Finite Group Databasebeta

← Group #11868768

Character table — Group #11868768

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order12223344446666661212121234666121212121212121212121212224444881212121212242424242424242424242424242424244444466121212121212448812121212242424244444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ91111111-1-1111111111111-1111-1-1-1-11-1-1111111111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11-1-11
χ101111111-1-1111111111111-1111-1-1-1-11-1-1111111111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-111-1
χ111111111-1-1111111111111-1111-1-1-1-11-1-1111111111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-11-1111-1-1-1-11111-1-1-111-1
χ121111111-1-1111111111111-1111-1-1-1-11-1-1111111111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11-1-11-1-111-1-111-1-1111-1-11
χ131111111-1-1111111111111-1111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1111-11-1
χ141111111-1-1111111111111-1111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-11-11-1-111-1-11111-1-1-11-11
χ151111111-1-1111111111111-1111-1-1-1-11-1-111111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-111-111-1-111-1-1-1-111-11-11
χ161111111-1-1111111111111-1111-1-1-1-11-1-111111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-1-1-11111-1-111-1-11-11-1
χ17222222-222-2222222-2-2-2-22-222222-2-2-222-2-2-2-2-222-2-22200-222-2-2000000000000000000-20022-2-222-2-200000000000000000000
χ18222222-222-2222222-2-2-2-22-222222-2-2-222-2-2-2-2-2-2-222-2-200-222-2-2000000000000000000200-2-222-2-22200000000000000000000
χ19222222-2-2-2-2222222-2-2-2-222222-2-222-2-2-2-2-2-2-2-222-2-2-2-2002-2-22200000000000000000020022-2-2-2-22200000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-22222002-2-222000000000000000000-200-2-22222-2-200000000000000000000
χ2122222-12222-1-1-1222-1-1-1-1-12-1-1-1-1-1-1-1222-1-12-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100200-1-1-1-1-1-1-1-100220000-1-1-1-100000000
χ2222222-12222-1-1-1222-1-1-1-1-12-1-1-1-1-1-1-1222-1-12-1-1222222-2-22-1-1-1-11111-2-21111-2-2111100200-1-1-1-1-1-1-1-100-2-20000111100000000
χ2322222-12222-1-1-1222-1-1-1-1-12-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-2222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2001111111100-2-20000111100000000
χ2422222-12222-1-1-1222-1-1-1-1-12-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-2-2-22-1-1-1-11111-2-21111-2-2111100-2001111111100220000-1-1-1-100000000
χ2522222-12-2-22-1-1-1222-1-1-1-1-1-2-1-1-111112-2-2-1-12-1-12222-2-22-2-21111-1-11122-1-1-1-1-2-2111100-200-1-1-1-11111002-20000-1-11100000000
χ2622222-12-2-22-1-1-1222-1-1-1-1-1-2-1-1-111112-2-2-1-12-1-12222-2-2-22-2111111-1-1-2-2111122-1-1-1-100-200-1-1-1-1111100-22000011-1-100000000
χ2722222-12-2-22-1-1-1222-1-1-1-1-1-2-1-1-111112-2-2-1-12-1-1-2-2-2-2222-2-21111-1-11122-1-1-1-1-2-21111002001111-1-1-1-100-22000011-1-100000000
χ2822222-12-2-22-1-1-1222-1-1-1-1-1-2-1-1-111112-2-2-1-12-1-1-2-2-2-222-22-2111111-1-1-2-2111122-1-1-1-1002001111-1-1-1-1002-20000-1-11100000000
χ2922222-1-222-2-1-1-12221111-1-2-1-1-1-1-111-22211-21122-2-22200-2-1-1113−33−30033−3−30033−3−300-200-1-111-1-111000000003−33−300000000
χ3022222-1-222-2-1-1-12221111-1-2-1-1-1-1-111-22211-21122-2-22200-2-1-111−33−3300−3−33300−3−33300-200-1-111-1-11100000000−33−3300000000
χ3122222-1-222-2-1-1-12221111-1-2-1-1-1-1-111-22211-211-2-222-2-200-2-1-1113−33−30033−3−30033−3−30020011-1-111-1-100000000−33−3300000000
χ3222222-1-222-2-1-1-12221111-1-2-1-1-1-1-111-22211-211-2-222-2-200-2-1-111−33−3300−3−33300−3−3330020011-1-111-1-1000000003−33−300000000
χ3322222-1-2-2-2-2-1-1-12221111-12-1-1-111-1-1-2-2-211-21122-2-2-2-200211-1-13−3−330033−3−300−3−33300200-1-11111-1-1000000003−3−3300000000
χ3422222-1-2-2-2-2-1-1-12221111-12-1-1-111-1-1-2-2-211-21122-2-2-2-200211-1-1−333−300−3−3330033−3−300200-1-11111-1-100000000−333−300000000
χ3522222-1-2-2-2-2-1-1-12221111-12-1-1-111-1-1-2-2-211-211-2-2222200211-1-13−3−330033−3−300−3−33300-20011-1-1-1-11100000000−333−300000000
χ3622222-1-2-2-2-2-1-1-12221111-12-1-1-111-1-1-2-2-211-211-2-2222200211-1-1−333−300−3−3330033−3−300-20011-1-1-1-111000000003−3−3300000000
χ372222-122222222-1-1-12222-12-1-1-12222-1-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122022000000002200-1-1-1-100000000-1-100
χ382222-122222222-1-1-12222-12-1-1-12222-1-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200000000-2-2001111000000001100
χ392222-122222222-1-1-12222-12-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-21111111111112202200000000-2-200-1-1-1-1000000001100
χ402222-122222222-1-1-12222-12-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-2111111111111-2-20-2-2000000002200111100000000-1-100
χ412222-122-2-22222-1-1-12222-1-2-1-1-1-2-2-2-2-111-1-1-1-1-10000002-21111122-2-2-1-1-1-1-1-1111111220-2-2000000002-200-1-11100000000-1100
χ422222-122-2-22222-1-1-12222-1-2-1-1-1-2-2-2-2-111-1-1-1-1-10000002-21111122-2-2-1-1-1-1-1-1111111-2-202200000000-220011-1-1000000001-100
χ432222-122-2-22222-1-1-12222-1-2-1-1-1-2-2-2-2-111-1-1-1-1-1000000-2211111-2-222111111-1-1-1-1-1-1220-2-200000000-2200-1-111000000001-100
χ442222-122-2-22222-1-1-12222-1-2-1-1-1-2-2-2-2-111-1-1-1-1-1000000-2211111-2-222111111-1-1-1-1-1-1-2-2022000000002-20011-1-100000000-1100
χ4522-2-222200-22-2-22-2-222-2-2202-2-2000020022-2-2-22-22-200000000000000000000000002-20002-22-2000000002-20000002-2000000
χ4622-2-222200-22-2-22-2-222-2-2202-2-2000020022-2-2-22-22-20000000000000000000000000-220002-22-200000000-22000000-22000000
χ4722-2-222200-22-2-22-2-222-2-2202-2-2000020022-2-2-2-22-2200000000000000000000000002-2000-22-22000000002-2000000-22000000
χ4822-2-222200-22-2-22-2-222-2-2202-2-2000020022-2-2-2-22-220000000000000000000000000-22000-22-2200000000-220000002-2000000
χ4922-2-222-20022-2-22-2-2-2-222202-2-20000-200-2-22222-2-2200000000000000000000000000002i−2i2-2-2200000000002i−2i0000002i−2i0000
χ5022-2-222-20022-2-22-2-2-2-222202-2-20000-200-2-22222-2-220000000000000000000000000000−2i2i2-2-220000000000−2i2i000000−2i2i0000
χ5122-2-222-20022-2-22-2-2-2-222202-2-20000-200-2-2222-222-200000000000000000000000000002i−2i-222-200000000002i−2i000000−2i2i0000
χ5222-2-222-20022-2-22-2-2-2-222202-2-20000-200-2-2222-222-20000000000000000000000000000−2i2i-222-20000000000−2i2i0000002i−2i0000
χ534444-24-444-4444-2-2-2-4-4-4-4-2-4-2-2-244-4-42-2-222222000000002-2-2220000000000000000000000000000000000000000000000000
χ544444-24-4-4-4-4444-2-2-2-4-4-4-4-24-2-2-2-4-4442222222200000000-222-2-20000000000000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-211-21100000044-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ564444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-2-211-211000000-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ574444-2-24-4-44-2-2-2-2-2-2-2-2-2-21-41112222-22211-2110000004-42-1-1-1-1-2-222-2-2111122-1-1-1-1000000000000000000000000000000000
χ584444-2-24-4-44-2-2-2-2-2-2-2-2-2-21-41112222-22211-211000000-442-1-1-1-122-2-222-1-1-1-1-2-21111000000000000000000000000000000000
χ594444-2-2-444-4-2-2-2-2-2-222221-4111-2-2222-2-2-1-12-1-100000000211-1-123−2323−2300−3−33300−3−333000000000000000000000000000000000
χ604444-2-2-444-4-2-2-2-2-2-222221-4111-2-2222-2-2-1-12-1-100000000211-1-1−2323−23230033−3−30033−3−3000000000000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-222221411122-2-2222-1-12-1-100000000-2-1-11123−23−232300−3−3330033−3−3000000000000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-222221411122-2-2222-1-12-1-100000000-2-1-111−232323−230033−3−300−3−333000000000000000000000000000000000
χ6344-4-44-2400-4-2224-4-4-2-222-20-2220000400-2-2-4224-44-4000000000000000000000000000000-22-22000000000000000000000000
χ6444-4-44-2400-4-2224-4-4-2-222-20-2220000400-2-2-422-44-440000000000000000000000000000002-22-2000000000000000000000000
χ6544-4-44-2-4004-2224-4-422-2-2-20-2220000-400224-2-24-4-44000000000000000000000000000000-222-2000000000000000000000000
χ6644-4-44-2-4004-2224-4-422-2-2-20-2220000-400224-2-2-444-40000000000000000000000000000002-2-22000000000000000000000000
χ6744-4-4-24400-44-4-4-22244-4-4-20-2220000-200-2-2222000000000000000000000000000004-4000000000000000-2200000000000000
χ6844-4-4-24400-44-4-4-22244-4-4-20-2220000-200-2-222200000000000000000000000000000-440000000000000002-200000000000000
χ6944-4-4-24-40044-4-4-222-4-444-20-222000020022-2-2-2000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ7044-4-4-24-40044-4-4-222-4-444-20-222000020022-2-2-200000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ714-44-4440000-44-4-44-4000040-44-400000000000000004-4000000000000000000000000000000004-40000000000000000000000
χ724-44-4440000-44-4-44-4000040-44-40000000000000000-4400000000000000000000000000000000-440000000000000000000000
χ734-44-44-200002-22-44-423−2323−23-202-22000000023−23023−2300004-400000000000000000000000000000000-2223−2300000000000000000000
χ744-44-44-200002-22-44-423−2323−23-202-22000000023−23023−230000-44000000000000000000000000000000002-2−232300000000000000000000
χ754-44-44-200002-22-44-4−2323−2323-202-220000000−23230−232300004-400000000000000000000000000000000-22−232300000000000000000000
χ764-44-44-200002-22-44-4−2323−2323-202-220000000−23230−23230000-44000000000000000000000000000000002-223−2300000000000000000000
χ774-4-444404i−4i0-4-44-4-44000040-4-444i−4i0004i−4i000000000000004i−4i000000000000000000000000000000000000000000000000000
χ784-4-44440−4i4i0-4-44-4-44000040-4-44−4i4i000−4i4i00000000000000−4i4i000000000000000000000000000000000000000000000000000
χ794-4-444-204i−4i022-2-4-4423−23−2323-2022-2−2i2i−2i32i304i−4i23−230−2323000000000−2i2i−2i32i30000000000000000000000000000000000000000000000000
χ804-4-444-204i−4i022-2-4-44−232323−23-2022-2−2i2i2i3−2i304i−4i−2323023−23000000000−2i2i2i3−2i30000000000000000000000000000000000000000000000000
χ814-4-444-20−4i4i022-2-4-4423−23−2323-2022-22i−2i2i3−2i30−4i4i23−230−23230000000002i−2i2i3−2i30000000000000000000000000000000000000000000000000
χ824-4-444-20−4i4i022-2-4-44−232323−23-2022-22i−2i−2i32i30−4i4i−2323023−230000000002i−2i−2i32i30000000000000000000000000000000000000000000000000
χ834-4-44-2404i−4i0-4-4422-20000-2022-24i−4i000−2i2i00000000000000−2i2i000000i6−i6i6−i6i6−i66−66−66−6000000000000000000000000000000000
χ844-4-44-2404i−4i0-4-4422-20000-2022-24i−4i000−2i2i00000000000000−2i2i000000−i6i6−i6i6−i6i6−66−66−66000000000000000000000000000000000
χ854-4-44-240−4i4i0-4-4422-20000-2022-2−4i4i0002i−2i000000000000002i−2i000000i6−i6i6−i6i6−i6−66−66−66000000000000000000000000000000000
χ864-4-44-240−4i4i0-4-4422-20000-2022-2−4i4i0002i−2i000000000000002i−2i000000−i6i6−i6i6−i6i66−66−66−6000000000000000000000000000000000
χ874-4-44-2-204i−4i022-222-223−23−232310-1-11−2i2i−2i32i30−2i2i−3303−3000000000i−ii3−i30000i6−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
χ884-4-44-2-204i−4i022-222-223−23−232310-1-11−2i2i−2i32i30−2i2i−3303−3000000000i−ii3−i30000−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
χ894-4-44-2-204i−4i022-222-2−232323−2310-1-11−2i2i2i3−2i30−2i2i3−30−33000000000i−i−i3i30000i6−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
χ904-4-44-2-204i−4i022-222-2−232323−2310-1-11−2i2i2i3−2i30−2i2i3−30−33000000000i−i−i3i30000−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
χ914-4-44-2-20−4i4i022-222-223−23−232310-1-112i−2i2i3−2i302i−2i−3303−3000000000−ii−i3i30000i6−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
χ924-4-44-2-20−4i4i022-222-223−23−232310-1-112i−2i2i3−2i302i−2i−3303−3000000000−ii−i3i30000−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
χ934-4-44-2-20−4i4i022-222-2−232323−2310-1-112i−2i−2i32i302i−2i3−30−33000000000−iii3−i30000i6−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
χ944-4-44-2-20−4i4i022-222-2−232323−2310-1-112i−2i−2i32i302i−2i3−30−33000000000−iii3−i30000−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−ζ23000000000000000000000000000000000
χ9588-8-8-4-4800-8-444-444-4-444202-2-20000-400224-2-200000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-8008-444-44444-4-4202-2-20000400-2-2-42200000000000000000000000000000000000000000000000000000000000000
χ978-88-8-480000-88-84-440000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-8-4-400004-444-4443−4343−4320-22-20000000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400004-444-44−4343−434320-22-2000000023−23023−2300000000000000000000000000000000000000000000000000000000000000

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