000000000000000002-20002-2002-200002-200000000002-20000
χ462-2-2222002-2-2-2-2-22222-2-20200-2-2200002-222-2-22-2002-200000000000000000000000-220002-2002-20000-220000000000-220000
χ472-2-2222002-2-2-2-2-22222-2-20200-2-2200002-222-2-2-2200-22000000000000000000000002-2000-2200-2200002-20000000000-220000
χ482-2-2222002-2-2-2-2-22222-2-20200-2-2200002-222-2-2-2200-2200000000000000000000000-22000-2200-220000-2200000000002-20000
χ492-2-222200-22-2-2-2-222-2-2220200-2-220000-22-2-2222-200-22000000000000000000000000002-22-200-22000000002-200002-2000000
χ502-2-222200-22-2-2-2-222-2-2220200-2-220000-22-2-2222-200-2200000000000000000000000000-222-200-2200000000-220000-22000000
χ512-2-222200-22-2-2-2-222-2-2220200-2-220000-22-2-222-22002-2000000000000000000000000002-2-22002-2000000002-20000-22000000
χ522-2-222200-22-2-2-2-222-2-2220200-2-220000-22-2-222-22002-200000000000000000000000000-22-22002-200000000-2200002-2000000
χ5344444-244-4-444-2-24-2-4-4-4-4-4-2-4-4-2-2-244-2-222222200000022200-2-20000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-444-2-24-2-4-4-4-44-244-2-2-2-4-422222222000000-2-2-200220000000000000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2111-2-2-2-2-2-21111000000-2114411-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ564444-2-24444-2-2-2-2-2-2-2-2-2-241-2-2111-2-2-2-2-2-21111000000-211-4-411222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ574444-2-244-4-4-2-2-2-2-2-22222-4122111-2-2-2-222-1-1-1-10000002-1-1001123−2323−2300−3−33300−3−333000000000000000000000000000000000
χ584444-2-244-4-4-2-2-2-2-2-22222-4122111-2-2-2-222-1-1-1-10000002-1-10011−2323−23230033−3−30033−3−3000000000000000000000000000000000
χ594444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-41221112222-2-211110000002-1-14-4-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000
χ604444-2-2-4-444-2-2-2-2-2-2-2-2-2-2-41221112222-2-211110000002-1-1-44-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2111222222-1-1-1-1000000-21100-1-123−23−232300−3−3330033−3−3000000000000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-2222241-2-2111222222-1-1-1-1000000-21100-1-1−232323−230033−3−300−3−333000000000000000000000000000000000
χ6344-4-4444i−4i004-44-4-4-4000004004-4-44i−4i4i−4i000000000000000004i−4i0000000000000000000000000000000000000000000000000
χ6444-4-444−4i4i004-44-4-4-4000004004-4-4−4i4i−4i4i00000000000000000−4i4i0000000000000000000000000000000000000000000000000
χ6544-4-44-24i−4i004-4-22-4200000-200-2224i−4i−2i2i00000000000000000−2i2i0000i6−i6i6−i6i6−i66−66−66−6000000000000000000000000000000000
χ6644-4-44-24i−4i004-4-22-4200000-200-2224i−4i−2i2i00000000000000000−2i2i0000−i6i6−i6i6−i6i6−66−66−66000000000000000000000000000000000
χ6744-4-44-2−4i4i004-4-22-4200000-200-222−4i4i2i−2i000000000000000002i−2i0000i6−i6i6−i6i6−i6−66−66−66000000000000000000000000000000000
χ6844-4-44-2−4i4i004-4-22-4200000-200-222−4i4i2i−2i000000000000000002i−2i0000−i6i6−i6i6−i6i66−66−66−6000000000000000000000000000000000
χ6944-4-4-244i−4i00-224-42-423−2323−230-2−2i32i3-222−2i2i4i−4i0023−2323−230000000−2i32i300−2i2i0000000000000000000000000000000000000000000000000
χ7044-4-4-244i−4i00-224-42-4−2323−23230-22i3−2i3-222−2i2i4i−4i00−2323−232300000002i3−2i300−2i2i0000000000000000000000000000000000000000000000000
χ7144-4-4-24−4i4i00-224-42-423−2323−230-22i3−2i3-2222i−2i−4i4i0023−2323−2300000002i3−2i3002i−2i0000000000000000000000000000000000000000000000000
χ7244-4-4-24−4i4i00-224-42-4−2323−23230-2−2i32i3-2222i−2i−4i4i00−2323−23230000000−2i32i3002i−2i0000000000000000000000000000000000000000000000000
χ7344-4-4-2-24i−4i00-22-222223−2323−2301−2i32i31-1-1−2i2i−2i2i00−33−330000000i3−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−ζ23000000000000000000000000000000000
χ7444-4-4-2-24i−4i00-22-222223−2323−2301−2i32i31-1-1−2i2i−2i2i00−33−330000000i3−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+ζ23000000000000000000000000000000000
χ7544-4-4-2-24i−4i00-22-2222−2323−2323012i3−2i31-1-1−2i2i−2i2i003−33−30000000−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+2ζ23000000000000000000000000000000000
χ7644-4-4-2-24i−4i00-22-2222−2323−2323012i3−2i31-1-1−2i2i−2i2i003−33−30000000−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+2ζ13−2ζ23000000000000000000000000000000000
χ7744-4-4-2-2−4i4i00-22-222223−2323−23012i3−2i31-1-12i−2i2i−2i00−33−330000000−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+ζ23000000000000000000000000000000000
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χ7944-4-4-2-2−4i4i00-22-2222−2323−232301−2i32i31-1-12i−2i2i−2i003−33−30000000i3−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+2ζ13−2ζ23000000000000000000000000000000000
χ8044-4-4-2-2−4i4i00-22-2222−2323−232301−2i32i31-1-12i−2i2i−2i003−33−30000000i3−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+2ζ23000000000000000000000000000000000
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χ854-44-4-2400002-2-442-4−232323−230-2002-22000000−232323−23004-400000000000000000000000000000000-2200−232300000000000000000000
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χ958-88-88-40000-884-4-8400000-4004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-400004-44-44443−43−43430200-22-2000000−232323−2300000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-400004-44-444−434343−430200-22-200000023−23−232300000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4008-84444-4-4-4-4440200-2-220000-4422-2-200000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400-884444-4-444-4-40200-2-2200004-4-2-22200000000000000000000000000000000000000000000000000000000000000

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