Finite Group Databasebeta

← Group #11865891

Character table — Group #11865891

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order12223344446666661212121234666121212121212121212121212224444881212121212242424242424242424242424242424242244466121212121212246688121224242424224461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1
χ91111111-1-1111111111111-1111-1-1-1-11-1-1111111111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-11-1111-1-1-111-1-111-1-11-1-11
χ101111111-1-1111111111111-1111-1-1-1-11-1-1111111111-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11-11111-1-1-1-111-111-1
χ111111111-1-1111111111111-1111-1-1-1-11-1-1111111111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-11111-1-1-1-1-1111-11-1-1-1-11111-1-1-111-1
χ121111111-1-1111111111111-1111-1-1-1-11-1-1111111111-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11-1-1-1-1111-1-111-1-1111-1-11
χ131111111-1-1111111111111-1111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-111111-111-11-1-1-1-111-1-1111-11-1
χ141111111-1-1111111111111-1111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-11-1-1-1111-1-11111-1-1-11-11
χ151111111-1-1111111111111-1111-1-1-1-11-1-111111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-11111-1-1-111-1-1-1-111-11-11
χ161111111-1-1111111111111-1111-1-1-1-11-1-111111-1-1-1-111-11-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-1-1-1-111111-1-1-11-11111-1-111-1-11-11-1
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
χ2122222-12222-1222-1-12222-12-1-1-12222-1-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220220000000022-1-100-1-100000000-1-100
χ2222222-12222-1222-1-12222-12-1-1-12222-1-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20-2-200000000-2-2110011000000001100
χ2322222-12222-1222-1-12222-12-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-21111111111112202200000000-2-2-1-100-1-1000000001100
χ2422222-12222-1222-1-12222-12-1-1-12222-1-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-2111111111111-2-20-2-2000000002211001100000000-1-100
χ2522222-12-2-22-1222-1-12222-1-2-1-1-1-2-2-2-2-111-1-1-1-1-10000002-21111122-2-2-1-1-1-1-1-1111111220-2-2000000002-2-1-1001100000000-1100
χ2622222-12-2-22-1222-1-12222-1-2-1-1-1-2-2-2-2-111-1-1-1-1-10000002-21111122-2-2-1-1-1-1-1-1111111-2-202200000000-221100-1-1000000001-100
χ2722222-12-2-22-1222-1-12222-1-2-1-1-1-2-2-2-2-111-1-1-1-1-1000000-2211111-2-222111111-1-1-1-1-1-1220-2-200000000-22-1-10011000000001-100
χ2822222-12-2-22-1222-1-12222-1-2-1-1-1-2-2-2-2-111-1-1-1-1-1000000-2211111-2-222111111-1-1-1-1-1-1-2-2022000000002-21100-1-100000000-1100
χ292222-1222222-1-1-122-1-1-1-1-12-1-1-1-1-1-1-1222-1-12-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100200-1-1-1-1-1-1-1-100002200-1-1-1-100000000
χ302222-1222222-1-1-122-1-1-1-1-12-1-1-1-1-1-1-1222-1-12-1-1222222-2-22-1-1-1-11111-2-21111-2-2111100200-1-1-1-1-1-1-1-10000-2-200111100000000
χ312222-1222222-1-1-122-1-1-1-1-12-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-2222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-200111111110000-2-200111100000000
χ322222-1222222-1-1-122-1-1-1-1-12-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-2-2-22-1-1-1-11111-2-21111-2-2111100-2001111111100002200-1-1-1-100000000
χ332222-122-2-222-1-1-122-1-1-1-1-1-2-1-1-111112-2-2-1-12-1-12222-2-22-2-21111-1-11122-1-1-1-1-2-2111100-200-1-1-1-1111100002-200-1-11100000000
χ342222-122-2-222-1-1-122-1-1-1-1-1-2-1-1-111112-2-2-1-12-1-12222-2-2-22-2111111-1-1-2-2111122-1-1-1-100-200-1-1-1-111110000-220011-1-100000000
χ352222-122-2-222-1-1-122-1-1-1-1-1-2-1-1-111112-2-2-1-12-1-1-2-2-2-2222-2-21111-1-11122-1-1-1-1-2-21111002001111-1-1-1-10000-220011-1-100000000
χ362222-122-2-222-1-1-122-1-1-1-1-1-2-1-1-111112-2-2-1-12-1-1-2-2-2-222-22-2111111-1-1-2-2111122-1-1-1-1002001111-1-1-1-100002-200-1-11100000000
χ372222-12-222-22-1-1-1221111-1-2-1-1-1-1-111-22211-21122-2-22200-2-1-1113−33−30033−3−30033−3−300-200-1-111-1-111000000003−33−300000000
χ382222-12-222-22-1-1-1221111-1-2-1-1-1-1-111-22211-21122-2-22200-2-1-111−33−3300−3−33300−3−33300-200-1-111-1-11100000000−33−3300000000
χ392222-12-222-22-1-1-1221111-1-2-1-1-1-1-111-22211-211-2-222-2-200-2-1-1113−33−30033−3−30033−3−30020011-1-111-1-100000000−33−3300000000
χ402222-12-222-22-1-1-1221111-1-2-1-1-1-1-111-22211-211-2-222-2-200-2-1-111−33−3300−3−33300−3−3330020011-1-111-1-1000000003−33−300000000
χ412222-12-2-2-2-22-1-1-1221111-12-1-1-111-1-1-2-2-211-21122-2-2-2-200211-1-13−3−330033−3−300−3−33300200-1-11111-1-1000000003−3−3300000000
χ422222-12-2-2-2-22-1-1-1221111-12-1-1-111-1-1-2-2-211-21122-2-2-2-200211-1-1−333−300−3−3330033−3−300200-1-11111-1-100000000−333−300000000
χ432222-12-2-2-2-22-1-1-1221111-12-1-1-111-1-1-2-2-211-211-2-2222200211-1-13−3−330033−3−300−3−33300-20011-1-1-1-11100000000−333−300000000
χ442222-12-2-2-2-22-1-1-1221111-12-1-1-111-1-1-2-2-211-211-2-2222200211-1-1−333−300−3−3330033−3−300-20011-1-1-1-111000000003−3−3300000000
χ452-22-222200-2-22-2-22-222-2-2202-2-2000020022-2-2-22-22-200000000000000000000000000002i−2i2-22-200000000002i−2i0000002i−2i0000
χ462-22-222200-2-22-2-22-222-2-2202-2-2000020022-2-2-22-22-20000000000000000000000000000−2i2i2-22-20000000000−2i2i000000−2i2i0000
χ472-22-222200-2-22-2-22-222-2-2202-2-2000020022-2-2-2-22-2200000000000000000000000000002i−2i-22-2200000000002i−2i000000−2i2i0000
χ482-22-222200-2-22-2-22-222-2-2202-2-2000020022-2-2-2-22-220000000000000000000000000000−2i2i-22-220000000000−2i2i0000002i−2i0000
χ492-22-222-2002-22-2-22-2-2-222202-2-20000-200-2-22222-2-2200000000000000000000000002-20002-2-220000002-2000000002-2000000
χ502-22-222-2002-22-2-22-2-2-222202-2-20000-200-2-22222-2-220000000000000000000000000-220002-2-22000000-2200000000-22000000
χ512-22-222-2002-22-2-22-2-2-222202-2-20000-200-2-2222-222-200000000000000000000000002-2000-222-20000002-200000000-22000000
χ522-22-222-2002-22-2-22-2-2-222202-2-20000-200-2-2222-222-20000000000000000000000000-22000-222-2000000-22000000002-2000000
χ5344444-2-444-4-2444-2-2-4-4-4-4-2-4-2-2-244-4-42-2-222222000000002-2-2220000000000000000000000000000000000000000000000000
χ5444444-2-4-4-4-4-2444-2-2-4-4-4-4-24-2-2-2-4-4442222222200000000-222-2-20000000000000000000000000000000000000000000000000
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
χ6344-4-44404i−4i04-44-4-4-4000040-44-44i−4i0004i−4i000000000000004i−4i000000000000000000000000000000000000000000000000000
χ6444-4-4440−4i4i04-44-4-4-4000040-44-4−4i4i000−4i4i00000000000000−4i4i000000000000000000000000000000000000000000000000000
χ6544-4-44-204i−4i0-2-44-4220000-202-224i−4i000−2i2i00000000000000−2i2i000000i6−i6i6−i6i6−i66−66−66−6000000000000000000000000000000000
χ6644-4-44-204i−4i0-2-44-4220000-202-224i−4i000−2i2i00000000000000−2i2i000000−i6i6−i6i6−i6i6−66−66−66000000000000000000000000000000000
χ6744-4-44-20−4i4i0-2-44-4220000-202-22−4i4i0002i−2i000000000000002i−2i000000i6−i6i6−i6i6−i6−66−66−66000000000000000000000000000000000
χ6844-4-44-20−4i4i0-2-44-4220000-202-22−4i4i0002i−2i000000000000002i−2i000000−i6i6−i6i6−i6i66−66−66−6000000000000000000000000000000000
χ6944-4-4-2404i−4i042-22-4-423−2323−23-202-22−2i2i−2i32i304i−4i23−23023−23000000000−2i2i−2i32i30000000000000000000000000000000000000000000000000
χ7044-4-4-2404i−4i042-22-4-4−2323−2323-202-22−2i2i2i3−2i304i−4i−23230−2323000000000−2i2i2i3−2i30000000000000000000000000000000000000000000000000
χ7144-4-4-240−4i4i042-22-4-423−2323−23-202-222i−2i2i3−2i30−4i4i23−23023−230000000002i−2i2i3−2i30000000000000000000000000000000000000000000000000
χ7244-4-4-240−4i4i042-22-4-4−2323−2323-202-222i−2i−2i32i30−4i4i−23230−23230000000002i−2i−2i32i30000000000000000000000000000000000000000000000000
χ7344-4-4-2-204i−4i0-22-222223−2323−2310-11-1−2i2i−2i32i30−2i2i−330−33000000000i−ii3−i30000i6−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
χ7444-4-4-2-204i−4i0-22-222223−2323−2310-11-1−2i2i−2i32i30−2i2i−330−33000000000i−ii3−i30000−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
χ7544-4-4-2-204i−4i0-22-2222−2323−232310-11-1−2i2i2i3−2i30−2i2i3−303−3000000000i−i−i3i30000i6−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
χ7644-4-4-2-204i−4i0-22-2222−2323−232310-11-1−2i2i2i3−2i30−2i2i3−303−3000000000i−i−i3i30000−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
χ7744-4-4-2-20−4i4i0-22-222223−2323−2310-11-12i−2i2i3−2i302i−2i−330−33000000000−ii−i3i30000i6−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
χ7844-4-4-2-20−4i4i0-22-222223−2323−2310-11-12i−2i2i3−2i302i−2i−330−33000000000−ii−i3i30000−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
χ7944-4-4-2-20−4i4i0-22-2222−2323−232310-11-12i−2i−2i32i302i−2i3−303−3000000000−iii3−i30000i6−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
χ8044-4-4-2-20−4i4i0-22-2222−2323−232310-11-12i−2i−2i32i302i−2i3−303−3000000000−iii3−i30000−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
χ814-44-44-2400-424-4-4-2244-4-4-20-2220000-200-2-2222000000000000000000000000000000004i−4i00000000000000−2i2i000000000000
χ824-44-44-2400-424-4-4-2244-4-4-20-2220000-200-2-222200000000000000000000000000000000−4i4i000000000000002i−2i000000000000
χ834-44-44-2-400424-4-4-22-4-444-20-222000020022-2-2-2000000000000000000000000000004-40000000000000-220000000000000000
χ844-44-44-2-400424-4-4-22-4-444-20-222000020022-2-2-200000000000000000000000000000-4400000000000002-20000000000000000
χ854-44-4-24400-4-4-2224-4-2-222-20-2220000400-2-2-4224-44-4000000000000000000000000000000-22-22000000000000000000000000
χ864-44-4-24400-4-4-2224-4-2-222-20-2220000400-2-2-422-44-440000000000000000000000000000002-22-2000000000000000000000000
χ874-44-4-24-4004-4-2224-422-2-2-20-2220000-400224-2-24-4-44000000000000000000000000000000-222-2000000000000000000000000
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χ914-4-44-240000-422-2-4423−23−2323-2022-2000000023−230−232300004-400000000000000000000000000000000-2223−2300000000000000000000
χ924-4-44-240000-422-2-4423−23−2323-2022-2000000023−230−23230000-44000000000000000000000000000000002-2−232300000000000000000000
χ934-4-44-240000-422-2-44−232323−23-2022-20000000−2323023−2300004-400000000000000000000000000000000-22−232300000000000000000000
χ944-4-44-240000-422-2-44−232323−23-2022-20000000−2323023−230000-44000000000000000000000000000000002-223−2300000000000000000000
χ958-88-8-4-4800-84-444-44-4-444202-2-20000-400224-2-200000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4-80084-444-4444-4-4202-2-20000400-2-2-42200000000000000000000000000000000000000000000000000000000000000
χ978-8-888-400004-8-884-40000-4044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-40000444-44-443−43−434320-2-220000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-40000444-44-4−434343−4320-2-22000000023−230−232300000000000000000000000000000000000000000000000000000000000000

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